diff --git "a/data/dm_maths/full_data/10660_11255.jsonl" "b/data/dm_maths/full_data/10660_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10660_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Work out 369 + 10.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.7 and -370152.\nAnswer: -370153.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.135 and 0.5.\nAnswer: 10.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((1 + 10 - (57 + (-32 - 18))) + 54)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 4*n**2 - 16*n + 5. Suppose 0 = -u - 5*q - 8, 30*u - 33*u + 4*q - 5 = 0. What is the units digit of v(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-2)*4\/15. Let z = -9\/5 - t. Let q = 13 - 13. Sort q, z, -2 in descending order.\nAnswer: q, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 3. Let c(t) = 2*t - 6. Let v(p) = -2*c(p) - 5*g(p). Let j = 153 + -153. What is v(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 - k + 2. Calculate g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16\/3 (b) -7 (c) 2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43759448009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10647628000 to the nearest one million.\nAnswer: -10648000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181 and 594707537?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5290712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 11*g**2 - 26*g + 30. What is the remainder when 52 is divided by r(13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**(2\/7))**44\/(k**(2\/11)*k*k*k\/(k*k*k**0\/k)*k*k\/(k**(-2\/11)*k)*k*k*k*(k**5*k)\/k*k) assuming k is positive.\nAnswer: k**(-2888\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*p**5 + 405*p**4 - 1840*p**3 - 2605*p**2 + 5160*p - 1100 = 0. What is p?\nAnswer: -2, 1\/4, 1, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16*l**3 + 3*l**2 + 3*l - 4. Let v be y(1). Let t = 15549 + -203162\/13. Let r = 79 + t. Sort -0.3, r, v in descending order.\nAnswer: r, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3275 is divided by (-3)\/(-21 - (-2430)\/117)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8.06. Let r = 3 + -2.94. Let i = r + z. What is the second smallest value in 3, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714793551.\nAnswer: 3, 109, 2185913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5 - 4) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:59 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 8:06 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m**2 - m + 1. Let w be -6 + -1 + (-77 - -83). Let v(s) = -s**3 + 3*s**2 + s - 3. Calculate w*v(i) - p(i).\nAnswer: 2*i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/6 and 45\/2026.\nAnswer: 6078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 4 = 41. Solve f = j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/10)\/(5\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -85. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 252201203894 and -0.0271.\nAnswer: 252201203893.9729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4352148778.\nAnswer: 2, 19, 811, 141221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7\/4 (b) 2 (c) 6 (d) -38 (e) -0.05 (f) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1140046 + -1140162.0098. Let o = 116 + h. Round o to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.928 + -0.85. What is t rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1081 + 23443009.\nAnswer: 23443009.1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4897383*h**4 + 1303375*h**2?\nAnswer: 117537192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*d - 12, -r - 2*d - 12 = -5*r. Suppose -v = -r, 15 = -4*j - 5*v + 54. Suppose j*w - w + 1750 = 0. Round w to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 27*j - 23*j - 27, -6 = h - 3*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 603554611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b + 1. Let z be g(-2). Let f = -1\/172 + 521\/860. Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 474.07 + -469. Let u = l + -0.07. Let s = -4.87 + -0.13. What is the smallest value in -3\/8, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -373158*y**4 - 4896907 wrt y.\nAnswer: -1492632*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 9*g - 1230 = 2*p, 759 = 3*g + 3*p. Let b = 298 + g. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 2*r + 6. Let d be y(3). Suppose -d*g + g = -82. Suppose 0 = -5*n + 4*n + g. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 - 20*w)*(0 - 5 + 2) - 6*w + 30*w - w.\nAnswer: 83*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 69 - 27. Let z = k + -8. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3190209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8737250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(75))*1 + ((sqrt(75) - -1*sqrt(75)) + sqrt(75))*6)**2.\nAnswer: 380*sqrt(3) + 27079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247392405?\nAnswer: 3, 5, 13, 422893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(16\/10 - 20\/(-50))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -631 - -911. Suppose 0 = 3*v + 3*g - z - 194, 2*v - 5*g - 330 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*q + 187 + 1346, 4*y = 3*q + 6154. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 9*j**2. Let a(c) be the first derivative of c**4\/4 + 5*c**3\/3 - 1. Suppose 4*v = -v - 15. Calculate v*p(n) + 5*a(n).\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3794780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15412480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.802 + -34.248. Let x = 35.87 + 0.13. Let p = r + x. Which is the nearest to 3\/4? (a) p (b) 3 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**27\/t)\/t)\/((t**34\/t)\/t))\/(t**(-36))**(-24) assuming t is positive.\nAnswer: t**(-871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x - 5. Let g(p) be the first derivative of -3*p**2 - 4*p - 114. Let v(m) = -5*g(m) + 4*r(m). Let s(h) = -151*h. Determine s(v(n)).\nAnswer: 302*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = 6*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -25. Let f(d) = -4*d - 7. Let r be f(-6). Let y = -12 + r. What is the closest to -1 in n, -0.1, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**2 + 2\/3*u**3 + 0 + 4*u. Let o(i) = -i**2 + i. Let y(w) = -w. Let c(t) = -2*o(t) - 2*y(t). Give c(k(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 11*r**6\/60 + 46*r**5\/3 + 1589*r**4\/4 - 294*r**3 + 44*r**2. Factor g(t).\nAnswer: 2*(t + 21)**2*(11*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2\/g**(-3)*(g**(-4)\/g)\/g**2*(g*((g*(g*g*g**(-1\/3)*g*g)\/g*g)\/g)\/g*g)\/(g*g**(-2\/5)*g)*(g\/(g**(1\/3)*g))**(-41) assuming g is positive.\nAnswer: g**(221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.06, -0.1, 622, -4, 1\/6 in decreasing order.\nAnswer: 622, 1\/4, 1\/6, 0.06, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1948, 0.03, -2\/3, 2\/15, 3 in descending order.\nAnswer: 3, 2\/15, 0.03, -2\/3, -1948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 15*t**3 - 7*t**3 - 7*t**3 + 7*t - 5 - 2*t**2. Let r be w(-4). Let n be ((-2)\/6)\/((-33)\/27). Is n <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5 - 2615*s**4 + 423535*s**3 - 22192465*s**2 + 43124760*s - 21353220 = 0. What is s?\nAnswer: 1, 126, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17232, -68041, -152720, -271263, -423664, -609917, -830016, -1083955?\nAnswer: -1371728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-20))\/((52\/15)\/26))\/(-2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283 - -2179. What are the prime factors of k?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49.69982364 - -49.7. Round x to six decimal places.\nAnswer: 0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((sqrt(99) - (sqrt(99) - (sqrt(99) + sqrt(99)*1 - sqrt(99))))\/sqrt(9)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83b + 3257?\nAnswer: 2719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2\/3 - 187994*q\/3 + 31332 = 0. What is q?\nAnswer: 1\/2, 46998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 34640 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 13 = q, 3*q + 33 = -5*v - 26. Let n be -1*(-1 - 0)*-8. Is 21 a factor of 7\/q + (-338)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -10223?\nAnswer: 10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**7)\/t*t*(t\/(t**(-11)*t))\/t*((t*t*(t\/((t*t**(-2\/7)*t)\/t))\/t)\/t)\/(t*t**9))**(-29) assuming t is positive.\nAnswer: t**(-1682\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y = -10. Let h(v) = v**2 - 4*v - 2. Let k be 3\/(-2) + 182\/28. Let f be h(k). Sort y, f, 1 in decreasing order.\nAnswer: y, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 479202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24967, 49952, 74937, 99922, 124907, 149892?\nAnswer: 174877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*d**2 + 1241*d**4 - 586*d**4 + 30*d**2 + 3*d wrt d?\nAnswer: 15720*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Solve j = -u + 1 - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 10, 3*w - 7*w - x - 2195 = 0. Does w = -550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88619368 by -41.\nAnswer: 2161448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/20 - 7*r**4\/6 - r**3\/2 + 23*r**2 - 89*r. Let p be s(14). Solve 0 = -2*u - p - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 21*z + 4. Let p(s) = -1450*s - 275. Determine -4*p(a) - 275*q(a).\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 16. Let l be t(-16). Let j(g) = g + 1. Let c be j(10). Suppose -c*b + 593 + 452 = l. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1763*f**2 + 3518*f**2 - 1431*f**2 + 4*f in the form j*f + t + x*f**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - 4*i + 7. Suppose 0 = 5*r - 37 + 22. What is the remainder when 77 is divided by f(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 70.89535 years?\nAnswer: 850.7442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 98 = -3*x, s + 0*s = -4*x + 109. What is the remainder when 292 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z. Let r(t) = -75*t. Let y(w) = 24*g(w) - 5*r(w). Let h(s) = 7*s. Let p(m) = 13*h(m) - 6*y(m). Let a(c) = -98 + 98 + 29*c. Determine p(a(d)).\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5171574 decades in months?\nAnswer: 62.058888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133*f**3*u**3 - 8*f**2*u**3 - 1721*u**3 wrt f?\nAnswer: -399*f**2*u**3 - 16*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 766928582 from -41.\nAnswer: -766928623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d6f (base 16) to base 13.\nAnswer: -1747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5315115 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 20*v + 65. Let k be j(-5). Factor -12*d**3 + k*d**4 - 9*d**3 + 24*d**2 - 18*d**4.\nAnswer: -3*d**2*(d - 1)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1444211 and 1846?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 16*b - 77. Let d be p(5). Solve -d = 4*i + 3*g + 6, -4*i - 5*g = 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/2)\/(9\/(-6)). Let d(p) be the second derivative of 12*p + 1\/3*p**3 - 1\/2*p**2 + 0 + 1\/3*p**4. What is d(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2985241?\nAnswer: 7, 347, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/9890)\/(5\/(-7955)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.67884961 to 2 decimal places.\nAnswer: 4.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 48 = 4*g, g - 45 = -3*g + a. Suppose 0 = 5*s + 19 + g. Sort 4, -1, 3, s.\nAnswer: s, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 25 - 52)*(2*z - 2*z - 2*z**2)*(3*z + 0*z + 2*z).\nAnswer: 990*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exexxexx. Give prob of sequence eex.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 3*m - 10. Let d be t(-5). What is the remainder when (d\/(-4))\/((-3)\/6) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 134273 and 21491?\nAnswer: 112782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 d when four letters picked without replacement from {v: 5, b: 1, d: 3}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeunaaun. What is prob of picking 1 u and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 + 3*b**2 + 19*b + 7. Let o be v(8). Sort -1, o, -2 in descending order.\nAnswer: o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -238241244 divided by 59560311\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366324.\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 103321102023 (base 4) to base 7\nAnswer: 62221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -40.1?\nAnswer: 40.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66*37\/888 + ((-24)\/(-36))\/(40\/(-9)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzaz when four letters picked without replacement from zazppaza?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/21525 and -149\/20088.\nAnswer: 144131400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-34))\/((-1)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*3 + (-202)\/12*-1 and (-677)\/(-56) + 4\/14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d - 1867 + 823 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (0\/1 + -3). What is the second derivative of -86*d**2 + 86*d**2 - 9*d - 9*d**b wrt d?\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 12. Let a be b(10). Suppose -3 = -6*l + a*l + q, 5*l + q = 15. Let c(t) = 8*t**2 + 4*t**l + 0 + 4 - 3. Calculate c(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 21. Let t(r) = -12560*r. Determine l(t(g)).\nAnswer: -25120*g + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -40 + 36 + (-4)\/(-1). Put q, 1, 11 in ascending order.\nAnswer: q, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 1. Let v(u) = -u + 1. Let q(y) = -4*v(y) + 3*w(y). Suppose 5 - 14 = -3*m. Calculate q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198509 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-715*u**2 + 2454*u**2 - 413*u**2)*(0*u + 2*u - 4*u).\nAnswer: -2652*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54625 and 2300.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**3 - 4*j**2 + 2*j - 4. Let i(t) = 19*t**3 + 9*t**2 - 5*t + 9. Calculate -4*i(y) - 9*v(y).\nAnswer: 5*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24696583.\nAnswer: 523, 47221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 7*l**2 - 4*l + 4. Let g be o(-6). Let c = 11 + g. Suppose -r + a + 11 = r, 0 = c*r - 2*a - 16. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*-4*2\/20. Let c be 1\/2*(j - 2). Find the third derivative of 4*d**2 - 4*d**4 - 4*d**c - 5*d**2 wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 + 2192*k**3 - 12*k**2 - 15246*k + 13068 = 0. What is k?\nAnswer: -33, -3, 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-214)\/18 + -8*(-1 + 0). Sort -5, i, -15, 0, -9.\nAnswer: -15, -9, -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29657)\/344526 + (-1)\/(-21)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*t - 18811 - 25814 = -119*t. Does 75 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-21) + 17\/(-51). Let n = 19\/8 - 5\/2. What is the third smallest value in f, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604, -671, -838, -1153, -1664, -2419, -3466?\nAnswer: -4853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*w = -1345 + 1350, 5*w + 13 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1258 + 1257. Which is bigger: 1\/73 or o?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23744 and 834326?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 467, 370, 201, -46, -377?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487033?\nAnswer: 17, 28649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 6*m - 4*m)*(-18*m**4 - 4*m**4 + 5*m**4).\nAnswer: 17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 3, a: 1, m: 1}. Give prob of sequence ass.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51471046367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*b + 11*b + 19*b + (-3*b + 4*b + b)*(4 - 1 - 5) + 2*b - 2 + 2)*(-9 + 9 - 24).\nAnswer: -240*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1547 and 18018266?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/11 + 8*n\/11 - 42\/11 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 7*n**2 - 8*n - 9. Let f be k(-6). Suppose -23 = -2*z - f. Suppose -24 + z = -r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 11*j**2 - 11*j - 4. Let s be (8\/20)\/(2\/(-50)). Let f be g(s). Suppose f*d + 83 = 7*d. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4*l*o**2 + 277*k**2*l*o**2 + 2*k*l*o**2 - 9*k*l - 2*k - 6*l*o**2 wrt k?\nAnswer: 12*k**2*l*o**2 + 554*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 840*l + 14688*l + 134903 + 2163241 for l.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 9*t**2 + 8 - 2*t - 3*t - t**3 + 0*t**3. Let c be g(-6). Suppose -c = -2*y - q, y + 5 = -0*y - 2*q. Solve y*p - 4 = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 4*u**2 + 3*u + 3. What is r(-4)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12, 23, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38068*t**2 + 38068*t**2 + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/220*(((-56)\/12)\/(-7))\/(19\/(-855))\nAnswer: 84\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/3 + -10*(17 + -16)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/8*d + 2*d**2 + 1\/8*d**3 - 81\/4.\nAnswer: (d - 2)*(d + 9)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aas when three letters picked without replacement from seaauhj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -21, -144.41?\nAnswer: -144.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 14*f**2 + 3*f + 5*f**2 - 2*f + 18*f**3 - f**4 + 7*f**2 to the form n*f**4 + b*f**2 + q*f + i*f**3 + a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*24\/(624\/(-26)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/84 and -107\/54?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2 - 2 + 3*a. Let q(z) be the second derivative of -z**4\/12 - 302*z. Calculate q(j(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 1. Let u be ((-6)\/(-8))\/(1\/12). Let t(d) = u + 6 - 4*d - 13. Give -6*i(p) - 2*t(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s - 39. Determine f(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268257134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-16\/9)\/a**(4\/5))\/((a*a**(7\/4))\/a**26))**(-6\/25) assuming a is positive.\nAnswer: a**(-3721\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 32*g + 37*g - 4, 3*s + 8 = -5*g for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -13, 4, 1.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16002 by -4123.\nAnswer: -2286\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4387145.\nAnswer: 5, 7, 163, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -2. Suppose x*s = -0*o + 3*o + 262, 4*o - 4 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/(-2646))\/(6\/(-1))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*h + 1 - 3*h - 2 + 2 + 0*h + 0*h - 2*h + (-1 + 1 - 1)*(4*h + 2*h - 4*h) - 3*h + 2*h + 2*h)*(-4*h**3 + h**3 + h**3).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*t + 2*a**2 - 10*a*c*t + 2181499*a*c + 39346*t wrt t?\nAnswer: -2*a**2 - 10*a*c + 39346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.67838 rounded to the nearest integer?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -18*f**4 + 489*f**3 - 71*f**2 - 270*f = 0.\nAnswer: -2\/3, 0, 5\/6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 230150891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrrr when four letters picked without replacement from vvlvvrhlrrhvr.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*k - 12 = -0*j, -j + 4*k = 9. Suppose -h - x - 8 = -74, j*x + 192 = 3*h. Suppose -2*d = h - 273. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:04 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2908874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(99)*-2 + 5)**2 - (((1 + sqrt(99))**2 + -4 - sqrt(99)) + sqrt(99) + (-2*(sqrt(99)*1 + sqrt(99)))**2)) + 5.\nAnswer: -1270 - 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**2 + 3*x - 10. Let c(a) = 8*a**2 - 4*a + 13. Determine 3*c(q) + 4*g(q).\nAnswer: -4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((-3)\/42) - (1044\/96 + -4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {a: 2, p: 18}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -153.1. Let v = 28.624 - h. Round v to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12111122122220 (base 3) to base 4\nAnswer: -23022112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1700\/(-19635) - 6\/(-33)) + 4\/(-42). Factor 0*s + 8\/5*s**2 + 0*s**3 - 2\/5*s**4 + w.\nAnswer: -2*s**2*(s - 2)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -835537920 by 59681280.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-536)\/(-33500))\/(1\/1*(-3)\/(-15))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = p + 2*p - 7, -19 = -3*p - 2*n. Suppose 0*u - 25 = -p*u. Suppose 0 = u*b - 4*b - 443. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-4)\/f)\/f)**(-2\/69))**(-47) assuming f is positive.\nAnswer: f**(-188\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -17 - (0 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 5:25 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15615 + -15616.1521. Round d to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gngu when four letters picked without replacement from {u: 4, e: 1, g: 2, n: 6}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g. Suppose -5*w - 3*z = -22, -2*w + 9 = -0*w + z. Let m(k) = -4*k + w*k + k. Calculate m(t(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l - 4. Let o(i) = i - 1. Let d be o(1). Suppose -s + 3 = -d*s. Is b(s) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -248 - -253. Suppose 3856 = g*w + 1206. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + (2807\/21 - 0). Calculate the common denominator of 23\/38 and o\/4*(1\/2 + 0).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68546587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/56 + (-4)\/(-16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/2 (c) -2 (d) 0.37 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3 + 6 + (0 - -3). Suppose -4*u = -c + 63, -105 = 5*u - c + d*c. Calculate the remainder when 136 is divided by (-104)\/17 + 6 - 342\/u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 1 - 9. Let v be (d\/4)\/((-3)\/(-108)). Let k be (-5)\/2*v\/(-15). Solve 0 = l, 4*g + g + 5 = k*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1811*u = 1807*u - 2*o + 22, -4*u + 92 = 16*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 + 193*u - 385. Determine g(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1237, -1, -5, 3, 5, -10.\nAnswer: -10, -8, -5, -1, 3, 5, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24452309\/132 + -185246. Find the common denominator of d and 58\/297.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -289919443.\nAnswer: 115967777.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -679 - -717. Suppose -4*l - c + 0*c + 7 = 0, l - 5 = 3*c. Suppose 0 = -l*d + 3 + 11. What is the least common multiple of d and x?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuuxuuuuuuuux. Give prob of picking 3 u.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2 + 94470*m - 60192988 = 0. What is m?\nAnswer: 646, 46589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -23 (c) -28774\/5 (d) 0.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006811376 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 61 * 0.3\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3715 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16883 (base 16) to base 7\nAnswer: -533033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, -440, -1679, -4090, -8063, -13988, -22255?\n\"Answer: -65*m**3 - m**2 + m + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20821 and 1739.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7))**(-48)*((w*w\/(w*w**(-2\/3)*w))\/w)**(-31) assuming w is positive.\nAnswer: w**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -573 + 82?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74461, 74491, 74541, 74611?\nAnswer: 74701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 18. What is the tens digit of r(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -62*s - 1451. Determine x(-24).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 23*a - 112. Calculate r(-24).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/100 and 83\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -77\/6, 11146, 4?\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose 3*g + 12 = -3*j, -3*j = -5*g + 12 - 0. Let t(i) = -2*i - 6. Let s be t(j). Solve 13 = -5*v - s*p - 5, 2*p = h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525770 is divided by 3266.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -825 or 28\/3?\nAnswer: -825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.9 - -0.9. Let j = 9.9 + -8. Let l = j + -2. Is q less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5845 + 4578. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 26. Suppose -g = -0*g - 6. What is the least common multiple of j and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/141)\/(32\/6 - -3).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 15*k - 26. Calculate f(13).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2079 or 2074?\nAnswer: 2074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*c - 8624 = 370*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 67855679*a**3 - 3 + 67855681*a**3 + 277*a**2 + 2 to the form v*a**3 + i*a + b*a**2 + q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -1.6. Let q = 3.7 + c. Let t = -2.6 + 3.1. What is the third smallest value in q, t, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 22117636 + 22117635 - 44235271.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -796911.797 - -796906.29699963. Let p = w - -5.5. Round p to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*v)*(2*v + 0*v - 3*v)*(148*v**2 - 76*v**2 - 63*v**2 + 2).\nAnswer: -18*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63624 divided by -3.\nAnswer: 21208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -1004, -1551, -2100, -2651, -3204?\nAnswer: -3759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 223 (b) 25 (c) -5 (d) 1\/2 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/3))**(2\/27)\/(p\/p**5*p**(4\/7)) assuming p is positive.\nAnswer: p**(2014\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/24 and 41\/96390.\nAnswer: 385560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6 - (7 - (-28)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**3\/6 - 2*c**2 - c. Suppose 75*x - 85*x = 40. Let b be p(x). Solve v = b, -3 = 3*g - 2*g - 2*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*k**5 - 924*k**4 - 2383*k**3 + 1720*k**2 + 1988*k - 1200 = 0. Calculate k.\nAnswer: -100, -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**2 + 4*o + 4. Let n(a) = 10*a**2 - 5*a - 5. Let t = -379 - -383. What is t*n(l) + 5*h(l)?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 71886800 to the nearest one hundred thousand.\nAnswer: 71900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 5:46 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -6992, -4196 in decreasing order.\nAnswer: -1\/2, -4196, -6992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1057 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11, -0.1, 0.06, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210824144 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 70 = -102. Suppose 26*v - 110 = -t. Let r(l) = -l**2 + 5*l - 2. Let a be r(5). Put v, a, 5 in increasing order.\nAnswer: a, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1993, -2010, -2031, -2056, -2085?\n\"Answer: -2*q**2 - 11*q - 1980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -3.2334962.\nAnswer: 12.9339848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-10*l + l - 2*l)*(3*l - 3*l + l) - 5*l**2 + 3*l**2 + l**2)*(-2*l + 6*l + 2*l).\nAnswer: -72*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 30 = 4*y. Let l(x) = 3*x**2 + 27*x + 2. Let i be l(-9). Suppose 0 = -7*n + i*n + y. Calculate the greatest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 8*x + 60. Let f be 2\/(12\/(-2))*x. Sort -2\/5, -1\/2, f.\nAnswer: f, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 970073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5443.\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, and 1 j when three letters picked without replacement from jttmjvmotvmm.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -23.5. Let p = 3 + h. Which is the biggest value? (a) p (b) 0.3 (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than or equal to 284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1768 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.380883717 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.2, 11, -2\/721, -1\/6, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 37213.3.\nAnswer: 37213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 6*x. Let h be (15\/10)\/((-3)\/(-14)). Let g(t) = t**2 + 7*t. Let j(b) = h*a(b) + 6*g(b). Let p(c) = 3*c. Calculate j(p(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28008 (base 9) to base 12\nAnswer: -ab82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-1 - 5) + (74 - 67)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n - 2*b = -162, 4*n = -4*b - 144. Let o = 75 + n. Suppose -5*m + o = -m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 13}. Give prob of picking 1 d and 1 j.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/3, 46, -3\/8?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q + 9. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/112 - 277\/112. Let m be 20\/10 + (-7)\/1. Let n be 3\/m + 174\/390. What is the second smallest value in n, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*t - 124 + 142 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/3)\/(3\/(-36)). Let n be 18 - 11\/((-143)\/(-104)). Calculate the highest common factor of n and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 14*z - 26. Let t be s(-16). Let y(f) = 6*f**3 - 11*f**2 - f + 5. Is y(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/3)\/f)**(-3\/10)*(f**7)**(1\/80) assuming f is positive.\nAnswer: f**(71\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1278238*s**5 - 2081*s + 866 wrt s?\nAnswer: 25564760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15297900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -68d191 (base 14) to base 11\nAnswer: -2019438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4\/3 + 26*p**3\/3 - 35*p**2\/3 + 2*p = 0.\nAnswer: 0, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*a*f*y + 6925*a*y + f**2*y - 55*f**2 - 3*y wrt f?\nAnswer: -13*a*y + 2*f*y - 110*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let d(x) = 4*x**2 - 2*x. Let v = 56 - 62. Let i(b) = v*y(b) + 3*d(b). Let c(z) = 3*z. Give i(c(k)).\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 41a1b (base 13) to base 5\nAnswer: 12240110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1464 = 204*g - 692*g. Which is the second smallest value? (a) -30\/13 (b) 2\/31 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 19, 39, 69, 109, 159?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 9 = -6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i - 3*i + 21*i - 3*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1929 + 2 + 15 + -14. Suppose -6*f + a = -2*f + 4*y, 4*f + 2*y = 1936. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177356203 - 33?\nAnswer: 177356150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6175)\/342 + 65 + -47?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 22*p**2 - 11*p + 10. What is the remainder when 35 is divided by a(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 4*b - 35, 60 = -2*u - 2*b. Let p = -64 - u. Let a be -2*(1 - p\/(-6)). Solve -a = 3*y - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1 (b) 1\/4 (c) 0.2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 92*r**4\/5 + 36*r**3 - 284*r**2\/5 + 12*r\/5 = 0.\nAnswer: -3, 0, 1\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2 + 995313*t - 6967044 = 0.\nAnswer: 7, 331764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 211050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9242412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5976*y**2 - 219*y**2 + 549*y**2 in the form g*y**2 + j + i*y and give g.\nAnswer: -5646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 + -1) - 2) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62237240*m**5 - 189290820*m**2?\nAnswer: -3734234400*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 s when three letters picked without replacement from {s: 5, v: 7, i: 8}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 10) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13415, 4, 170 in decreasing order.\nAnswer: 170, 4, -13415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94642245*i**2 + 91049021*i wrt i.\nAnswer: 189284490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 3. Let f(g) = -2*g + 5. Let n(v) = 6*f(v) + 10*h(v). Let z(w) = -3*w. Calculate z(n(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2 + 11 - 6*f**2 + 4*f**2 wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 7*v**6\/20 - 69*v**5\/40 + 5*v**4\/2 - v**3 + 10*v. What is t in d(t) = 0?\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**4 - 36*t**3 + 252*t**2 - 380*t + 168 = 0.\nAnswer: -14, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eor when three letters picked without replacement from {r: 1, o: 1, y: 1, e: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuttutiuuiuuuutu. Give prob of picking 1 u and 2 t.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 1 - 1\/2*i**2 + 1\/3*i**3 + 0*i. Let g be w(-1). Solve 7*d - g*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -395 or -396?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4032 and -59\/16848?\nAnswer: 471744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-2 + 1)\/47). Let o = x - 25. Suppose -2*r + o + 14 = 0. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*c**4 + (-3*c**4 + 4*c - 4*c)*(4 - 3 + 4).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2. Let u(c) = -227*c. Calculate u(i(m)).\nAnswer: -1362*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiuu. What is prob of sequence uuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112748*v**2 - 10172*v**2 - 101867*v**2 + 58038*v**2.\nAnswer: -166749*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**4 + i**2 - 8*i**4 - 18 - i - 8 + 25 - 194*i**3 in the form o*i**2 + j + m*i**3 + q*i + a*i**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 2*r - 2. Let c be t(-4). Let w = c + 41. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 77 - 13. Let o(y) = -1 + 0*y - 4 - 2*y + 3*y. Give o(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5\/7)\/v)\/v)\/(v*v**7)*v**(3\/5)*v**14*v assuming v is positive.\nAnswer: v**(171\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 614943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 + 3284798*n - 2697474475201 = 0. What is n?\nAnswer: 1642399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917200 a multiple of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0 + 0*n**2 + 2*n - 1\/6*n**3. Let a(u) = 3*u + 70. Let f(z) = -2*z - 30. Let k(l) = 3*a(l) + 7*f(l). Calculate v(k(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 7*o + 42)*(-3*o - 3*o + 4*o) + 5*o**2 + 16*o**2 - 74*o**2.\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6106\/13 - 470. Which is the third biggest value? (a) -2 (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/890 (b) 51 (c) -2\/7 (d) -0.7 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -40.9996. Round f to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2448) - sqrt(2448)*3)*-2 + sqrt(2448) + 1 + (((sqrt(2448) + 3)*1 - sqrt(2448))*2)**2.\nAnswer: 33 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 6*v = 322. Suppose -k + 2*n + v = 2*k, -n = 4. Suppose -y + 56 + k = 2*u, 4*y - 4*u - 404 = 0. List the prime factors of y.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/10)\/((-5 + -3)\/320). Suppose 2*w + 10 = 0, -11*n + 12*n = 5*w + u. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, and 1 r when three letters picked without replacement from sxwegrxr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 169 + 46 - (107 + 31)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10105183819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 149\/((((-5)\/3)\/(710\/(-852)))\/(-1 + -1)).\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 8*y**3 + 5*y**3 + y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.81 + -26. Let i = -0.03058 + 8.03058. Which is the smallest value? (a) i (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 - (-169 + 96 + -129)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.3 - 35.5. Which is the nearest to 0.1? (a) 4\/13 (b) 0.04 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14661, 14672, 14687, 14706, 14729, 14756?\nAnswer: 14787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09 and 0.02815.\nAnswer: -0.06185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 + 8*w**2 - 13*w**2)*(4 - 1 - 1)*(0 + 4 - 5) in the form b + t*w + r*w**2 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/(-15) + -2)*(8 + 32). Put -1, -0.3, g in increasing order.\nAnswer: -1, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 92540516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/3)\/(((-69)\/37628)\/((-12)\/(-8)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43574667?\nAnswer: 3, 89, 293, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 300.1*-0.15\nAnswer: -45.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -3121*p**8\/336 - 3*p**4\/8 + 125*p**3\/6 - 40*p**2 - 9. What is the second derivative of o(g) wrt g?\nAnswer: -62420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40713 + 2081*h + 40713 + 4395*h + 2703*h to d + y*h and give y.\nAnswer: 9179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a74 (base 15) to base 11\nAnswer: -1855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23568903.\nAnswer: 3, 2618767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d + 1 - 1)*(0 + 3*d**2 + 0) + (334 - 334 + 7*d)*(0 - 6 - d + 2*d**2 + 2) to u*d + w*d**2 + i*d**3 + x and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 2*d**2 - d + 2. Let k(q) = q**3 - 6*q**2 + 4*q - 76. Determine 4*j(u) + k(u).\nAnswer: -3*u**3 + 2*u**2 - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2. Let j(q) = 196*q + 1. Determine i(j(m)).\nAnswer: -38416*m**2 - 392*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(66)*1)\/sqrt(6) + sqrt(11))*5.\nAnswer: 5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010891487 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (1 + -10)*(-28)\/(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) -0.05 (c) 237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 3 (c) 0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2 - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*g, -4*k + 0*g + g + 12 = 0. Let d(j) = -j - 2*j + k*j + 0*j**2 - 3*j**2. Let b(z) = -2*z**2 + z. Let s = 9 - 13. Calculate s*d(l) + 5*b(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from ipinipriipnnuniui?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14*6285.\nAnswer: 879.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*1*sqrt(19) + -4 + sqrt(171).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 3:15 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1241193 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147.9 - -156. Let l = g - 8.100047. Round l to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375539198 by -104114.\nAnswer: -3607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 22*v = 98. Suppose -v*s + 20*s - 559 = 0. Is s bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4\/3 + 606638224*q**3\/3 - 7666873237613552*q**2 - 92002486131021440*q\/3 - 92002488557574400\/3 = 0.\nAnswer: -2, 75829780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-10 + (-3 - -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 30 = -3*c - 6, 3*c - 24 = -3*v. Solve 0 = c*x - 3*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 32322 = -x, -5*z + 641*x - 638*x = -161602. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1029, -9783, -33931, -81171, -159201?\n\"Answer: -1283*s**3 + s**2 + 224*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o + 31. Let l be a(-5). Let r(c) = 6*c**2 + 2*c - 3. Let k be r(l). Solve -s - 4 = b, -s + 5*b - 5 = k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577504 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644075 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by 60\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 3*u + u. Suppose 4*v + 45 = 7*v. What is the remainder when u is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in -1\/4, 19, 0.2, 2.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2967819263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 5*v - 2, -1113 = -c + 53*v - 1223 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k - 29*k - 113*k - 28*k + 74*k.\nAnswer: -142*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 57*u + 58 - 118)*((0 + 1 + 1)*(-6 + 4 + 4) + 1 - 1 - 1 - 14 - 43 - 1) to the form i + v*u and give v.\nAnswer: 3135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.3, -0.8, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 0 + 7\/2*q**4 + 5\/2*q**2 + 9\/2*q**3 + q**5 + 1\/2*q = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - s - s - 1 + 1 + (-2 + s + 2)*(0 + 2 + 0) - 4*s - 4*s + 6*s - 4*s - s + 3*s - 4*s + 0*s + s + (-3*s + 2*s - s)*(2 + 3 - 6))*(5 - 3 - 5).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -16.7078.\nAnswer: 13.7078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*c - 20 = 0, 95*c - 755*c = -3*m - 322*c + 5417 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7.4, 10, -1.7 in increasing order.\nAnswer: -5, -1.7, 7.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -59, -130, -255, -452, -739, -1134?\n\"Answer: -3*c**3 - 14*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 154 and 8166 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.384929 - 619.\nAnswer: -620.384929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 3*c - 2*c)*(3*c - 3*c + c) + 168*c**2 + 127*c**2 + 260*c**2 + 113*c**2 as f*c + o + l*c**2 and give l.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(4\/(-136)). Let v = n + -31. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/42 - 41\/6. Let c(s) = -3*s**2 + 6*s - 6 + s**2 + 3*s**2. What is c(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 548 and 112.\nAnswer: 15344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/299 (b) 8.33 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -5 (c) 2\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -8*m**5 - 872*m**4 - 25858*m**3 - 115060*m**2 - 182208*m - 97344 = 0.\nAnswer: -52, -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o**(-3)\/o))\/o)*o**(-2\/3)*(o**(4\/3)\/o)\/o*o**(-1\/2))\/((o**6\/((o*o**6)\/o))\/(o\/(o*(o**1\/o)\/o))**(-1\/5)) assuming o is positive.\nAnswer: o**(-151\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289992 is divided by 651?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/5 - 7480*c + 34969000 = 0.\nAnswer: 9350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0 + 0*p**4 + 0*p**5 + 5*p**2 + 0*p - 29\/24*p**6 - 1\/6*p**3. Let t be r(-1). What is t rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67556.\nAnswer: 2, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4913, -4911, -4909, -4907?\n\"Answer: 2*f - 4915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48773472 by -24386736.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 3*r**3 + 2*r**2 - 4*r**2)*(6*r**2 + 3*r**2 - 4*r**2).\nAnswer: 10*r**5 - 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23752858 and 80893.\nAnswer: -23671965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 7313?\nAnswer: -7325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-80)\/(-168))\/(1*(-162)\/(-14)). Let y = f + 902\/1701. Put -176, y, 2\/5 in descending order.\nAnswer: y, 2\/5, -176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 14 + 8)*(-2*g + 3*g + g).\nAnswer: 118*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -357261414.05856 and -5.\nAnswer: -357261419.05856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4401\/163*(-186)\/(-81)*2\/4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - s**2 + 5*s**3 - 6*s**3 + 6 - 4 - 10*s**3 to the form r*s**3 + a + w*s + n*s**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2204519 times 3?\nAnswer: -3.6613557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -21*h. Let v(l) = -7*l. Let o(q) = 4*u(q) - 11*v(q). Let g(x) = 2*x. Calculate g(o(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2eb (base 16) to base 5\nAnswer: 10442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3403461 + -213?\nAnswer: -3404004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8768 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - (-54041)\/18. Suppose -19*r = 7*r - 77922. Let h = r - p. What is the common denominator of 125\/6 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2 + 106*t - 227. Let v be p(9). Sort 5, 3, v, -56, -5 in decreasing order.\nAnswer: 5, 3, v, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 25 = 8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.049 - -1.099. Let v = m + 0.15. Let i = v - 1. What is the closest to 0 in -0.3, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*x**3 - 47*x**3 - 47*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1012.\nAnswer: -1\/1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 572, 2274, 5110, 9080, 14184?\nAnswer: 20422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:48 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -3*a**4\/4 + a**3\/6 + 7250*a**2. Let k(h) = h**3 + h + 1. Let l(o) = o**3 - 1. Let b be l(0). Let u be k(b). Determine d(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954048.5 days in seconds?\nAnswer: 82429790400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1*43\/(-129).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Let h be o\/(-30) + (-6 - -5)\/(-3). Factor 0 + 1\/5*c**2 - 1\/5*c**4 + h*c - 1\/5*c**3.\nAnswer: -c*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/10 - 162*u\/5 - 13122\/5 = 0.\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3905 by 71.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1128 and 1692.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*v**2*w**2 - 13*a**2*v - a**2*w**2 + a*v*w**2 - 15*v**2*w**2 - v**2 + w**2 wrt v.\nAnswer: -2*a**2*w**2 - 30*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:15 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12) - 2\/8. Suppose g = -2*q + q + 16. Solve 3*n + 26 = 3*f - n, 0 = 3*f - 2*n - q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284175199 divided by -25834109?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t = -p - 118, 2*p - 9 = -1938*t + 1942*t - p + 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.8 + 0.2. Let y be 1 - -11*(-84)\/2156. Which is the smallest value? (a) -3 (b) y (c) -0.3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559*(-107)\/(57031\/(-41)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {q: 3, b: 6, d: 2, i: 2, e: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(396)*-6)\/((sqrt(128)\/(1*sqrt(8)))\/(sqrt(4) - (sqrt(180) - sqrt(20))\/sqrt(5))).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 3*a**2 + 2*a + 61. Determine b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 34846824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c**2 - 4. Let p(t) = 12*t**2 - t + 3. Let k(i) = -3*l(i) - 4*p(i). What is the second derivative of k(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -21*c + 40. Let o(h) = -h**2. Calculate o(v(l)).\nAnswer: -441*l**2 + 1680*l - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/23720 or -3?\nAnswer: 1\/23720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/25*(0 + 5). What is the third derivative of -8*r**2 - j*r**5 + 16 - 12 - 4 wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 238, 255, 304, 403, 570, 823, 1180?\n\"Answer: 3*d**3 - 2*d**2 + 2*d + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 393 * -0.3.\nAnswer: -117.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from gygpygypgygp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105.7 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 33650550, 3, -4\/9, 0.1 in increasing order.\nAnswer: -4\/9, 0.1, 3, 4, 33650550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1302 divided by -2704.\nAnswer: 651\/1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3862243775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48508 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.066 * -0.1.\nAnswer: -0.5066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 586*x**2 + 115*x + 127426.\nAnswer: 1172*x + 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2706 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - 4. Let q = 145557.9922 - 145572. Let l = n - q. Round l to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 75 - 33 = -4*j, -k = -5*j + 129. Let r be (-3)\/(2 - j\/10). Suppose 5*p = -r*u + 180, 0 = 3*p - 4*u + u - 84. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41634?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121623*m*s**3 + m*s - 1275*m - 3*s wrt s.\nAnswer: -729738*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 5*r**2 - 4*r. Suppose 0 = -4*w - 11 + 27. Let b be n(w). Suppose b*z + 6*z = 4002. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171966219 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/((o*o*o**(-4))\/o))\/o))\/((o*(o\/(o\/(o*((o*o**11)\/o)\/o*o*o)))\/o)\/o)*(o**11\/o)\/o*o\/o**(-1)*o assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.2 (b) 0.1 (c) 5 (d) 1825 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53\/35 - -12\/7. Let b = 24110 - 24108. Sort b, 0.4, -1\/2, v in descending order.\nAnswer: b, 0.4, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 + 1.7. What is t rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5019424?\nAnswer: 2, 227, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeqpedppqqdppqppqpda. Give prob of picking 3 d.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4886 is divided by 136.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2 - -7) + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -2, 6, -9.\nAnswer: -9, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 1283*u + 20 = 1282*u, 52*u - 90 = -5*i + 158 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43085.\nAnswer: 5, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x - 2. Let v be y(-3). Suppose -153 = -27*g + v*g. Solve 2*r = g - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73228 + -35?\nAnswer: 73193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9223029 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 441443 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u - 183. Determine v(17).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-324)\/(-63))\/(-12))\/(12\/16).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.257 + -0.157. Let n = -6.5 + 6.9. Which is the second biggest value? (a) n (b) -3\/2 (c) q (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s - 30. Let b = s - -5. Put b, 5, -3 in descending order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*f + 42136 = 39696 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96364 by 2.\nAnswer: 48182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87 or -14474?\nAnswer: -14474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90604 + 128282. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55.2986 - -17666.591\nAnswer: 17721.8896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1866 - 13073\/7. What is the common denominator of 46\/1123 and h?\nAnswer: 7861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**30)\/(f\/f**(2\/47)))**41 assuming f is positive.\nAnswer: f**(57892\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -14\/1105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*k + 850*k = -1241 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70654787 by 2.\nAnswer: -70654787\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4684 - 0.40866. What is p rounded to three dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.923 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/5, -12, 0.03, 0.151?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66444553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -328*u**2 - 112 wrt u.\nAnswer: -656*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -0.9, -2\/11, -4 in descending order.\nAnswer: -2\/11, -0.9, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*r - 136 = -50, n = -5*r + 6. Let w = 15 - n. Is (-5 + 4)*(w + -52) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*h + 14 = 0. Is (2 + 65)*7\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66548 = 5*l - i - 34725, 2*i = -3*l + 60782. List the prime factors of l.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1559*j**4 + j**3 + 5*j**2 + 225144*j - 1 wrt j.\nAnswer: -18708*j**2 + 6*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yryjrre. Give prob of picking 2 y, 1 r, and 1 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 2, m: 2, o: 3, d: 1, y: 2}. What is prob of picking 1 m and 1 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (174\/36 - 5)\/((-15)\/534))*9.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 32, 29, 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 8*s**2 + 8*s + 10. Let p be t(-7). Suppose -2*i = a, 0 = -3*i - a - p*a - 10. Suppose x = -i*x + 45. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12*d - 4. Suppose -15 = 4*n + n. What is the units digit of h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2359 is divided by 64?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 179944.0556 to the nearest 1000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.8141 or -3.304?\nAnswer: -0.8141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -829953 or -829952?\nAnswer: -829952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 5\/10 - 51\/(-18). Factor -1\/3 + 0*j + x*j**2.\nAnswer: (j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.5 + 0.5. Let p = 0.6 - -0.4. Let o = 3 - p. What is the closest to -0.1 in q, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 - 441?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7244 >= -7235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 700000\/((-4)\/(-2))*8. What is f rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-3) + 50\/5. Suppose -2*d + 3 + 3 = 0, s*d = 4*p - 3106. What are the prime factors of p?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -6. Let j(c) = -2*c**2 + 3*c. Let i(x) = -x**2 + 2*x. Let t(d) = r*j(d) - 3*i(d). Let p(m) = 3*m. Give t(p(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -386 - -467. Calculate the highest common divisor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221211 (base 6) in base 8?\nAnswer: -44007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.047487 - -39.046847. Let k = p + -39. Round k to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:43 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -642 - -651. Calculate the highest common factor of 477 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17657.18 and -9?\nAnswer: 17666.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*t - 12, 3*a + 2*t = -2*t + 18. Suppose a*z + 49 = 157. Solve 2*s + z = 4*h, s - 2*h = -3*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 593 - 592. Which is the biggest value? (a) 4 (b) x (c) 2 (d) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*s - 380*s + 86*s - 425*s as g*s + a and give g.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 2.1604, -8, 5, 0, 1\/12.\nAnswer: -8, -0.06, 0, 1\/12, 2.1604, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.353 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2041 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microsecond in nanoseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h. Suppose h = -3*r - 3*y + 75, 4*y = 5*r - y - 75. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 1, f: 4, l: 2, g: 1}. Give prob of sequence fgfk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 3\/6 + 3\/2. Let h = 82 - 80. What is the nearest to h in 1, i, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4765*b + 4752*b = 1365. Which is smaller: -103 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + u + 13, -12 = -3*b + 7*u - 5*u. Calculate the smallest common multiple of 106 and b.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96 times -34.716?\nAnswer: 33.32736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 + 24*u**2 + 2 + 8*u**2 + u - 6*u**2 to n + q*u**4 + g*u**2 + a*u + m*u**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(84\/(-126)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-70)\/(-788)) + 1. Let o = -57 + i. Factor 0*x + 4\/7*x**3 - 2\/7*x**4 - o*x**2 + 0.\nAnswer: -2*x**2*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/3368 and -39\/14?\nAnswer: 23576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/75 - 6848\/60. Let h = u + 250. Calculate the least common multiple of 170 and h.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8821, 8404, 7975, 7528, 7057, 6556, 6019?\nAnswer: 5440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 3*y**2 + 6*y - 9. Let i be u(4). Is i smaller than -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887502583.\nAnswer: 11, 80682053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 5*c - 7. Let t be 0 + -3 + 6 + 0. Let n = t - 13. What is the remainder when o(n) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-39)\/1026*8. Let d = -10\/19 - g. Are d and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -34. Solve -4 = 4*k - 4*q, 4*k - g*q = -k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + -2)\/24*(0 - -1). Put -132, l, 1 in decreasing order.\nAnswer: 1, l, -132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times 204?\nAnswer: -9996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b + 12762 + 15355 = 0. Let a = b + 1211. Calculate the greatest common factor of 38 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(351\/54)*3\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 3\/4471 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 - -16. Let f = a + -87. Let o be f\/(-30) + (-2)\/(-4). Which is greater: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936043.\nAnswer: 3, 11, 47, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*(-21)\/(-54)*-3?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -1. Let c = 9.7 - d. Let k = c + -0.9. What is the closest to 2 in k, -1\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 328 = 5*c - 106, -3*c = -4*p + 226. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/11)\/l**(-7)*((l\/(l*l*l\/l**8*l))\/l)\/l**(-5))\/(l**(1\/5)*l**(-9)*l)**(-1\/56) assuming l is positive.\nAnswer: l**(48571\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10588 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 412793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5428 + 5371. Sort 13, 2, s.\nAnswer: s, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52422*u + 444 = 52496*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-45))\/((-88)\/20 + 4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 135 = -63. Let l(s) = -21*s + 34*s - c*s. Let j(x) = -4*x. Give l(j(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*t - 14. Let z = t - 10. Calculate the greatest common divisor of z and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011110111010 (base 2) in base 16?\nAnswer: 27ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y**5 + 0*y + 0*y**3 - 8*y**2 + 0 - 1\/8*y**4 - 1\/40*y**6. Find the second derivative of q(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (0 + sqrt(45) - sqrt(5)).\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237559.24 - -237543.239987. Let b = -57.2 - -73.2. Let a = c + b. Round a to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 25*x - 21. Let n be b(1). Suppose t + g - 5 = 0, 5*t + 6*g = n*g + 22. Solve w = 2*l + 8 - t, 4*l = 3*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 676.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -12*u + 120. Let o be 7\/5 - 18\/u. Find the third derivative of -4*k**o + k**5 + 5*k**5 - 18*k**5 wrt k.\nAnswer: -720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-5)\/2)*(-32)\/12. Solve 2*m + 5 = -a, 10 - 35 = d*m + 5*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1696 is divided by 1685?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -7433 (c) -7 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002100 + -12?\nAnswer: -1002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 + 2*l - 1. Let f = 11 - 11. Let b be 6 - (-4)\/(-2 - f). Let q be ((-16)\/(-24))\/(b\/(-18)). Give v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122888 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - k - 5*k)*(-k + 1 - 1 + (3*k - 4*k + 2*k)*(-4 + 0 + 2) + 9*k - 12*k + 18*k)*(5*k + 2*k - 3*k) in the form u*k + i + x*k**3 + y*k**2 and give x.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188271410.\nAnswer: 2, 5, 71, 283, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 129 = 7*t. Let z = -15 + t. Solve z*h = -h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-14 + 28 + -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + h - 5*h - 6*h as k + q*h and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -3*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84.4 + 84.3. Which is the nearest to -1? (a) 2\/13 (b) 0.14 (c) 1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -c + 6*c - 2*n, n - 16 = 3*c. Let v = 8 + c. Suppose 3*p + 2*b + 0*b = 52, -66 = -v*p - b. What is the greatest common factor of p and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-1 + -14 + 18 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*d, 261*d - 263*d - 2 = 3*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -r - 2*n, 2*n - 38 = -4*r + 4*n. Calculate the greatest common divisor of 108 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-20)\/(n\/n**(-5\/9)))**(-26) assuming n is positive.\nAnswer: n**(5044\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30429 + 47213. Suppose 0 = -4*i - 4*a + x, -3*i + 12593 = a + a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30011, 29500, 28989, 28478, 27967, 27456?\nAnswer: 26945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 16 + 117)*((-4 + 1 + 4)*(z - 3*z + 0*z) + 5*z + z + 9*z).\nAnswer: 1612*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093433709 to six decimal places.\nAnswer: -0.000934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 98655.897 to the nearest ten.\nAnswer: 98660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddj when four letters picked without replacement from {j: 6, d: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -7*g - 5. Solve 5*f + 0*f = -g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 31800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 22*l + 62. Calculate t(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -71 - 13. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*t = 1056, -4*t - t = 5*i - 1330. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3506357228.\nAnswer: 2, 11, 41, 1943657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 2*h**3\/3 - 4. Let c(v) be the first derivative of -5*v**2\/2 + 4. Calculate f(c(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16.34584*0.108\nAnswer: -1.76535072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 10*w**2 + 19*w + 111. Give i(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 3:44 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1550097 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 114*a + 7. What is c(57)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.1 (c) 156 (d) 3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*p - 4*p - c + 4, 0 = 4*p - 2*p + 15*c - 73 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 20*i + 23. Suppose 3*u + 9 = 72. Let b be h(u). Suppose 0 = -0*o - b*o - 1080. Round o to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*w + 174*w = -61*w + 12059 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 10162 (b) -5\/3 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3143*i**2 - 12574*i**2 + 3145*i**2 + 3143*i**2 + 3144*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*h - c, -h - c = 4*c + 28. Let o = h - -3. Suppose -u - 5*w = -109, 368 = 4*u + 3*w - o*w. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p. Let m(u) = -2 - 3*u**2 + 4 + u + 8*u. Let f(i) = m(i) + 5*w(i). Factor f(t).\nAnswer: 2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:57 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 27. Let i be s(5). Suppose 2*l - i*k = -1915 + 7561, -5630 = -2*l - 2*k. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + 223*g\/2 - 2255\/4.\nAnswer: (g - 5)*(g + 451)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46329006959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35486.82 months to centuries.\nAnswer: 29.57235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12772673, -25545348, -38318023, -51090698?\n\"Answer: -12772675*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4 = -2*c, 86*c - 90*c = 3*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.11 - -35.11. Let h = 3.67 - 0.67. Which is the nearest to h? (a) 3\/2 (b) -4\/13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 0*i**2 + 1\/15*i**6 - 1\/10*i**4 - 2\/25*i**5 + 2\/15*i**3 + 0*i + 1. Determine w, given that p(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*r + 3*h + 25, -r + 9 = -2*h. Suppose 4*d - 108 = -2*n, -5*d + r*n = n - 109. Calculate the remainder when 72 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1055989960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 - (-8)\/44. Solve 4*a + x*a + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1341788.882 + -1341656.88199899. Let y = 132 - o. Round y to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314361 is divided by 290?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/20 - 5*q**4\/6 - q**3\/6 + 5*q**2 - 16*q + 2. Let v be g(10). Solve -2*r = 4*k, -2*r + 4*r + 8 = v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - l = 33, -3*l + 39 = w - 8*l. Let a be (-1)\/2 - 51\/(-2). Let s = a - w. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588 and 135954.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m - 66. What is the remainder when 547 is divided by n(-62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)*l\/l**2)\/(l\/(l*l**(2\/5)*l)*l)**(-17\/3) assuming l is positive.\nAnswer: l**(-373\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -3. Let v = 196 + -193. Sort -17, c, v, 4 in decreasing order.\nAnswer: 4, v, c, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 11\/5, 413\/8, 0.1 in descending order.\nAnswer: 413\/8, 3, 11\/5, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 3*z**2 - 3*z**2 - 4*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.626 + -0.628.\nAnswer: 9.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010010010100010 - -10?\nAnswer: -100000010010010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*u + 0*u + 4*u)*(5*u + 3*u**2 - 5*u) - 1 + 1 + 2*u**3 to the form q*u + n + p*u**2 + o*u**3 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 3. Let u = -33.261 + 0.061. Let r = 34.2 + u. Which is the third biggest value? (a) 4 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.161, 0.4.\nAnswer: -0.161, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.14136 and -2\/477 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Suppose m = -2*h - 1 - 3, -m = -h - q. Suppose -5*a = -3*p - 25, 2*a + 11 = -5*p - 10. Sort p, h, 3 in descending order.\nAnswer: 3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/24 - 5*x**3\/6 + x**2. Suppose 2*y = o - 1, 3 = -101*y + 102*y. List the prime factors of p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12094 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -22. Let l(z) = 2*z - 13. Let s be l(h). Solve -2*o - 30 = -5*b, 12 = -s*o - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - j - 1. Let a(b) = -152*b**2 + 2*b + 2. Give a(p) + 2*c(p).\nAnswer: -156*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/4)\/(15\/(-35)*70\/(-20))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/8)\/j)**(-6)*j*(j\/j**(-25))\/j*j*j\/j**(-33\/2) assuming j is positive.\nAnswer: j**(223\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -13310?\nAnswer: -13321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -6*v + 7. Let x(u) = u**3 + 2*u**2 - 35*u - 30. Let j(m) = -5*m**2 + 70*m + 60. Let t(i) = v*x(i) - 2*j(i). Suppose t(f) = 0. What is f?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.359 + -4.859. What is the second biggest value in 2, -29, b, -5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*-1 + 2 - sqrt(128)) + -5*(sqrt(2) + 0) + sqrt(4)\/sqrt(2) + -3)**2.\nAnswer: 40*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -9*k - 9 + 30 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1944\/35 = 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4455)\/(-990)*40\/(-144).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -239?\nAnswer: -95.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161864, 647548, 1457000, 2590202, 4047136, 5827784, 7932128, 10360150?\nAnswer: 13111832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/180*-15)\/(15\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen eighths of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 536023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = b - 11*b. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11516.\nAnswer: 2, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -543*b + 211.\nAnswer: -543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96294 by 6.\nAnswer: -16049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let z be -3 + (4 - 3\/(-3)). Let a(v) = -v. Let g(j) = z*a(j) - 3*i(j). Let l(b) = 4*b. Determine l(g(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 32 = -23. Suppose 3*f - 5 = 13. Suppose -f*j = -j - l. Solve -j = x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2800)*-3 + sqrt(2800) - -3*sqrt(700))\/((-2*sqrt(704))\/(sqrt(88)\/(sqrt(8)*-2))).\nAnswer: -5*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*q = -1, 5*k + 56 = -4*q + 9. Sort -3, k, 1\/2 in decreasing order.\nAnswer: 1\/2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -d + 6*z, -2*d - 21*z + 24*z + 18 = 0. Let w = 14 + 13. What is the smallest common multiple of w and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 10\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262795396.\nAnswer: 2, 79, 831631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087980039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1219?\nAnswer: 1219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) - 2\/2. Let k be 3 + (0\/1)\/(-1). Put k, -1, x in ascending order.\nAnswer: -1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 186 + 14 = 0. Suppose 8*z = -2*o + 4*z + g, 0 = -o - 4*z + 20. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from scqqsksqsq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 0*d**3 - 8*d**3 + 0*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 139712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 8:04 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12894 + -12893.9. Which is the fourth biggest value? (a) -0.64 (b) g (c) 1\/2 (d) 0 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*y**4 - 122*y**4 - 6 + y - 3*y**2 + 5*y**2 as v*y + n*y**2 + r*y**4 + x + l*y**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/(s\/s**(-1)))**(-1\/12) assuming s is positive.\nAnswer: s**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 778000*j**5 - 4599*j + 1 wrt j?\nAnswer: 15560000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35868441 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-20)*5\/140*14)\/(14\/(-1785)).\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 161 (b) 3 (c) -204\/47 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-25\/2)\/(m**(-10)\/m) assuming m is positive.\nAnswer: m**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 68, 108, 156, 212?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 85 = -27*b. Put b, -9, -18 in decreasing order.\nAnswer: b, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3145698387 to the nearest integer?\nAnswer: 56087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**7\/7 - 31*o**4\/4 - 101*o**3\/3 - 120. What is the third derivative of q(u) wrt u?\nAnswer: 120*u**3 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74112013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -69, -113, -157?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -42*p - 2. What is the hundreds digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -44 (b) -104.349 (c) 4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 1944\/(-32)) + 96\/(-128).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 + 89*z + 5*z**2 + 80 - 107*z. Let x(c) = -2*c**3 + c**2 + 3*c + 1. Calculate the smallest common multiple of d(11) and x(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, c: 8, p: 1, t: 2, j: 1}. What is prob of sequence wwjp?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 1.2. Let j = -1.28 - b. Let z = 0.6 - 2.6. Which is bigger: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:52 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.16 - -11. Let p = 2.74 - n. Let f = p + 1.1. Which is the third biggest value? (a) f (b) 0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 4, p: 1, x: 4, w: 2, q: 2}. Give prob of sequence xqdp.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 3*i**2 + 9*i - 1. Let x be o(-4). Suppose -3*l + 3*h + 231 = 0, 5*l - 4*h - x = 180. What is the greatest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007373 rounded to 7 decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-1)\/2). Suppose z*j = -10 - 17. Let f = j - -14. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189273?\nAnswer: 3, 7, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 19. Let f(y) = -y**3 + y**2 + 2*y + 3. Let h be f(q). Let j(m) = 3*m - 4. Let r be j(3). Solve 0 = u - 3*b + 10, -r*u = 4*b + h + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.34.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = 3. Suppose 4*l + 3*h - 18 = 2*h, 3*l - 5*h - 2 = 0. Suppose 5*x + l*n + 15 - 149 = 0, -99 = -c*x + 5*n. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6) - (-11)\/((-165)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/75336 and 64\/13359?\nAnswer: 4595496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m*m)**(-19)*m\/m**(-13)*m*m\/((m**(-1\/9)*m)\/m)*m)**7 assuming m is positive.\nAnswer: m**(1078\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23330 + 23349. Sort m, 2\/13, 1.01 in increasing order.\nAnswer: 2\/13, 1.01, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 + 108 = -5*o. Put -2, o, -5 in decreasing order.\nAnswer: o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -17. Let w = q + -10. Suppose w = -2*f + 55 - 15. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-28))\/((-6)\/21). Which is the third smallest value? (a) f (b) -0.2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 116\/87 + (-4)\/(-6). What is the lowest common multiple of 41 and 9\/j - (-63)\/42?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzz when three letters picked without replacement from {b: 2, k: 1, z: 2, y: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576562 is divided by 1343?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Suppose -3*n = -5 + 8. Let y = -8 - -12. Suppose -8*l + 4*l = y. Let w(z) = z**2 - 2*z. Calculate l*m(j) + n*w(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:59 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2. Determine g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93807 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, y: 4, w: 1, q: 1, h: 4, l: 4}. Give prob of sequence chyy.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*i - 5*o, 2*i - 1 = 3*o - 0. Let k(a) = -2*a - 3. Let m be k(i). Find the first derivative of -4 - m*s**2 - 3 + 3 wrt s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:22 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 5*z**2 - 6*z - 5. Let g be p(-4). Let f be (-132)\/201 + 0 - (-2)\/g. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102203434 (base 5) to base 15.\nAnswer: -86ee9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*p + 4. Let u be (-14)\/12*(-8)\/(-42). Let h = -2.1 + 2. Which is the nearest to h? (a) p (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675366554 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 101 = 75 - 150 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkzzzzkzkkzkkkkz. What is prob of sequence zzz?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 485 = 2*r. Let m(l) = -r + 97 + 2*l**2. Let p(i) = i. Determine m(p(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*c, 0 = -0*c + 5*c - 25. Solve -4*i + 0*x = x + 8, 3*i + x = -v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69a6 (base 15) in base 10?\nAnswer: -22431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 327*a. Let n(v) = 42*v**2 - 1. Give n(q(i)).\nAnswer: 4491018*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2200 = 2*r, 4*i - 23*r + 28*r - 8815 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 21. Let q be a(14). Let s be (9680\/2)\/(-4*q\/7000). What is s rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -315847 > -315847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 10. Suppose -6*d + 42 + 36 = 0. Let p be l(d). Suppose 5*m + 3*h = p, 2*h - 4 = -2*h. What is the closest to m in -2\/11, -2\/7, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - (-6208)\/170) + (-76)\/646. Factor 264\/5*r - 72\/5 - x*r**2.\nAnswer: -2*(11*r - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6150 = 7*p + 6115 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 + 3*a - 1. Let h be z(1). Suppose 4*v - 72 = -h*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1008 - -1009. Let i = -7 - -6.9. Which is the closest to i? (a) 1\/30 (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 85*y**2 + 2290*y + 7724. Calculate k(-23).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: f52 (base 16) to base 7\nAnswer: 14302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 146*i**3 - i + 1. Let j be c(1). Suppose -o = -2*h - j, -o + 6*o = h + 721. Calculate the highest common factor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/(-7*16\/(-15400)). Is b >= -334\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 12.5 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.5 (c) 72 (d) 2\/131 (e) -2\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = 31*v - 96 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 78\/11, 0, -1\/4, 3\/8, -0.36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3, 0.02, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 11:44 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*x + 1, 65*x + 5 = 66*x + 3*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 578210*u**3 - 29438*u**2 + 4*u wrt u.\nAnswer: 3469260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13000 and 5781750.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 12*b**2 - 12*b - 12. Suppose 0*c - 2*c + 26 = 0. Let h be a(c). Does 15 divide (h + 0)\/(1\/86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 7*z**2 + 7*z - 3. Let n be y(6). Let p = -1 + n. Solve -17 = 3*d - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 0.03 (c) -0.07 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 7*h + 4 = 0. Suppose n = 3*f + 88, -3*n - 40 = f + 2*n. Sort -5, f, h in ascending order.\nAnswer: f, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/64*4)\/(1485\/60). What is the closest to 0 in 0.3, i, 2\/9, 24?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 2. Let z be q(2). Let f be z*(-2 + 0\/(-1)). Suppose 2*k = f*k - 6. What is the smallest common multiple of k and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -111, -210, -331, -468, -615, -766?\n\"Answer: u**3 - 20*u**2 - 18*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h + 6. Suppose 2*o - 835 = -5*i - 3*o, o - h = 0. Let l = i + 383. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160 - 160. Let s(h) be the third derivative of h**4\/8 + h**3\/3 - 2*h**2. Let r be s(w). Solve r*l + 0*l = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73474328 or 0.2?\nAnswer: -73474328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + (-2 - -3). Let z(p) = p**2 - 7*p + 2. Let y be -4 + 5 + 1*5. Let q be z(y). Which is the biggest value? (a) k (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 13) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -18*i - 33. Let j(t) = 10*t + 17. Let s(h) = -11*j(h) - 6*r(h). Let u be s(-2). Calculate the greatest common factor of u and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 8. Let c = f - -5. Let a be 1 + -2 - c - -4. Solve 5*n = -7 - a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c*c\/c**(1\/11))\/((c*(c\/(c*c*c**(1\/2)*c))\/c*c)\/(c\/c**1)))**(-46) assuming c is positive.\nAnswer: c**(-1219\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 3*h**2. Let i be (25\/2)\/(-5)*-6. Let n be 2*(i\/2)\/(-5). Let k be u(n). Solve k*v + 5*v = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -219*y + 252*y - 297 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 275 - 160. Let c = -107 + n. Solve 10*j - 10 = c*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2584622*a + 86. Let j be q(-13). Round j to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b - 4. Let r be s(-4). Let v be (2\/(-9))\/(4\/r) + 1267. Suppose -3*n = 6*n - v. What are the prime factors of n?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3612 divided by -3\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -463, -1154, -2125, -3376, -4907, -6718?\nAnswer: -8809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -28*(-2)\/24. Which is the closest to -0.1? (a) 0.3 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10002*u**6 + 11*u**5 + 179354*u**2 wrt u?\nAnswer: -1200240*u**3 + 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565 = -16*c + 485 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100295000 rounded to the nearest 1000000?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/136 and 127\/26064936.\nAnswer: 443103912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 164?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6771355763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25526971\/320 - -79772. Find the common denominator of n and -101\/52.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**6\/72 - 3*a**5\/40 - 12*a**3 - 18. Let s(n) be the third derivative of m(n). Find the second derivative of s(p) wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:45 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 30 = 0. Suppose -3 = -3*l + h. Find the second derivative of 7*x - 7*x**3 + 12*x**3 - 10*x**l wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-3) - 2\/3. Let z = b + 8. Suppose -z*l = 25, o + 10 = 2*l - 7*l. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462*m + 21112 = -85*m. Calculate the remainder when 530 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6) - (-1 + 9 - 52416\/3456).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (70\/25 - 3)\/1. What is the closest to -2\/13 in 0, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - d + 1 + 2*d + 2*d + 3*d. Let q(u) = -20*u - 9. Let b(z) = -6*n(z) - q(z). Let h(v) = -v**2. Calculate h(b(p)).\nAnswer: -4*p**2 - 12*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 1, -716 in ascending order.\nAnswer: -716, 1, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14346533\/8 (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*18\/195)\/((-78474)\/(-1189))?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -17\/2*q**2 + 10 - 7*q. Let n(f) = -9*f - 4. Give -4*d(o) + 7*n(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/756)\/((196\/(-30))\/(-14)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 411323\/280 or 1470?\nAnswer: 1470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2812b9c (base 13) to base 15\nAnswer: -11a0bc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7*j - 5*u = 53, -2*u + 142 = 4*j. Suppose 11*h = j + 76. Solve -3*k - 2 = h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 - 2863646*r\/11 - 12235980.\nAnswer: 2*(r - 1431870)*(r + 47)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1138293 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 1 - 1 + (13*h + 14 - 14)*(-1 - 2 + 1))*(0 + 1 + 1)*(6*h - h - 3*h) to o + d*h + s*h**2 and give s.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -9. Suppose -16 = -0*h - z*h - 4*k, 2*k + 8 = h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + ((-1344)\/360)\/(6\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 126*j**2 - j - 5. Let l be w(3). Suppose -360 = -4*f + 3*n + l, n - 2 = 0. List the prime factors of f.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + o)*(-o + 3*o + 0*o)*(363 - 365 + 441).\nAnswer: -1756*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361564538 to the nearest integer?\nAnswer: 19015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p\/(p*p*p**(2\/9))))\/p)\/p)\/p*p*p**(2\/5))\/((p\/(p**(2\/7)\/p))\/p)**48 assuming p is positive.\nAnswer: p**(-10604\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5138 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 5*h + 14, -4*h + 9 + 5 = -5*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(98) + -1 + sqrt(98) + sqrt(98) + 3.\nAnswer: 5 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*z + 107*z + 3 = 5*y, 18*y - 21*y - 4*z = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 190 = -2*v, 4*v + 4*j - 315 - 89 = 0. Let z = 384 - 368. Find the third derivative of -l**2 + v - z*l**3 - 105 wrt l.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2493 is divided by 232?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70108688 and 6929?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {r: 4, i: 1, s: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + b + 136907*b**2 - 136907*b**2 + 4*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1062806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17*f - 207. Let s be l(0). Let p = -131 - s. What is the highest common divisor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 + 91*z**2 + 1087*z + 3888. Let g(x) = -8*x**3 + 137*x**2 + 1631*x + 5832. Let h(u) = -7*g(u) + 11*k(u). Factor h(w).\nAnswer: (w + 6)*(w + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 20 = 5*v, 0*v - k - 4 = -v. Suppose -13 - 51 = -v*b. Suppose -2*a = -2*t - t + 8, t - b = 4*a. Solve t = -3*r + 9 - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*74449296\nAnswer: -148898592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-1 + sqrt(209))\/sqrt(11) + 1 + sqrt(1900))**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 820*a + 66. Let z(v) = -83*v. Let m(j) = i(j) + 10*z(j). Give m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236221079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 + 5 = 3*l, 0 = -3*l - 4*m + 10. Solve -4*x + 1 - 4 - x**2 + 6*x + l*x**2 = 0 for x.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 - 1?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 + 0 = 4*z, -2*z = 5*m - 39. Let u be ((-8)\/14)\/((-2)\/m). Let l be (-21)\/14 + (-7)\/(-2). Is u less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 11*m + 5. Let z be v(4). Suppose -z*s - s = -40. Solve s*t + 2*u = -2, 4*u + 5 = -3*t - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 300 - 133. Let n = l - 1167\/7. Put 0.3, -1\/5, n in ascending order.\nAnswer: -1\/5, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-882)\/532)*(50\/12 - 3). Let u(i) be the first derivative of z*i**3 + 0*i**2 + 0*i - 16. Let k(s) = -s**2. What is u(k(w))?\nAnswer: 19*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6827723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**5\/4 + 28300*a**4 + 113145*a**3\/4 - 565955*a**2\/2 + 226390*a = 0. Calculate a.\nAnswer: -22639, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:47 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41\/7? (a) 3 (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 609 + -600. Let l(h) = 1102*h - 289. Is l(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -5, 3\/5, 76, 1\/6, 1\/4, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 26, 5, 2\/15, 4.67?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 10. Let d(f) = -3*f + 20. Let u(c) = c**3 - c**2 - 6*c + 5. Let i be u(3). Let x(m) = i*k(m) + 3*d(m). What is x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - -1) + 2*-1 is divided by -1*((-14)\/10 + (-4)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - 2*(3 - 15\/6). Calculate the greatest common divisor of 1388 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) -3 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oppooopooopooopo.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 a when three letters picked without replacement from {a: 2, h: 1, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:23 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = -0. Solve -g*s = -s - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513374 divided by 15?\nAnswer: 513374\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74 - (1*(-6)\/(-2) + -6). Let i = 72 - t. Sort -8, 5, -1, i.\nAnswer: -8, i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:06 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3155733 from -0.014.\nAnswer: -3155733.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g + 30. Let o be (-21)\/15 + 1 + (-429)\/65. What is the tens digit of t(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 9. Let k = -2 - 0. Sort 0.04, s, k in descending order.\nAnswer: 0.04, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-100)\/12 - (-2 + -5). What is the second biggest value in 0.1, 0.21, s, 4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/1620 + f**5\/270 - f**4\/108 - f**3\/3 + 8*f**2. Let z(k) be the first derivative of t(k). Factor z(i).\nAnswer: -2*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 9\/2, 68, -140.9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 34784691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h + 109. Calculate o(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 31 = 4*y, -21 = -2*y - 3*s - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyy. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12110221 + 3?\nAnswer: -12110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(2*x**3 + 5 - 5) + x**3 + x**3 - 3*x**3 - 2 + 2 + x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**4 - 36*y**2 - 1249 with respect to y.\nAnswer: 16*y**3 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 43, 65?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 35, 69, 121, 197, 303, 445, 629?\n\"Answer: m**3 + 15*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose n - c = -5. Put 3, n, -5 in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1505 - -1505.621. Let o = g + -0.121. Sort -1\/10, o, 3.\nAnswer: -1\/10, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (21 + -4 + -21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**2 - 10332*n - 20648 = 0.\nAnswer: -2581, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*b = -94*b + 639. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 127, 14, 3, -2 in ascending order.\nAnswer: -12, -2, 3, 14, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 15*m**2 - 2. Let a be h(-6). Suppose 2*s - 238 = 2*l, 4*s - a + 70 = 2*l. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3 + 15. Let y be ((-8)\/(-12))\/(c\/45). What is the second biggest value in -6, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(4*h + 2*h - 5*h) - 3*h + 5*h - 3*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/14197 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 2, m: 1, b: 1}. What is prob of sequence miih?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 bigger than 18151\/618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.866 + -18.134. Is x bigger than 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + (3 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2160823 + 1?\nAnswer: -2160822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 - 15*w + 26. What is t(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.6 + -8. What is the nearest to 2 in -1\/8, h, 12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19801 != 0.011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46631 is divided by 348.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339320 is divided by 716.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2*g - 916. What is the tens digit of g\/(-11) + 8\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -104, -185, -260, -329, -392?\n\"Answer: 3*v**2 - 90*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0 + 1\/12*p**4 - 3*p + 0*p**2 + 0*p**3. Let u(g) = -3*g**2. Calculate a(u(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 - 3*p**2 - p + 6. Give w(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12144692?\nAnswer: 2, 7, 41, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/50454*6\/4. Let c = -204623\/16818 + r. What is the common denominator of -25\/16 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 - 1.2. Let o = 1.2 - t. Let c be 1\/5 + 10\/(-300). What is the nearest to o in c, 2, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r**3 + 5*r**2 + 4*r + 5. Let d(g) = 7*g**3 + 2*g**2 + 2*g + 2. Calculate 5*d(w) - 2*v(w).\nAnswer: 7*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -0.013172\nAnswer: -0.19758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:45 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3170182 and 782?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (13 + 0 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Suppose 0 = z - b - 6. Suppose -4*o + 11 = 5*t + 3, -2*o = -t + 10. What is the smallest common multiple of z and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14256 divided by -9.\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 255402 - -421?\nAnswer: 300223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -8, -302 in increasing order.\nAnswer: -302, -8, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*k - 0*k. Suppose -5*r - 1 + k = 0. Suppose y - 14 = -r. Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 719037 and 7128?\nAnswer: 5752296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 496\/21 - 70\/3. What is the closest to z in -0.1, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.15, -3, -5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*o*o**(-4)*((o*o\/(((o*o**(2\/3))\/o)\/o))\/o)**(1\/17) assuming o is positive.\nAnswer: o**(208\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 18*k**2 - 83*k - 24. Calculate w(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -87?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {i: 3, a: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/7 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 6*t + 13. Let a be x(5). Factor -6*u**2 + 10 - 24*u**3 + 18*u**4 + a*u - 8 - 2*u**2 + 4*u**2.\nAnswer: 2*(u - 1)**2*(3*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/3 - 47*c**2\/3 - 286*c\/3 - 80 = 0.\nAnswer: -40, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/63 - (-124)\/(-90)) + 17 + 5377\/95\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = -3*g. Let t(q) = 5*q - 6. Let o be t(2). Suppose 0 = -5*j + 4*w + 40, -o*j = -2*j + w - 3. Solve -g*p + y = 20, 34 = -j*p + p + 5*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 14 = -2*h, 5*g - 14 - 13 + 12 - 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -11\/2*l**2 - 7*l - 3\/2*l**3 + 0 - 1\/12*l**4. Let r be w(-8). Which is the third smallest value? (a) r (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -3*n + 1, -2*k - 49 = -5*n. Let t = n - 7. Let l = -3593\/21 + 171. Which is the second smallest value? (a) 0.2 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + 0.77. Let t = -4 - s. Let r = -11 - -8. Sort t, -0.5, r.\nAnswer: t, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51445?\nAnswer: 5, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from tfrttttfttntt.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330783047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 + x**2 + x + 2. Determine l(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w + 3 - 13*w + 3*w - 4*w + 15*w. Let b(k) = 20*k - 5. What is -6*b(i) - 10*y(i)?\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 18. Let j be k(-12). Let n be (-3*3\/j)\/(18\/84). Let u(g) = -g + 3. Let b(o) = -4*o + 10. Give n*u(l) - 2*b(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 5*y + 18. Let l be (-1)\/((-2)\/(-26)*1). Is k(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31699\/12 + -2631. Calculate the common denominator of n and (-3 + (-483)\/(-198))*9.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.91 - -20. Let d = 0.087 - h. Let w = 6.197 - d. Round w to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t - 38. Determine x(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 201?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 19*n**2 - 8*n - 217. Give s(-19).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95)*2 + sqrt(95) + sqrt(95)))\/(sqrt(20)\/sqrt(4)*-6).\nAnswer: 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/30 and 43\/47670.\nAnswer: 47670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 5*w + 17. Let c be k(-5). Solve -5*m + 3 = -c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-2)*(-10)\/(-8). Suppose 5*q = -0*q + y. Let n be (q\/(-5))\/(8\/(-10)). What is the closest to n in -1, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1*((-54)\/(-12) - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 756504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1355\/2 + -679. Let p = 0.398 - 0.498. Which is the smallest value? (a) 3 (b) -0.19 (c) h (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -16?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 - 55 - 54 - 2*h + 154*h**3 + 58*h**3 to q*h**2 + b + p*h**3 + j*h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -b - 1, 3*b + 13 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708*w - 402594 = 892*w - 1448*w - 1683*w for w.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 4)*((-28)\/3 + -2). Let g = w - 20. Let t(x) = -x**3 - 2*x**2 - x + 4. Let c be t(-6). What is the highest common divisor of c and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-2)*140\/30. Suppose -3*v + 3*p = o, 6 = v + 2*p + 1. Let k = 36 + v. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -312 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 8 - 62 = 0. Let u = -35 + 37. Sort -8, y, u, -4 in increasing order.\nAnswer: -8, y, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466, 891, 1316?\nAnswer: 1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 148, 636, 1590, 3166, 5520, 8808, 13186?\nAnswer: 18810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -79. What is the nearest to b in 1\/6, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -15\/4, 2, 1\/5, -10, 5 in descending order.\nAnswer: 5, 2, 1\/5, -2\/13, -15\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2044050 and 50.\nAnswer: 2044050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 17*k = -12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z - 22. Let h(q) = -q + 4. Let d(o) = -11*h(o) - 2*t(o). Let r(k) = k**2 - 154. Give d(r(a)).\nAnswer: -a**2 + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102417, -102419, -102421?\nAnswer: -102423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (14 - 9) - (-2 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1324210 (base 5) to base 15\nAnswer: -7e20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 692.2*-7.75\nAnswer: -5364.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, w: 8, n: 2}. What is prob of picking 3 w?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177067 is divided by 233?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -282 greater than 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 - -128. What is the closest to 1 in 4, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -7*k**5\/270 + k**4\/54 + k**2. Factor y(u).\nAnswer: -2*u*(7*u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -244\/183843 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*r + 1119, r = 2*r - 4*o + 276. Let p = -169 - r. Let y = p + 10. What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44861, -89723, -134585, -179447?\n\"Answer: -44862*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 72070*n - 1658668.\nAnswer: 2*(n - 36058)*(n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-896)\/9408*27\/(-45)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -49. Which is the nearest to -1\/2? (a) 1\/5 (b) j (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 80*t - 1. Let f be c(1). Let i = f - 46. Calculate the highest common factor of i and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 1. Let m(t) = -4 + 1 - 2*t**4 + 0*t**2 + 2*t**2 + 44*t**4. Let p(v) = -m(v) - 3*w(v). What is the third derivative of p(i) wrt i?\nAnswer: -1008*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(833) + -1 + sqrt(833) + -2 - (sqrt(833) + ((sqrt(833) - (1 + 5 + sqrt(833) + sqrt(833) + sqrt(833))) + sqrt(833))**2 + -3).\nAnswer: -865 - 77*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 7. Suppose -2*h = 3*h + 3*y - 73, -r = -h + 4*y. Calculate the least common multiple of h and (-1 - -2) + (17 - (0 - -2)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.1. Let k be (((-28)\/490*10)\/6)\/((-1)\/(-3)). Which is the closest to 0.15? (a) k (b) -3\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45047412 and -0.05115?\nAnswer: 45047412.05115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*c + 52*c = -351. Calculate the remainder when 158 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 - 115. Put -1, 4, 1, m in decreasing order.\nAnswer: m, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*c + 4110016 = 0, -5*p + 8*p = -3*c - 4110012. Round p to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 3. Let b be d(5). Let t be -2 - (-3 - (0 + 0)). Let j = t - -2. Solve j*a = -b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 687233 and -0.034.\nAnswer: -23365.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3325224 (base 6) in base 12?\nAnswer: -80814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from jjvgggggttg.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(12)\/sqrt(4) + (sqrt(3) - (-1 + sqrt(300)))**2.\nAnswer: -17*sqrt(3) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*n**3 + 118800*n**2 - 7153920*n + 104509440.\nAnswer: 5*(n + 1008)*(5*n - 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k**2 + 4*k + 8. Let p be a(-4). Let d = 220 - p. What is the highest common divisor of d and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000363964 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/(-140)*10*(3 - -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-7) + 9207\/77. Calculate the greatest common divisor of 280 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -2.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(3) + 0)*-6 + sqrt(432) + -6*(sqrt(432) + -1))**2 + 2)*-1.\nAnswer: -13074 + 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*z - 11, -2*a - 7 = -z - 3*a. Suppose -z*u = n - 7, u + 1 = 4*n - 6. Solve -i = -2*i - n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 + 6. Let r be l(-7). Let q = 4 - 1. Solve -5*y + j + 18 = 0, q*y + 2*j - r = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: f7 (base 16) to base 10\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -639, -1282, -1917, -2544, -3163, -3774?\n\"Answer: 4*k**2 - 655*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -22. Suppose h*c = 168 + 427. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -358, -374, -404, -454, -530, -638?\n\"Answer: -w**3 - w**2 - 6*w - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*h - 26, 2*g - 21*h + 26*h + 31 = 0. Let o be (g\/9)\/((-4)\/2244). What is the highest common factor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1811.1 - -398.5. Round w to the nearest 10.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/(-3)*(-280)\/4200.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29795 + 341*b**3 - 29795.\nAnswer: 341*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8115, 17, 2 in decreasing order.\nAnswer: 17, 2, 1.8115","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does 5510 divide 495822860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:23 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(33\/9 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1008\/31 + 24501\/682. Suppose 0 = 5*f - 11 + 16. What is the common denominator of l and f\/4 - 182\/(-16)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83601 or -83600?\nAnswer: -83600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 - c**2 - c + 7. Is u(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minus -0.02?\nAnswer: 260.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 0.0577 (c) 0.4 (d) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 57*a**2 + 4*a - 183. What is the hundreds digit of w(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 + 502*o + 141. Give d(84).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/1282, -2, -2\/9?\nAnswer: -3\/1282","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68561 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l + 4. Let w(u) = -3*u - 2. Suppose 18*h = -17*h + 105. Calculate h*a(j) + 7*w(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 6:34 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(2\/15)\/x)\/x)**37)**(-2\/89)\/((x*x\/((((x*(x*x\/((x\/x**(-1))\/x))\/x)\/x)\/x)\/x*x))**(-4\/17)\/(x**(-2\/5))**(-4\/35)) assuming x is positive.\nAnswer: x**(1169402\/794325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 757 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 2\/7 (c) -13 (d) 0.2 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*b - 2 = 0, -2*n - 3*b = 2*n - 23. Suppose 120 = 6*c - n*c. What is c rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7 = -2. Let i = 0 + j. Let r be i - -2*5\/2. Solve r*m - 5*m = 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12093, -24184, -36273, -48360, -60445?\n\"Answer: l**2 - 12094*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290485750, 580971498, 871457246, 1161942994, 1452428742, 1742914490?\nAnswer: 2033400238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15795201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 17*q + 2. Let f be j(-1). Let z be 231\/f + (-10)\/(-25). Let k(w) = w**3 + 14*w**2 - 14*w + 18. Let i be k(z). Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 23\/5 (b) 3 (c) -4 (d) -1\/6 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/14)\/((-2)\/(-137)). Let z(u) = u**3 - 56*u**2 - 523*u - 109. Let s be z(-8). Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 33 = 3*m, 539*m - 17 = 3*d + 541*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 8. Let j be y(-5). Suppose 20 = 3*q - 4*r, -r = q + 3*q + 5. Suppose 9 = 5*v + 4*d, q*d + d - 1 = 0. Are j and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqe when three letters picked without replacement from ezqeeddeqdzdeedeqeee?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) -9.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985*p + 3*l - 33 = 1983*p, -3*p + 4*l - 44 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625229*d = -625143*d + 9976 for d.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 438499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 120?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-14) - 1968\/2296.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.29 + 0.21. Let g = 3 - a. Let z = g - -5. What is the third smallest value in 0, z, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 507*x - 255*x - 2*x**2 - 252*x - 24*x**2. Let m(w) = -9*w. Give v(m(d)).\nAnswer: -2106*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 2*a**2 + 2*a. Let z be t(2). Let s(l) = 11*l**3 + 3*l**2 + 5*l - 5. Let v be s(2). Is (z\/30)\/((-3)\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*-0.2\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 1, -6\/13, 2\/3 in descending order.\nAnswer: 1, 2\/3, -6\/13, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, -0.2, -6, 2, 5, -14\/9, -0.16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -144, 5, -1, 2 in ascending order.\nAnswer: -144, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -0.102566684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3 - 1188*a**2 + 38582*a - 105000 = 0.\nAnswer: -625, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.9. Let a = -0.106 - -0.046. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 1, f: 1, b: 3, l: 2}. Give prob of picking 3 b and 1 k.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352 - 350. Suppose -75 = -5*w + 4*q, w - h*w - 5*q + 44 = 0. Calculate the highest common divisor of w and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*m - 4 + 10*m - 9*m + 5.\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 801*b + 1611*b - 793*b.\nAnswer: b**3 + 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -233184929 and -2.\nAnswer: -233184931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 + 17*l + 31. Suppose 5*o - 16 = i, -4*i + 2*i = -6*o + 24. List the prime factors of f(i).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 11280?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/5322 and -19\/18.\nAnswer: 15966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*g + 53400 = 0, 9*q - 42726 = 5*q + 5*g. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - s + 0*s + (-3*s + 4*s + s)*(1 - 4 + 1) + s + s - s + (0 + 1 + 0)*(-s - 2*s + 0*s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1439790 and 23\/360.\nAnswer: 17277480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 + -466 + 469 - 0) + (63 - 0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*y - 3 - 3 = 0, w = -4*y + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*d + 2*s + 3*s, 0 = -2*d - s - 12. Let c(h) = 2*h + 16. Let p be c(d). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**3 - 3*p - 4. Let i be g(-1). Suppose -r - 2 - 4 = 0. Let l be 10\/(-4)*r*1. Calculate the highest common factor of i and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + 68. What are the prime factors of w?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 1:07 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:16 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 n when three letters picked without replacement from {n: 10, x: 5, g: 4}?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -308?\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**2 + s - 51. Let k(f) = f**2 - 10. Let i(u) = -11*k(u) + 2*n(u). What is the remainder when i(-6) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9655109921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331 + -331. What is the remainder when 137 is divided by (-27)\/(-36) + (o - 505\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20928?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 y when three letters picked without replacement from {m: 2, y: 8, r: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 0*c**3 - 1\/10*c**5 - 51*c + 0*c**2 + 0 + 14\/15*c**6 + 2\/3*c**4. What is the third derivative of v(u) wrt u?\nAnswer: 672*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (37\/10 + -4)\/((-6)\/15)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7707.413 litres in millilitres?\nAnswer: 7707413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/7 + 633*x**2 + 1898*x + 8856\/7 = 0. Calculate x.\nAnswer: -4428, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**2 + 103*x - 28. Let g be w(3). Solve 38*y + 12*y = -g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-22)\/(-33)))\/(21\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1650*w**2 - 4424*w**2 + 2*w**3 + 12 + 1730*w**2.\nAnswer: 2*w**3 - 4344*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 313898010 a multiple of 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {l: 4, v: 2, a: 1, q: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Let b(t) = -2 - 4*t**2 - 2*t - 2 + 0 - 12*t**y + 5. Is b(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 0, 0 = l + 18*o - 10*o - 7*o - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jpjjjjjj.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, q: 2}. Give prob of sequence ql.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8600 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -180 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-33)\/(-11))\/(2\/2). Suppose -k*y + 0*i + 5*i + 9241 = 0, -5*y + 3*i + 15423 = 0. Suppose -302 + y = 5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3, -115 + 14 = -2*t + 3*i. What is the first derivative of -5*f + t*f - 61 - 59 wrt f?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, d: 5}. Give prob of sequence ldd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 253221878 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p - 814*p**3 - 2*p - 18*p + 7*p + 2423*p**3.\nAnswer: 1609*p**3 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207*(-14)\/(5 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29652 + -15492. Let h be 1\/(28\/a) - (-4)\/14. Suppose -4*b - 2*x + 184 = -320, 4*b + x - h = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*b - 27 = 0, -15 = -5*g - 2*b - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 2, r: 4, m: 2}. Give prob of picking 3 r and 1 f.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115775221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/24 + 58*v**3\/3 - 3364*v**2 + v + 905. Suppose o(y) = 0. Calculate y.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120209424 a multiple of 419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, o: 6, h: 4}. What is prob of picking 4 h?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 2 a when four letters picked without replacement from {j: 2, d: 13, a: 3, r: 2}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-20)\/168)\/(2\/(-6)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - s - 145, g - 5*s = 5*g - 116. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67439 + -66541.13. Let x = -893 + f. Let u = 0.13 + x. What is the third smallest value in 3\/2, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 2*f = 7*z + 1386, -5*z + 3469 = 3*f. Solve -v - z = -691 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 558 - 373. Suppose 0 = 5*w - 530 - s. Let i(j) = -12*j + 1. Let a be i(-1). What is the highest common factor of w and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -28 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14793.654 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/5))**(-3\/8))**(2\/193)*(((b\/b**(-2\/7))\/b)\/(b*b\/b**(2\/3)))\/(b**(-1\/2)\/b*b**(-4)\/b) assuming b is positive.\nAnswer: b**(441907\/81060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d73 + -4?\nAnswer: -d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*h**3 + (4*h - 3*h + h + (0 - h + 0)*(-2 + 2 - 2) + 21*h - 8*h - 12*h - 5*h + 4*h + 0*h)*(-4*h**2 + 2*h**2 + 0*h**2).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-48142)\/(-2) + (4\/(-14) - 54\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.5 + -17. Suppose 0*w - 4*w + 4 = 0. Let v = w + 0. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191543 divided by -1\nAnswer: 191543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 - t - 1. Let v(m) = -3*m**3 + 11*m**2 - 4. Let a(n) = -4*l(n) + v(n). Let b be a(-5). Solve -4*d + 5*k + b = -1, -4*d - 3*k = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2012?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*t = 10, 2*s + 2*t - 9 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1130474\/27 - -41857. Which is bigger: l or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 4 + 0*r**2 + 0 - 3. Let n(u) be the second derivative of -u**5\/20 + u**4\/4 + u**2\/2 + 32*u - 112. Determine -f(v) + n(v).\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/244728 or 1?\nAnswer: -5\/244728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21552 + 13141. List the prime factors of y.\nAnswer: 34693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.237 + -0.443. Let f = -0.166 - l. Which is bigger: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 = -2*l. Let a(t) be the first derivative of -3\/2*t**2 + t + 1\/3*t**3 - 1. Calculate a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let h be 0\/((-3 - -1)*1). Let g(b) = b + b + h*b. What is g(d(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3136 - 2922. Calculate the remainder when i is divided by 107.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44213162555 and -0.141.\nAnswer: -44213162555.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (-1 + (1*sqrt(1300) - sqrt(1300)))) + 4 + sqrt(1300) + -2 + sqrt(1300))**2.\nAnswer: 180*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25852*335\nAnswer: 8660420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/230105 and 19?\nAnswer: 230105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14123 and 20941.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3 - 1)\/4)\/((-2)\/4). Factor -5*i**2 + 7*i + i**3 + 2*i**z - 4*i - 1.\nAnswer: (i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2 + 8\/3). Let o = 0 - 0. Let r = o - 0.1. Which is bigger: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 6*d - 13. Determine p(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459688.\nAnswer: 2, 37, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8071398 rounded to three decimal places?\nAnswer: 2.807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/98 and -43\/56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4981283 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 22*q = -32. Let t be (q\/10)\/(26\/65). Let d(j) = -t*j + 0 - 6 + 2 + 6. Give d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 1\/(-6)*(-278)\/(-5)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s - 2. Let a be g(-2). What is the smallest value in -2, a, -2\/3, 2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 9*g**2 - 9*g - 11. Let d be i(-8). Let b = d + -317\/3. Let r = -2\/4349 - -421873\/43490. Calculate the common denominator of b and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*u**4 - 31715*g*u**3 + g + 2*u**3 - 168*u**2 - 84*u - 1 wrt u?\nAnswer: 48*g*u - 190290*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1618 - 1594. Solve 34*k = i*k - 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 3*k + 4, 3*k = -10*a + 9*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmuummoiiloooolo. Give prob of picking 1 m, 1 i, and 2 o.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283*-16707.\nAnswer: 4728081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33 + -33 - 12\/14. What is the biggest value in -5, o, -3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/s**(3\/2))\/s)\/(s**21\/s))\/(s**13*s\/(s\/(s\/(s\/((s*s\/(s**28*s)*s*s)\/s))*s))))**(2\/107) assuming s is positive.\nAnswer: s**(-17\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17631 and 66055521.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 65?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by 59\nAnswer: 94\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1654, 6854, 15526, 27676, 43310, 62434, 85054, 111176?\nAnswer: 140806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -118, -92, -46, 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpebrfp. Give prob of sequence bfb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 394523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/9 and -121\/29340?\nAnswer: 29340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 11*w + 2*i - 28 = 0, 8*w - 5*i = -62 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*x = 116, -4*g + 78 = -3*g - 3*x. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2405667 or 2405658?\nAnswer: 2405667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/5, 1753, 452, 13\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 7880*m**3 + 3235812*m**2 - 635411680*m + 26008657984.\nAnswer: 4*(m - 76)**2*(m + 1061)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 52*o**3 + 3*o**2\/2 + 22*o + 22. Is j(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4d6 (base 16) to base 13\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b + 6. Let r be (2\/(-10))\/(8*26\/5200). Let g(k) = -9*k + 8. Let n(o) = 6*o - 5. Let d(t) = -5*g(t) - 7*n(t). Calculate r*x(u) - 6*d(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5858 + 44*h - 22*h - 24*h.\nAnswer: -2*h + 5858","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -829792 - -3.14\nAnswer: -829788.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 936784 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/21)\/((-1)\/(-7)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdavdqvgqdvqivq. Give prob of picking 1 a, 1 q, and 1 d.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -415*o**3 - o**2*q - 50*o*q + 6*q - 827 wrt o.\nAnswer: -1245*o**2 - 2*o*q - 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -3, -0.12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 55 + 155 = 6*x. Factor 15*g - 3\/4*g**4 + 21\/4*g**3 - 27\/2*g**2 - x.\nAnswer: -3*(g - 2)**3*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -13*b**3 + 22*b**2 - 116*b + 1. Let m(y) = 5*y**3 - 8*y**2 + 38*y. Determine 3*h(t) + 8*m(t).\nAnswer: t**3 + 2*t**2 - 44*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -474 + 482. What is the remainder when 8 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0)**(-27))**11\/((d\/(d\/d**(-1)))**(-27)*(d**(2\/5)\/d*d)**(-26)) assuming d is positive.\nAnswer: d**(-1568\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 3933 + 696 = 0. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 78 - 3*n**2 - 82 - 3*n**3 + n**3 + n**3 in the form b + d*n**2 + j*n + m*n**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1435, 5243, 11921, 18599, 25277?\nAnswer: 31955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:53 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -36. Suppose -5*a + 276 = -u, w*u = -4*a + u + 221. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 8*r + 30. Suppose z + 4*y = -29, -z + y = 2*z + 74. Let i = 73 + z. Calculate the remainder when i is divided by m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(891))**2 + -5 + (-5 + 2*sqrt(891) + 3)**2.\nAnswer: -216*sqrt(11) + 7143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let o = 565 + -487. Let j(m) = -o + m + 106 - 4*m + 0*m. What is j(w(u))?\nAnswer: -3*u**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1)*(129*j + 1553 - 1553) to the form w*j + p and give w.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7606 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*v + 30, -2*j + 176*v + 12 = 178*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -f + 14. Let m = -45 + f. Solve -r - m = 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/56*((-15)\/40*-4)\/((-72)\/128)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 11*t**2 - 2*t + 18*t**2 + (t + t + 0*t)*(-t + 0*t + 3*t) - 5*t**2 + 4*t**2 + 0*t**2 in the form l + z*t**2 + b*t and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:32 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31687150277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35572 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(24) - (-1*sqrt(325))**2.\nAnswer: -325 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 113 * -9\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/(-18) - 6\/27. Suppose -5*p + 5*h + 4 = -2*p, 0 = -2*p + 3*h + m. What is the highest common divisor of 15 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 0.22 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -286*g**2. Let f(u) = 88372*u. Give m(f(i)).\nAnswer: -2233548569824*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9759253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0.2 (c) 662\/11 (d) -9 (e) -3 (f) -1.1 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 929*v**2 + 2491*v - 72855. What is o(467)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 31068667.\nAnswer: 155343335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 87581*j - 262759. Calculate p(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 = 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002226 rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -19*c. Let k(q) = -6*q - 5. Let l(y) = -y - 1. Let i(g) = k(g) - 5*l(g). Determine f(i(z)).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1894.05 - 1894. What is the nearest to a in 16, 0, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + -13 - (-30 + -32)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 2*sqrt(1008) + sqrt(1008) + (-1*sqrt(1008)*-5)**2 + 5).\nAnswer: 72*sqrt(7) + 50418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 190026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 82*c**2 - 321*c - 468. Let h be y(-78). Calculate the greatest common factor of h and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9720b - 61?\nAnswer: -9726c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 0, -4*t - 5*h + 0*h = -192. Let w be 9\/t*(-2)\/(-3). Let n = 8 - 12. Which is the nearest to 1? (a) w (b) n (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azf when three letters picked without replacement from {g: 1, a: 2, z: 2, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2067621597 - -1459943963. Let f = 607677712.0000067 + a. Let v = f + -78. What is v rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625494190?\nAnswer: 2, 5, 62549419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40f2 (base 16) to base 2.\nAnswer: -100000011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 2*c**2 - 4*c + 2. Suppose -3*b = -o - 2 - 11, 3*o = -2*b + 16. Let j be l(o). Solve i + 4*s + 1 = -4, s = -2*i - j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - -0.1. Let b = 3.5 - t. Let w = 3 - 7. Sort w, -0.4, b in ascending order.\nAnswer: w, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - (-110)\/33. Suppose 11 + 112 = i*x. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -1 + 4. Let r be 3\/w*70\/21. Let i = r + -4. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2. Let n be ((-4)\/(-6))\/((-10)\/75)*2. Let z(f) = -7*f**2 - 5*f. Let s(c) = 3*c**2 + 2*c. Let v(u) = n*s(u) - 4*z(u). What is y(v(h))?\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 10:20 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 24*g**2 + 22*g - 55. Give t(-25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 2*v**2 - 6*v. Let a(b) = 2*b**3 + 3*b**2 - 5*b - 1. Give -2*a(k) + 3*d(k).\nAnswer: -k**3 - 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 9*i + 3*u = 0, 4*u = -4*i - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 2 - 14 + 7 + 0. Let o be 86\/(-18) - (-4)\/(-18). Give m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4859 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 48 + 6*p + p**2 - 20*p - 167.\nAnswer: p**2 - 18*p - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1299 and 0.2.\nAnswer: 1299.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 0.204.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7520\/3 or -2508?\nAnswer: -2508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5475388 is divided by 5475388.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-2497)\/(-1771) - (33 - 23)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65046.3 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + d + 34 = 0, 0 = -c - 2*d - 21 + 64. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5298 = 28*h + 622. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2677ac (base 14) to base 3\nAnswer: -2111102010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15273*-0.4.\nAnswer: 6109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - da45837?\nAnswer: -da45835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by -86?\nAnswer: 135\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:45 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*r + 3*r + 52 = 0, 5*i = 2*r + 48. Suppose 0 = 9*c - 15 - 408. Suppose c*d = 52*d - 25. Solve i = -3*w - 2*u, -d*w + 6*u = 4*u - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 10*y - 11. Let r be m(11). Let l = -559\/3465 + 9\/77. Which is bigger: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201345?\nAnswer: 5, 97, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = 13. Suppose 2*n - 6*n - 36 = -4*c, 2*n = i*c - 22. Is (c*4)\/((-4)\/(-4)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 21*y + 5. Determine q(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1007\/9 - -112. Let q = 34556 - 444793\/13. Let p = q + -341. What is the smallest value in -5, r, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**46\/(h\/(h\/(h**(-2\/23)*h))*h**16) assuming h is positive.\nAnswer: h**(1727\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 3*z**3 - 3*z - 4*z**3)*(-959 - 63*z + 959 + (-1 + 0 - 1)*(-6*z + 5*z - 2*z)).\nAnswer: 228*z**4 + 171*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away 19804?\nAnswer: -19804.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1083005 and -47\/485.\nAnswer: 1083005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*t**5*z + 20*n*t**5 - 3*n*t**2 - 2*n*t - 2*n + 4*t*z - 3*z wrt t.\nAnswer: 20*n*t**3*z + 400*n*t**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -1 - -7) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*w = -0 - 10, 0 = -4*n + 5*w - 6. Let f be n*(-3 - 10\/(-2)). Suppose -14 - 1 = -3*g, -5*g = 5*i - 25. Sort i, -1, f in ascending order.\nAnswer: -1, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.14 + 0.14. Let n = s - -37.9. Let m = -7 - n. What is m rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 13. Suppose -620*z + 105 = -585*z. Solve -25 = d*u + 5*b, z*u + 13 + 6 = -2*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-88)\/1287 - 4\/26. Sort -6, -4\/5, z, -1\/2 in decreasing order.\nAnswer: z, -1\/2, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 2, -5.\nAnswer: -5, -4, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 412 from -52672.\nAnswer: -53084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8*w - 9*w = -14092, -5*w + 24674 = -7*b. Is -3522 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-20)*(-1036)\/185.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6248 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 7. What is l(-20)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**5 - 5*l**5 + 2*l**5)*(-3 + 4 + 0) + 421*l**5 + 2 - 325*l**5 - 336*l**5.\nAnswer: -242*l**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -83, 2, 249, 718, 1469, 2562, 4057?\nAnswer: 6014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = 9824 - 1613. Let p(g) = 69*g + 1. Let o be p(-4). Let q = o + k. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 2. Suppose 0 = 4*s - d - 180, 3*d = -0*s - 2*s + 90. Let i be 18\/s*5*1. What is the units digit of l(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*w - 14*w + 60*w + 4*w - 2*w - w - w - 4*w + 7*w + (4 - 4 - 1)*(-3*w + 4*w + 0*w) to the form s*w + y and give s.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 0 + 0)*(3*f**3 + 2 - 2) + (5*f**2 - 4*f**2 - 3*f**2)*(2 + f**3 - 2) - f**2 - 2*f**5 + f**2.\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) 1280 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 501d + 2b?\nAnswer: 504a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10721, 10601, 10481, 10361?\nAnswer: 10241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203 - -131. Let a = d - -71.9924. Round a to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 3*v + 4*v)*(-207*v + v**2 + 554 - 556 - 151*v).\nAnswer: -2*v**3 + 716*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12693?\nAnswer: 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3 - sqrt(2))*-2 + sqrt(14)\/(sqrt(21)\/sqrt(3)).\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h + 0 + 7\/24*h**4 - 3*h**2 - 1\/60*h**5 - 5\/6*h**3. Determine l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 21*c = 15*c + 104 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -233?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -1\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -9\/8, -14, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8468, 2155, 5 in increasing order.\nAnswer: -8468, 4, 5, 2155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o**2 + 3*o - 9. Let m be f(3). What is the highest common divisor of m and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -120, -182, -244, -306?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187\/615 + 7\/41. Which is the closest to 2? (a) 3 (b) p (c) 1\/6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(4\/(-44)) + 0. Let q be (759\/6)\/(17\/34). Calculate the highest common divisor of z and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046039303 to 4 dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*k + 3. Suppose 4*j = k*u + 2*j - 1044, -u = 3*j - 247. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.035 + 21. Let x = 0.855 + g. What is x rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6365 and 6707?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 156 + 2226 = 0. Let h = -341 + r. What is the greatest common divisor of 13 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.2, 0.1, 1, -968?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.524, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:56 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183254727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-300)\/(-208))\/(-3) - 0. Let t = -3\/13 - m. Let f = -160 + 161. Which is the nearest to f? (a) -7 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3494 by 26.\nAnswer: 1747\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypeeyaezekza. Give prob of sequence eky.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*b + 3*r, r + 20 = 2*b - 0*r. Let t(u) = u**3 + 13*u**2 + 12*u - 3. Let i be t(-12). Calculate the least common multiple of 0\/i - 2\/(-1) and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 5, -17, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 446 - 17. Suppose -25*z = -5421 - l. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10652, 10619, 10548, 10427, 10244?\nAnswer: 9987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - (sqrt(13)*2 + -5)**2) + -2.\nAnswer: -82 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 29*f**2. Let b(w) = -175*w**2. Give 4*b(r) + 25*j(r).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from opopphojsopxhppoxoo.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 162182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 5*s + 6. Let i be 10\/(-4)*(-16)\/10. Let v be p(i). What is the highest common factor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 4 + -11 + 0 + 1 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1272 and -65\/12?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1454*y - 4135 = 17716 + 23223 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16666?\nAnswer: 2, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/231*(-198)\/12. Let a be 1 - (-1 + (-16)\/(-6)). What is the nearest to x in 0, 5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712071 is divided by 1846.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b - 70. What is the third derivative of -4*u**3 + b*u**2 - 233*u + 233*u wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33943.67um to meters.\nAnswer: 0.03394367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*g + 40, -3*p - 20 = -2*g - 0. Let x be (3\/2)\/(5\/g). Let d be 12\/27*x\/(-2). Are d and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x - 3*x)*(235 + 108 - 51).\nAnswer: -292*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Let i(v) = -v**2 - 19*v + 2. Calculate the least common multiple of i(-19) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39577 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhffhfhffhhf. Give prob of sequence hfhh.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9218418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -74.3. Let v(x) = -x**3 - 8*x**2 - 7*x - 9. Let y be v(-6). Let q = y - -353\/9. Put q, 5\/3, w in decreasing order.\nAnswer: 5\/3, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 48. Suppose 2*k = -5*f + 30, 2*k + 6 = -3*f + 7*f. Let p be x(k). What is the first derivative of -103 + 210 - 96 - p*l**4 wrt l?\nAnswer: -92*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8826*m + 52955. Determine c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2328)\/(-15) + 2\/(-10). Let x = k + -75. Suppose 0 = -2*z - 3*z + x. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 + -73. Suppose -c - 144 = -5*l - 55, 4*l = -2*c + q. Suppose 4*g - 179 = -5*w, 4*g = 2*g - 2*w + 92. Calculate the remainder when g is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-4\/13)\/g))**42\/((g**(3\/7)\/g)\/((g**18*g*g)\/g)) assuming g is positive.\nAnswer: g**(10601\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 6:33 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*y = -8109 + 7713, 503*m = -4*y - 64396 for m.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9939\/(-23191))\/((-1188)\/(-56)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 1*21*(0 - 28\/(-21))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/5 - 2\/(-5). Let b = -30261 + 30261. Factor -2\/7*t**r + b - 4\/7*t**2 + 0*t.\nAnswer: -2*t**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/1)\/((-3)\/9). Let m = 3 - x. Suppose m*p = -5*v - p - 5, 0 = 4*v - 5*p - 25. Is 1 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6815\/16038 - 1\/1458. What is the common denominator of f and -89\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 7. Suppose 4*r - 34 = -2*z, 2*z - 3*r + 22 = 3*z. Suppose -z*n = 10 + 109. Let j(s) = -3*s + 20. Give n*h(t) + 6*j(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 410. Suppose 164 = 2*n - 2*w - 2*w, -5*w - h = -n. Suppose 3*k + n = -23. What is k rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 901857*g**2 + 67761247737*g - 2644060564197.\nAnswer: 3*(g - 39)*(g + 150329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -579999*d - 1. Let p be f(-3). Suppose -3*i - i = 3*s + p, -5*i - 579995 = s. What is s rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/5, 0.04, -8\/761 in decreasing order.\nAnswer: 4, 1\/5, 0.04, -8\/761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*v = -5*u + 862, 2*u - 342 = 4*v. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-35)*2*140\/(-40).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -3961.\nAnswer: -23\/3961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*r = -84*r + 72. Solve -x - 2*i + i = -1, 1 = r*x + i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.548716 - -9.5487. Let y = 13 + o. Round y to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 111.2962 micrograms?\nAnswer: 0.0000001112962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3228920 + -5?\nAnswer: -3228925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 - c + 1. Determine g(-6).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73*0.074.\nAnswer: -5.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10966226 to the power of 1\/2, to the nearest integer?\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -20*d - 116. Let p be f(-6). Let y be 1*(-2 - (-3)\/3). Let l be (2\/(-4) + 2)\/((-3)\/4). Sort -4, l, p, y.\nAnswer: -4, l, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9*x - 28 = b, 5*x + b - 35 = 0. Suppose 0 = -8*o + x + 17. Let u(k) = -k + 9. Let a be u(o). Solve l + 2*l = -5*v - 2, 2*v - 4*l + a = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:24 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 12. Solve 0 = 5*x + v + 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3 + 11*r + 6*r - 2*r. Let n be v(2). Let f = -12107 + 12110. What is the highest common factor of f and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1486706 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -9, 6, -2, 2.71 in increasing order.\nAnswer: -9, -6, -2, 2.71, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-19 - (6 + -2))) + -5 + 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -726085123 from 1098.8.\nAnswer: 726086221.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193, 501, 881, 1333, 1857, 2453, 3121?\n\"Answer: 36*o**2 + 200*o - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 + 3 = 0. Solve -3*u = -g*p + u, 0 = 4*p + 3*u - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -211347448, -211347447, -211347446, -211347445, -211347444?\n\"Answer: f - 211347449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52022 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 873437175 and 585.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76145200 rounded to the nearest one million?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3277*r**2 + 19*r - 704. Let k(s) = 4916*s**2 - 30*s + 1057. Let q(p) = -8*a(p) - 5*k(p). What is the second derivative of q(z) wrt z?\nAnswer: 3272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 223285\/85 + (-22)\/(-187). Round j to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 2*a - 1. Let c(k) = 2*k**2 + 9*k - 6. Calculate c(o) - 4*n(o).\nAnswer: 6*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:27 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/12 - 2*q**2 + q - 3623. Let t(x) = -1892*x. What is u(t(a))?\nAnswer: 17898320*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*m - 65*m - 66*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 1876, 6386, 15174, 29668, 51296, 81486?\nAnswer: 121666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5, -2, -5, -1874 in ascending order.\nAnswer: -1874, -5, -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/2)\/((390\/(-280))\/(-13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540260 is divided by 28428?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 - 3775*o + 1886*o - 146 + 1891*o.\nAnswer: 2*o - 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0)*((-287)\/(-21) - 15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 249030419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 7*o**2 - 9*o. Let q be c(6). Let y be (-6)\/6 - q\/14. Determine i so that y + 2\/7*i**2 + 4\/7*i = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 1:10 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/6 - 44218*t - 2932847286 = 0.\nAnswer: -132654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1944 in 44, -2\/17, 1, -1\/5, 0.4?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10100122 - -1103?\nAnswer: -10033013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + y**3 + 8*y - 11*y**2 - 9 + 4*y**2 + 5*y. Is 9 a factor of v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:13 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.27 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98979 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 59*x**2. Let d(a) = 68*a + 65*a - 297*a - 62 + 163*a. What is d(y(v))?\nAnswer: -59*v**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**2. Let j(y) be the third derivative of 0*y**4 + 0 + 1\/20*y**5 - 5*y**2 + 0*y**3 + 0*y. Determine c(j(t)).\nAnswer: -54*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Suppose 0 = 3*s + 18 - 78. Suppose s = 2*g - 0*g. Calculate the lowest common multiple of h and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 2:28 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 1. Let r be j(3). Solve -3*c - 5*x = -c - r, -c - 3*x + 6 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-21262))\/(1\/4). Let i = q + 1456435\/63786. Find the common denominator of i and 4\/6 - (-142)\/(-96).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**4 - 153391*l**2 + 8*l**3 + 153393*l**2 + 2*l**4 in the form i*l**3 + w*l**4 + m*l + k*l**2 + a and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25752.7 (b) -3.5 (c) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/4 - -7)*(43\/3 - 7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 691229019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1 + 45. Let g = d - -54. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.18 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76801 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1573, -3295, -5017?\n\"Answer: -1722*t + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30*((-20)\/30)\/((-20)\/(-15)). Let c(u) = -32*u. Let t(n) = -225*n. What is o*c(y) + 2*t(y)?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -2) + -18*2. Suppose -o - 34 = -0. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -6. Let p be -4*(z + (-6)\/(-8)). Let x(y) = y + 7. Let w(q) = -1. Let g = -9 - -15. Give g*w(h) + p*x(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33868263, -67736525, -101604787, -135473049, -169341311?\nAnswer: -203209573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**5\/12 + m**2 + 5*m. Let a(g) be the first derivative of l(g). Let y(o) = -2*o. Give a(y(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juo. Give prob of sequence uo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11101110 (base 2) to base 7\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -148931*z. Let r(i) = -i. Determine m(r(p)).\nAnswer: 148931*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 267715 + -1870763\/7. Are 0 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34061557 + 0.1077.\nAnswer: -34061556.8923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164\/19*l**2 - 2\/19*l**3 + 0 + 0*l = 0. What is l?\nAnswer: -82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12098.8 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3211, -6419, -9625, -12829, -16031, -19231, -22429?\n\"Answer: z**2 - 3211*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*g*g\/(g**(-6)\/g*g)*g*g**(-2\/7)\/(g**2*g)*(g*(g\/g**(-3))\/g*g**(-1))\/((g*g*g\/g**4*g)\/g**(-4\/5)) assuming g is positive.\nAnswer: g**(347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 145, 224, 233, 172, 41, -160, -431?\n\"Answer: -35*j**2 + 184*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+0.19932257695\nAnswer: 0.17932257695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 - 108. Let g(a) = 86*a**2 + 112*a. Let n(m) = 43*m**2 + 57*m. Let s(y) = f*g(y) - 7*n(y). Find the second derivative of s(w) wrt w.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (5 - -2)*-1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*c = 21, -151*i + 3*c = -143*i - 2*c + 2*c + 20 - 61 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 28. Let b(w) = 3*w**2 + 2*w - 3. What are the prime factors of b(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)\/(h*h\/(h*((h\/(h\/(h\/h**(2\/57))))\/h)\/h)*h))\/(h\/h**16*h**(-28)) assuming h is positive.\nAnswer: h**(1708\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.20778 - 0.04078. Round m to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 5. Suppose -4*k + 5 = -5*p, 16 = 3*k + 4*p - 11. Let v = 3 - k. Let a = -106 + 97. Let r(h) = h + 1. Determine a*r(w) + v*l(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2747044\/8448 - 1\/(-3). Let n = v - 651\/2. Let m = -14101\/4928 + n. Calculate the common denominator of m and 36\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 562359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -3*c**7\/140 + c**6\/96 + c**5\/12 - 5*c**4\/96 - c**3\/12 + 2*c**2 - 26*c. Find b such that v(b) = 0.\nAnswer: -1, -2\/9, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83327571444533.77599926 + -83327572190133. Let f = s - -745679.224. Let v = f - 80. Round v to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + b = -41, -2*b + 205 = 5*f - 0*f. Suppose 0*v - 2*v + 3*i = -31, 0 = 4*v + i - f. Calculate the remainder when 21 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = h - 3*t, 0 = h - 4*t - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2057, 8066, 18037, 31988, 49937?\n\"Answer: 3*o**3 + 1963*o**2 + 99*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-180)*72\/(-6)*5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 439*z**2 - 8*z - 7. Let k be p(-17). What is k rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19988074 divided by -243757\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1954*w**2 + 12*w**3 + 49 - 51 + 1950*w**2 + 7*w in the form z*w + f*w**2 + o + l*w**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 272 (b) -3\/2 (c) -59.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6 - 0)*9. Is 16 a factor of (-194)\/n - (-6)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 772 by -230.\nAnswer: -386\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1440 + 73*p**2 - 2989 + 1549.\nAnswer: 73*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155 - -148. Let r be -227 - (n\/1 + 3). Let k = -131 - r. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.55677 days to milliseconds.\nAnswer: 220904928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 908 = 864 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275520653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.0121 (b) -216 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**3\/7 + 1200*a**2\/7 - 3676*a\/7 - 12120\/7 = 0.\nAnswer: -303, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 >= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. Let m = x + 1. Solve -4*t = 3*i + 23, m*t = 3*i + 6*t + 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2546\/(-21))\/(72\/105). Let w = j + 1\/180. Let g = w + 174. Calculate the common denominator of 67\/9 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 8*u = -29*u + 18*u - 1430 for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*n - 3881 + 3881 in the form o + w*n and give w.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, 3, -4, -34, 4 in increasing order.\nAnswer: -34, -5, -4, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*y + 12, y + 7 = -2*u - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 190205 = 17745. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, -14, 1, 38, -5, 4 in decreasing order.\nAnswer: 38, 4, 1, -1, -5, -14, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 375*k**3 - k**2 - 363*k**3 - 2 - 2*k**2 + 198*k + 0 + 117*k wrt k.\nAnswer: 72*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*217210\nAnswer: -1954890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j + 7. Suppose -1079*d = -1068*d - 55. Let t(s) = -6*s - 3. Give d*t(r) + 2*p(r).\nAnswer: -6*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + d**2 - d. Let y be a(1). Let m be (-478)\/1673*(5\/(-25))\/((-68)\/(-10)). Is m greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03688 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 4. Let m be (-40)\/16 - (-2)\/4. Let y be ((-1)\/m)\/(1\/8). Sort n, 2, y.\nAnswer: n, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/3 + 19*n**3 + 7196*n**2\/3 + 34765*n + 46818 = 0 for n.\nAnswer: -34, -17, -3\/2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57541240.3921 - 65.\nAnswer: 57541175.3921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70256 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 + 4 = 0. Let i = p + -6. Suppose -2*n + 7 + 3 = 3*r, 5*r + n = 26. Calculate the lowest common multiple of i and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-35)\/(-11) + 4\/(-22). Which is greater: l or 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433114*f + 4*u = -433116*f + 58, -5*f - 65 = -5*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmg when three letters picked without replacement from gglgmmgmmlgm?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7265 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -5)\/((-2)\/5). Let d(n) = n**3 + 5*n**2 - n - 3. Let g be d(q). Suppose g*c - 2*b = 8, 3*c - b - 4 - 2 = 0. Is c less than 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2. Let n(q) = 2*q**2 - 2*q**2 + q**2. Calculate d(n(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 16*w - 14 = -2*l, 5*w + 11 = 2*l. Calculate the remainder when 68 is divided by (6\/7)\/(l\/(-28)) - -32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01801*0.7.\nAnswer: -0.012607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o - 15. Suppose -2*v = -w - 13, o*v - 22 = -w + 5*w. Let p(i) = -i**2 + 7*i + 8. List the prime factors of p(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o, -x - 2*o = -1 + 2. Let f(t) = t**3 + 8*t**2 - 13*t + 10. Let c be f(-11). Let q = 1689\/8 + c. Is x less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5145\/8 - -642. Suppose 4*t = s + 5849, 0 = -s + 2*s - 3*t + 5850. Let x = s - -222325\/38. What is the common denominator of x and k?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 243 - 243.28. What is the nearest to -1 in -1\/2, 7\/3, l, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.461029 litres in millilitres?\nAnswer: 461.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r**3 + 2*r**2 + r. Calculate y(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53487910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 612563 (base 7) in base 16?\nAnswer: 1971b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g - 4*g)*(2 + 2 + 0 + 0 - 1 - 1 + (-3 + 2 + 3)*(-4 + 2 + 3) + 1 - 2 + 3 - 1 + 2 + 0 - 4 + 5 - 2)*(-1 + 2 + 3).\nAnswer: -72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145260 is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(s - 3*s + 5*s)*(-6*s - s - 10*s).\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4517 + -4?\nAnswer: 4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3 + 2708*u**2 - 72796*u + 70092 = 0 for u.\nAnswer: 1, 27, 649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 108003 <= 108004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 51*l - 1835. Let c be i(36). Let w = -3 - -2. Sort c, w, 0.\nAnswer: w, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 666*f*w*y - 60362*f*y**3 - 12*w*y**3 wrt w?\nAnswer: 666*f*y - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 14 = 3*c - c, -5*c = -4*o + 41. Let v = -35 + 35. Suppose v = -q - 0*q - n + 1, -o*n = 2*q. Solve 8 = 4*k - q*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14370?\nAnswer: 2, 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (3 + 2) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 12325?\nAnswer: -209525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(4 + 85\/(-20)))\/1. Solve -j = -3*d + t, d = -2*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**3 - 2*i + 1. Let y be l(1). Solve 5*q + 40 = y*g, -5*q + 0 - 10 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than -11.5183797?\nAnswer: -11.5483797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - -2) + -6 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*r - 3*r + 71, 4*r = 4*k - 136. Let s(i) = k*i + 39*i - 5 - 74*i. Calculate s(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1896.78847846.\nAnswer: -1892.78847846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 477827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/609 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1929*j - 3856*j + 1923*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305 - 552. Let j = -246.9999867 - d. What is j rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50356753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 3 (c) -1 (d) 0.3 (e) 1\/2 (f) 7597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178162697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 32*l + 3. Let b(a) = 319*a + 29. Determine -3*b(j) + 29*t(j).\nAnswer: -29*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**2 - 2*v - 3. Does 22 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 63 = 45 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*k + 4*k + 6, 0 = k + 3. Suppose 11 = 5*p - 4. Let t = -196 + 198. Solve 4*s + p*x - 10 = f, 3*s + 0*x - t = -5*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1342, -5264, -11800, -20950?\nAnswer: -32714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 5*(-1 + sqrt(3388) + 2)*-1)**2.\nAnswer: 3300*sqrt(7) + 254175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from zfjjfjpjjapfpfpjpp?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*m = 465, 3*m = -0*c - 5*c + 465. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0401312 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/31, -9.52, -0.5, -5 in decreasing order.\nAnswer: -3\/31, -0.5, -2, -5, -9.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1527413, -1527417, -1527423, -1527431, -1527441, -1527453?\nAnswer: -1527467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 - n + 1. Let y be v(1). Suppose 44 = -y*f + 3*p, 0 = 4*f - 9*f - 3*p - 56. Let o = f + 20. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -113130?\nAnswer: -113120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386535 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 76 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2586, 1316 in decreasing order.\nAnswer: 2586, 1316, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -94*((-3)\/6 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 + 34 = 2*b, -4*b - h = -55. Let a be (3 - 94\/(-3))*b. Suppose 5*p - 5780 - a = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140657 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11139 - -11151. Calculate the greatest common factor of 1068 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -49. Let r(q) = -8*q + 12. Let a be r(c). Suppose -9 = -s - 20. Put 4, -1, s, a in increasing order.\nAnswer: s, a, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-45)*0 - 1. Let w = -48 - -68. Suppose -w = -7*p + 2*p. Let a(f) = -f**2. Let v(k) = -5*k**2. Give j*v(q) + p*a(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + 54. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*o = -0 + 10, -4*o + 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/5 - 52207*b**2\/5 + 681000991*b\/5 + 2045352963 = 0. What is b?\nAnswer: -15, 26111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110100111100001000110 (base 2) in base 16?\nAnswer: -ba7846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/5351 + 21446\/112371. Let n(h) be the first derivative of -2\/7*h**2 + 1\/7*h**4 - 4\/7*h + 20 + o*h**3. Let n(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5652 + 525*h + 5652)*(-1 + 1 - 2*h) - 3*h - h**2 + 3*h to g*h + u*h**2 + x and give u.\nAnswer: -1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1315*s**4 + 4456*s**2 wrt s.\nAnswer: 31560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24575*g + 5491.\nAnswer: 24575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + u + 3, -5*u + 14 = q - 13. Let i = -2239 - -2242. Solve m + 5 = 2*t + q*m, -4*t = i*m - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 4. Let q(d) = -d**2 - 4*d + 1. Let p be q(-3). Let l be a(p). Let y(i) = i**3 - 6*i**2 - 10*i + 11. What is the units digit of y(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 16. Which is the second smallest value? (a) -5 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 515, 603, 487, 101?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let p = -862 - -864. Suppose 70 - 68 = p*s. What is c(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irvrriirrinvr. What is prob of picking 1 n, 1 v, and 2 r?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 5:14 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 700480 and 902?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 24 = -4*o, 2*q = -3*o + 3 + 8. Let y be (-3)\/(-12) - 1\/q. What is the derivative of 2*l**3 + 0 + 1 + y*l**3 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 4 = -4. Let m be (8 + g\/2)*7182\/152. Let y = m - 223. List the prime factors of y.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1518150 divided by -303630.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/18*(-10)\/(-70)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*q*r**3*t**2 + 4*q*r**3 + 4*q*r**2*t**2 - 88*q*r**2*t + q*r*t - 34*r**3*t**2 wrt r?\nAnswer: 24*q*t**2 + 24*q - 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by -6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*r - 386715 = 0, 6*s - r = 2*s + 386745. Suppose 343105 = -g + s. Let p = g + 116420. Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 603983?\nAnswer: 603983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 + 34*d + 302. Let r be w(-6). Let p(g) = -2*g + 5. Determine p(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 + 2*f - 3. Let n be a(2). Suppose 0*z = -n*z + 20. Find the second derivative of z*c - 3*c**5 + 5*c**3 - 5*c**3 wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/(((-95)\/60)\/19). Suppose 8*w + 20 = i*w + 4*o, -20 = -4*w - 4*o. Let n be (2 + -3)\/(-1 - w\/(-4)). Solve 5 = 3*t - n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:32 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 2*p**2 - 2*p + 2. Let g be z(2). Let k(v) = -41*v. Let m = 12 - -16. What is the remainder when k(g) is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -x - 4, x - 7*d + 5 = -3*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2356\/760 + 2\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 63306*v + 2. Let g(m) = -2*m**2. What is i(g(w))?\nAnswer: -4*w**4 - 126612*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 50*d + 1. What is the remainder when n(1) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 4:15 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v - 4. Let o(k) = 6*k**2 - 11*k + 215. Suppose 65 - 53 = -4*d. Let u(a) = d*g(a) - o(a). What is the first derivative of u(m) wrt m?\nAnswer: -18*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 991 + -635. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p*p**2))\/(p*p**(-10)*p))**(3\/28) assuming p is positive.\nAnswer: p**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + g + 1. Let t be s(-2). Is ((0 - -14) + t)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c + 4. Let w = -1 - c. Find the common denominator of 121\/12 and 42\/(-10)*w\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -135. What is the remainder when f is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2 - 206*r - 25. Suppose -4*w + 2*w + 20 = 0. Calculate the lowest common multiple of w and f(-29).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106312?\nAnswer: 2, 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1745*f**3 + 1745*f**3 + 17*f**4 - 4*f wrt f?\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -0.09. Let m = q - 0.15. Let r = 2.87 + m. Which is the third smallest value? (a) 1 (b) -3\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/45 and -62\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 - 1246*a**3 + 172552*a**2 - 670400*a = 0. Calculate a.\nAnswer: 0, 4, 200, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -419, -4, 5, 27, 25, 3, 1 in increasing order.\nAnswer: -419, -4, 1, 3, 5, 25, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (17 - -16) - (-10 + 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-10)*(-5 - ((-144)\/(-27) + -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 285\/220*(-8)\/(-3). Let o = -222\/77 + z. Let n = -17 - -12. What is the closest to 2\/7 in -0.2, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 1. Let m(y) = -y - 1. Determine -2*m(r) - u(r).\nAnswer: 3*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 4*p - 10, -g - 2 = 0. Suppose p*k + 2*k - 19 = -3*d, -4*k + 23 = d. Suppose -25 = 4*r - 65. Solve 3*m + r = -k*i, i - 3*m = -0*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55900 rounded to the nearest one thousand?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*v - 14, 3*b - 22 = 5*v - v. Let h(x) = -68*x**2 - 68*x**2 + 134*x**b. Let c(s) = 84*s**2. Calculate c(h(g)).\nAnswer: 336*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/1600*-10*5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 69124960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35670241 rounded to the nearest one hundred thousand?\nAnswer: 35700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:00 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/106 - -117\/1166. Let i = 0.1462 - 0.1462. What is the nearest to 0 in b, i, -38?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6873 divided by -237?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*j + 11. Suppose -4*g - 12 = -5*c + 14, 0 = j*c - 5*g - 26. Suppose -2*a - 5*o = -73, 0 = -2*a - 4*o + c*o + 76. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 2063, 4667, 8329, 13055, 18851, 25723?\nAnswer: 33677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193827 is divided by 426?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 - c**2 - 4*c + 5. Let y(g) = 11*g**3 - 2*g**2 - 7*g + 9. Suppose -3*x = 2*v + 8, 5*x + 17 = 2*v - 7. Determine x*y(z) + 7*d(z).\nAnswer: -2*z**3 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6561*h**2 - 4535*h**2 + 7882*h**2 + 6831*h**2 to y*h + n*h**2 + a and give n.\nAnswer: 16739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15.6 (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 16. Let u = 12 + y. Suppose w = -6*f + 3*f + 4, 3*w - 5*f = 68. Calculate the least common multiple of u and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u**2 - u)*(-4*u + 4*u - u) + 243 - 243 + 49*u**3 - 5*u + 350*u**3 - 11*u - 351*u**3 - u**2 - u**3 - 3*u**2 + 3*u**2.\nAnswer: 49*u**3 - u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, f: 12}. What is prob of sequence fe?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5914*j + 5908*j. Calculate the smallest common multiple of 53 and j.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68, -137, -206, -275, -344, -413?\n\"Answer: -69*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372 and 438716340.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/5)\/(232\/(-124120)). What is the greatest common divisor of 119 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 566243, 566232, 566213, 566186, 566151, 566108, 566057?\n\"Answer: -4*v**2 + v + 566246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11037 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 66512.29t in milligrams?\nAnswer: 66512290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = -2*y + 4, 0 = 5*g - y + 6. Which is the closest to 0.1? (a) -0.3 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:46 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:07 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -359.3 - -332. Let r = q + 27. What is the closest to 1 in -5, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g - 109. Let t be q(-29). Which is smaller: 95 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(11) + sqrt(1331)) + sqrt(19))*-4.\nAnswer: -13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 14*h - 87, 0 = -126*n + 125*n + 4*h - 21. Solve -18 = -3*d + n*i, -i - 10 = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 73. Let k = -31.969 + m. Round k to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 6*a**2 - 3*a - 4. What is w(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266871.\nAnswer: 3, 11, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g - 1. Suppose 18 = 3*h + 3. Let p(d) = 3 + h*d - 3. Let t(y) = -5*p(y) - 2*s(y). What is the first derivative of t(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**2*q - 1723*n*q**2 - n + 15*q**2 + 2*q - 11 wrt n.\nAnswer: -4*n*q - 1723*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42, 168, 376, 666?\n\"Answer: 41*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998335.\nAnswer: 5, 13, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z + 10*z + 4*z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142822272 is divided by 282?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 3. Suppose g - 2*a = -3, g + 18 = -3*g + 2*a. Let w(u) = u + 2. Give g*v(k) + 8*w(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 - 12*a**2 + 2*a - 24. Give q(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*p**2 + 3*p**3 + 434*p**2 - 215*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.55 + 0.15. Let s = 5.46 - 2.2. Let x = s - i. What is x rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 535, -20, -4, 11 in decreasing order.\nAnswer: 535, 11, 10, 5, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18918 - 18923. Let l = 0.4 + -0.5. Which is the closest to l? (a) -4 (b) n (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10849 divided by 7\nAnswer: 10849\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*sqrt(33)\/sqrt(3))**2 - -2*-1*sqrt(704).\nAnswer: -16*sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t**2 + 205*t + 205. Determine j(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 + b + 1. Let g be o(-1). Suppose -a - 4*i = -3*a - 2, -g*a + 7 = 2*i. What is the third smallest value in -3, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002196598 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 63539*q - 127076.\nAnswer: -(q - 127076)*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 1782 + 487. Let u be 4\/(-10) - j\/25. Let f be (-2)\/u + 16\/(-140). What is the nearest to 0.1 in -2, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n = 413 - 161 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1067 - 2815?\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 - 26332*u - 633120 = 0.\nAnswer: -24, 13190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5222 - -47000\/9. Let y = -1 + 0.7. What is the second biggest value in -2\/3, y, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2585, -1, 3\/2, 3 in ascending order.\nAnswer: -1, 0.2585, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q + 4. Let m(k) = -k + 9*k + 40 - 37. Let h(o) = 4*m(o) - 3*v(o). Let x(f) = -72*f. Give h(x(y)).\nAnswer: -144*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47198 divided by -2.\nAnswer: -23599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**3 + 2*s**3 - 5*s**3)*(-3 + 3 + 2 + (-5 + 1 + 0)*(4 - 7 + 1)) - 8*s**3 + 29 - 29 in the form c*s + q*s**3 + z + p*s**2 and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1869*l + 169113.\nAnswer: -1869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1136 + 2259\/2. Let r = 405\/4 - 787\/8. Calculate the common denominator of g and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2\/4 + 45 = 0. What is d?\nAnswer: -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20145, 20144, 20143, 20142, 20141, 20140?\n\"Answer: -s + 20146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, -2741?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, 4, 161 in descending order.\nAnswer: 161, 4, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 20, 5*a + 2*n - 728 = -223. What is the remainder when a is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126 or -456780\/3599?\nAnswer: -456780\/3599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - -1 - 5)*-30. Let r = 53 - a. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 951888973 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72\/31 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**2 + 3*f**3 - 8 + 8 wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 15, r: 5}. Give prob of picking 2 b and 2 r.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4, 2*o - 16 + 4 = 4*r. Let y(w) = 2*w + 6. Let p be y(r). Let q be (4 + -5 + -3)\/(-4). Put q, p, -3 in increasing order.\nAnswer: p, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-18 + -2)) + 36 + (-1 - (-4 - -18)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + -3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(-4) + ((-30)\/6)\/(-10). Let y(f) = 56 + r*f + f**2 - 103 + 51. Let t be y(-12). Solve -t*d - 13 = 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 55*i**3 + 2*i**2 + 3*i + 2. What is k(-1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.2. Let u = i + 3. Which is the closest to -2? (a) 0 (b) 1\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6447*d - 12713*d + 778 = -6348*d + 6436 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -10, -5, 5, -37 in descending order.\nAnswer: 5, 2, -4, -5, -10, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206799.\nAnswer: 3, 29, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -584\/2709 - 2\/301. What is the second smallest value in 1, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*m - 14, -2*m = 5*x - 6 - 12. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(850\/50) - (-180)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1282513142 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 != -7662775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from trgbsissgibi.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 5. Let i be c\/33 + (-8)\/6. What is the units digit of (-3)\/6 - 17\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -29?\nAnswer: 40\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/1904 and -149\/5740.\nAnswer: 390320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**6\/15 - i**4\/4 - i. Find the third derivative of q(b) wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 10 = 25*h. Let g be (5 + 0)\/1 - h. Solve 2 - 5 = -g*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -37\/6*r**3 + 1\/3*r**4 + 1\/20*r**5 + 0 + 35*r + 0*r**2. Find the second derivative of k(l) wrt l.\nAnswer: 6*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -30. Let f(h) = h + 1. Let g(t) = -4*t - 4. Let r = -40 + 74. Let a = -29 + r. Calculate a*f(o) + p*g(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202156.\nAnswer: 2, 50539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89390 - 89390 - 2*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22059 - 198529\/9. Which is the second biggest value? (a) 0.5 (b) -1\/3 (c) u (d) -18 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -836 (base 10) to base 11.\nAnswer: -6a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38606 divided by 38606\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 61 - 71 = 3*t, -y + 10 = -63*t + 66*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 23. Put -5, f, 0.4 in descending order.\nAnswer: f, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 550*g**2 + 145350 - 69336 - 70276 wrt g?\nAnswer: 1100*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 268 = -3*u - 263, 13 = -u - 4*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32673.8l in millilitres?\nAnswer: 32673800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*x - 112, 48*t + 1 = 238*x - 237*x - 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 411220 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (23 + -20 + (1 - 23))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.29 - -5.79. Which is the closest to -2? (a) m (b) -3\/8 (c) -1\/5 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 28. Let a be (-2)\/f + 69\/(-9). Let r = 15 + a. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2 (c) -5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75709 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -318 - -579. Let v be r\/15 + 18\/30. Suppose -2*s = v - 34. Let g(t) = t**3 - 7*t**2 - 6*t - 10. Give g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2 - 104968*t + 419840 = 0. Calculate t.\nAnswer: 4, 52480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 3)\/(-5) - -1. What is the common denominator of -91\/16 and h\/(-6) - (-91)\/24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 0*f - f + (2 - 2 + 3)*(13 - 2*f - 13) in the form v*f + m and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okhkshosszksokhkos. Give prob of picking 1 s and 2 k.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 divided by -187?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -879 + -3870. Let c = 14035 + u. Suppose -5*m + 2379 = -c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, 9\/2, 4, 1, -10, 1\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 337 + -335. Let i = 35.9 + -53.2. Let j = i + 17. What is the closest to -6 in j, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129379729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76679?\nAnswer: 76679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, q: 1}. Give prob of sequence dq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.56 + 0.5. Let s = u - 0.14. Which is the smallest value? (a) -2 (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-212)\/16)\/(4\/(-28 - 4)). Let f = 155 - a. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-12)*2*-1. Let n(d) = 14*d**2 - 9*d**2 - 4*d**o. Let h(w) = -7*w + 2. Let u(r) = -119*r + 35. Let t(a) = 35*h(a) - 2*u(a). Give t(n(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + u + 1. Let a(t) = -14*t**2 - 74*t - 12. Let w = -161 - -173. Let h(s) = w*f(s) + a(s). Find the second derivative of h(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 24*m + 1. Let n(v) = -48*v - 3. Calculate 5*k(l) + 2*n(l).\nAnswer: 24*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (0 - -2) + -4. Let j be (-2)\/(-6)*(862 + k). Let l = -197 + j. What is l rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20310321 + 2?\nAnswer: 20310323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50, 46, 46, 50?\n\"Answer: 2*d**2 - 10*d + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 7*w**5\/60 + w**4\/12 + w**3\/6 - w**2. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26903273, -53806542, -80709811, -107613080?\nAnswer: -134516349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4, 12*q - 8*q - 26 = 5*k. Suppose q*x + 4*s = -408, -2*s = 3*s - 25. Let t = -77 - x. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.6 - 20. Suppose 6 = -3*q + 4*c + 32, q + 4*c + 18 = 0. What is the second smallest value in s, 24, -1, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 6. Let w be c(6). Let o be -1 - (-13)\/((-13)\/3). Is 4 a factor of w\/o*(28\/(-3))\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 47. Let c = z - -4. Let x be 6\/c + (-10)\/65. Which is bigger: 6\/47 or x?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-2806.077\nAnswer: -196.42539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 - 230\/69 - 1. Let q(a) = 3*a**2 + 2*a + 2. Let o = -1 + 3. Let y(g) = -1 + 4 + g - 2 + o*g**2. Calculate x*y(h) + 3*q(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 304260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 564215140425 and -5?\nAnswer: 564215140430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 7:52 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.65 - -0.05. Let x = 1.3 + s. Which is bigger: x or -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -4*n**2 - 36*n + 26. Let x be q(-6). Let h(g) = -2*g + 18. What is h(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = -2*k - 85, 2*r - 2*k = -224. Which is greater: r or -117?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 14*s + 14. Let c be l(14). Let p = 26 - c. Let b(f) = 7*f**2 + 1. Calculate the lowest common multiple of p and b(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 485354, 485355, 485356?\n\"Answer: z + 485353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 32*n**6\/3 - n**5\/20 - 531*n**2\/2 - 1691*n. Differentiate h(x) wrt x.\nAnswer: 1280*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4391, -3003, -10399, -17797, -25197, -32599?\nAnswer: -40003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 285?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + ((sqrt(567) - 3*sqrt(567))*-5 - (sqrt(567) - (sqrt(567) + -3*sqrt(567) + -3)))**2 + -1.\nAnswer: -378*sqrt(7) + 27791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2422 and 226.\nAnswer: 273686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -1690500\nAnswer: 11833500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 6 - (13 - -66 - 31)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*s + 337, 2*s + 9*h - 7*h = 168. Solve s*n = 84*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2. Let j(v) be the second derivative of -v**5\/60 + v**2 + v. Let q(h) be the first derivative of j(h). Give q(l(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249 - 247. Factor 0*m**2 - 7*m**2 + 4*m**4 - 11*m**2 + b*m**2 + 8*m**3 - 32*m.\nAnswer: 4*m*(m - 2)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7649 a factor of 5829142271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43059582 divided by -6\nAnswer: -7176597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*t)*(7*t + 66 - 66)*(-5*t + 2*t + 4*t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-1\/18)*q)*q*q\/(q\/(q*q\/(q\/q**(-1\/12))*q*q)))**(15\/4) assuming q is positive.\nAnswer: q**(515\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1499 - 653. Suppose 0 = 8*f + 9 - 145. Calculate the remainder when l is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 take away -4996?\nAnswer: 4874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 434 - 233. Suppose -c + 5*c = -3*u + x, 2*u = c - 53. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.49 or -10396\/9?\nAnswer: -10396\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 37*v - 138. Let u be a(4). Suppose 2*k = 4*k. Suppose k = -14*c + u*c + 16. Solve 4 + c = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (15 + -32 + -8)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.9 and -36472665.\nAnswer: -36472663.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 932*x**2 + 10670. Let k(q) = 3*q. Calculate k(r(h)).\nAnswer: 2796*h**2 + 32010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (761 - r - 3*r - 51 - 313)*(1 - 3 + 0 - 2 + 3 - 3 + (-2 + 0 + 1)*(-1 + 3 + 0) - 5 - 2 + 3) as s + f*r and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -251 and 40634?\nAnswer: -10199134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 41.64. What is t rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiikkkkdkkiivim. What is prob of picking 1 i and 1 d?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from {s: 3, r: 3, v: 3, y: 4, n: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksd when three letters picked without replacement from {s: 5, k: 11, d: 1}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 6369*u + 32 + 30.\nAnswer: -6369*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 52*z**2 - 133*z - 26. Is 60 a factor of x(49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2 + 108*p - 37. Calculate the smallest common multiple of o(15) and 124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15624 and 169260?\nAnswer: 1015560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a minute in seconds?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 10, y: 2}. What is prob of picking 1 y and 1 w?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**2 - 22*z - 35*z - 6*z**2 in the form p + h*z**2 + a*z and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(0 + (-489)\/(-6)). Let a = o + -113. Suppose -3*i + 7 = 3*l - 23, -5*i + a = -5*l. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**3 + 4*s**2 - 4*s**2 + (3*s**2 - 2*s**2 + s**2)*(-s - 3*s - 3*s) in the form g + v*s**2 + z*s + n*s**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = t - 74, -5*t = -7*o + 2*o - 280. What is the greatest common divisor of t and 1003?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiqjslf. What is prob of picking 1 q, 1 j, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 34*o - 9 = 0. Suppose -h = -3*x + o, 2*x + 1 - 7 = 2*h. Suppose 0 = 2*q - 18 - x. Solve -4*p + q = -n - 4, p = -5*n - 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*z**2 - 2*d**3 + 55*d**2*z**5 - 3*d*z**2 - 32*d*z - 2*z wrt z.\nAnswer: 6*d**3 + 1100*d**2*z**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3401\/358)\/((-2)\/10*(-5)\/2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 199, 316, 455, 622, 823?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 5*u - 10, 10 = -x + 38*u - 43*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7038 - -112677\/16. What is the common denominator of -47\/22 and x?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 4*x - 3. What is l(6)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 + -16855.00351?\nAnswer: -16854.77351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -79*n + 18. Let d = -176 - -171. What is the units digit of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-4)\/(-8)*(-7 - -8). Suppose 25 = -5*f, 3*i = 6*f - j*f + 146. What is the least common multiple of 12 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 558370.988703 - -1.011297. Let h = -558377.000009 + z. Let o = 5 + h. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -197180*b - 101645 wrt b?\nAnswer: -197180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 2*b + 92. Suppose 0 = 5*p + 5, -3*p = 5*z - p - b. Suppose 0 = -z*k - 7 - 8, 0 = c + 5*k - 22. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*d**5 - 54*d**2 + 1275*d?\nAnswer: -240*d**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 162. Suppose -c - 64 = -x*u - 2*c, 4*u - 64 = 4*c. Calculate the greatest common divisor of 24 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010 + -11011000?\nAnswer: -1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4*j + 2*h - 18, -2*j = -3*h + 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2. Let c(r) be the third derivative of r**6\/360 + r**4\/8 + 2*r**2. Let g(m) be the second derivative of c(m). Calculate g(o(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*v*w + 3*d - 2*v*w + 591*v - 2*w + 131 wrt v?\nAnswer: -d*w - 2*w + 591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -1\/12*n**4 - 2*n**2 + 0*n**3 + 0*n + 0. Let b(x) = -7*x**2 + 2*x**2 + 3*x**2. What is b(m(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzqqzzqzzz?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(35*v**4 + 101*v**4 - 38*v**4)*(v + 1 - 1).\nAnswer: 196*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 40*v - 39. Determine r(-24).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/78 and 187\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 4. Let i = -3 + -2. Let s = t - i. Which is the nearest to s? (a) -0.2 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 10\/4. Suppose -h + 18 = -2*p - 2, -y*h + p = -40. Solve 6*z - h = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppdd when four letters picked without replacement from {p: 7, d: 4}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -340104?\nAnswer: 340102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 2. Suppose 5*b + 9 = -2*g, 47 = 4*g - 5*b + 2*b. What is the least common multiple of r and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15526137 and 5158.\nAnswer: -15520979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, r: 17}. Give prob of sequence brb.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 + 4*a**2 + 16*a. Let t(o) = -5*o**3 - 6*o**2 - 15*o + 1. Give -3*m(s) - 2*t(s).\nAnswer: -2*s**3 - 18*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -842a1 (base 11) in base 8?\nAnswer: -357665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -576?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 4 - -1) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17143 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 22*j**2 + 5*j + 18. Let n be r(22). Is 127 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604 - 780 - 1281 - 1278 - 2*l**2.\nAnswer: -2*l**2 - 4943","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f - 22*f**3 - f - 17*f**3 + 27*f**3 wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343.2 + 322.2. What is the second smallest value in -0.2, -4, -35, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:33 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 4*l**2 + 8. Give a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyq when three letters picked without replacement from kahqkyv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/5)\/((d\/(d*d*d\/d**10))\/d)*d**(-3\/7)\/d**(1\/2) assuming d is positive.\nAnswer: d**(-471\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 891 divide 1006613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*n - 126 = 0, 2*n + 2 = -2. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/19 + 44648*z**2\/19 - 44654*z\/19 - 4700 = 0.\nAnswer: -22325, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-4*3\/(-54)). Let v be ((-264)\/55 - -4)*-5*27. What is the greatest common divisor of v and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 11*x**2 - 10*x - 17. Let a be y(-11). Calculate the greatest common divisor of a and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1625)\/(-650)*(-468)\/10.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**7\/c)\/(c\/c**(-3)))**(-42)\/((c\/((((c*c*c\/c**(-1))\/c)\/c)\/c)*c)**(-31)\/((c\/(c*c\/(c\/(c\/(c\/(c*c**(-1\/10))))*c)))\/(c**(-4)\/c))) assuming c is positive.\nAnswer: c**(-899\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16529.71*0.071\nAnswer: 1173.60941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -803 (b) -2 (c) 2\/2663 (d) -3 (e) 2\/25 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 not equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 520*s - 31823. What is j(65)?\nAnswer: 1977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8351, -16713, -25085, -33467, -41859, -50261, -58673?\n\"Answer: -5*m**2 - 8347*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v - 1 + 1)*((-1 + 0 + 2)*(1 - 1 - v) + 0*v + 3*v - 5*v + 2*v + 3*v - 6*v + v + 4*v - 4*v - v + 2 - 2 + 2*v - 4 + 4 + (1 + 1 + 2)*(2*v - v - 3*v)).\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**2 - 4806*r**3 - 15*r**2 - 12*r**2 - 4550*r**3.\nAnswer: -9356*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + s + 4. Let m(a) = -16*a**2 + a. Let f(c) = 106*c**2 - 2*c + 13. Let u(w) = -f(w) - 6*m(w). What is 7*j(i) + 2*u(i)?\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 x, and 1 u when four letters picked without replacement from ggtxwggxu?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 5*a - 3*a)*(-63 - 719 - 318 + 12).\nAnswer: 1088*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 2\/935353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = -y - 0*y, 4*y = i + 23. Solve -m - 4 + y = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*c**2*m**5 + 498*c**2*m**4 - 21856*c**2 - 3*m**2 + m wrt m?\nAnswer: -6600*c**2*m**2 + 11952*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 6:45 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265651842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1\/(-2))*-6 + 322. Let w = 548 - i. What are the prime factors of w?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19948*0.06\nAnswer: -1196.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1067\/5 + -213. What is the nearest to -41 in 4\/3, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 144043302?\nAnswer: -144043310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 + 0 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000065268492 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/357579 and -38\/39731?\nAnswer: 357579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108334 and -3.\nAnswer: 325002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a + 27\/4 + 1\/4*a**2.\nAnswer: (a - 9)*(a - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 - 13*d + 12. Let w be i(10). Suppose -3*p = -p - w. Let j = p - 1339\/7. Which is the second smallest value? (a) -0.05 (b) 3\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - 1556?\nAnswer: -1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 559 - 557. Which is the closest to -5? (a) -5 (b) q (c) 2\/23 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 261 - 2?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6 + 1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/237387264 and -17\/59346816.\nAnswer: 237387264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1 - 2*k**2 + 0 - 1. Let h(f) = 54*f**2 - 10. Let p(a) = -81*a**2 + 16. Let u(y) = 8*h(y) + 5*p(y). Calculate b(u(w)).\nAnswer: -1458*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z. Is (-1 + z)*(-26)\/2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001487 rounded to 6 dps?\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -299*a + 295*a - 18, 5*l = -a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = w - 5*p, 2*p = -2*w + p + 39. Suppose w = -4*x + 72. Let v = -10 + 17. What is the remainder when x is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.041 and 0.6455.\nAnswer: 0.6045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2 + 0 - 5*q**2 + 11*q + 4. Let t(i) = 4*i**2 + 17*i - 29. Let l(x) = 9*x**2 + 36*x - 63. Let g(p) = -6*l(p) + 13*t(p). Give 3*a(u) - 7*g(u).\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/3635613 and -44\/23833463.\nAnswer: 214501167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*q - 60*q + 5*t - 37956, -q - 4*t = -6307. Calculate the greatest common factor of q and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 27. Suppose -3*b = -4*c - 11, -2*c - p = -4*b - 7*c. Let y be ((45\/6)\/b)\/(-3). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922 is divided by 353.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-403))\/(3\/(-78))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/11 - (-5)\/55. Put 4, -0.3, l, -2\/19 in ascending order.\nAnswer: l, -0.3, -2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/(r**(-1\/5)*r))\/(r**(-6\/11)*r\/(r*r**(1\/15))))**4 assuming r is positive.\nAnswer: r**(-124\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v, 0*i - 2*i - 9*v + 5*v - 9 - 7 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 3*t**3 - 5*t**3 - 5*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -124*m + 112*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let j(b) = 5*b**2 - 2*b + 1. Let t be j(1). Suppose -v = -5*v. Solve p = t*f - v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**2 - 3*c + 3. Let y(s) = 25*s**2 + 7*s - 7. What is -9*g(o) - 4*y(o)?\nAnswer: 17*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/4*(234\/130)\/(-9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 16*i**3 - 6*i. Let k(s) = 16*s**3 - 5*s. Give 6*k(d) - 5*o(d).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 3913531790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**2 - 3*w**2 - 2236 + 2235 - 88*w**3 wrt w.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*m = -1 - 3, 0 = 2*i + 3*m - 2. Suppose 12 + i = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -44. Suppose 4*r - 2 = n*u - 5, -3*u = -3*r. Solve 8\/5*s**r - 2\/5*s**5 + 0*s**4 - 6\/5*s - 4\/5 + 4\/5*s**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/21)\/(r*r**(-3\/5)))\/((r\/((r\/r**(1\/5))\/r))\/(r**(-3)*r))*(r**(1\/5)\/(r*r\/(r**(2\/17)\/r)))**(-1\/42) assuming r is positive.\nAnswer: r**(-6142\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -3*d**2\/2 + 6*d + 1284. Let p(g) = 7*g - 1. Let b be p(1). Give j(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 6*r**2 + 15*r + 11. Let d be g(8). Factor 3*u + 5*u**d + 4*u**2 + 6*u**2 - 9 - 5*u**2 - 4*u**3.\nAnswer: (u - 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i - 7. Let r be n(-2). Let y(j) = r*j - 8 + 8 + j. Let h(w) = -2*w**2. Calculate h(y(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15253, 29598, 43943, 58288?\n\"Answer: 14345*i + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1925 = 5*q - 3*n, 3*q + 2*n = 1142. Calculate the remainder when q is divided by (-35)\/20*(-9 + (-30)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1722851616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32782298, 32782299, 32782300, 32782301?\nAnswer: 32782302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.6 and -710.\nAnswer: -700.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*g - 56, -g + 4*a - 3 = -31. Suppose q + 33 = g*q. Solve -f + 0*f = q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbd when four letters picked without replacement from {f: 5, d: 5, e: 1, b: 6}.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (22 + 12 + -25).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 215 + 2*(-1)\/2. Let a(o) = 6*o. Let i be a(2). What is the units digit of l\/i - 3\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/4, -3, -0.153, 138 in descending order.\nAnswer: 138, 3\/4, -0.153, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 6*(sqrt(252) - 2*sqrt(252) - sqrt(252)).\nAnswer: -66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 48 = -3*s, 4*s - 3*s = -1. Suppose 3*w + 24 = q. Let d(u) = u**2 - 9*u + 2. Determine d(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332449 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/176307 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from ttrktbrrtuttnbn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -295*z. Let b(m) = 4*m**2 - 11*m. Give q(b(n)).\nAnswer: -1180*n**2 + 3245*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*y**2 + 9*y - 3*y - 6*y.\nAnswer: 316*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8382032279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g - 3591 = 441. Solve g*v - 3 = 81*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*1*-1 - ((sqrt(190) - -2*sqrt(190)*1) + sqrt(190)))\/(-2*sqrt(1440)*1*3).\nAnswer: 5*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10313 - -233?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {g: 1, u: 1, f: 1, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33b8 (base 14) to base 5.\nAnswer: 241412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.04 - -1.02. Let n = k + -0.18. Let v = 1.20045 + n. Round v to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17 + -12)*(-2 + (2 - -1)). Suppose -s*k + 81 = 11. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 28*u**2 - 356*u - 104 = 0.\nAnswer: -2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*r - 2468 - 2504 = 887 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:32 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12085 divided by 2417?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a**3 - 94*a**2 + 9*a + 35. What is c(-11)?\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37866538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/6 - i + 1. Let x(d) = -20 + 10 + 30*d**2 + 10. Determine x(k(s)).\nAnswer: 120*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142716584 and 22.\nAnswer: 1569882424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckgkkksks. What is prob of picking 1 c, 1 s, and 1 k?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 21. Let y(w) = -w**2 + 5*w - 4. Let o be y(u). Let x(p) = -p**2 - 23*p - 14. Does 13 divide x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/12*(-6)\/(-40). Suppose 3*p = -161 + 146. Which is the third biggest value? (a) p (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*x + 2*x - 4, 0 = 3*x - 3. Let b be (3*(-8)\/(-36))\/((-2)\/(-15)). Solve u + b = -w*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 + 2 = 0. Calculate the common denominator of 59\/8 and (-48)\/(-33)*(-7)\/i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2700*r**3 + 6733620*r**2 + 448917*r + 7482 = 0.\nAnswer: -1\/30, 2494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 241 = 4*a, 3*a + 3*r = 45 + 156. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 15 = 7. Let d = 1061 - 1058. What is the second smallest value in -3\/2, d, -3, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 - 2*c - 15. What are the prime factors of w(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*a - 6*z + 94, 4 = -2*z. Which is greater: a or 49?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 + -2177436?\nAnswer: -2177508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (21\/4)\/(-1). Does c = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -29. Suppose -3*w = -n - 1, -4*w - 1436 = -5*f. What is the highest common factor of 64 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43.3 (b) -59 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + -2*sqrt(98)*1 + -1 + sqrt(98) + 1 + 0)*-4)**2.\nAnswer: 896*sqrt(2) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -124*h + 836. Determine o(10).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16969 + (2 - -4) + -13. Suppose i = 5*x + 17*x. Does 70 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -2\/15 (c) 8\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 6. Suppose -4*m = -0*m. Determine k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 602*p**5 - 24*p**4 + 8*p + 61. Let h(w) = 603*w**5 - 20*w**4 + 6*w + 60. Let n(u) = -6*h(u) + 5*y(u). Find the second derivative of n(k) wrt k.\nAnswer: -12160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 554366 (base 9) to base 7\nAnswer: 2546541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3\/2 - 35*t**2\/2 - 35*t\/2 + 75\/2 = 0.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/15 - 70\/3. Let k = w + 58. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, t: 1, p: 1, y: 4, v: 5}. What is prob of picking 2 v and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 102*x\/5 + 376\/5.\nAnswer: 2*(x + 4)*(x + 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -2*t**6\/45 + 5*t**3\/6 + t. Let c(w) be the second derivative of f(w). Let i(u) = -2*u**2. Give i(c(o)).\nAnswer: -512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 1, v: 1, m: 1}. Give prob of sequence mvg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*o + 370 - 98 - 95 - 73 - 104 + 791*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-952)\/(-280) - (22\/99 - 58\/180)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -176? (a) -4 (b) 2 (c) -0.1 (d) 1\/60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1459 divided by -1.\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2 + sqrt(75) - (sqrt(108) + -1 - sqrt(108))) + sqrt(75)*2 + sqrt(3) + sqrt(3) + sqrt(147)*1)**2.\nAnswer: -6916 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 349795.406 rounded to the nearest one thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 7*b + 692. Suppose -3*y + b = 1814. Let n = y + 766. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 5*p**2 + 1653*p - 11642. What is a(7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (-1 + sqrt(27) + sqrt(27)) - sqrt(3) - 2*(sqrt(3) - (sqrt(3) + -1)))*-2)**2.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-2))\/((-21)\/28). Let t be (-60)\/8*20\/i. Suppose 0 = -4*a - 1 + t. What is the highest common divisor of 48 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aozloain. What is prob of picking 1 l, 1 a, 1 z, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8*x**2 + 22 + 13 - 44 to the form f*x**2 + j*x + t and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -33.7. Let y = 7.8 + d. Round y to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/33738 and 149\/269904.\nAnswer: 269904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 3*d + 46, 6*f + 634 = -2*d + 638 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13383 - 13383 - 101*o)*((-6 + 1 + 4)*(-4*o + 3*o + 0*o) + (2 - 2 - 2*o)*(-4 + 4 - 1) + 0 + 0 + 2*o) to the form r*o + t + g*o**2 and give g.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/19, 250, 1\/3, -3?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 2*q**2 + 2*q. Let j(v) = -v**3 + 5*v**2 + 6*v + 2. Let a be j(6). Calculate x(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*l**2 + 24*l**2 - 50*l**2 + (l + 0*l - 2*l)*(-l + 2*l + 0*l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61291 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -51.6 (c) -5 (d) -1 (e) 0.0767 (f) 1 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**3\/6 - d**2 - d. Let r = -806 + 811. Suppose v + u - 29 + 21 = 0, -r*v - 4*u = -36. What is z(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 + 0*n**3 + 0*n**3)*(-16 + 1036 + 433) to c*n**2 + b*n**3 + p*n + q and give b.\nAnswer: -2906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**7\/630 + o**6\/720 + o**5\/60 - o**4\/2 - 78*o. Let y(l) be the third derivative of m(l). Calculate y(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y + 12*y - 4*y as t + r*y and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-35)*((-224)\/(-21))\/(2\/(-15)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -8 + -20 + 3 + 38 + (40 - 84).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of (13*-1 - (42 - 54))\/(1\/(-22864))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/897 and -47\/2756.\nAnswer: 190164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38441210, 38441191, 38441170, 38441147, 38441122, 38441095?\nAnswer: 38441066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adfrfkid. Give prob of picking 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*c**4 + 209*c**3 - 51156*c**2 wrt c?\nAnswer: 3408*c + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from {s: 1, b: 2, f: 5, w: 1, z: 5, r: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 101013?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5707 + 2*d - 2846 - 2846. Calculate x(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12813726.54 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -45. Let h be 121\/l - 1\/(-2). Solve 4 = 2*x - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18924 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 + -175. Let g(f) = 23*f**u + 2*f**2 - 24*f**2. Let l(a) = 10*a**2 + 2*a. Give g(l(y)).\nAnswer: 100*y**4 + 40*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.28256 to two dps.\nAnswer: -7.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.599874ml in litres?\nAnswer: 0.003599874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**2 - 3*z**4 + z - 16*z**2 - 1 + 0*z**4 + 10*z**2 to q*z**3 + x*z**2 + l*z**4 + a*z + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*56\/(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 440 + -438. Let o(d) = -5 - 5*d + 4*d**3 + 3*d**k + 4*d**3 - d**3. Let l(h) = h**3 - h - 1. Give -5*l(y) + o(y).\nAnswer: 2*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 - 71*a**2\/3 - 536*a\/3 - 260.\nAnswer: (a - 78)*(a + 2)*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21.97 or 0.0518?\nAnswer: 0.0518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 21*b**2 + 11*b - 27. Calculate m(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**2 + 27*s**4 + 3*s**4 + 39*s - 39*s wrt s?\nAnswer: 720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109917 - -2746177\/25. Let k = n + 70. What is the third biggest value in -5\/3, k, -1\/4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*u = -36. Suppose 0*p + 25 = 5*p, r - u = -2*p. Solve -r*s = d + 7, -9 = 2*d - 0*s + 3*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*c = 2*f - 6, 0 = -f + 5*c + 14. Solve -i = 3*a + f, 0*i = 2*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/3*j**3 + 0 - 1235\/3*j - 1240\/3*j**2 = 0. What is j?\nAnswer: -247, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u**2 + 5*u - 2. Let y = -2 + 5. Suppose -4*i = -y*f - 25 - 27, -f + 46 = 5*i. Calculate the remainder when i is divided by l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 s, and 2 b when four letters picked without replacement from {e: 4, b: 3, s: 5}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Let q be 84\/9*66\/77. Let s(b) = 2 + q - 5 + b - 10*b. What is s(z(n))?\nAnswer: 18*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000399 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337967365 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-268)\/5 - 2\/5. Let u = 91 + m. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4666, -4665, -4664, -4663, -4662?\nAnswer: -4661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -69, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -186, -2, -258 in increasing order.\nAnswer: -258, -186, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1282 = -28*l + 26*l. List the prime factors of l.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 7*t - 5. Let v be x(2). What is the greatest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911534478 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/12 + (-10)\/(-3). Suppose -3 = i - 5*k + k, -21 = -l*i - 3*k. Solve 0 = 3*h + h - 2*a + 6, a = -i*h - 25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 18*u + 47)*(0*u + 0*u + u) + (2 - u - 2)*(-6*u + 3*u + u) - 27*u**2 + 8*u**2 - 16*u**2.\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33 - 38474217.\nAnswer: -38474217.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*d + 126*d = 3*r + 13, -2*r = -5*d + 52 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 + 2 - -1. Suppose j - u = -0*j. Suppose 2*t = -2*k + j, -3*k - 8 = -k. Calculate the remainder when 13 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6628932 and 1657233.\nAnswer: 6628932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*q = -21, -q = -3*h + q + 12. Let u be (1\/3*3)\/1. Calculate the common denominator of u + 75\/h + -1 and 16\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*-12 + -2 + 1 + 0. Let a = x - -168. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (-4*-1*sqrt(1008))**2 + -5 - (sqrt(63)*2 + (-3*sqrt(28))**2).\nAnswer: 6*sqrt(7) + 15871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -56. Suppose -s = 2*w - 1, -w + 2*s + 8 = -0*s. Let l = 5 + -7. Sort i, l, w in descending order.\nAnswer: w, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvbvvbvvvvb. Give prob of sequence vvvv.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1, 9\/4, 60 in decreasing order.\nAnswer: 60, 9\/4, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12002 (base 3) to base 2.\nAnswer: -10001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1452 and 6.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u - 20*u = 356. Let p(l) = -4*l**2 - 5*l + 1. Calculate p(u).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101 - -244. Let y = q + -97. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 8:41 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 14\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.13.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 6. Suppose 5*i + 2*i + 0*i = 0. Let w(t) = 6*t - 3. Let m be w(3). Suppose i = -2*j - j + m. What is h(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*k = 6*r - 22, -5*r + 21 = -k. Suppose 4*m - 2*m = -r. Let p be 2\/12 + m\/12. Solve p = -q - 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Let u be (-1 - -1)\/((-4)\/2). Solve 5*w - 2*j + 15 = -5*j, u = n*w + 2*j + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(0 - -3*(-4)\/36). Let h be ((-2)\/(-6))\/((-2)\/(-8)). Let f be (-4)\/16 - 34\/24. Put f, h, l in descending order.\nAnswer: h, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 451532 and 37388?\nAnswer: 5869916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 719087199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 + 134694*m**3 - 9071775578*m**2 + 72567739440*m - 145131168800.\nAnswer: -(m - 134690)**2*(m - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 828721063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**2*p**3 - 771*a**2*p**2 + 9*a**2 + 5271*p**4 wrt p?\nAnswer: -18*a**2 + 126504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49, -60, -49, -22, 15, 56, 95, 126?\n\"Answer: -b**3 + 17*b**2 - 55*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**(-5\/16))**(-15)\/((j*(j\/j**1)\/j)**(14\/11))**(1\/54) assuming j is positive.\nAnswer: j**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**4 + 13120*u**3 - 8606720*u**2 = 0.\nAnswer: 0, 1312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 9) to base 12\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1554?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x - 20. Let y be i(4). Suppose 2*b = -2*j + y, b + 12 = -5*j + 30. Suppose -3*w + 3 = -2*w. Solve -5*u = b*g + 20, -2*g - 28 = 3*u + w*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295\/73 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {j: 7, d: 4, c: 2}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2049889*b**2 - 446771*b wrt b.\nAnswer: -4099778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 67986?\nAnswer: 339930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 2*a - 35. Let j be ((-3)\/(-5))\/(2\/(-5)). What is the smallest value in j, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20703.62 rounded to the nearest ten?\nAnswer: -20700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.1 + -9. What is the closest to y in -1\/4, -3\/2, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 6*g + 2. Let o be n(4). Let k be ((-4)\/12)\/((-1)\/18). Suppose f + k = o. Solve -12 = -3*p, 4*h - f*p = -7*p - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = 0. Let b be -3 - 0 - (0 - f). Let x(t) = 5*t**2 + 5*t + 3. Let c(a) = 9*a**2 + 9*a + 5. What is b*c(r) + 5*x(r)?\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14 = -2. Let o be 138\/5*(-40)\/l. Let g be o\/6 + 6\/(-9). Calculate the highest common factor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*l = 7*p - 45, 5*p - 45 = -l. What is the lowest common multiple of p and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5483655 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20308800.\nAnswer: 2, 3, 5, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -6 + (-3 - -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6334 by -140.\nAnswer: -3167\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let u(s) = 8*s**2. Let c(i) = i**2. Let z(k) = 28*c(k) - 4*u(k). What is a(z(q))?\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2268.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 261240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:42 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -0.115\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + y + 2 + (1 + 1 - 3)*(-y - 4*y + 4*y) + 2 - 2 + y)*(937685*y**3 - 3978 + 15956 - 937684*y**3).\nAnswer: 3*y**4 + 35934*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13348.6 - 13349. Suppose -3*l - 26 = -4*l + 2*p, -6 = -3*p. Let t be (-7)\/21 - 14\/l. What is the second biggest value in t, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -3\/4, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 99*m + 3. Let x(r) = 3*r**2. Calculate x(c(q)).\nAnswer: 29403*q**2 + 1782*q + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6635*w - 196 = 6649*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*z - 11, 4*z + 7*v = 9*v - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 207675257?\nAnswer: -207675256.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 255864 less than 255863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 591 divided by 24233.\nAnswer: 591\/24233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 14, a: 4}. What is prob of picking 1 a and 1 x?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2. Let g(z) = -18*z + 1. What is p(g(m))?\nAnswer: -972*m**2 + 108*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2763 and -25\/69.\nAnswer: 63549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((0 - 2) + (-1 - -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 23*z. Let d(r) = 823435*r. Calculate d(j(s)).\nAnswer: 18939005*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000070449 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -39, 3, -2, 1 in descending order.\nAnswer: 3, 1, -2, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20333.\nAnswer: 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 less than or equal to 8086\/627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:14 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -7 (b) 16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2046, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**2 - 25991. Let g(t) be the third derivative of 8*t**5\/5 + 2*t**2. Give x(g(p)).\nAnswer: 192*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 20*v - 186. Let p be x(-9). Let f = 372 + p. What is the fourth biggest value in f, -4\/3, -2\/25, 0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 100*a**2 - 1344*a - 2304 = 0 for a.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let j = m + 4. Let k be (j - 1) + (-20)\/(-2). What is the highest common divisor of 96 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 843 + 61?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605722, -1211446, -1817152, -2422828, -3028462, -3634042, -4239556, -4844992?\nAnswer: -5450338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331217888 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217 - 217. Suppose 5*h + 2*j - 226 = -a*h, 2*h + j = 90. What is the remainder when 181 is divided by h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(72))**2 - sqrt(72)) + -3 + (sqrt(72) - ((1 + sqrt(72) - sqrt(72) - sqrt(72)) + sqrt(72))*-6)**2.\nAnswer: 66*sqrt(2) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, a: 2}. What is prob of picking 2 f?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 88, 0.4, 922 in decreasing order.\nAnswer: 922, 88, 4, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(12\/(-3) + 3). Let b = -2 + x. Let g(i) = -9*i**3 + 3*i - 4. Let w(f) = f**3 + 1. Let r(m) = b*w(m) - g(m). Find the second derivative of r(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 2*g - 5*a, -3*a + 2*a = -3. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168737\/2760 + 489\/8. Let c = z - 953\/460. Calculate the common denominator of -61\/24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4, -4*f = -4*a - 26 - 18. Let s(j) = 2*j**3 - 12*j**2 - 9*j - 8. What is the remainder when 76 is divided by s(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + 55. Let p be c + (-1 - (-6 + 4)). Let v be 0*2\/p + (1 - -62). What is the highest common divisor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1138 = -3*d - 3*r + 1225, d + 4*r = 38. Solve -d*u + 40*u = -42 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3986669010.\nAnswer: 2, 3, 5, 53, 2507339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 193, 334, 777, 1672, 3169, 5418?\n\"Answer: 25*f**3 + f**2 - 37*f + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*g + 1424 = 0. What is the remainder when g is divided by ((-19747)\/(-3822))\/((-1*(-2)\/3)\/4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51183857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 919 - 905. Suppose -4*b - 3*a = -435, -3*b + 295 = -3*a - a. What is the remainder when b is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -244\/9, 3, 9\/8 in increasing order.\nAnswer: -244\/9, 9\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 14*p**2 + 13*p - 13. Calculate d(15).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5366, 10729, 16092, 21455, 26818?\nAnswer: 32181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -67 - 58 + 125 - r**2. Let m(y) be the second derivative of 0*y**2 + 0 + 1\/2*y**4 + 2*y + 0*y**3. Determine s(m(v)).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, 27, -5, -8, -12, 12 in decreasing order.\nAnswer: 27, 15, 12, 3, -5, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13*(-1 + 2)*(-21)\/7. Suppose 3 = 12*c + x. List the prime factors of (c - 1215\/(-6)) + (-15)\/10.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-66)*1\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0 - 0) + 1)*-1. What is the nearest to k in 0.4, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c**2. Let p(n) = 4*n**2. What is p(j(v))?\nAnswer: 400*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139557943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3282040 and 0.1.\nAnswer: 3282040.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 636490, 2544960, 5725744, 10178842, 15904254, 22901980?\n\"Answer: 636157*i**2 - i + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1142, -3, -1, -18 in descending order.\nAnswer: 10, -1, -3, -18, -1142","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*t**4 - 22760*k*t**3 - 2*k*t - k + 6*t - 2 wrt t?\nAnswer: -24*k*t**2 - 136560*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -325*k. Let r(g) = -121*g. Calculate r(p(m)).\nAnswer: 39325*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.48 - 0.3. Let x = n - 7.18. Let k = -10 - x. Which is the smallest value? (a) k (b) -2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-417)\/(-45) - (-1791)\/(-199)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 722361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Let p be z\/2 - 50\/(-136). Let o = p - 2\/17. Which is the smallest value? (a) 0.1 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((0 + sqrt(3) - sqrt(3)) + -4))**2 + 3*sqrt(12)\/sqrt(4) + sqrt(30)\/(sqrt(60)\/sqrt(6) + sqrt(10))*6.\nAnswer: 19 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/60 + 7*g**5\/30 - 5*g**4\/12 - 17*g**3\/6 + 57*g**2 + 101*g. Determine m(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-12) + 16\/(-3). Let w be 3 + 3\/q + -1. Let l = -24.8 - -24.9. Put w, l, -0.2 in decreasing order.\nAnswer: w, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 + 1510*c\/3 + 23936.\nAnswer: 2*(c + 51)*(c + 704)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-s + 3*s - 3*s)*(3*s**2 + 0*s**2 - s**2) - s**3 + s**3 - 2*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 - 530*i**2 + 2 + 507*i**2 - 3*i**3 + (0 + 1 + 0)*(2*i**3 + 4*i**3 - i**3) to c + o*i + h*i**2 + u*i**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2242 - 1113. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v + 8 = 84. Suppose 2*z**5 + 6*z**4 + z**4 - 13*z**v + 10*z**4 = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*d + 5*d**2 + 52*d)*(3*d - 3*d - 2*d**2) + 3*d**3 - 3*d**3 - 2*d**4.\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 301 = 2*l - 279, 3 = -3*l + 3*m for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 501 (b) 0.1 (c) -2 (d) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Suppose 3*y - 8*y + 30 = -5*v, 3 = -3*v - t*y. What is the third smallest value in -1, v, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44774, -44620, -44466, -44312, -44158?\nAnswer: -44004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/8243565 or -1\/3?\nAnswer: -4\/8243565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -270, -459, -648?\n\"Answer: -189*l - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/14 or -0.04?\nAnswer: 25\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23545 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21608031, 21608033, 21608035, 21608037, 21608039, 21608041?\nAnswer: 21608043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 329*z**3 - 322*z**3 - z.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -111*k - 18. Let t be l(-6). Suppose t = 9*r + 126. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 14) in base 11?\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 351234905 to the power of 1\/3, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9537 - 5796. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -35*m + 286. Give g(11).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 10317?\nAnswer: 10321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14706245.\nAnswer: 5, 31, 79, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - 3*f)*(-1 + 2 - 2).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 4:53 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -59. Let d = b + 18. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 + -3355?\nAnswer: -3246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*y**4 + 31*y**4 + 8*y**2 + 42*y**4 wrt y.\nAnswer: 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105092567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20910, -41821, -62738, -83661?\n\"Answer: -3*t**2 - 20902*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202132 (base 4) in base 9?\nAnswer: 8572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 4 (b) 0.02 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*o = -302*o - 70 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31250 (base 7) in base 12?\nAnswer: -453b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1)*(-3 - (2 - 0)). Let f(d) = d**3 - 4*d**2 - 5*d - 2. Give f(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84721.275 minutes to days.\nAnswer: 58.83421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*o**3*q - 401486*o**3 - 2*o**2*q + o**2 + 10*o*q + 11*o - 2409*q - 4 wrt o.\nAnswer: -120*o*q - 2408916*o - 4*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -46*j + 5. Let u be x(15). Let r = u - -189. Let i = 297 - r. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -9. Let x = -13 + i. Suppose x*s = 3*s - 485. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*20\/(-18)*15\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2593 - 2026. What is the smallest common multiple of 45 and i?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*l + 22, 2*c - 15 = l - 4*l. Let s(z) = z**2 - 5*z - 6. Let d be s(c). Does 10 divide (6*d\/(-9))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 145214.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 - 11*j + 14. Let u(k) = k**2 + 4*k - 5. Let w(q) = -4*i(q) - 11*u(q). Let x be -3 - 3\/(-3)*0. Let t = 4 + x. Give w(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - 15*o + 7*o**2 + 4 - 6*o**2. Let n be j(9). Let k = n - -16. What is the greatest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 9*p - 35. Suppose -4 = 4*c - p*s - 0, c + 2*s - 4 = 0. Suppose -3*k = k. Solve q + c + 1 = k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45122.88589941 - -0.5.\nAnswer: 45123.38589941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -311, -319, -343, -389?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*x - 34 - 34, -x - 3*a - 33 = 0. Let p = x + 40. What is the highest common divisor of 20 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2800 (base 14) to base 6.\nAnswer: -52400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 3*d - 26, 2*d + 5*z = 23. Suppose -3*h + 3 = -d. Solve 4*f + 5*n - 8 = 0, -3*f - n + 2 + h = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:11 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379539.8 millimeters to micrometers.\nAnswer: 379539800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(21) + sqrt(21) + sqrt(189)*-3))\/(sqrt(448) + (sqrt(448) - sqrt(448)*-3)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhhmvvmvvhhvmmvmvh. What is prob of sequence mmh?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124908385.\nAnswer: 5, 7, 89, 40099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510444 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/131 (b) 9 (c) -0.082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -96.3. Let b = x + 6. Let g = 1.07 - 0.07. Sort b, 2, g in decreasing order.\nAnswer: 2, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4839, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 - 2*o**2 + 17*o + 34. Let r(j) = 16*j**3 + 14*j**2 - 89*j - 186. Let i(d) = 11*g(d) + 2*r(d). Let u = 13 - 6. What is i(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - -35?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 26 - 8 = 0. Suppose 3*r - 5*n + 2 = 0, -3*n + 2*n + 13 = -2*r. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 divided by -62.\nAnswer: -149\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 14. Suppose 5*i + 39 = -d - 21, -5*d - 27 = f*i. Let y = 1884 - 1888. Put y, i, 3 in ascending order.\nAnswer: i, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**4\/8 + 2*b**2. Let x(g) = -11*g**2 + 13. Let h(d) = 5*d**2 - 6. Let l(m) = 13*h(m) + 6*x(m). What is o(l(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 + t**3 + 6*t**3 - 4*t**3 + 13*t**3 as x*t + w + c*t**3 + l*t**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 105+-100695282\nAnswer: -100695177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231621 - 645921 = -33*l - 36*l. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2 and 137\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 3*k**2 - 3*k - 4. Let m be b(-3). Let x(a) = -a + 11. Let z be x(8). Suppose m*i + 4*l = 287, -z*l - 12 = -7*l. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 70173910?\nAnswer: -210521730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 2. Let n be (-2)\/(-6) - (-40)\/(-12). Suppose 4*r - 2*o - 1 = -3, 0 = r + o - 7. Let i(a) = -5*a - 1 - r*a - 2. Give n*i(h) + 5*v(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/528 and -89\/4146.\nAnswer: 364848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 10778308?\nAnswer: -10778303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3647752566 to five decimal places.\nAnswer: 0.36478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62\/3 or 21?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000243 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 33, 50, 65, 78, 89?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194103\/26590 + -2\/13295. What is the common denominator of o and 13\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 134424433?\nAnswer: -134424431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -371683795 bigger than -371683795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and -3?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 6 = -18*t, 3891 = 2*v + 3*t. Calculate the greatest common divisor of 156 and v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/26329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 8. Let g(s) = -4*s - 8. Let z(c) = -5*g(c) + 6*r(c). Differentiate z(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyqqyyyy. Give prob of picking 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**3\/2 - 4*s**2 - 137*s. Calculate k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.7 - -5. Let s = o - -0.7. Let m = 16.5 - 16. What is the closest to s in -1\/2, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6219 (b) -92.9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - o**3 - 4)*(o**2 - 2*o**2 - o**2) + 24*o**3 - 24*o**3 + o**5 + 70*o + o**5 - 46*o - 26*o + o**4 - 2.\nAnswer: 4*o**5 + o**4 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 + 37218*o**2\/7 + 4522770*o + 985018482.\nAnswer: 2*(o + 441)**2*(o + 17727)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 2\/19, 1\/13, -0.0030119, -3?\nAnswer: -0.0030119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i - 79. Is h(15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 3. Let m(o) = -o**3 - 6*o**2 - 5*o + 8. Let n be m(-5). What is the units digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 times 1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63132 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**5\/60 - m**4\/12 - 3*m**2\/2 - 4*m. Let d(r) be the first derivative of t(r). Find the second derivative of d(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(1\/(-3)))\/(8\/(-24)). Suppose -205 = -c*v - 7. Calculate the highest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrulrrrrrlurr. Give prob of sequence rl.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513 divided by 171.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -21*f + 19*f - 20, 4*f + 16 = -4*g. What is the second smallest value in 6\/19, g, -2\/5?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*t + 105. Let w be (-2)\/3*t\/(-10). Let d(o) = o**2 - 6*o + 6. Let a be d(4). Is a < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*d - 52, r + 3*d + 1 = -1. Let a(l) = l. What is the remainder when r is divided by a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7596.13 and 1638.\nAnswer: 9234.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*b + 264 = -0*w, -264 = 4*w + b. Let o be 20\/3*w\/4. Let n be (-341)\/o - 6\/2. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 144\/81 + 6\/27. Suppose 0 = x - 2*x + 3. Solve -7 = -x*o + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3733 less than -131?\nAnswer: -134.3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9 = 7. Let c be (4\/8 + -1)*14. Let o = l + c. Solve 0 = -4*s - 3 - o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u + 3. Is a(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/2 - 705*p**4 - 10649*p**3 - 54780*p**2 - 234999*p\/2 - 89775 = 0. What is p?\nAnswer: -7, -3, -2, 1425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25256967 and 26707.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2472 divide 144077987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.5381052.\nAnswer: 2.690526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100190.8899393 + 9.\nAnswer: -100181.8899393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*v + 4*s + 9, -s + 66 = 4*v. What is the remainder when 45 is divided by v\/((-2)\/2)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82730 + -41675. List the prime factors of y.\nAnswer: 3, 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2\/27 (c) -15 (d) -66 (e) -2\/7 (f) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 7*a + 4. Let l be b(7). Find the third derivative of -2*m**2 - m + m**4 - 4*m**l + m wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 4*s + 690921 - 690905, -4*v + 14*s = 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - h + 43131 = 0, -5*w + 2*h + 215625 = h. Let m = 102272 - w. Let o = -99146 + m. What is o rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 0.14.\nAnswer: -0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -3 (c) -0.5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4900286780?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.627153 rounded to two dps?\nAnswer: -2.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.3077 nanometers in kilometers?\nAnswer: 0.0000000005963077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -704, 5, 9.\nAnswer: -704, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 13. Let z(r) = 3*r**3 + 2*r + 8. Let q be ((-3)\/(-2))\/((-1)\/2). Let g(m) = -2*m**3 - m**2 - m - 7. Let b(t) = p*g(t) + q*z(t). Give b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 - (-160)\/(-168).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d - 7. Let s(n) be the third derivative of 0*n - 1\/24*n**4 - 1\/6*n**3 + 0 - 7*n**2. Let p(u) = -2*h(u) + 14*s(u). Give p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1899 + -36b8?\nAnswer: -1c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 370 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/9367 and 53\/69252.\nAnswer: 22368396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 2, -0.128182, -0.3, -1, 4?\nAnswer: -0.128182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:40 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/(sqrt(20)\/sqrt(4) + sqrt(5)) + -2*sqrt(56)*-4)*-5)\/(-2*sqrt(648)*1*-3).\nAnswer: -85*sqrt(7)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 6) in base 7?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - (-102 + (-34 - -38))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2)*s\/s**6*s)\/(s**(-1\/4)*s**(-3\/2)))\/((s*s**(2\/5))\/s**4)**(-27) assuming s is positive.\nAnswer: s**(-1469\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5 + (sqrt(1216) - (sqrt(1216)*2 + -4))*-3*-1)*-6)**2.\nAnswer: -32832*sqrt(19) + 406980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -5. Suppose -g = 2*g - 5*z + 9, -2*g = 2*z + 6. Let a be g\/(n\/8*2). Solve a*y - 2*y - 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (7 + -1 - 26).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4860)\/(-2160)*366*12\/162.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.206 and -11.\nAnswer: -11.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5370 - -1?\nAnswer: -5367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - o + 24 = 0, -d + 13 - 6 = 3*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + -5*(sqrt(19) - (sqrt(19) + -1)**2) + -4.\nAnswer: -15*sqrt(19) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.716 rounded to 0 decimal places?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 1 r when three letters picked without replacement from {z: 3, r: 3, o: 4, m: 2, y: 1, f: 3}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-63)\/3 + 0. Let s = 2438 + -2429. Is (36\/v)\/(s\/(-84)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1780 and 45?\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 1:27 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(68)*-2 - sqrt(68) - sqrt(68)))\/sqrt(4))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2*(-2336)\/(-10912))\/(3*-2) and -133\/558.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 0, 5*m = -4*z + 48. Calculate the remainder when 31 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 + 99 - 96 = 9*n. What is the remainder when (-157)\/(-5) + 4\/(-10) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**8\/15120 - j**7\/1890 + j**6\/180 - j**5\/54 + 3*j**4\/4 - 19*j. Let l(a) be the third derivative of r(a). Factor l(z).\nAnswer: -4*(z - 1)**2*(z + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - 4*r)*(-2*r - r + r) - 61*r**2 + 7*r**2 + 5*r**2 + 2*r**2 - 4*r + 4*r.\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 10880, 12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 - 164765*g\/7 + 494286\/7.\nAnswer: (g - 164762)*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2\/2 + 8781*u\/2 - 4392 = 0.\nAnswer: -2928, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -15. Suppose -3*w - l = 40, -2*w + 5*l = -6*w - 57. Let h = q - w. What is the remainder when 9 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 16, 1, -1\/7 in decreasing order.\nAnswer: 16, 2, 1, -1\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11c + -78?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4780.39 - 101.39. Let l = 4678.52938 - m. Let h = l - -0.47. Round h to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t**2 + 4*t**2)*(2 - 7 - 11).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675*y**5 + 3465*y**4 + 3153*y**3 + 375*y**2 + 12*y = 0. What is y?\nAnswer: -4, -1, -1\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -10. Let u(q) = q**3 + q**2 - q + 1. Let z be u(m). Suppose 0 = 2*v - h - 23, 3*v + z*h = 7*h + 24. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -37.99. Let x = 0.53 + z. Let n = x - -0.46. Which is the closest to -4? (a) n (b) 0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12 = 4*a. Calculate the greatest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -238?\nAnswer: 13\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.2 (b) 0.058 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 107 - 15 - 2*f**2.\nAnswer: -2*f**2 + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9 + 1 = 0. Suppose 0*r = 2*r + 2, -4*r - p = -a. Find the second derivative of a*f + 9*f**2 - 12*f - 8*f**2 wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 6*x - x + (0 + 0 - 2*x)*(-2 + 1 + 0) + (3*x - 4*x + 0*x)*(2 - 9 - 13).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1, 4 in descending order.\nAnswer: 20, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 2. Let g be u(-2). Let n(x) = 7*x - 7*x + g*x + 8*x. Let b(h) = 2*h**2. Calculate b(n(a)).\nAnswer: 392*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-1) - 130\/(-68) and -137\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(637) + -5)*-1 + -1)**2.\nAnswer: -28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)\/sqrt(12))**2 + (sqrt(9) - sqrt(324))\/sqrt(3).\nAnswer: -5*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/228)\/(6\/8 - 0)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.9, -527\/2, 4.1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 10356?\nAnswer: -10361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-6)\/69) + -2. Suppose 9 + x = -5*z. Let r(m) = -m - 6. Calculate r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let w = -12 + 15. Which is the biggest value? (a) w (b) -1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1058500, -31, 4 in decreasing order.\nAnswer: 1058500, 4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 11.5945703?\nAnswer: 24.5945703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = 3*x + 1133. Let d = 499 + x. Let b(y) = -y - 7. What is b(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13160049 divided by -5?\nAnswer: 13160049\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/756 and 125\/1470252?\nAnswer: 13232268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v + 75. Let f be w(-5). Suppose -1480 = -f*z - 22*z. Are z and 38 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111110 (base 2) to base 12\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0888975 and -0.3.\nAnswer: -0.2111025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(108) - (sqrt(18) - (sqrt(18) + sqrt(288)))\/sqrt(6).\nAnswer: 1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40589607*g**4 - 33825157 wrt g?\nAnswer: -162358428*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 11. Let i(t) = 3*t - 47. Let n be i(14). Suppose 0 = 5*y - 4*y. Put k, n, 6, y in decreasing order.\nAnswer: 6, k, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378363 divided by -13047?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8715 divided by -6?\nAnswer: 2905\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 3, l: 1, n: 7, q: 4, u: 2}. What is prob of picking 2 u and 2 q?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.082 - 9.582. Let d = m + 9.2. Which is the second biggest value? (a) d (b) 0 (c) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 152 - 79 - 73.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let g(t) be the first derivative of -t**4\/4 + 6*t + 2. Let a(u) be the first derivative of g(u). What is a(d(q))?\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and 28.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5084, 10169, 15254?\n\"Answer: 5085*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3388589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-146)\/511 + ((-381807)\/(-7))\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -77, -120, -165, -212, -261?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1673010, 6692047, 15057108, 26768193, 41825302, 60228435, 81977592?\nAnswer: 107072773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 25. Let x = 29 + -37. Let y be s(x). Let i = 25 + -10. Solve -i = m + o - 6*o, -m - 3*o + y = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16859332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 33, 76, 145, 246?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - 100 = 5*w, 2*j + 3*w = 15. Let t be 2\/(-10) - (-123000003)\/j. Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 2*c**2 + 6*c + 33. Let l be k(-8). Let n = l + 298. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 123*k**2 + 253*k + 2092. Calculate the lowest common multiple of 7 and l(121).\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2 + 15634672*m = 0.\nAnswer: 0, 3908668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -88438 and -88447 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1934589\nAnswer: -3869178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 4 (b) -0.04 (c) 1.5 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1160 + 2573*s + 1160 to z + w*s and give w.\nAnswer: 2573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -976*m**4 + 24*m**3 + 2*m**2 + m + 594. Let a(d) = -12*d**3 - d**2 - d. Let k(j) = 2*a(j) + h(j). Find the second derivative of k(g) wrt g.\nAnswer: -11712*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sllp when four letters picked without replacement from plssllpsssp?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2\/3*m**5 - 4*m**3 + 0 - 10\/3*m**4 + 16\/3*m + 8\/3*m**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a06db2 (base 14) to base 12.\nAnswer: -1983600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3600 (b) 4\/5 (c) 4 (d) 3\/8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551631 is divided by 1726?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p - 8. Calculate the smallest common multiple of 18 and a(3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 7. Suppose 3*c = -a - 71. List the prime factors of (-2528)\/c + 4\/(-18).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 3*g - 4*g - g**3 to s*g + q*g**2 + l + a*g**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*z - 67, 5*z - 4*f + 0*f - 53 = 0. What are the prime factors of (80\/(-6))\/(z\/(-195))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggrggggggr. What is prob of picking 2 g?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - o - 1. Let b(k) = -7*k**3 - 6*k - 6. Suppose 2*f = 2*c + f + 15, -5*f + 21 = -c. What is c*g(t) + b(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 17 (b) 0.08 (c) 90\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1817, -14.\nAnswer: -14, -2, 1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 503\/3. Let w = 828 + -833. Which is the smallest value? (a) -3 (b) h (c) -2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {h: 3, y: 13, b: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by -4.\nAnswer: -117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204 + 120?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(7\/70)*1\/(-4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u - 7*u**2 - 8*u**3 + 1\/20*u**5 - 7 - 15\/8*u**4. Factor k(z).\nAnswer: 3*(z - 16)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2893 is divided by 79?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53782*y + 60535.\nAnswer: 53782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*w**2 - 27*w**2 + 63*w**2.\nAnswer: 102*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 218*t - 223*t + 15. Find the first derivative of 50*v**t + 16*v**3 - 68*v**3 + 17*v**2 + 271 wrt v.\nAnswer: -6*v**2 + 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5529 - 1506. What are the prime factors of h?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 8*a**2 + 2*a**2 - 5*a**2 + 3*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - 9 - (25 - (3 + 8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 31. Let u be g(9). Suppose 2*t + 5*s - 32 + 12 = 0, t - 9 = -2*s. Suppose -391 = -z - t*o, -o = -u*z - 0*o + 1522. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61184*j**6*o + 1830*j**5 - 341*j**2*o - j**2 - 5*j*o - 3*j - 4*o + 2 wrt j?\nAnswer: -7342080*j**3*o + 109800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + 4*g + (g - 2 + 2)*(0 + 3 - 1) - 3*g + g + g + 4*g + 15 - 15)*(-143*g - 161*g - 50*g).\nAnswer: -2124*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**2 + 3*n - 11*n - n. Let u(g) = g - 4*g**2 - 5*g - g**2. Let o(y) = -4*f(y) + 10*u(y). Find k, given that o(k) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.975364 nanoseconds to milliseconds.\nAnswer: 0.000001975364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -15*m**2 - 240*m - 24. What is a(-16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106623.7506 minus 0.6?\nAnswer: 106623.1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**3\/6 + 7*s**2\/2 - 3*s. Let w be x(-15). Let n(a) = a + 26. List the prime factors of n(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -549 + -0.198\nAnswer: -549.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 956101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*w**2 - 45*w**2 - 30*w**2.\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 14*n = 19*n + 34, -c = 13*n + 74 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -681437 in 0, -7\/10, 0.05?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 32*i + 241721 = 0. Let p = i - 3654. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -4, -1, 2, 19 in decreasing order.\nAnswer: 19, 2, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 84817.01 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5347*y - 38125. Give o(-7).\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - 2*m**2 + m + 2. Let a be w(2). Let q = 74 - 66. Calculate the greatest common factor of a and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*u**3 + 613*u**2 - 32717*u?\nAnswer: 660*u + 1226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1167876 * -0.4\nAnswer: -0.04671504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 279 = -27*q - 1 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a)**43)**(-10\/9) assuming a is positive.\nAnswer: a**(2150\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 162 and 26.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (81 + -85)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(76) + (sqrt(76) - (sqrt(76) + 0)))**2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -53?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 + -141. Suppose z = 17*f - 2*f + 1845. Let u be (2 + f\/(-12))\/((-2)\/(-8)). What is the greatest common divisor of u and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5361401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(288)*1 + (3 + (sqrt(288) - (sqrt(288) + sqrt(288)*-1)))**2.\nAnswer: 60*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(2))*6 + -3*sqrt(50))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a661 (base 11) in base 10?\nAnswer: 87308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541 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: Expand -2*j - j**4 + 2*j + (-191 + 191 - 24*j**2)*(-14*j**2 - 206*j + 206*j) - j**4 - 3*j**2 + 3*j**2.\nAnswer: 334*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a - 18. Let x(y) = -23*y - 53. Let f(r) = 17*p(r) - 6*x(r). Let j = -21 + 16. Let b be f(j). Solve 4*k - 6 = -b*s, 1 + 2 = 3*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 27*j - 31*j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2209\/(-564) + 1\/(-12). Is h <= 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 r when three letters picked without replacement from {r: 1, f: 5, i: 1, x: 4, a: 5, m: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 1\/25 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 - 321?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -343.271 and -0.3.\nAnswer: 102.9813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.8729 + -4.1271. Sort 0.03, s, 1, 4\/3 in descending order.\nAnswer: 4\/3, 1, 0.03, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80626 divided by 2\nAnswer: 40313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11604 - -0.01396. Which is the third smallest value? (a) v (b) -1 (c) -1\/12 (d) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163608056 a multiple of 2092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*z = -2, -1 + 7 = m + 5*z. Let w = 158 - 422. Let a be 178\/1100 - (-48)\/w. Which is bigger: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -4, 9, 67, 11, -5 in decreasing order.\nAnswer: 67, 11, 9, 6, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -1*sqrt(468) - (sqrt(13) + sqrt(39)\/sqrt(3) + -2))**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 13*h - 14*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 5. Let s(t) = t**3 - 2*t**2 - 9*t + 4. Let v be s(4). Suppose v = 16*a + 4*a + 120. Give x(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -21. Let i(g) = h*g - g + 7 - 3 - 3*g. Let t = -350 + 346. Calculate i(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 1487, 3609, 6603, 10475, 15231, 20877?\nAnswer: 27419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 183 = -772. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 133*m**2 + 7797*m + 1590. Determine f(-177).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + j - 1. Calculate the least common multiple of 3 and f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 45, -69 in decreasing order.\nAnswer: 45, 4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206946?\nAnswer: 2, 3, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8247, -16510, -24773, -33036?\nAnswer: -41299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**3 + 2194 - 1098 - 9*g**3 - 1096.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59165, 59194, 59131, 58976, 58729, 58390, 57959?\nAnswer: 57436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/4)\/((-24)\/10))\/((3311811\/(-9432))\/2809).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 5*z + 2*h, 3*z - 3*h = -4*h + 103. Is z >= 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 2121?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 523 - 523. Let g(p) be the third derivative of -7\/6*p**3 + 2*p**2 + c + 0*p**4 - 1\/60*p**5 + 0*p. Find the first derivative of g(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 + (-11)\/11 + -1 + -15 + (11 - -1)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(0 + (-3)\/(-423)). Suppose -x - 6*m + m + 157 = 0, m = -x + n. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 270.612 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3189 + -3179. Sort -4, u, -9, 0.\nAnswer: -9, -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-222)\/64)\/37*(-2)\/3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 651*y - 4163 + 3095 + 608*y with respect to y.\nAnswer: 1259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-3\/4)*w))\/(w\/(w*w\/w**(-5\/4)*w))*(w**(-1\/9))**7 assuming w is positive.\nAnswer: w**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 + 1.5652?\nAnswer: -177.4348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -965*u + 955*u + 40. Solve 12*d - u = 14*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*5*14\/175?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 78624?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2210 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 222*w - 546. Let g = -37 + 39. Let h(s) = -17*s + 42. Let b(q) = g*f(q) + 27*h(q). What is the derivative of b(c) wrt c?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 634992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859 - 290 - 287 - 162*a - 282.\nAnswer: -162*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-1134))\/(13\/39).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19959*p + 11501*p - 1 + 1 + (-p + 3 - 3)*(4 - 3 - 2))*(-6 + 0 + 3)*(-3 + 4 + 0).\nAnswer: 25371*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 11. Suppose 117*g = 111*g + 432. What is the remainder when g is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 426 + -436.15. Let d = o - -0.15. Let l = d - -8. Which is the second biggest value? (a) -2\/9 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942 = -12*i + 786 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22 + 7\/((-308)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-420)\/24) + 12720\/(-2079) + (-28)\/(-154).\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112005 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {w: 2, y: 4, a: 1, q: 1, s: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16145001 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16145109 to the power of 1\/2, to the nearest integer?\nAnswer: 4018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66592 is divided by 186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 7*m - 29*m. Calculate the remainder when 50 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(25) - 1*sqrt(25))*5)\/((sqrt(180)\/sqrt(4) - sqrt(5)) + 4*sqrt(5)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/28*2\/(-12). Which is the third smallest value? (a) -0.4 (b) 10 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3284, -3296, -3322, -3368, -3440, -3544?\n\"Answer: -z**3 - z**2 - 2*z - 3280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s**2 - s. Let z(o) = -3*o**2. Let m(k) = -3*k**2. Let g(a) = 5*m(a) - 6*z(a). Suppose 19 + 16 = -5*c. Determine c*g(d) + 2*h(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (-1 + sqrt(13) + 4) - (-1 + sqrt(13)*1 + sqrt(13))**2.\nAnswer: -56 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/12)\/((-14 - (-1503)\/108)*-4)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -3 (b) -0.2 (c) 851 (d) 228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 287268 - 6436 = -70096. Is d a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3550 + 1095 = 5*c. Calculate the remainder when c is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 20187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 0*r**3 - 194 + 11\/2*r**2 - 3\/5*r**5 + 221*r + 0*r**4. Differentiate d(x) with respect to x.\nAnswer: -12*x**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 658 = -p - 689, 4*p - 2*l - 30 = 0. What is the least common multiple of 2596 and p?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.014 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0, 2\/11, 13\/30, 0.4, -14 in descending order.\nAnswer: 26, 13\/30, 0.4, 2\/11, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270 - -402. Suppose -8*q = -6*q - 12. Suppose d = q*d - 60. What is the greatest common factor of s and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15873*j*o*t**2 - 15*j*o*t - 2*j*o + 6*j - o*t**2 - 2*o*t + 2*t**2 - 14*t wrt t.\nAnswer: 31746*j*o - 2*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/5*(1 + (-3)\/(-2)). Solve -3*x = 4*x + v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 50*i - 1. Let l be j(2). Let c = 139 - l. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2436)\/(-3248)*(-3)\/(-72).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*t**5 + 333*t**3*x**2 + 4*t**2 + 524*t*x**2 + 1359*t*x wrt t.\nAnswer: 2240*t**3 + 1998*t*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6)*(-9)\/(-12))\/(11565\/4626).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -192 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k + 4 = 0. Suppose 3*v = 2*v + 10. Calculate the lowest common multiple of v and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*r - 58*r - 2*r + 460. Solve -b - 4*f + 5 - 9 = 0, 0 = -2*b - 5*f - r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*q = -280*q - 150. Let s(x) = 74*x**3 + x. Let h be s(1). Calculate the greatest common factor of h and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1044.30309285397 + -17.30309221097. Let d = 1027 - z. Round d to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*l - 4*l - 1564. Solve 4*y = -3 + l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8560909 - 4280580 - 4280329 - z**2 - z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 32402133423?\nAnswer: 32402133432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 y when four letters picked without replacement from {w: 3, y: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61449 is divided by 735?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -222.1054*-0.25\nAnswer: 55.52635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 7. Let t be d(3). Suppose 3*v = -t*a + 24, -5*v + 4*a = -7 - 1. Suppose v*i - 2*m - 639 = -i, 5*m = 4*i - 518. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -2, 0, -1\/5 in decreasing order.\nAnswer: 1\/8, 0, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3706059 or -3706069?\nAnswer: -3706069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554589 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + 1)*(-105)\/(-140).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11289 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 y(j) = j**2. Let v(q) = -17 + 36 + 29*q**2 - 19. Give y(v(h)).\nAnswer: 841*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 5*j + 5. Let g be b(-5). Let f be 12\/(-3) + ((-6)\/(-2) - -1). Solve -9 = -g*i + 2*n, -2*i - n + f*n = -9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a. Let i(x) = 60*x**2 + 2*x. Determine y(i(z)).\nAnswer: -360*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 + 6*k + 7. Let r = 4 - -3. Let i be 99\/(-21) + (-2)\/r. Is b(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = v + 5. Let x = 23 + v. Suppose 6*a - 4*a - j - x = 0, -a = -3*j - 17. Solve -5*p = -a*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 50 = -11. Calculate the remainder when 116 is divided by k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 19. Solve -p + l*p = h + 3, -2*h + 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 26. Suppose 0*y + 240 = 3*y. Suppose 2*p = -3*p + y. Calculate the greatest common factor of p and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -68, -55, -24, 31?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11328 is divided by 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -h - 3, -48*h + 46*h + 2*d - 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 55*l - 50*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4173015*h**3 + h**2 - 79019*h?\nAnswer: 25038090*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(475) - ((sqrt(1216)*-2 - sqrt(19)) + sqrt(19)))*3 + (sqrt(475) - (-5 + -2*sqrt(475))) + 3*(sqrt(475)*-2 + sqrt(475)))**2.\nAnswer: 180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 159*p**2 + 7*p - 102. Let a(r) = -r**2 - 29*r + 148. Let s be a(-34). Let y be b(s). Round y to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from yyaysvyssvsacyyvavay?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = t + 168. Calculate the highest common divisor of t and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t - 4*t)*(t**2 - t**2 + 2*t**4) + (6*t**4 + 0*t**4 - 7*t**4)*(-3*t + 2*t + 0*t) + (-4*t**2 + 0*t**2 + 2*t**2)*(-2*t**3 + t**3 - t**3).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1569 + -914. What are the prime factors of c?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 739479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -350159*f*r**3 + 2*f*r**2 - 44*f + 950*r - 55 wrt r.\nAnswer: -2100954*f*r + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3))**39)**(3\/17)\/((v**7\/v**(-4))\/(v**(-1\/6)*v**(-2)\/v)) assuming v is positive.\nAnswer: v**(-1211\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**7\/840 + o**6\/180 - o**5\/30 + o**4\/12 - 5*o**3\/3 + 2. Let t(r) be the third derivative of c(r). What is t(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n - 5. Let j be 1 + 6*(-1)\/1. Let t(c) = 6*c + 4. Let i(x) = j*t(x) - 4*p(x). Let u(a) = a. Determine u(i(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 4*j - j + 3*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290956 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6004, 6002, 6000, 5998, 5996?\nAnswer: 5994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g - 1\/20*g**5 - 1\/3*g**3 + 2*g**2 + 1\/42*g**7 + 7\/24*g**4 + 0 - 7\/120*g**6. What is x in q(x) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5*y - 5. Let u = 2 - -4. Suppose 2*x = -2*h - u, 4*h = 3*x + 36 - 6. What is the units digit of k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**3 - 6*w - 4*w + 5488 - 5486 + (w + 2*w - 5*w)*(0*w**2 + 3*w**2 - w**2).\nAnswer: -12*w**3 - 10*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 plus 1.199?\nAnswer: -186.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 149*u**2 + 270*u - 2794. What is the hundreds digit of y(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 5*l + 1886. Let c be v(-41). Solve k = -3*k - 8, c = 3*u + k + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + t - 4. Let u(k) = -32*k + 88. Let q be u(2). Suppose 6*m + q = 36. Calculate z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13300 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -325. Let i = 540 - -32. Suppose 0 = -4*o + 2*o - 3*p + v, -i = -4*o + 4*p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*i - 20 = -m - 50*i - 4, 40 = 10*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-9)\/k)\/k**(2\/19))\/((((k\/k**(-2))\/k)\/k)\/k)**(-15\/2))\/((k\/(k*k**4*k))**(-1\/2))**(-3\/10) assuming k is positive.\nAnswer: k**(-711\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -206 + 2*(-3 + 2). Let q = -109 - b. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 6*y**2 + 7*y - 4. Let r be v(-3). Sort r, 2\/13, -1\/4, -8 in decreasing order.\nAnswer: r, 2\/13, -1\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*j*w**2 - 12367813*j*w - 10807*w**2 - 5*w - 215 wrt j?\nAnswer: -25*w**2 - 12367813*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/5 - 2994*q\/5 - 35496\/5.\nAnswer: -3*(q + 12)*(q + 986)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2603 + -54808706.\nAnswer: -54811309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbddddddddddddddd. Give prob of picking 4 d.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**5 + 300*j**4 + 945*j**3 + 20*j**2 - 1260*j = 0.\nAnswer: -2, 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 (base 11) in base 14?\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*i - 7*i + 106 - 342 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:43 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103044 divided by 6.\nAnswer: 17174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x + 11*x - 31*x in the form g + h*x and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 25. Let h = 19 + b. Sort 6, h, 5.\nAnswer: h, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 + 2*i + 11. Let x(k) = -3*k**2 + k + 5. Let d(w) = -4*o(w) + 9*x(w). Let u be d(2). What is the units digit of (u\/(-6))\/((-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364165 + 188672.1063\nAnswer: -175492.8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9*v**(-1\/10)*v*v**(2\/3)\/((v\/v**(-3))\/v) assuming v is positive.\nAnswer: v**(227\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -4 (c) 2.3 (d) -1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or -1128723?\nAnswer: -1128723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*w**3 - 477*j*w**2 + 2*j*w + 85*j + 29*w - 2 wrt w?\nAnswer: 6*j*w - 954*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + (48 - 16) - -52?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiiggigxbigii. Give prob of sequence gx.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s + 346. Let h be q(29). Sort h, 1\/21, 1, 2.\nAnswer: h, 1\/21, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayuyayybyaub. What is prob of picking 2 y?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 804960.5um?\nAnswer: 0.0008049605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31*1\/(-7))\/(5914\/(-82796)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 218236718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 7. Let u be m(5). Let z(g) = 4*g**2 - 4*g**2 + g + 1 - 4*g**u. Give z(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100001000001111 - 100?\nAnswer: -1000100001000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41761 divided by -30\nAnswer: -41761\/30","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 10087 - 9984. Solve 0 = 10*a - 173 + k for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*w + 3. Let g = -2 - w. Put -3, g, -1 in decreasing order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**3 + 6*k**3 - 5*k**3. Calculate g(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - 66*i**2 + 157*i - 24. List the prime factors of c(32).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397231, -397227, -397223, -397219, -397215, -397211?\nAnswer: -397207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13241 is divided by 64?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5\/180*-2)\/((-20)\/(-80))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2487291 decades?\nAnswer: 0.002487291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 248, 623, 1258, 2159, 3332, 4783?\n\"Answer: f**3 + 124*f**2 - 4*f + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 3. Suppose 0 = -5*l - 4*s - 4, 0 = -s - 1 - 0. Let y(a) = l + 6*a + 4 - 5*a. What is -7*h(i) + 6*y(i)?\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1782*g**2 - 4*g + 1358*g**2 + 1050*g**2)*(1 + 4 - 3) in the form l*g + o*g**2 + a and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 61*x**2 + 1544*x - 99585. Determine b(62).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44 and -0.4597?\nAnswer: 43.5403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 6) in base 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 37\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 294, 536, 754, 936, 1070, 1144?\n\"Answer: -2*q**3 + 256*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.684 - -1859243?\nAnswer: 1859256.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 773419 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81729727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*g**3 + 779*g**3 - 394*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19979703589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 136251 divided by 9\nAnswer: 15139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.14 - 0.14. Do 0 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/49077 and -80\/11193.\nAnswer: 638001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 6360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than -0.0071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - z**2 + 18*z**3 + 7*z**3 - 15 + 3 + 2 as q + n*z + k*z**3 + i*z**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 6:46 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 349306 and -0.11.\nAnswer: -38423.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/14722 and -79\/10.\nAnswer: 73610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 0.2. What is the third smallest value in f, 0.1, 1\/58?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + sqrt(3))*6)**2.\nAnswer: 144*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7133995146 to the power of 1\/2, to the nearest integer?\nAnswer: 84463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 15*h + 35)*(2*h**2 - 3*h**2 + 3*h**2 + (0*h - 3*h + h)*(2*h + h - 2*h) - h**2 + h**2 - h**2)*(2 - 3 - 4).\nAnswer: -75*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -78 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8291337 millennia in months?\nAnswer: 9949.6044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - 3.3. Let q = 20 - 21. Let v be 3 + 12\/(-4) + 0. Sort v, h, q.\nAnswer: h, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.59 + 71.89. Let y = k + -65.41. Round y to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 504, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4291, 8579, 12869, 17161, 21455, 25751?\n\"Answer: c**2 + 4285*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 199. Suppose -6*j = -p + 38. What is the remainder when 108 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)*b**6*b)\/(b**0\/(((b\/(b\/(b*b**(4\/9)*b)))\/b)\/b)))**(-40))**7 assuming b is positive.\nAnswer: b**(-16240\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4556 and 49044?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*196\/(-56))\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -26*q**3 + 13*q**2 + 529*q - 9. Let x(l) = 7*l**3 - 3*l**2 - 132*l + 2. Let s(z) = -4*i(z) - 18*x(z). What is the second derivative of s(p) wrt p?\nAnswer: -132*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59932 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 9:18 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 r when four letters picked without replacement from {f: 7, r: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53195 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/20 - 7*v**4\/12 + v. Let z(l) be the second derivative of l**5\/20 - l**4\/2 - 106*l + 1. Determine -6*x(k) + 7*z(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.160467609 and 61.\nAnswer: 60.839532391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22101030202 (base 4) to base 8.\nAnswer: 12211442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, c: 5, l: 8, s: 4}. What is prob of picking 1 s, 1 l, 1 c, and 1 t?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125\/660*4\/50?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 654392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211747*g**2*n*o**2 + 17833*g**2*n*o + 3*g**2*o**2 - 12*g*n wrt o?\nAnswer: -423494*g**2*n + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40730 + 5520 = 925*n for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-3 - -3) + 3 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.156, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 + 0*r**2 - 6*r + 5\/6*r**3 + 5\/12*r**4. Factor z(h).\nAnswer: 5*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1329*b**3*q + b**2*q**2 - 3*b - 108*q**2 wrt b.\nAnswer: 7974*b*q + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -9, 2, -22, -892.\nAnswer: -892, -77, -22, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-572)*2*(-121)\/33?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 776 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-24)*2 - (-205936)\/(-81984)?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -14. Let v(p) = p**2 + 11*p - 3. Let m be v(a). Let o = 8 + m. Solve -4*c = -3*x - 1, o*x - 6 - 2 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**4\/2 + 15*f**3\/2 + 6*f**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 903756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40064498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*m - 26 = 0, 2*l - 3*m + 27 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54, 56, 60, 66, 74?\n\"Answer: b**2 - b + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.7462.\nAnswer: -0.22386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*u - 8 + 47, -9 = 2*k + u. Let o = k - -9. Suppose 0 = 2*i + o*i - 165. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -348 - -347 - (11 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - d + 9 = 0, -17*n = -13*n - d - 7. Is n <= 5\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*m - 48200 = -10*m. Calculate the least common multiple of 8 and m.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 286 + 2630?\nAnswer: 3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, and 2 c when four letters picked without replacement from rcmflcfkr?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -d7?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 9. Let m be v(4). Let t = -20 + 14. Let f(y) = -y**3 - y**2 + y - 1. Let n(g) = -8*g**3 - 4*g**2 + 6*g - 6. Give m*n(j) + t*f(j).\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 3 - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 37086*j + 4311684.\nAnswer: 2*(j - 18426)*(j - 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171 + 171 - r**3 + 11*r**2 to y + b*r**3 + c*r**2 + f*r and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 52663 (base 7) to base 16\nAnswer: 32e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)\/(2\/6). Let t(o) = o**3 + 3*o**2. Let d = -55 - -52. Let g be t(d). Sort -5, g, n.\nAnswer: -5, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 3. Let s be z(-2). Let w(p) = 0 - 1 - s. Let q = -222049 + 222035. Let h(j) = -j**2 + j + 14. Calculate q*w(b) - 2*h(b).\nAnswer: 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*c - 80 = 0, -5*a - 4*c + 18 - 118 = 0. Let y be a\/(-12)*(-6)\/(-5). Solve 3 = -i - y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*u - 6896 + 65750 = 0. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 109*r**2 - 117*r - 763. Let i be n(-110). Solve 19*c - 12*c = -i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491852.\nAnswer: 2, 3, 17, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-35) - 1621\/(-5). Let t be ((-2)\/(-8))\/1*4. Let a be r - 3\/t - 1. What is a rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -18*f - 63. Let i be y(-5). Suppose -26*o = -i*o + 4. Solve r - o = 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-18)\/8) + (-91968)\/864 + 92?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4277547.\nAnswer: 3, 475283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -18*w**4 - 1236*w**3 - 11552*w**2 - 24384*w - 14848 = 0.\nAnswer: -58, -8, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/342 and -101\/10.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*t + 14. Let i = t + -2. Suppose -2*s - 3*a = s - 12, 3*s = -i*a + 16. Solve s*w + 4*n - 9 = 3*w, n + 14 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 87811?\nAnswer: 263433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 - 10 = 0. Solve -10 - 15 = c*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 10*x. Let w be r(8). Suppose -5*q + 2*l + 72 = 0, 2*q = -l + 20 + w. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -880 - -886. What is the least common multiple of 1282 and x?\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3034 - 9*g**2 - 6039 + 3065 + (-3*g + g + 3*g)*(2*g - 2*g - g).\nAnswer: -10*g**2 + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 2144?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12255880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -70, -107, -144?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 391?\nAnswer: -6\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x = -65*x - 28. Let t be -2 + 1\/2*10. Suppose x*v = v + t. Put 5, -2, v in descending order.\nAnswer: 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k**2 + 4*k - 2. Calculate z(-2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m - 12. Let t(a) = -a**3 - 2*a**2 + 5*a + 4. Let c be t(m). Is 138\/4 + c\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-6)\/(-48)). What is q in -q**4 + t - 3 + 2*q**3 + 0 - 2*q = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*n + 10, a + 26*n = 22*n + 22. Let v be a\/9 + 8\/(-18). Factor -1\/9*x + 0 + 0*x**3 - v*x**4 + 2\/9*x**2 + 1\/9*x**5.\nAnswer: x*(x - 1)**3*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 295\/3 + -94. Calculate the common denominator of o and 133\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/9 and -20\/2976273.\nAnswer: 2976273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - 9?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.69187 + 15.30809. Let z = 31 - b. Round z to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8149 + 1.6.\nAnswer: -8147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -18, -16683, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/5704722 and -123\/21128600.\nAnswer: 570472200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139095348*z**4 + 70*z**2 + 2*z - 34186?\nAnswer: 3338288352*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a22 (base 13) in base 14?\nAnswer: 8aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -1*2*sqrt(77))\/(sqrt(343)*1 + sqrt(343)))**2 - (-1*sqrt(99)*-6)\/(sqrt(90)\/sqrt(250)).\nAnswer: -30*sqrt(11) + 11\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5 + 60. Suppose 9*t - s*t = -16. Solve -2*n = t, -5*q = -q + 2*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 24*k = -440. Put -2, k, 0 in decreasing order.\nAnswer: k, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 804\/3015*11\/14 and 85\/6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -4*(2 + sqrt(1053) - sqrt(1053)))*-4)**2 + -1.\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*u - 392*u + 72*u**3 - 2 - u**2.\nAnswer: 72*u**3 - u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 - 5*w**3 + 10 - 3*w**4 - 11 + 0*w**4 + w**4 to s*w**4 + t + p*w**2 + l*w**3 + m*w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -5237\nAnswer: 26185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 14) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18556, -37066, -55570, -74068, -92560, -111046?\n\"Answer: 3*q**2 - 18519*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11569 + -11569.06461. Round x to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/(-3) + 2)\/(3\/(-9)). Let c(s) be the third derivative of -s**4\/6 + 17*s**3\/3 + 33*s**2. Let r be c(n). Solve 5*q - r = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -14. Let o(u) = u**2 + 7*u - 5. What is o(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*c - 5*v, -10*v + v = 2*c - 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -123, -4, -176 in descending order.\nAnswer: 4, -4, -123, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*f + 33 + 42 = 146*f. Let a(l) = -l**2 - 26*l - 30. Calculate a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/154*-1). Let d = f - 67. Suppose 0 = 2*k + 5*s - 23, d*k = 5*k + 3*s + 11. What is the remainder when 22 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 1421?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -z + 27, 3*a - 34*z + 21 = -35*z. Let v(l) = -4 + 5*l**2 - 10*l - 4*l**2 - 12. What is the units digit of v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/4 + 4*m**3\/3 - 7*m**2\/2 - 6*m - 61. Let d be b(-5). Solve -8 = d*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*f + 21, 3*m = -0*f - 3*f. Let j(y) = 2*y**2 + 3. Let w(u) = -2*u**2 - 4. Determine m*w(x) + 4*j(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/252*6 + (-874)\/(-21). Let r = t - 290\/7. Which is the smallest value? (a) -2 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 66 = -2*l, 3*l - 39*o + 37*o = 114. What is the greatest common factor of l and 1806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -381816227 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -70\/13, 4, -1\/5, 145, -1?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:52 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/72)\/((-5)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/5, 1\/32, 0.2 in descending order.\nAnswer: 0.2, 1\/32, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d76a - 0?\nAnswer: 2d76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -2653*h**4\/6 + 7295*h**2\/2 - 43*h + 6. Differentiate o(q) wrt q.\nAnswer: -10612*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -24, -88, -188, -330, -520?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a13 + 2090?\nAnswer: 147b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 g when four letters picked without replacement from lygfyfrl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one fifths of a decade?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -21*j. Let o(r) = -18*r. Give l(o(k)).\nAnswer: 378*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus -3838838?\nAnswer: -3838854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928.758474ms to weeks.\nAnswer: 0.000001535645625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.75? (a) 4 (b) 1 (c) -0.1 (d) -0.5 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (0 - 2)) + 4. Suppose 5*j - j = -5*h - 23, -3*h = 5*j + 19. Let v = m + h. Sort 4, -4, v.\nAnswer: -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -105*i**3 + 22*i**2 + 47*i + 8. Calculate q(-2).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 140\/3 (b) -2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19896126 to the power of 1\/2, to the nearest integer?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*d - 78 = 70, 3*q = 4*d - 112. Let m = 32 + q. Solve c = -m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 942586 by -2.\nAnswer: -471293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551766.\nAnswer: 2, 3, 91961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 6\/173, -1 in descending order.\nAnswer: 6\/173, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*g + 21, 5*w = 14*g - 10*g - 27. Suppose 5*a = -0*a - 5. Let r = a - 4. Put r, -8, w in increasing order.\nAnswer: -8, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2103785*c - 12622706. What is m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + (-46)\/8. Let v(g) = g. Let r(h) = -3*h + 232 - 232. Let c(t) = z*r(t) - 17*v(t). Let q(f) = -9*f**2. Calculate q(c(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 629478080 a multiple of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/4 - 6\/4. Suppose 2*w = r + v, -2*r - 3*r = -2*w + 19. Solve -j = 3*b + 2*j, -5*j = -w*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 75864 = -53890. Let a = s + 452428\/7. Let j = a + 244. What is the second biggest value in j, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 360\/10 + (2 - 0). Solve -26*j - 12 = -y*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -32*s + 8. Let a(g) = 11*g - 3. Let z(j) = 8*a(j) + 3*o(j). Let b(m) = 4*m. Determine b(z(k)).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1154 + -1151. Suppose -5 - 10 = -5*l. Solve -2*z - l*h + 0 = -k, -3*z + 2*h = 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrrrrrorrrrr?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(80)*-2)**2 + (sqrt(80) - (sqrt(80) + 1)*3))*1 + 5 + ((sqrt(80) + 1 + -2*sqrt(80))*3)**2)*2.\nAnswer: -1738 - 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024028 to 6 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32498524 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33355784, 33355794, 33355806, 33355820, 33355836, 33355854, 33355874?\nAnswer: 33355896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = 5*v. Let r = -20 + 21. What is the lowest common multiple of v and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + (7 + -4 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/8 + m**3\/6 - m**2. Let j be (-1 - 2\/(-2))\/(-2). Let p be j + 2 + (-2 - 2). What is w(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261782 = -33*u + 2442917. Is u a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273088?\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let i = b + -1. Let t(w) = -6 - 2*w**2 + 1 - 2*w**i + 2*w. Let x(o) = 7*o**2 - 4*o + 9. What is -11*t(n) - 6*x(n)?\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*v + 196 + 56, 0 = 4*v + 3*f - 238. Suppose -g - 4 = -2*g, 5*p - 4*g = 89. Calculate the remainder when v is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, -32, -3, -4, -17 in decreasing order.\nAnswer: 24, -1, -3, -4, -17, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5)*r)\/r**(-5\/9))**(-17) assuming r is positive.\nAnswer: r**(-884\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23358 is divided by 5961?\nAnswer: 5475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {n: 15, c: 3, v: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -31. Suppose -5*o - 4*k + 68 - 26 = 0, -5*o = -h*k - 15. Suppose -4*f + 4*j + 24 = 0, -f - j = 2*j - o. Solve -4*x - f = -6*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -11256244?\nAnswer: -11256241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 4) in base 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73448617 rounded to 4 dps?\nAnswer: 0.7345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 5*h**2 + 2*h - 5. Let w be s(5). Let j(p) = -p**2 + 7*p - 9. Suppose 4*i + 10 = 18. Let q be j(i). Sort q, 12, w.\nAnswer: q, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159454786 minus 14.973?\nAnswer: -159454800.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755313.\nAnswer: 3, 41, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a0cb2 (base 13) in base 16?\nAnswer: 2c0cb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4426)\/(-7))\/((-24)\/(-56)). Let p = 1458 - t. Calculate the common denominator of 37*5\/(-99) + 28\/(-126) and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-46354)\/(-1323) + -35).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 47*i**2 + 35*i + 19. Let c(m) = -16*m**2 - 12*m - 7. Let y(l) = 17*c(l) + 6*n(l). Let q(s) = 21*s**2 + 13*s - 11. Calculate -6*q(t) + 13*y(t).\nAnswer: 4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:29 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 7*q - 9. Suppose -3*r = -r - 4. Suppose 3*t + 5*b - 3*b + 7 = 0, 3*b + 15 = 0. Let d(k) = -t + 4 + 1 + 3*k - k**3. What is r*x(j) + 5*d(j)?\nAnswer: -j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 230480\/40 + 36\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + (10 - ((8 + 10 - 54) + 16)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a + 3*a = 28566. Calculate the highest common divisor of a and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37.8 >= -5969.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*d + d + 47, 0 = -d - j + 2 - 37 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327275 and 17575?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*f - 1, 2*n + 3*n - 3*f - 51 = 0. Is 7 a factor of ((-24)\/n)\/((-6)\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5864 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2. Let d(j) = -7642*j**2. Determine x(d(m)).\nAnswer: -233600656*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14517 + -14476. Sort -5, 2, o, -3, 1.\nAnswer: -5, -3, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {h: 6, a: 4, u: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 (base 8) in base 12?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, -40, -178, -444, -880, -1528, -2430?\n\"Answer: -7*i**3 - i**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -34*u**2 + 2*u + 1. Give g(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6. Let b(d) = -d - 7. Let z(y) = 5*b(y) + 6*h(y). Let o(g) = 17*g + 4. Let r(t) = 16*t + 3. Let x(w) = -5*o(w) + 6*r(w). Give -3*x(v) - 7*z(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -273 and 0.14.\nAnswer: -38.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102288*u**5 - 96*u**2 - 242656*u wrt u?\nAnswer: 2045760*u**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1. Let t(b) = 2*b**2 - 2*b + 1. Let g(a) = -6*o(a) + t(a). Let s be 9 - (0 + -3)*-1. Is g(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Suppose 9*u - 425 = s*u. Suppose -3*j + u = 2*j. Calculate the highest common divisor of 136 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -716*t**3 - 7*t + 10*t**2 + 719*t**3 - 189 + 11*t**2 - 20*t.\nAnswer: 3*(t - 3)*(t + 3)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 2. Let i(g) = 25*g**2 - 17. Calculate -6*i(l) + 51*u(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 + 4*u**2 - u**2 - 9*u + 12*u = 0. What is u?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778330472.\nAnswer: 2, 97291309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25578 and 265678?\nAnswer: 69341958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11930 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -71. What is the highest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -10. Suppose b - 20 - 120 = -3*l, 4*l + q*b = 194. Suppose -4*w - 14 = -l. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a - 18 = 4*s, -4*a - 4*s + 12 = 0. Suppose -22 = -2*r + a. Let v = -16 + 20. Solve 4*q + 5*h = -33, -2*q + v*h + r = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 21*l**2 - 32*l + 120. Let s be a(-19). Put -2, -28, s in descending order.\nAnswer: s, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -19 + 35 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45165 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**2\/7 - 14460*a\/7 + 2676096\/7.\nAnswer: 6*(a - 2208)*(a - 202)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i**3 - i**2 - i**3 + 1 + 2*i**3 - i. What is the units digit of f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.365 + -0.035. Let m = -8.6 + l. Suppose h + 2*g = 9, -3*g = 4*h + g - 16. Which is the third smallest value? (a) 0 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -2.7. What is the third biggest value in -2\/11, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/16777 and 24.\nAnswer: 16777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - u**3 + 4*u**2 - 4*u - u**2 - 4*u**4 + u**4 to a*u**4 + w + f*u**2 + r*u + p*u**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + m + 15, 5*i - m + 17 = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-8) - 2\/(8\/(-58)). What is the highest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*z = -0 + 1, 5*m = 3*z. Factor -4 - 2*j**4 - 8*j + 5*j**m + 0*j**2 + 2*j**2 + j**2.\nAnswer: -(j - 2)**2*(j + 1)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 9)*(27 - 5746\/208). Solve -44*z = -n*z + 117 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 5*i**2 - i + 6. Let p(n) = n**3 + 13*n**2 + 12*n - 7. Let a be p(-12). Let b be o(a). Let f be (-46)\/b*(-5)\/43. Are f and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 939713135 to the nearest integer?\nAnswer: 30655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 120241.359.\nAnswer: 601206.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vlmvvvl.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 4*q**2 + q - 2. Let w(z) = 2*z + 6. What is the lowest common multiple of d(4) and w(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 + 11*q**2 + 8*q - 5. Let n(g) = 4*g**3 + 10*g**2 + 7*g - 5. Let j(t) = 3*c(t) - 4*n(t). Let r be 6*(1 + -2)*1. What is j(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**2 - 105*g + 105*g.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*3*sqrt(65) - sqrt(65))\/(sqrt(45)\/(sqrt(54)\/sqrt(6))))**2*-2.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28011717 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 484*u**2 + 68*u**2 + 0.\nAnswer: 552*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Suppose 4 = 2*y + 2*q, -2*y - f*q + 12 = -5*q. Solve 9 + 7 = -y*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*i - 27 + 182 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*d - 56, -20*p - 14*d + 9*d = -10*d - 130 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12083954.12 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.3 - -15. Let s = o - -1.3. Is 0 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35.3 or 455\/2?\nAnswer: 35.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*g + 4*v - 8 = 0, -2*v = 2*g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/55 + -137\/495. Let d = 0.08 + 0.22. What is the second smallest value in d, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -326550246 + 2?\nAnswer: -326550244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*r - 3. Let q(d) = d**2 + 2*d - 3. Let s be q(r). Solve o + 2*o - 3 = s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 + 8 - -21) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -556 - -550. Sort x, 3, 12, 5 in descending order.\nAnswer: 12, 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + t + 32. Let k be q(-5). Solve 5 + 5 = k*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 8) + (8 - 14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w + 4. Let u(h) = -4*h - 113. Suppose -10*o = -10 + 300. Let i be u(o). Give b(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - y + 4)*(2*y**3 - y + y) + 0*y**2 - y**4 + 0*y**2 - 118984*y + 1093*y**4 + 118984*y.\nAnswer: 1090*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/3696 and -131\/84?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2478 + 9975. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12657*z**2 - 6321*z**2 - 6292*z**2.\nAnswer: 44*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose 0 = -q*a + 218 + 142. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.219 + 0.119. Let j = -233 - -239. Which is the nearest to t? (a) j (b) 0.7 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/2 + v**3 - v**2\/2 + 11*v + 148. What is the units digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1737 - 86*u + 1737 as g*u + c and give g.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*v - 5*v - 5*v)*(1 + v - 1) + (-v + v + v)*(4*v + v - 3*v) - 841 + 165*v**2 + 841 as s*v**2 + l + k*v and give s.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(0 + (8 - 3)) + 2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 804 - 148 = 0. Calculate the remainder when m is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v - 15. Let p(x) = -5*x - 8. Let r(g) = 3*m(g) - 5*p(g). What is the tens digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-20) + 70\/(-8). Let g be t\/(((-27)\/(-78))\/(-3)). Suppose -50 = -5*l - 3*u, -l + 19 = -3*u - 9. What is the greatest common divisor of l and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3034, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 7 - 2 - 4 + 5. Let y be q(-5). Suppose 4 = 5*f - z - 39, 33 = 3*f - 3*z. Solve 4*t = y*c + 12, 0*c + 2*c = -f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16149 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13853203686 - -199236775334603\/14382. Let g = -177\/133 + 141024\/106267. Let c = g + q. Calculate the common denominator of c and -59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/11 + -1 - 2\/(-2). Let d(r) = r**2 + 17*r - 15. Let o be d(-18). Factor -2*l**2 + 8\/11 - 60\/11*l**o + 50\/11*l**4 + c*l.\nAnswer: 2*(l - 1)**2*(5*l + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = -4*l, 17 = -q - 5*l. Find the common denominator of 3\/22 and q\/4*(-7)\/14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.334 in -8\/5, 0.5, -3, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.9, -0.05, 0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 32*u + 132. Give y(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -200. Let i = -185 - u. Let j = 32 - 18. Which is the closest to j? (a) 3 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/20584763 and -17\/27769?\nAnswer: 144093341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 146.607 times 0.014\nAnswer: 2.052498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q**2 - 3*q - 1. Give d(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -5*t**4\/12 + 2*t**2. Let m(o) = -2*o**2 - 6*o**2 + 9*o**2. Determine m(z(g)).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -237716\nAnswer: 21\/118858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 1. Is 0.2 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*j - 7697 + 48*j + 7697 as m*j + b and give m.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2040 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**2 + 3*t + 5. Suppose 4*n = -5*c, 0*n + 19 = 3*n - c. Let g be (-6)\/3 + n - 8. Let s(l) = 8*l**2 + 4*l + 6. What is g*s(a) + 6*r(a)?\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 920*f + 4700*f - 59*f + 1146*f in the form r + u*f and give u.\nAnswer: 6707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -252, -273, -330, -435, -600?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6 and 556\/144 + 2\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 6675647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43.7 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72.21 and 28350.\nAnswer: 28422.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6152 (base 8) to base 13.\nAnswer: -15a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(8) + sqrt(10)\/(sqrt(25)\/sqrt(5)).\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2386742 or 16707202\/7?\nAnswer: 16707202\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5\/2 + 1653*b**4\/2 - 1645*b**3\/2 - 11565*b**2\/2 + 823*b + 4956 = 0.\nAnswer: -2, -1, 1, 3, 1652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**4 + 320*n**3 + 9389?\nAnswer: -4*n**3 + 960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5313 + 42449\/8. Calculate the common denominator of 59\/16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x - 34*x + 35328 = 0. What is the greatest common divisor of 168 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5\/2, 0.05 in descending order.\nAnswer: 5\/2, 0.05, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12027 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 3708?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j + 95216 = -41*j. What are the prime factors of j?\nAnswer: 2, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 5\/42*d**7 + 1\/2*d**5 - 1\/2*d**6 + 19*d + 0*d**2 + 0 + 0*d**4 + 0*d**3. Factor m(n).\nAnswer: 5*n**3*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*r + l, -r - 9*l - 16 = -6*l. Let t(c) = -2*c**2 - c + 39. Let d(m) = m**2 + m - 19. Let j(v) = 9*d(v) + 4*t(v). Give j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21260159*c**3 + 2*c**2 + 4320149.\nAnswer: -63780477*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**0*w))\/(w**(1\/3)*w)*(w**(-2)\/w*w)\/w*((w**(-2)\/w)\/w*w)\/w)\/((w\/w**(1\/9))\/w**(1\/2)*(w\/(w\/(w**0*w)))**(-16\/5)) assuming w is positive.\nAnswer: w**(-497\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10618, -10617, -10616, -10615, -10614?\n\"Answer: j - 10619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*t - 3 = 0, -2*t + 5 = -2*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/45 - (-16)\/(-120). Which is the closest to g? (a) 0.3 (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 315b4?\nAnswer: 315b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 18001 - 18003 + 172*t + 25*t + 33*t.\nAnswer: 217*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 192.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4675283302 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1183 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ochobomowwow. Give prob of sequence owm.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3961485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o + 2, 3*u - 2*o - 23 = 0. Let x be 26*-6*2\/(-24). Suppose -x = -4*c - 1. What is the remainder when u is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2014 + 2023. Solve -19*f + 16*f = -z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2. Let d(i) be the first derivative of -44*i**3\/3 - i + 6999. Give d(u(f)).\nAnswer: -3564*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5958 - -47597\/8. Calculate the common denominator of -97\/1026 and p.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -81.2, -2820, 2 in increasing order.\nAnswer: -2820, -81.2, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -508768 - -4?\nAnswer: -508764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -9. Let h = -22 - -43\/2. Which is the nearest to -0.1? (a) -0.4 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05513084 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*q**3 - 77*q**3 + 6*q**4 + 2*q**4 + 43*q**3 + 5*q**2 + 2*q - 4*q**2 as n*q**3 + z + r*q + u*q**4 + m*q**2 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0, 23, -0.3, 3\/4, 116?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*l - 279558 = 366*l - 1756*l - 1302*l for l.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 75404*d - 354125880.\nAnswer: -4*(d + 8870)*(d + 9981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and -53\/798.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613870096.\nAnswer: 2, 7, 5480983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 22*z**2 - 84*z - 11. Let f(k) = 49*k**2 - 169*k - 23. Let g(l) = -3*f(l) + 7*n(l). Determine g(11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -854 + 857 - (2 - (1 + 2 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29834264, -59668530, -89502796, -119337062, -149171328, -179005594?\n\"Answer: -29834266*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-4))\/((-9)\/18). Let a be 2*(-4)\/((-24)\/r). What is the units digit of a\/12 + 686\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6380 = -562*c + 678*c for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72 - 1 - -121) + 20?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10812969 divided by 1201441.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/72 and 101\/756.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 1\/3, 2, 10\/3, 1.8.\nAnswer: 1\/3, 1.8, 2, 10\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 1 + 23*j to the form f + g*j and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22330\/(-440) - -49)\/((-1)\/(-72))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/11)*t*t**(-4)*t)\/(t*(((t*t*t**3\/t)\/t)\/t)\/t*t*t**(-2\/7)\/t*t) assuming t is positive.\nAnswer: t**(-335\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6616825 years to months.\nAnswer: 7.94019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*h - 5, 2*t + 40 = 5*h + 35 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240546*d**6 + 6622*d**2 + d - 2 wrt d?\nAnswer: -28865520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*s = 13 + 17, 0 = 8*s - 48 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/60 and 27\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - 3) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Suppose -5 + 50 = c*p. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-3 + (3 + 0 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*y - 90. Suppose k + 70 = -0*q - 4*q, -3*k = -6. Let l be q\/(-4)*462\/9. Calculate the highest common divisor of l and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -197 - 6c90?\nAnswer: -6e27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 5*s**2 - 8. Let t be (-8)\/(4\/((-2)\/2) + 2). Calculate the remainder when m(t) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21528 is divided by 21515.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20 - 0)\/((-1)\/(-4)). What is the highest common divisor of 32 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 5. Let z = k - -11. What is the smallest value in z, -1\/3, 2\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 17. What is g(-8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pps when three letters picked without replacement from {p: 3, z: 8, q: 4, s: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 925 in 3, -0.1, 2, 1\/34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/15 (b) -1.598 (c) 1\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 12*t**2 + 5*t - 18. Suppose -11*u = -18*u - 49. Is 8 a factor of r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -195*v - 2778 - 276*v - 2310 + 523 - 1175*v wrt v.\nAnswer: -1646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/143 - -320\/2431. Which is the closest to 2? (a) -14 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -57, -10, 0, -3, 17 in descending order.\nAnswer: 17, 3, 0, -3, -10, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -107?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**6\/180 + 19*z**3\/3 - 13. Let f(y) be the third derivative of p(y). Let q(t) = 11*t. Calculate f(q(l)).\nAnswer: 242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/10)*l**10*l*(l**6\/l)**(-31) assuming l is positive.\nAnswer: l**(-1439\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -617*h**2 + 70*h + 68*h - 138*h to the form y + d*h + m*h**2 and give m.\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + -6622518?\nAnswer: -6622536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(11) - 4*(sqrt(11) + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/1079 - 170\/1079. What is the nearest to 0 in 0.1, 1\/8, s, -0.11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 99*c**2 + 60*c + 222. Let s be b(-5). What is the greatest common factor of s and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**2 - 2*h + 71. Let r(f) = -4*f**2 + f - 35. Let g(b) = 3*k(b) + 5*r(b). Let l be g(0). Suppose 3*u - 8 = -l. Sort u, 1, 2 in descending order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/3 - b**3 - 2*b**2 - 43*b. Suppose f(v) = 0. Calculate v.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -400, 0.1, -12161?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**2 - 2*c**3 - 8*c**2 - 12*c**2 - 11*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681925178 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)\/g)\/(g\/(g**(-4\/5)\/g*g)))**(-2\/9)\/((g**(1\/4)\/g**(-2))\/((g\/g**(-1\/2))\/g)**32) assuming g is positive.\nAnswer: g**(2567\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 - 129. What is the least common multiple of g and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-63))\/(6\/7). Are -1 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + 0*b)*(b - 222 + 502 - 248).\nAnswer: -3*b**2 - 96*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 261546709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*g**4 - 4*g**3 - 2841*g**2 wrt g?\nAnswer: -744*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, u: 9}. What is prob of picking 1 u and 3 a?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -47. Let p be (15\/6)\/(1 - a\/8). Solve 0 = -0*h - p*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (-4 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40058129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1360*a + 107700 = -826*a + 1261*a for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**3 + 58*s**3 + 0*s**2 + 0*s**2 - 107*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 26*r**3\/3 + 39*r**2 + 140*r - 1. What is the remainder when 250 is divided by a(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*(2 + 0 - 4 + 0 + 2 - 4 + (-6 + 4 + 0)*(0 + 1 - 2) + 0 - 1 + 0 - 2 + 2 + 1 + 5 - 5 - 2)*(3*g - 4*g - 164 + 122).\nAnswer: 16*g + 672","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/10)\/(3\/(-234))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254479776.76631 take away 6?\nAnswer: -1254479782.76631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u. Let a be u\/((-2)\/(0 - 1)). Let b(h) = 4*h - 3*h + a*h + h. Let x(t) = 4*t. Determine x(b(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 j, and 1 r when three letters picked without replacement from rmfjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-2 + 6\/2). Solve -v = 3*v + 3*f - 6, 5*v - a = -3*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/(-928)*24)\/((-3)\/5)*(-2)\/14?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1547 and 8687.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -16*k + 737. Give j(41).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -154?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 8) + -22 - -6 - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Suppose -8 = 3*l + l - q, -2*q + 1 = -j*l. Let c(z) = -z**3 - 2*z**2 + 4*z + 4. What is c(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 163*p**2 - 2. Let k(x) = 2*x**2 - 3. Calculate a(g) - k(g).\nAnswer: 161*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 2 d when four letters picked without replacement from {m: 1, t: 1, v: 8, w: 5, d: 2}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/(-448))\/((-1)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -59. Let s = -15 - z. Calculate the highest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (-166 - (-38 - 75))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -60. Let h = -4 + 20. Suppose -4*o = -h - 0. What is the third smallest value in 2\/9, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186290 and 3250.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2909 and -5.539?\nAnswer: 2914.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019899215 to 7 decimal places.\nAnswer: -0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2518370 by 3547.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 37440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1723651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -10. Let w be (-4)\/14 + 45\/84. Which is the nearest to -2\/3? (a) x (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + -2) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 42. Suppose 2*l + 3*x = 8, -4*l + 5*x = -0*l - 16. Suppose 0 = a + 2*a + 3. Sort l, j, a.\nAnswer: j, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(832) + 2)*-5.\nAnswer: 10 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63096192 and 1728.\nAnswer: 63096192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -243cd2a (base 14) to base 10\nAnswer: -17361130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820362503 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11193\/11 + -1015. Calculate the common denominator of 41\/331 and r.\nAnswer: 3641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*k - 5*v + 11, 2*k + 24 = -5*v + 2 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/5)\/(4\/(-2) - -5). Solve -t = -4*u + k - 5, u - 3*k + 12 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + h**2 - 7*h + 7. Calculate k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15)*-5)\/((-1)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -144857637.\nAnswer: -144857637.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*16\/(-336)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1279 in -2, -0.09, 2\/21?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/8 of a micrometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 - 3 - (2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -66.5. Suppose 4*g + 5*t - 68 = 5*g, 197 = -4*g - 5*t. Let a = -54 - g. Put j, 1, 1\/6, a in descending order.\nAnswer: 1, j, 1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**5 + t**3 + 2*t**2 + t - 2. Let n(o) = 5*o**5 - 53*o**4 - 169*o**3 - 175*o**2 - 60*o + 8. Let h(s) = -5*n(s) - 20*x(s). What is i in h(i) = 0?\nAnswer: -1, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d + 8*d**3 + 70*d - 29*d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/482 smaller than -0.041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*d - 40 = 5*m + 939*d + 20, 8 = -4*d for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (sqrt(96)\/sqrt(2) + 0)**2) + 3*(-2*sqrt(48) - -3*(sqrt(3) + (sqrt(3) - (2 + sqrt(3)))**2)) + -4.\nAnswer: -11*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*i**4 + 2604*i + 0*i**4 - 14*i**5 - 264*i**3 - 2604*i - 7*i**4.\nAnswer: -2*i**3*(i + 6)*(7*i + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(10\/21)*70720\/(-12376).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.1 minus -6747.571?\nAnswer: 7319.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + m = 5*m + 82, -37 = 2*p + 3*m. Let n = -28 - p. Let i be 1 - 3*n\/(-30). Which is the second smallest value? (a) i (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -6 + -60)*(1 - 2). Let z = 22 + j. Suppose 6*c + z = 11*c. Calculate the remainder when 50 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2448 and -151\/393210?\nAnswer: 3145680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16*w**2 - 107*w**2 + 132*w**2.\nAnswer: 9*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1096134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 2, f: 1, y: 2}. What is prob of sequence zf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(78\/1) - -1. Let l = 17\/3 - 11\/2. Factor -v - l*y**2 + 5\/6*y.\nAnswer: -(y - 4)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3117732, 3117733, 3117732, 3117729, 3117724, 3117717, 3117708?\nAnswer: 3117697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8182 or 24550\/3?\nAnswer: 24550\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -8)*(-29652)\/56. Let v = g + -2575. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 29*c**4\/24 + 65*c**3\/6 + c**2 + 27. Differentiate t(i) wrt i.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -4, 5, 4, -7, -2, -24 in descending order.\nAnswer: 5, 4, -2, -4, -7, -24, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z + 26*z - 234 = -124*z. Solve 2*i - c + 5 = 0, 6 = -3*i + c - z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85172 divided by 4.\nAnswer: 21293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372663871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.1 (c) -0.1 (d) 3\/13307\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-40)\/(-64)*(0 - -2). What is the closest to -1 in -0.9, 0, c?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38835698.\nAnswer: 2, 11, 29, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 229 * -8\nAnswer: -1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.9 + -18.984. Let b = 0.116 - o. What is the fourth smallest value in b, 1\/6, 0, 0.035?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 295, 528, 753, 970, 1179, 1380?\n\"Answer: -4*t**2 + 245*t + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 506330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573779 is divided by 254?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-160)\/(-90) - 2\/(-9). Find the second derivative of 0 + 0 + v*s + s**2 - 3*s wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 623052 + -168?\nAnswer: 622aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3122 + -4121?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x - 1. Let g be b(-2). Let h = 6 - g. Solve 0 = -h*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 4796462560.935.\nAnswer: -4796462564.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1890015951 + -1890015950.8198163677. Let l = z + -197.1801919323. Let d = 197 + l. What is d rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 3*v**2 + v**2)*((-9 + 9 - 6*v)*(6 + 0 - 5) - 6*v + 10*v - 13*v + (0 - 2 - 1)*(-3*v + v + 0*v) - 8*v + 5*v + 8*v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*y + 65 - 51 = 0, 5*t + 2*y = 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 2)*(-10)\/(-4). Let r = 479.07 + -476. Let u = 0.93 + r. What is the closest to u in 2\/3, z, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 5. Suppose 0*a - t = 5*a - 29, -4*a + 12 = -2*t. Suppose a*s + 19 + 16 = 5*z, 5*s = 2*z - 29. Calculate w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3780773, 3780780, 3780787, 3780794, 3780801?\nAnswer: 3780808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.088 less than 1731.51454?\nAnswer: 1731.60254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(3))**2 + 0.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101010010001110000 (base 2) to base 3\nAnswer: -22210112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20.3 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2044 - 2025 = u + 2*p, 218 = 17*u - p for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19332 + -19321.371. Let k = -0.029 + u. Let m = 10.6047 - k. What is m rounded to 4 dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-9 - -4) + 14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**4\/12 - d**3\/2 - 29*d + 3. Let n = 3 + 0. Determine g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8498, -14158, -23590, -36794, -53770, -74518?\n\"Answer: -1886*k**2 - 2*k - 6610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -209\/84840 and 187\/630.\nAnswer: 254520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 + 0. Let f = 1513\/18 + -725\/9. Which is the smallest value? (a) f (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32 + 234*f - 488 + 56 - 285 + 5*f wrt f.\nAnswer: 239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52804 - 529039\/10. Is -101 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-4 - -2)) + -83 + 89.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {z: 3, t: 2, y: 1, u: 2, i: 2, k: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-12)*13\/(-52). Let x(c) be the first derivative of 4 - c**4 - f*c**3 + 2*c + 2*c**2. Factor x(g).\nAnswer: -2*(g - 1)*(g + 1)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*y**3 + 1118*y**2 + 2*y - 552067 wrt y.\nAnswer: 363*y**2 + 2236*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -94 (b) -0.166 (c) -4\/7 (d) -0.4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 6*g - 3. Let x be n(7). Suppose 5*u - 7191 = 2*u + 2*q, 0 = x*u + 2*q - 9574. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3)\/(2\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2 + 9 - 12 + k**3 - 2*k**2 + 2*k. Determine w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10c + -8b3b?\nAnswer: -8a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1462 divided by -59776\nAnswer: -731\/29888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -2\/7, -1224, 10, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476107 is divided by 1852?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/8*(2200\/99 - 20 - 8).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(405)*-2*5 + -5)**2 + 1 + -4.\nAnswer: 900*sqrt(5) + 40519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23175?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238.4 + -9137.372421?\nAnswer: -6898.972421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 13. Let v be (-605)\/(-99) - (-2)\/g. Solve -h - v = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000096353191 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:19 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + 5*5*(2 + sqrt(99) + (sqrt(99) - (sqrt(99) + -4)) + sqrt(99) + sqrt(99))*-1)**2)*-2.\nAnswer: -1160570 - 137700*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnuu when four letters picked without replacement from {n: 1, r: 2, u: 2, b: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -182*v*w**3*y + 2*v*w**3 + 19*v*y - w**3 + 12707*w**2*y + 3*y with respect to v.\nAnswer: -182*w**3*y + 2*w**3 + 19*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 2*j - f, 743*f - 295 = 5*j + 767*f for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2183338 > -28383412\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.96354 years in centuries?\nAnswer: 0.0196354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75366390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*f = 1894, 0 = -2*v + 5*f - 697 - 257. Let k be -2 - -2 - (2 - 941). Let t = v + k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11776 + 11772. Let j = 0.18 - -0.02. Let a = 0 - j. Put 1, a, y in ascending order.\nAnswer: y, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2072 and 4736?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 5*f**2\/2 + 8*f + 9. Give p(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 2145?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0 + (0 - 1 + 3)*(2 - 2 + 2))*(269016 - 1345*g - 269016).\nAnswer: -4035*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10373 - 23*f - 10373)*(-3 - 1 + 3 + (0 + 0 + 5 + 2 - 1 + 1 + (4 - 2 + 0)*(-3 + 3 - 1))*(-4 - 3 + 5)).\nAnswer: 253*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.96193 weeks in microseconds?\nAnswer: 1186575264000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-35 - -70) - -16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -559168 + 4?\nAnswer: -559164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40650 and 8130.\nAnswer: 40650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1996*y**3 - y**2 + 0*y**2 + y**2 - 2242*y**3.\nAnswer: -246*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1589 + 3334 - 1745 + 56*g**3.\nAnswer: 56*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3906.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 25*h**3 - 6*h**2 + 8*h - 23. Let t(m) = 8*m**3 - 2*m**2 + 3*m - 8. Let d(a) = -6*j(a) + 17*t(a). Does 9 divide d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (420*x + 1097 - 1097)*(-x**3 + x**3 - 2*x**3).\nAnswer: -840*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32629503 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*i**3*w**2*z**2 - 2*i**3*w*z**2 + 2*i**2*w**2*z + 2*i*w**2*z + 88*w*z**2 wrt i?\nAnswer: 228*w**2*z**2 - 12*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w**2 - 2*w**2 + 3*w**2 - 7*w**2)*((0*w + 3*w - 5*w)*(8*w**2 + 2*w**2 + 0*w**2) - 24*w**3 - 39*w**3 + 29*w**3).\nAnswer: 1080*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**4\/12 + 1102*c**2. Let f(v) = -v**2 - 211. What is f(m(h))?\nAnswer: -4*h**2 - 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41975 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 24. Let h = 3525 + -3531. Calculate s(h).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e017 + -11?\nAnswer: -1e028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 10.99.\nAnswer: 54.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 561824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -344 + 1104. Suppose 0 = 5*n - 125 - g. What are the prime factors of n?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 5:36 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1\/4, -0.74?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/37 (b) -1\/3 (c) 5 (d) 6931 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -5, 2\/3, -25?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 10*u = 47, 2*q = q - 3*u + 251 - 240 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -33 - -31 - (-1 + 41\/77). Let m = v - -20\/11. Find the common denominator of 2\/5 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -6\/79 (b) 3\/8 (c) -2\/11 (d) -8 (e) 54 (f) -0.4 (g) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 8117977.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 0 + 2\/3*l**4 + 1\/5*l**5 - 8\/3*l**3 - 4*l - 16*l**2. Factor t(f).\nAnswer: 4*(f - 2)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*u = 12, 12*b - 8*b = 2*u + 18. Suppose 4*l - z = 19, -2*l + 2*z - 17 = -5*l. Put b, 38, l in descending order.\nAnswer: 38, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + ((-16)\/(-6))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/9520 and -23\/255680.\nAnswer: 1789760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 4844?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l**2 - 13*l + 2. Let t be h(-2). Solve -4*m + 10 = s + s, t*s - m - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2052, -8712, -19978, -35850?\n\"Answer: -2303*b**2 + 249*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 172*s**3\/3 + 215*s - 63. What is the derivative of x(c) wrt c?\nAnswer: 344*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 1, 1\/6, -30, -3 in descending order.\nAnswer: 6, 1, 1\/6, -3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmgh when four letters picked without replacement from mmmhgxhhuhhhhmh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - o**2 + 1. Let m be v(-1). Let d = -2396 - -2405. Suppose m*w - w - 4*r + 17 = 0, 2*r = w + d. Is 1\/31 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348149 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v + 131. Let y(t) = 9*t + 266. Calculate -5*i(x) + 3*y(x).\nAnswer: 2*x + 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 2*i + 912 - 916 - 8*i. Suppose 0*q - 30 = 5*q. What is o(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -133 + 15. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25251 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10336\/(-95))\/(2\/15). Let r = 616 - g. List the prime factors of r.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*x - 281091, -347*h + 281101 = -343*h + 3*x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**9*u**(-5))**(-2\/15))**39 assuming u is positive.\nAnswer: u**(338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -32, 18\/7?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113013129623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -27*y**2 - 6856*y + 498. What is b(-254)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13.18984 + 1.7\nAnswer: -11.48984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33127123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1452386, 1452385, 1452384?\n\"Answer: -o + 1452387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1050, -620\/29?\nAnswer: 1050","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 z when four letters picked without replacement from {s: 11, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 466208 divided by -3428?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 8 - 13 + 3*a**2 + 3*a. List the prime factors of p(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 6*g**2 - 6*g - 1. Let w be o(-5). Suppose w = -m - 3*m. Let r = 18 + m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 9:37 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 693\/(-495) + (157\/5 - 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3\/3 - 7*c**2\/2 - 5*c + 123. Suppose 0 = 5*o - 5*l + 15, 4*o + 3*l + 0*l = -26. Let u be p(o). Solve -u = 2*m + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/120 + 2*b**5\/15 + b**4\/24 - b**3 - 21*b**2 - 1. Let k(h) = h**2 + h - 4. Let w be k(3). What is s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) 3\/8 (d) 0.09 (e) -2 (f) 8 (g) 306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30453847 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(0 + -4 + 3). Let c be ((-8)\/(-12))\/(z\/(-996)). Suppose -2*r - 2*b = -4*r + 146, 0 = -r - 4*b + c. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 690\/120 - (12\/1 + (117 - 123) + -1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/6 - (-6)\/9. Let j(n) = -2*n - 1. Let o be j(-2). Suppose 4*r - 2 = g, 4 = o*g + r - 3. What is the greatest common divisor of g and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -1 - (4 - -4 - 163)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8766 and 958416?\nAnswer: 2875248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -19. Which is the third smallest value? (a) -5 (b) -0.5 (c) -1\/3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.1 + 15. Let z = -10 + 9.5. Let o = z + j. Which is the biggest value? (a) -1 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*l - 2 = 0, s + 4 = 3*l - 5. Let u(w) = -w**3 - 2*w**2 - 3*w - 3. Let h be u(s). Let t = 10 + h. Calculate the remainder when t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.546 years in millennia?\nAnswer: 0.128546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 38, -86, 3 in increasing order.\nAnswer: -86, -4, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282 + 215902*g - 1282.\nAnswer: 215902*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 22 - 16*t + 42)*(-4 + 5 - 8).\nAnswer: 112*t - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 1. Let z = 409 + -365. Calculate the lowest common multiple of z and p.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlldlllldll. What is prob of picking 2 d and 1 l?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 + 1 + 1. List the prime factors of (l\/6)\/((-6)\/(-54)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 502091 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(-3 + (-261)\/(-90)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -1\/12, 2, -7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 29*n + 43. Let u(s) = s**2 - 28*s - 44. Let a(h) = -5*u(h) - 4*v(h). Find b such that a(b) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 + 73*w**2 - 152*w - 46. What is m(22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 61*t**3 - t**2 - t + 5. Suppose 0*s - s = -5. Let w be p(s). Round w to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 8*v**2 - 1. Let d be b(-8). What is the closest to d in -0.2, 1\/8, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**6\/40 + c**4\/12 - c**2 - 2*c. Let f(g) be the first derivative of p(g). What is the second derivative of f(d) wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k. Let u(s) = 10*s. Calculate 5*u(o) + 6*x(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = 2*g - 254. Suppose -10*h + g = -188. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (0 - -31) - 0. Solve d - 2*d - 3*l + 16 = 0, v = 4*d + 5*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -4 - 3\/((-6)\/8). What is the highest common divisor of 9 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let j(z) = -28*z. Let u(t) = -t. Let q(m) = j(m) - 5*u(m). Determine q(w(o)).\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259002 = 12*o - 914226. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40626 - 117536. Round t to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -4, 11, 4, 2, 18.\nAnswer: -6, -4, 0, 2, 4, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -422705 and 949?\nAnswer: 423654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/2, -5, 2852\/17, -1\/2 in descending order.\nAnswer: 2852\/17, 5, 1\/2, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let q(r) = -r**2 - 3*r. Let d(z) = -77*z**2 + 12*z. Let k(y) = d(y) + 4*q(y). What is l(k(c))?\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8586420 or -8586436?\nAnswer: -8586436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -437 - -627. Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/(3\/96). Let n(m) = 9*m - h*m**2 + 0*m + 11 + 15*m**2. Let d be n(10). Solve d = -5*j + 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 4*b**2 + 4*b - 5. Let x(g) = -8*g**3 + 12*g**2 + 11*g - 14. Suppose 4*i + 379 - 363 = 0. Determine i*x(v) + 11*t(v).\nAnswer: -v**3 - 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -9. Let z = -13.15 - 0.65. Let s = -13.75 - z. What is the fourth smallest value in s, 1, 1\/6, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8181209996 rounded to 2 dps?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*f = -3*x + 75, -5*x + 103 = f. Solve -2 = -5*m + 19*n - x*n, -5*n + 10 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-7) - (-820)\/(-35). Let i be p + (0 + 0)\/(-1). Let b = i - -36. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007845585 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 644?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 18. Let v = m + 32. Let w be v\/9 - (-8)\/36. Which is the closest to 1\/4? (a) w (b) 2\/13 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4330815 - 2?\nAnswer: -4330817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 4754?\nAnswer: 4750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 418.\nAnswer: -35\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1077*r**3 - 9*r - 2282*r**2 - r + 2283*r**2. Let g be f(3). What is g rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 6)\/3 - -183. Let j = k - 120. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1255.1*-0.64.\nAnswer: 803.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -625704 to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260 and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/2 + (-8)\/16. Let j(x) = -x**3 + 11*x**2 - 8*x + 1. What are the prime factors of j(k)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + 1 + sqrt(684))*-4 + 0 + 1 + (sqrt(684) + -1)*5)**2 + -3.\nAnswer: 288*sqrt(19) + 6217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:40 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 12. Let i be g(0). Let v be (i\/45)\/((-20)\/50). Which is the nearest to -0.1? (a) 19 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 705, 61, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633522 divided by -1316761?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 9*r + 5. Calculate q(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2213 + 1310?\nAnswer: 10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2489730686 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -65?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002208 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-1)\/2*-2. Let v = 16 - w. Does 10 divide (20\/(-3))\/(v\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -324)*3\/6. Let b = -2725\/14 + t. Let l = -33 - b. Sort -2, l, 4.\nAnswer: -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:52 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.459 - -148102722?\nAnswer: 148102724.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4531 - -6508. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 18 = b + b, -r + 3 = -2*b. Suppose -2*q - 3*f - 10 = 0, -q + 5*f + 10 = 2. Sort b, q, 1 in ascending order.\nAnswer: b, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 166, 3481, 12458, 29923, 58702, 101621?\n\"Answer: 471*h**3 + 5*h**2 + 3*h - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 11:17 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2132, 4, 53.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68*1\/(((-3)\/(-6))\/(69\/(-552))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 12*i**2 + 21*i + 16. What is the smallest common multiple of l(4) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 22*l**3 + 5*l**2 + l - 11. Let v(s) = -108*s**3 - 24*s**2 - 5*s + 59. Determine 19*i(r) + 4*v(r).\nAnswer: -14*r**3 - r**2 - r + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 24. Let d = 25 + -16.6. Let v = d + -7. Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-520)\/910)\/(1\/7*6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*0.2607.\nAnswer: -12.5136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*((sqrt(117) - sqrt(117)*-1) + sqrt(117) + -3) + -4 + sqrt(117)*1*2)*-2*-1)**2.\nAnswer: -69768*sqrt(13) + 1230264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by 20915\nAnswer: 83\/20915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60950121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -15. Let x = -3 - -2.9. Is t not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 46 - 30. Which is the third smallest value? (a) 1 (b) -44 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y - 1418 = 258*y - 3806. Solve y*w - 30 = -78 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*9\/(-15)*1. Suppose 0 = a*r - r. Suppose 2*k + 5*u = 6*k - 12, -k + 3*u + 3 = 0. Solve r = -4*o + k*q - 32, 2*o = -2*o + 4*q - 36 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5704911 - -0.6662.\nAnswer: 5704911.6662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 3 = -5*l + 2*s, 0 = 2*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, 288, 915, 1794?\nAnswer: 2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95.1 + -101. Let o = s - -5. What is o rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 - 5*d**3 + 2*d**3)*(3713*d + 37703*d - 689*d + 3964*d) in the form k*d + i*d**3 + m*d**2 + y*d**4 + w and give y.\nAnswer: -89382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcg when three letters picked without replacement from gccccccccgc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*a + 2*a - 4*a)*(-a - 3*a + 6*a) + (-2*a - 1 + 1)*(-3 - 2*a + 3))*(57557*a - 34635*a - 31473*a) as g*a**3 + t*a**2 + r + m*a and give g.\nAnswer: -51306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*j - 5, 0 = 6*b - 2*b - 5*j + 17. Suppose 4*t = 4*x + 24, -3*t + b*x + 0 = -21. Let w be (-16)\/((-8)\/(-2)) + 13. Is w < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -15, 2*b - 133 + 15 = -3*h. Suppose 2*s - 8 = h. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*p + 298*p + 14 + 266 = -294*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -0.5, 12 in descending order.\nAnswer: 12, 3, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2 - 50*o - 744 = 0.\nAnswer: -12, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5\/6, 81654\/5, 0.1?\nAnswer: 81654\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 15*g**2 - 29*g + 167. Calculate s(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 795731 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/13))\/o**39)**(2\/23) assuming o is positive.\nAnswer: o**(-990\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:18 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3224, -8211, -14958, -23465, -33732, -45759, -59546?\n\"Answer: -880*x**2 - 2347*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (245\/100 + -3)*-12 and -32\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + 10000111010?\nAnswer: 10001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -59. Let d = z - 31. Let a = d - -16. What is the closest to 1\/5 in -3, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 4662 = 30*l - 37*l - 60*l for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.2 + 5.8. Let m = h + -11. Let s = -0.81 + -1.19. What is the second biggest value in 4, 0.1, s, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -98. Let a be (((-2)\/(-1))\/t)\/(44\/3564). Calculate the greatest common factor of a and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (13 - (10 - -2))) + (4 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.5 - 20. Let l = -0.2 + b. Let g = 1 + -1. What is the nearest to 0.1 in -0.2, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((2 - -5) + 0)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -128, -115, -70, 25, 188?\n\"Answer: 3*z**3 - 2*z**2 - 2*z - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 7. Suppose 5*v = 2*x - 5*x + a, 2*v = 3*x - 9. Solve 2 = -x*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = -36*p + 43 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1410 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(6*y - 5*y + 0*y)*(-47 - 7 + 1).\nAnswer: -53*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800487.7 millennia to months.\nAnswer: 9605852400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-16))\/((-1)\/2). What is the greatest common factor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**3\/4 + t**2\/2 + t\/4 - 28. Factor y(k).\nAnswer: (k + 1)*(3*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46346455 divided by -9269291.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.62185mg in nanograms?\nAnswer: 72621850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/11 + 486*o**2\/11 - 16644*o\/11 + 16160\/11 = 0. What is o?\nAnswer: 1, 40, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 3*t - y - 35, -26 = -2*t - 4*y. Suppose t*g - 24 = 16. Let i = 11 - 8. Solve -5*j - 5 = 5*h, g*h - i*h - 9 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**7*r))**(7\/5) assuming r is positive.\nAnswer: r**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102141757 to 4 dps.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*h + 4, -8*a + 11*a - 5*h - 34 = 0. Let s(v) = -2*v**3 + 3*v**2 + 4*v - 3. Give s(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 354 - 6286?\nAnswer: -5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 2*s)*(2 + 4 - 4)*(7*s**2 + s**2 + 4*s**2 + (-5*s + 4*s + 3*s)*(3 + 2*s - 3) + 2*s**2 + 0*s**2 + 0*s**2 - s**2 - 2*s**2 + 2*s**2).\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 11*k + 4. Let n be r(-11). Solve -15 = n*g - g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**2*y**3 - 162*w**2 - 457*w + 1420*y**3 + 6*y**2 with respect to y.\nAnswer: 3*w**2*y**2 + 4260*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 6. Let k be w(-11). Let d(y) = 4*y**3 + y + 2*y**2 - 2*y**2 - k*y. Let p(m) = -2*m**3 + 2*m. Calculate -3*d(v) - 5*p(v).\nAnswer: -2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 3) + (-61 - -220 - (-10 + 0)) + -13?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 17*n - 16*n + 22, -6*n = -w + 2 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7 + 11*k - 4 + k**2 - 1 + 12. Let c be l(-10). Sort c, 1, -1 in increasing order.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, c: 5}. What is prob of sequence ccff?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 - -199. Calculate the highest common factor of p and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6349, -25378, -57097, -101506, -158605?\nAnswer: -228394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/8))\/(i\/i**(7\/3)))\/((i\/(i*(i\/(i**(1\/5)*i))\/i*i))\/(i\/i**0)))\/((i**(1\/3))**(-41)*i**(1\/12)*i*i\/(i\/i**(-3\/10)*i*i)*i) assuming i is positive.\nAnswer: i**(2057\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640.165 tonnes in grams?\nAnswer: 3640165000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhxdhhdxdh. Give prob of picking 2 x and 1 h.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 0*q + 0*q)*(8*q - 28*q - 24*q) to the form f*q**2 + j + t*q and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eennenwennnnnnnnen. What is prob of picking 2 w and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1229 + 13521\/11. Let -2\/11*k**4 + 0 + 0*k**2 - h*k**3 + 0*k = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o**2. Suppose 3*x + 10 = 8*x. Let d(q) = 11*q**x + 2*q - 13*q**2 - 2*q. Calculate t(d(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + 0.3?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2186 + 1110. Suppose 5*m - 2025 = -5*h + 3*m, 0 = 2*h - 2*m - f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-30))\/((-4986)\/(-6925))*(-36)\/(-40)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -317*u**6\/24 + u**5\/60 - 55*u**4\/12 - 13*u**3\/6 - 3*u**2 + 2*u - 106. Find the third derivative of l(o) wrt o.\nAnswer: -9510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 216 + 4a?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309464473 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 - 155.143. Round c to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -197. Solve 2*g = o*g + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.239 + -0.1?\nAnswer: -0.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.045 - 74.955. Let f = -75.2 - n. What is the biggest value in -3, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135524878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/14 - -6\/7. Let h = 14184 - 14180. Let y be (2\/3)\/((-14)\/(-6)). Which is the nearest to -0.1? (a) o (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20697144 divided by -8\nAnswer: 2587143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + -5*sqrt(2)*-2)*-5.\nAnswer: -50*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 865 and -127217.\nAnswer: -110042705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584 (base 11) in base 13?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379968 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141*r**3 + 567*r**3 + 568*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 13*g**2 + 19*g**2 - 1 - 14*g**2 as z + m*g**2 + i*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -29*o - 6. Let z be u(-3). Let x = z + -517. Let v = x - -729. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**2 + 295*h + 677. Calculate the least common multiple of 23 and p(50).\nAnswer: 9821","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13104 = 100*f - 244*f. Calculate the highest common factor of 208 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 2*o**2 - 13*o**2 + 0*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102*h*z**4 + h*z**3 - 7*h*z**2 - h*z - 63*h + 38*z**4 + 20*z**3 + z**2 - 198 wrt z.\nAnswer: -2448*h*z + 6*h + 912*z + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 13*j - 6. Let l(d) = 2*d**2 - 26*d + 14. Let y(q) = -4*l(q) - 7*x(q). Let b be y(4). Solve -8*w - 10 = b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:13 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1. Let h(g) = 13*g - 8. Let u(j) = -h(j) - 3*m(j). Differentiate u(k) with respect to k.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - q + 6 = -0*h, 0 = 3*h + q - 16. Suppose h*f - 1 - 9 = 0. Suppose 4*b - 18 - f = 0. Solve 5*z + k = -4, -k - 2*k - 2 = b*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*u + 2*u - 55*u + 186 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2, 3\/5, -3205\/17, -214?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4 - 291*f**3 + 3662*f**2 - 13380*f + 10008 = 0.\nAnswer: 1, 6, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30931*c**3*x**3 + c**3*x - 4*c**2*x**3 - 3924*x**3 wrt c.\nAnswer: -185586*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-42) + 0*(-2)\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (7 - 11))*(-4 + 0). Suppose -55 = -12*j + j. Solve 3 = 4*m - n - g, 7 = j*m - 3*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 115 = -30*s. Suppose -5*c + 3*i + 19 = -304, 0 = -s*i - 5. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnpp when four letters picked without replacement from seggpmgggspsnmg.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x**3 + 0 - 1\/3*x**4 + 0*x**6 + 0*x**5 + 1\/70*x**7 + 0*x + 2*x**2. What is the second derivative of g(v) wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 + 113?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*w - 3*w - 95*w to y*w + f and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4661572 minus 0.6005?\nAnswer: -4661572.6005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let g(i) = i**3 - 2*i**2 + i + 1. What is the units digit of g(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**2 - 136*p - 35. What are the prime factors of i(23)?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003184 rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 o when three letters picked without replacement from {x: 2, o: 5, i: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyfyfyyyyyiyy. What is prob of sequence fif?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5146262 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3\/((-9)\/(-6)). Let n = j + 1. Suppose -11 = -2*c - n. Solve 0 = -5*v + 5*z - 15, c = -4*v + 5*z - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v - 18. Suppose -27 = -0*t + t + 4*x, 0 = 4*t - 4*x + 8. Which is greater: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 41*q - 283. Let f be v(7). Suppose -4*w - 2*r = 14, -3 + 22 = -f*w - 3*r. Let d(l) = 4*l - 5. Let i(c) = 1. Determine w*d(b) - 6*i(b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 69\/(-276) + (-810)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-984)\/(-861))\/((-1)\/(-7)). Solve 0 = -4*x + o, -3*x + 18 = 2*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3384947 less than or equal to -3384945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 126 - 19 + 3 + 4*q to the form f*q + k and give k.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15))**(7\/2) assuming p is positive.\nAnswer: p**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 10*u + 42 + (-2*u + 2*u - 2*u)*(-2 + 1 + 3))*(u - 8 + 8).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-24) + (-2)\/(-8). Suppose -l + h - 4 = -5*g, 5*l + 3*g - 74 = 0. What is the derivative of l - 6*t - 3*t - 2*t wrt t?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 3:54 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1482*n - 2487*n + 20102 = -1534*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -267*v + 570*v + 3*v**2 - 316*v - 32 + v**3. Determine d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*t - 646*t - 1206 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 25. Suppose o*s - 3 = -21. List the prime factors of (-4)\/s + 525\/9.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 10 - 8 - (0\/(-6) + -14) - -14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-6))\/(((-104)\/(-572))\/(4\/(-33)))\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2282 = -822*s + 659*s. Let d(f) be the third derivative of f**4\/12 - 19*f**3\/6 - f**2. Determine d(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13c + 9aa?\nAnswer: b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 347 + -325. What is the remainder when 482 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(40\/(-6)))\/(5\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 11*o - 190 = 0. Suppose o*i - 7 = 31*i. Let r(w) = -7*w**2. Calculate r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1557 and 2286.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 3:42 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:15 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - a - 9. Let d be m(4). Suppose 3*g - 3 = d. What is the first derivative of 54*n**g - 64*n**2 - 4 - 4 wrt n?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6*b + 9*b = -12, b + 3 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 + a - 39. Let h(f) = -2*f + 34. Let b be h(21). Let r be j(b). What is the greatest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74 - (-15 - -32)) + 9\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + 1. Let k(o) = -o + 20. Let v be k(h). Suppose -396 = v*g - 9*g. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0996659 to four decimal places.\nAnswer: 0.0997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 7 + 6 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 105*l + 41. Let j = 203 - 199. What is the tens digit of w(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 0*b**2 - b**2 + (315*b**2 + 410*b**2 - 407*b**2)*(-1 + 4 - 2 + (0 + 2 + 0)*(-2 - 1 + 2)) - 3*b**2 + b**2 - 3*b**2 - b + 2*b**2 + b.\nAnswer: -323*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -16. Suppose -j - x = 2*j. Let u(r) = -r**3 - 4*r**2 + 2*r - 2. What are the prime factors of u(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {o: 8, k: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*i - 2332265 + 172270, 3*i = -6*y + 4320003. What is y rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*d + 3675 = -965. Let v(p) = 20*p**2 - 3*p - 3. Let c(a) = 140*a**2 - 20*a - 20. Give d*v(l) - 6*c(l).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/10 + 546\/105. Suppose 4*v = 6*v - n*t - 78, 0 = -t. What is the remainder when 110 is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t - 65*t + 331 = 0. Let c(m) = m + 23. Let o be c(-18). Suppose -t = -o*l + 69. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**10\/1008 + l**6\/90 - l**3\/2 + 3*l**2. Let s(p) be the first derivative of w(p). Find the third derivative of s(f) wrt f.\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**6\/2 + 9*c**5\/5 + 27*c**4\/2 - 40*c**3 - 11411. Determine o so that f(o) = 0.\nAnswer: -4, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*y - 8, 306*y + 19 = 310*y + 3*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 + 2*a + 2. What is g(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.1389673 to 0 decimal places.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/(936\/(-324)))\/(0 - (-2)\/(-1012)). What is the greatest common factor of f and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 416*p**2 + 304.\nAnswer: 832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 38*w**2 - 29*w - 242. Is v(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(7972*w - 14696*w + 7764*w).\nAnswer: -2080*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Let k(s) = -1141*s**2. Give z(k(c)).\nAnswer: -2282*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 837 and 15066?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -c + 5. Let s(i) = i**3 + 5*i**2 - 4*i - 9. Let n be s(-5). Let k(p) = -n*p**2 - 17 + 10 + 8. Determine k(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**4\/24 + 11*n**3\/6 + 121*n**2\/4 - 248*n + 307. Let h(j) be the first derivative of t(j). Factor h(c).\nAnswer: (c + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121211 - -2?\nAnswer: -121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5)**(1\/14)*(p*(p\/(p**3\/p*p))\/p*p)**(2\/21) assuming p is positive.\nAnswer: p**(11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/(4039\/9232). Let y = 0.3 - 0.4. What is the third smallest value in 0.04, y, t?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5250096 months?\nAnswer: 0.000437508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 21. Let b(w) = 2*w + 2. Let f(r) = r + 2. Let q(j) = -3*b(j) + 2*f(j). Calculate the remainder when x is divided by q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*h*l**4 - h*l**3 - 892*h + 86*l**4 - 9*l**2 wrt l.\nAnswer: 2808*h*l - 6*h + 2064*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -787260, 0, 4.\nAnswer: -787260, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 - 198. Suppose -o*y + 25 = -19*y. Let m(h) = h**2 - h + 1. Determine m(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1744100 - 1225500. What is f rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/12*6\/5. Let c be 11\/8 + o\/(-4). Let u = 54 - 649\/12. What is the nearest to 1 in c, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/(-20) + (-16)\/20. Let r = y - -6. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a**3*q + 582*q with respect to a.\nAnswer: -30*a**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -63787361.\nAnswer: 2\/63787361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -519 - -1151. What are the prime factors of m?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (16 + -21 - 20) + -27 + 3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-4 - -3)) + (-8)\/(-6). Suppose -16 + 4 = 3*b + p, 5*b + 12 = p. Sort t, b, 3 in descending order.\nAnswer: 3, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-200))\/((8466\/(-120))\/(-83))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 727 + 4?\nAnswer: 72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 1304*h + 1008*h + 11 + 116*h.\nAnswer: 2428*h + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7173 times 4.872?\nAnswer: -3.4946856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + b)*(-2*b - 4*b + 5*b)*((6 - 5 + 3)*(-2 + 3 + 0) + 27 - 68 + 2).\nAnswer: 35*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10864206 or 10864208?\nAnswer: 10864208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -548039\/120571 - 1\/10961. Let q = -44346361\/63940 + 63483\/92. Let y = -18\/139 - q. What is the common denominator of s and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 15*l**4\/4 + 11001*l**3\/4 + 1019619*l**2\/2 + 28168584*l + 11186040 = 0.\nAnswer: -485, -124, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(11)*2) - (sqrt(70)*-6)\/sqrt(10))*4.\nAnswer: 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*z + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0342, -1506.4, 5, 1, 2 in descending order.\nAnswer: 5, 2, 1, 0.0342, -1506.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*s - 59*s + 5239 = 93*s. Calculate the remainder when s is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9543840.641 rounded to the nearest 100?\nAnswer: -9543800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 + 89. Let v = 59.999862 + m. What is v rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2. Let n(u) be the second derivative of 0*u**2 - 7\/6*u**4 + 0 + 0*u**3 - 9*u. Determine n(p(s)).\nAnswer: -56*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33 - (-3)\/3)*30\/4. Let g = -143 - m. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u + 2*u - 1)*(-4*u + 3*u + 4*u)*(3*u + 16 - 16) to n + q*u**2 + a*u + v*u**3 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 11208\/121799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -10538.\nAnswer: 3\/10538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2424300113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163405 = -14103*g + 89625 - 532649 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1107835, 1107831, 1107827, 1107823?\nAnswer: 1107819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 5*s**2 - 2*s - 9. What is the units digit of v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/9 - 30208*i**3\/9 + 5314868*i**2 - 26568429008*i\/9 + 4985989165402\/9.\nAnswer: 2*(i - 13391)*(i - 571)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -333*o**2 + 92*o**3 + 333*o**2 - 3*o**2 - o**3 + 3*o**2 + (2*o**3 - 4*o**3 + 4*o**3)*(0 + 6 - 2) - 37*o + 37*o - 4*o**3 + 1.\nAnswer: 95*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0988, -0.1, -2 in ascending order.\nAnswer: -2, -0.1, 0.0988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 626295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/24)\/((-1)\/12). Suppose -1366 = -2*q + 2*g, -w*q + 701 = 4*g - 1991. Is 8 a factor of q\/21 + (-2)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ac - -bc?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15546*t = -233346 - 404040 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 8.174516.\nAnswer: -130.792256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*u - 249, 6*u - 155 = 4*u - 5*c. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (5 - 7) - -2. Let c(z) = -2*z - 2*z + z + 2 + z. Calculate c(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*k**2*m**2 - 25*k**2 - 40*k*m**2 - 34*k wrt k?\nAnswer: -262*m**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a kilometer in centimeters?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*h = 380 + 574 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-102)*30 - -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -105, -2, 1, -17, 10.\nAnswer: -105, -17, -4, -2, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1548*k - 27642 + 95754 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8.9. Let m be (0 - 0) + -1 + 3. Which is the closest to s? (a) 5 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -22) + -44 + 7 + -3 - 9\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6748.3 + -6757.3. Let k = -3 - -2.5. Put l, 0.5, k in decreasing order.\nAnswer: 0.5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 151*u + 3 - 4.\nAnswer: -151*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265993 is divided by 3181?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -12, -3, 102.\nAnswer: -12, -4, -3, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2531 is divided by 112.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 516240?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y - 3. Suppose 2*q + 3 - 13 = 0. Suppose -q*i - 6 + 1 = 0. Let n(b) = 4*b - 3*b + 1 + 0. Determine i*u(p) - 5*n(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/520 and 13\/32.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-3))\/((-21)\/(-1)))\/((-38)\/((-15048)\/462)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/30 + (-3)\/9)*2. Which is the fourth biggest value? (a) -3 (b) 5\/2 (c) 1\/6 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -19 - (-14 + (14 - 7) + 15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342578664.\nAnswer: 2, 337, 868909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from xxxfxxxxxxxmxxx.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - w = 0, -4*n + 41 = -w + 16. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*h = 226 - 27, 3*h - 131 = -2*v. What is the remainder when 245 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/8)\/(57\/76)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (0 - 1) + 5. Suppose g - 9 - 11 = -r*k, 2*k - 20 = 3*g. Suppose -5*p - k + 30 = 0. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -3*c**6\/10 - 23*c**4\/12 + 13*c. What is the third derivative of o(i) wrt i?\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 10) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 40. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = 0, 4*w + 14 = j. Let a be 1*(0 - (2 + -1)). Calculate the lowest common multiple of 11\/(2 + a)*2 and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - t + 9 = 0, t = 3*q + 513 - 478 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17956*-2.\nAnswer: -35912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 61 = -2*i, 113 = -5*y + 168 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 54, 76, 118, 186, 286, 424, 606?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**3 - 2323*x**2 - 400*x - 4677. Give y(-387).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-64)*12)\/((-11)\/(-88))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24114.6 - 0.9\nAnswer: -24115.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/4 in 5, -0.1, -756319?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 44 = -2*o, -1053 = -107*i - 2551 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3941.\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3580, -7158, -10734, -14308, -17880, -21450, -25018?\nAnswer: -28584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2222.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -6, -3, -4, 7, -28?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*k)*(2*k - 1 + 1) + 1 + 9*k**2 - 1 - 3*k**2 + 3*k**2 - k**2 + (k + 2*k - 5*k)*(2*k - 1 + 1).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 0*j + 4*j + 40 = 0, -6*w + 52601*j = 52596*j + 49 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 241379592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - h - 2409, -u + 5*u - 4820 = 4*h. Suppose 4*i = 36 - 52, -u = -p + i. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-5)\/((-35)\/(-18)))*(-574)\/123?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/100 and (-2630)\/(-8400) - 10\/(-75)*1.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -160*u - 804. Let a be f(-5). Put 5, 34, a in descending order.\nAnswer: 34, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, 8069.8248, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8177 - 1549. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16780585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 + 4*g.\nAnswer: 2*g*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.672204 days in microseconds?\nAnswer: 576478425600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 425088127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 63*p**2 + 81*p - 1084. Let n be t(64). Solve 5*u = -n*y + 61 - 91, 4*u + 2*y + 18 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -65*h - 3*h**2 + 65*h + 8*h**2. Let a(v) = -14*v. Determine a(o(r)).\nAnswer: -70*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/13 (b) -1\/19 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 24, 40, 62, 90, 124, 164?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -1557, -3484, -6895, -12282, -20137?\nAnswer: -30952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 72*p - 10. Let m(x) = -8*x. Calculate q(m(a)).\nAnswer: -576*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -28. Suppose 5*h = -5*i - 60, o + 18 = -5*i - h. Let s = 17 + i. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 72. Determine b(-16).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/3))**(-2\/31)\/(b\/(b**(-3\/7)\/b)*b\/(b*(b\/(b\/(b\/(b\/(b\/b**(-2\/15))))))\/b)) assuming b is positive.\nAnswer: b**(-2607\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - (59 + -33)) + -35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82*((-94)\/(-60) + ((-4368)\/(-1170))\/(-56)).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 4*v + 5*a, 4*v + 107*a = 103*a + 44 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 5*r + 12. Let t be o(-6). Suppose t*n + 207 = 15. Let q = -10 - n. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4793530*q**5 + 106*q - 8544?\nAnswer: -95870600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333039 and 1371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 25*b**3 - 18*b**2 + 7*b - 20. Let i(h) = 22*h**3 - 17*h**2 + 6*h - 19. Let m(r) = 8*i(r) - 7*z(r). Calculate m(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -17. Let t(c) = c - 2. Let i(q) = 8*q - 16. Let d(x) = -3*i(x) + 28*t(x). Let p be d(2). Solve 0 = -p*y - 3*y - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -69125*u + 34570*u + 229 + 34565*u. Determine q(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87117 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 - 2*z**2 + 3*z - 2. Let m be c(1). Factor -m*a**4 - 20*a + 1 + 8*a**2 - 4*a**4 - 5*a**5 - 2*a**3 + a**5 + 26*a.\nAnswer: -(a - 1)*(a + 1)**3*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 + 6*u**2 - 10*u + 2 + 9*u in the form k + h*u + z*u**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -1148*i + 1126*i - 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -2\/3, 2722?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 33 + -13 + (-21 - -23).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(4 + (-10855)\/(-10))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i + 4. Is d(5) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10416*v**2 - 16*v - 52.\nAnswer: 20832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.98798 + 0.01202. Let k = -0.2 + 0.2. What is the nearest to 2 in -0.4, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5970252 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3750 - 3708. Calculate the greatest common factor of 1778 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - (-9 - 7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = -f - 82, -20*f + 8*f + 3*o - 43 = 71 - 84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3729 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-1014)\/(-65))*-2\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -71 + (-16 + 1 - (18 - (30 + 0)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -139*x + 32. Is s(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 1)*(4*a + 2*a - 5*a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**3 - z**2 - z - 1. Suppose 532*u = 1111*u - 559*u - 2860. What is the least common multiple of u and x(-1)?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93642938.\nAnswer: 2, 691, 67759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 38425?\nAnswer: 38425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 7*s + 3. Let m be u(-7). Suppose -3*f = m*w + 36, -f - 3 = 7*w - 3*w. Is f\/(-6)*-6*-1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141273058.2 to the nearest one thousand.\nAnswer: 141273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/315 and -74\/675.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*3 + sqrt(170))\/sqrt(5) + sqrt(34))\/(2*sqrt(242)).\nAnswer: 5*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*x + 107200 + 833520 = 0. What are the prime factors of x?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 284\/12*(65 - 2). Suppose -5*i + r = -354. Suppose 3*a + 51 - i = 0. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*d - 43164*x + 43166*x, -3*d = 2*x - 40 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**3 + 11 + 3 - 14.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1. Let r(f) = -2*f - 4. Let p(d) = -2*r(d) + 4*u(d). Let g be p(-6). Let i = g - -67. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -6 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 + 1. Let s be d(7). Which is smaller: s or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19715.1 + -19715. Let z = -37 - -179. Let l be z\/(-46) - (-3)\/1. Do l and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:34 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/7 - 212*i**2\/7 - 8102*i\/7 - 7888\/7 = 0. What is i?\nAnswer: -29, -1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 22. Suppose -4*f + i + 4 - 29 = 0, 26 = -d*f - 4*i. Let y = 25 + f. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(84)*-2 + sqrt(84)))\/(sqrt(48)\/(sqrt(24)\/sqrt(2))))\/(sqrt(84)\/((sqrt(588) - sqrt(12)) + sqrt(12)) + (sqrt(70) - -1*sqrt(70))\/sqrt(10)).\nAnswer: 7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -5. Suppose 0 = 4*l - 34 + r. What is the remainder when 3 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*u + 176 = 0, 0*o + 2*o + 3*u - 175 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10285*b**3*l*n**2 - 3*b**3*l*n + b**3*n**2 + 2*b**3*n - 128483*b**3 + 2*b*n - 35*l*n**2 + 1 wrt n?\nAnswer: -20570*b**3*l + 2*b**3 - 70*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y + 153 = 153. Let a be 14\/(-40) + 18*(-5)\/(-120). Factor 0*d + 2\/5*d**2 - a*d**3 + y.\nAnswer: -2*d**2*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -86. Let s = g + 68. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1253 + 10502421?\nAnswer: 10504114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - (91 - 41)) + 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i + 227 + 163 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 41. Put 2, -2, m, -4 in increasing order.\nAnswer: m, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 - 4*j**2 + 64*j - 9. Let c(p) = -9*p**3 + 7*p**2 - 127*p + 15. Give -3*c(l) - 5*h(l).\nAnswer: 2*l**3 - l**2 + 61*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 7. Let m be u(6). Let t = 31147 - 1713079\/55. Is m greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -21. Let p = t + 14. Let y = -0.2 + -0.1. What is the closest to 0 in y, 4, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -436\/89179 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 787061 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75971 and 10997.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262759 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 285870 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43054 = 2*i + 4*z, 153*i = 152*i - 3*z + 21528. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0382 and -0.0097?\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14859*x**4 + 2583*x**2 wrt x?\nAnswer: -356616*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 24*j**3 + 3*j**2 + 4*j - 5. Let m(z) = -47*z**3 - 5*z**2 - 7*z + 9. Determine 3*m(p) + 5*y(p).\nAnswer: -21*p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 - 28*o**2 + 16*o**2 - 4*o**3 + 12*o**2.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/413216 and -79\/79544080.\nAnswer: 159088160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1265893?\nAnswer: 5\/1265893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7365.262912 rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwwuugugggg. Give prob of picking 2 g.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 5) to base 2\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*t**4 - 2*t**3 + 50*t**2 + 11133*t wrt t.\nAnswer: 1020*t**2 - 12*t + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -141 or -149?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1794.961 grams?\nAnswer: 1794961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1660074.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 1, l: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:31 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - m. Let z be y(0). Suppose -2*u + 4*n + 28 = z, -5*n - 37 = -0*u - 3*u. Solve 0 = -2*a - 4*p - 18, -2*p - 4 = u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65541126 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4*-3484\nAnswer: -13936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3 + r**2 - 4*r**2 + 26*r + 2*r**2 - 21*r. Give s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*i + 205 = 0, -3*w + 5*w = w - 3*i + 185 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 2*w**2 + 2*w**2)*(2*w**2 - 4*w**2 + w**2)*(-8*w - 16*w + 6*w).\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-175)\/60)\/5*(-18)\/(-15)*(-15)\/(-84).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 125.5225l?\nAnswer: 125522.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j, 10*z - 2*j + 16 = 13*z. Suppose 0 = -z*l + 49 + 9. Which is smaller: l or 30?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.3415 - -0.7485. Let x = y - -1.91. Let a = 80.99907 - x. Round a to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 3*s**5 + 2*s**4 + (-4*s**3 + s**3 + 2*s**3)*(-2*s**2 + 4*s**2 - 3*s**2) + s**5 + 0*s**5 - 3*s**5 - 226*s**5 + 4111 - 4111.\nAnswer: -224*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 186378.6071 to the nearest 1000.\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8302 + 3805.1698. Let t = z - 2336. Let k = t + -1470.591. What is k rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*z**3 + 74362 - z - 37184 - 37190 as g*z**2 + m*z**3 + w*z + x and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*88\/(-20)*20. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2783 + 2776. Let a(q) = -3*q**2 + 7*q - 7. Let l = 1 - 5. Let c(b) = 2*b**2 - 4*b + 4. What is l*a(x) + z*c(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 4:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.5, -21, -1, -0.4, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 756 - 24*v**4 - 29*v**4 + 55*v**4 wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455*o + 725*o + 1458*o + 64025 = 1077*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -3, -5, -7, -9?\n\"Answer: -2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(288) + 4 + 4*(sqrt(10)\/(sqrt(5) - (sqrt(5) + sqrt(80))) + (sqrt(22)\/(sqrt(11) + sqrt(11) + sqrt(11)*-2 - sqrt(11)) - sqrt(2))))**2.\nAnswer: 54*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*b - 7 = 0, -3*a = -a - 3*b - 4. Let v = a + 1. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-4 + 4 + 1)*(0*r + 3*r - 4*r)*(0 + 2 - 3)*(11*r + 12*r - 17*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 10, 0, 7\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 0*v**3 - 2*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 1:21 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -7, 8, 0, -1 in decreasing order.\nAnswer: 8, 0, -1, -2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004890769 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1433 times 0.1\nAnswer: -0.01433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 83*u**2 + 9*u - 597. Calculate n(83).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0 - 3*a**2 + 0*a + 0*a**4 - 1\/60*a**5 + 0*a**3. Let d(o) = -o. What is d(l(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-8 - 1 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 + 20 = 0. Let u(y) be the first derivative of y**3\/3 + y**2 - 4*y + 1. What is the remainder when u(o) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236 + 57. Let l = 305 - y. What is the remainder when 18 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36896)\/(-24213) - 2\/(-14).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 15*v - 13. Let j(c) = -6*c - 14. Let k be j(-5). Let f be r(k). Suppose f*a - 5*a = -642. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -66.95?\nAnswer: -66.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*a = -8, 5*p - 224*a - 31 = -310*a + 84*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84e248 (base 15) in base 4?\nAnswer: 120020100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u**3 + 6*u**2 - 9*u + 2. Give t(2).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1221671726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 46403739?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**3\/6 - m**2\/2 - 5*m. Determine q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(2\/2 - 2). Let m be 3\/o*151*3. Suppose -4*b = -m + 19. What is the remainder when b is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**3 - 7*g**2 - g - 8. Let y(n) = 11*n**3 + 8*n**2 + 2*n + 10. Let o(s) = 6*v(s) + 5*y(s). Let b(k) = k**2 - 1. Determine -2*b(x) - o(x).\nAnswer: -x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 391\/63813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1697, -3159, -4639, -6137, -7653?\nAnswer: -9187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 28. Give a(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j\/((j\/(j*j**(3\/11)))\/j)*j)**(-9)\/(j**(-2\/21)\/j**(-2\/13))**(-4\/5) assuming j is positive.\nAnswer: j**(909794\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-11 - 66) - -56?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*m**2 + 37*m**2 - m**3 - 10*m**2 - m - 5 to y + r*m**3 + p*m + t*m**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40648 and 0.09.\nAnswer: 3658.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 5 = 0, 4*x + 5*r - 25 = 0. Is -2 + 2 + 83 + x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*d - b - 3, 0 = 4*d - b - 15. Factor 1\/3*a**d + 1\/3*a - 1\/3*a**3 - 1\/3*a**2 + 0.\nAnswer: a*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100873?\nAnswer: 149, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 13*m + 1. Let k(f) = 3*f**2 + 72*f + 2. Let r(b) = -5*i(b) - k(b). Let j(c) = c**2 - 4*c - 4. Calculate -7*j(l) + 4*r(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -4. Put 5, -4, a in increasing order.\nAnswer: a, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (154\/176)\/(1\/(-4))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**9\/252 + d**5\/60 + 3*d**2\/2 - 2*d. Let g(z) be the first derivative of h(z). Find the third derivative of g(v) wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-174)\/(-145))\/(2\/180). Calculate the highest common factor of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, -34.\nAnswer: -34, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5697?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*3\/6*-1)\/((-78)\/104)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 115, -227, -545, -833, -1085, -1295?\n\"Answer: c**3 + 6*c**2 - 367*c + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -24. Let h = i - 0.02. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 90*r + 930. Give w(-13).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1451 - 1421. What is the highest common divisor of v and 1020?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 17 = s - 0*s, 0 = -3*s - 3*u + 21. Suppose 5*j + 15 = 0, 4*r + 2*j - 7 = 19. Calculate the least common multiple of s and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 28 = -3*o, -44 = -5*o - 8*j + 12*j. Calculate the remainder when o is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-1\/3)\/c)\/c))**44)**(-5\/9)*(c*c**(-2\/7))**(5\/6)*(c**(2\/3)*c)**(5\/8) assuming c is positive.\nAnswer: c**(-120725\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 750*o**2 - 463 wrt o.\nAnswer: 1500*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119049762, 119049764, 119049766, 119049768, 119049770?\nAnswer: 119049772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*t**3 + 7\/4*t**2 + 3*t + 0.\nAnswer: t*(t + 3)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 2, k: 3, s: 1, j: 1, a: 8}. What is prob of sequence ma?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0*v**2 + 4\/9*v**3 - 11\/15*v**5 - 5\/9*v**4 - 8\/45*v**6 + 0 - 5*v. Find f such that g(f) = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/18)\/(2\/(-16)). Suppose -d*b = -6 - 26. Let n be (4\/(-1 - -3))\/2. Calculate the greatest common factor of b and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 5*y + 1 - 4*y + 2*y. Suppose -3*h = 2*n + 2*n - 5, 4*n - 3*h + 13 = 0. Calculate g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -10*i - 44 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27048 and 507248?\nAnswer: 35000112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (77 + (-127 - -107 - (-2 + 0))).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9911\/21 + -471. What is the common denominator of 70\/51 and u?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.063 - 1.937. Let j(w) = 5*w - 28. Let n be j(5). Let c be (n\/((-2)\/(-2)))\/((-42)\/(-4)). What is the third smallest value in 0.06, k, c?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -72.01 from 3.7702644481.\nAnswer: 75.7802644481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -3*c, -3*c + 4*v - 18 = -8*c. Solve 3*o + 27 = 5*w, w + 4*o = c*o - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**3\/3 + 9*n**2\/2 + 4*n - 70. Calculate u(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/2 + 2)*-5. Let g = 7 - w. What is the third biggest value in g, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12000110221 (base 3) to base 6.\nAnswer: 2041124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*x. Calculate the lowest common multiple of x and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*j + j. Let z be 4\/14 - 127\/126. Let y = z + 1\/18. Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1700)*1 + sqrt(1700) + -4 + 0 + -1*sqrt(1700) - (0 + (1 + sqrt(1700) + -5 - sqrt(1700)) + sqrt(1700))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116402565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 46, 94, 168, 274, 418, 606, 844?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9414 and 1080.\nAnswer: 564840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*l**2 - 82*l**2 + 106*l**2.\nAnswer: 125*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3232*w - 57 = -3227*w + 2*p, -3*p + 25 = -w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/80 and -17\/4160.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 9*z - 18. Suppose f + 5*t = 30, -5*f + z*f - 2*t + 20 = 0. Find r such that 3\/2*r**4 + 0 + 1\/2*r**2 + 0*r - 1\/2*r**f - 3\/2*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -22.99986. What is b rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23681577 by 687.\nAnswer: 34471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(28)\/(sqrt(2) - -2*sqrt(2)))\/sqrt(2))**2*-4.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 9. Let l be f(11). Solve -l*j - 1 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 8. Let v(f) = 2*f**2 + 2*f + 1. Let g be v(-1). Let l = 3 + g. Let s be t(l). Solve 5*q = -2*h, -s*q - q = h - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.2496824269 + 14?\nAnswer: 53.2496824269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25097599 - -258.864.\nAnswer: -25097340.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05989644 to 5 decimal places.\nAnswer: 0.0599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -445 + 496. Let g = s - -931. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -15, -53, -117, -213, -347, -525, -753?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76645 is divided by 2534.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noononnonnnonoononoo. What is prob of sequence oo?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*a - 5*y, -7*y + 8*y - 85 = -4*a. What is the remainder when a is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 18912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -938 divided by 2?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + (-4 + (0 - -3) - -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 - 3*r - 1 + 6*r - 2*r**2 + 3*r**3. Let p be t(-3). Let x = 8 + -8. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/35 - 2\/5. What is the closest to 0 in 1\/3, -0.01, h?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 + 102. Solve 0 = s + 2*s + 2*f + 12, -j*f = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -1888\/27?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21803, -87226, -196235, -348806, -544915?\n\"Answer: 4*v**3 - 21817*v**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 1. Suppose 0 = 2*f + 9 - 1. Let q(x) = 5*x + 5. Determine f*m(g) + q(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 307 - 170. Suppose 2*z - g = 21. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-16)\/(q*q*q\/(q**(-13)\/q))*(q**(1\/4)\/q)\/(q\/(q\/(q**(1\/9)*q)*q)*q) assuming q is positive.\nAnswer: q**(-1255\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05146 - -44.96146. Let c = 16.6 - r. Let z = -29 - c. What is z rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35628461 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -914*l**3\/3 + 3*l**2\/2 + 7*l - 8. Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llk when three letters picked without replacement from {l: 12, k: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/18 and ((325\/180)\/13)\/((-2)\/(-15))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12\/60)\/((-10)\/375) and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.024 - -6.026. Let m = v + -3. What is m rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 17, -37, -133, -283, -499?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*q - 11 - 105*q**5 + 5 + 5 wrt q?\nAnswer: -2100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16768 + 16763. Which is the biggest value? (a) r (b) 3 (c) -0.1 (d) 0.5 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 20*p. Let v(g) = -2*g**2 - 10*g. Let y(z) = -z. Let t = -50 - -40. Let a(i) = t*y(i) + v(i). Determine a(f(r)).\nAnswer: -800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n + 2. Let k(q) = -8*q - 3. Let w(y) = 3*c(y) + 2*k(y). Let z = 3 - 1. Let b(x) = x. What is z*w(o) - 9*b(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9088 and 224?\nAnswer: 63616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -227, -233, -251, -287, -347, -437, -563?\n\"Answer: -z**3 + z - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yymmmmymmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*u + 6, -3 - 1 = -2*u. Sort 6, 0, m, -1 in ascending order.\nAnswer: -1, 0, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10926*l**2 - l - 3. Let z be w(-3). Suppose 0 = 5*h - z - 28921. Let n = h + -45451. What is n rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 minus -21?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pox when three letters picked without replacement from {e: 2, x: 3, f: 6, o: 4, p: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5494, 10696, 15900, 21106, 26314?\nAnswer: 31524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0795 + 4.0795. What is the biggest value in 1.33, g, 1\/5, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2 + 2)*(-2*h**2 + 0*h**2 + 0*h**2) + 10*h**3 + 3*h**3 - h**3 + (-2*h**2 + 2*h - 2*h)*(h + 2 - 2) as o + v*h**2 + p*h**3 + x*h and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -579.761 - -579. Let x = -0.761002004 - d. What is x rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -5, -1.6 in descending order.\nAnswer: -1.4, -1.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1429 * -24499.\nAnswer: -35009071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*c**2 - 47*c**2 + 41*c**2)*(0*c + 5*c - 3*c) + 29*c**3 + 13*c**3 - 19*c**3 to the form z*c**2 + n*c + q*c**3 + x and give q.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 4*p**4 + 0*p**4)*(19*p + 13*p - 2*p) + 0*p**5 - 2*p**4 + 2*p**5 - 4*p + p**2 + 6*p.\nAnswer: -88*p**5 - 2*p**4 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1839, 7347, 16527, 29379, 45903?\nAnswer: 66099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*z - 54*z - 900 = -9*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3 = -8, -3*s - j + 35 = 0. Suppose -3*z - z = -s. Find the second derivative of -3*b**z + b + b - b wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*z + 2 = -2*d, 3*z = 0. Suppose 2*k - d*x = 3*k - 5, 0 = -2*x. Suppose -4*i - 137 = -b - 253, 5*b = 4*i - 148. Solve k*r = -7 + i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12))**(2\/9)*s**(2\/5)*s*s\/(s**(-2\/15)*s)*s*s assuming s is positive.\nAnswer: s**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/12)\/(n**(-19)*n))\/(n*n*n**20*n**(5\/2)) assuming n is positive.\nAnswer: n**(-79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 + 2*v - v - 2*v - v - 3 in the form i + z*v**3 + c*v + x*v**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**5 + 2*c**4 + 6*c**3 + c**2 + 4*c. Let w(q) = -12*q**3 + q - q**5 + q + q**2 + q**4 + 15*q**3. Let f(p) = 11*w(p) - 6*x(p). Factor f(k).\nAnswer: k*(k - 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r - 60. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-70)\/(-6))\/((-480)\/(-576)). Solve k + l = 15*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561 at least -434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.068 + 1.572. Let n = 1.63889 - k. What is n rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38175 is divided by 7436?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4\/7 - 7424*j**3\/7 + 3183072*j**2\/7 + 242824192*j\/7 + 4279253056\/7 = 0. What is j?\nAnswer: -34, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 10*o**2 + 26*o + 347. Let c be u(-16). Which is smaller: 10684 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 355, -1108, -1.3?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1974 = 30996*m - 31038*m for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, -2\/3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 24. Suppose 2*a + 2*s = l, 5*a - 6*s = -5*s + 50. Let o(d) = -d**2 + 8*d + 10. Let g be o(a). Solve g - 4 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 + 18*k**2\/5 - 36*k\/5 + 24\/5.\nAnswer: -3*(k - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136405 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48316094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 298\/27 greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4\/9, 3\/31, -643\/2, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1086 and -44\/15?\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*b + 39 + 56, -1 = -u. What is the highest common factor of 45 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + r**2 - 6*r**2 - 4*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o + 3*r, -2*o - 8 = -5*o + r. Suppose 0*l - 150 = -o*l. Suppose j - 12 = -2*g + 15, 0 = 5*g + j - l. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -1 + 41. Let a = -389 - -306. Let z = a + 88. Solve 5*l + z = -i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u - 4 = -2*b, -2*u = 4*b - 14. Let t be 29\/b - (-5)\/(-20). What is the highest common factor of t and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 8. Let w(n) = 2*n - 15. Let a(d) = 7*o(d) + 3*w(d). Let p be a(8). Suppose 2*z - 22 = 2*g, 2*g - 4 - 9 = -p*z. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 2 + (-2 + 0 + 3)*(-1 + 4 + 1))*(2*t**4 + 8*t**3 - 8*t**3).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82957\/20 - 4154. Find the common denominator of -101\/10 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 224256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 1, r: 2, z: 11, y: 5}. Give prob of sequence zez.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3.1.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75470910 divided by -5?\nAnswer: -15094182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 j when four letters picked without replacement from {y: 4, j: 4, m: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 103243.28057 and 0.\nAnswer: 103243.28057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m + 58*m + 7032 = -152*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9907 = -105*v + 1770001 + 285022. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 not equal to 0.393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Let p(u) = 2*u**3 - 3*u**2 + 2*u - 3. Let x be ((-3)\/9)\/(1\/(-6)). Let i be p(x). Solve -i = -0*n - g*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -247084.5 to the nearest 1000.\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d + 1191 = -5*v, -4*v - 945 = 5*d. Let m be (-8)\/5*v\/32. Suppose -w + 12 = -18. What is the greatest common factor of w and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*x + 4)*(92 + 58 + 57 + 0).\nAnswer: -621*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62867867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-21)*(-138 + 103). Solve -8\/7*t**f + 20\/7*t**2 - 8\/7 - 12\/7*t + 20\/7*t**3 - 12\/7*t**4 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*t - 414 + 135 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -306\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*s - 27, 2*s = -3*q + 3*s + 94. Suppose 5*d - 356 + q = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -76.5. Which is the nearest to -1? (a) -48 (b) -0.4 (c) -1\/3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(204\/1)\/(-4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 633?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(6*(-185)\/2664)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217882 (base 9) to base 5.\nAnswer: 13133414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 3 - 3)*(2 - 4 + 1)*(8 - 2 - 12)*(-2 - 2 + 2) to p*q + a and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 q when three letters picked without replacement from {q: 11, m: 9}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 less than 13455879.706?\nAnswer: 13455240.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-15) + (-8)\/3. Let x be i\/(2*(-3)\/216). Suppose -5*y = 12 - x. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4529 - 0.0471. Which is the fourth smallest value? (a) f (b) -1 (c) 3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 2*m + 1\/2*m**3 + 8*m**2 + 0. Suppose -5 = -2*b - 5*k + 8*k, -b + 22 = 5*k. Let v(n) = n + 5. What is b*v(i) - 2*w(i)?\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 200*k + k**2 - 2*k**2 - 4 - 197*k + 2*k**2. What is j(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-6))\/(16\/(-96)). Is 205\/j*-1*-332 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 2. Let m be p(-3). Let d be 3\/(-5) + (-1683)\/(-5). Let g = d + -232. What is the highest common factor of g and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 28, 46, 52, 40, 4, -62, -164?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 758130868 to the power of 1\/2, to the nearest integer?\nAnswer: 27534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 26. Let u be l(5). Calculate the common denominator of -77\/16 and 1\/6*u*(-194)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 120. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -550, -517, -360, -13, 590, 1515, 2828?\n\"Answer: 11*q**3 - 4*q**2 - 32*q - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1939*j*l + 1060*l wrt j.\nAnswer: 1939*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15287913 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 1 + 1)*(-20*w**2 + 17*w**3 + 20*w**2) + 25*w**4 - 7*w**4 + 10*w**4 + (4*w - 5*w + 2*w)*(-w**3 + 2*w**3 + w**3) - 3*w**4 - 2*w**4 + 4*w**4.\nAnswer: 80*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*u + u + 80, 0 = a + 5*u - 23. Let v = a + -28. Suppose v = d - 15 + 12. Solve -d*q = 1 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 3*x - 1930. Is 44 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -18.1. Let w = -2 - g. Are w and -3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h + 165 = 58*h + 40. Sort -2, h, -3, 2, 1.\nAnswer: -3, -2, 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26928)\/47430 + 2\/(-62). What is the nearest to n in -1\/31, 6, 2\/5?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (2 + -3 - 11). Let p = 30 - o. Suppose -32 - p = -3*s. What is the least common multiple of 14 and s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 1266*r**3 + 6*r**2 - 1267*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 5*r**2 - 5. Let c be h(-5). Let l(s) = s**2 + 5 - 7*s + 12*s + 0*s**2. Let b be l(c). What is the highest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-1 - (-4 - 0)). Factor -2*q - q**3 + 4*q - q + a*q.\nAnswer: -q*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 5*d**2 + 5. Determine i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -15. Let u be -5 - (370\/(-80) - (-3)\/24). What is the third smallest value in o, -0.03, u?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 11*y + 46. Suppose 3*q - 4 = 4*k + 46, -4*q - 4*k = -48. Determine m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4347 - 0?\nAnswer: -4347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5593.629 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 - 4339*o**2*x + 314*o*x + 13*o wrt o?\nAnswer: 12*o**2 - 8678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3621 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155?\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-8))\/(-3))\/((-2347)\/65716)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 - 0.3. Let i = 3.6 - z. Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - ((-5 - -4) + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**2 + 6*x. Let z(c) = -c**2 - c. Let u(j) = l(j) + 6*z(j). Let p(o) = o. Determine u(p(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o - 12. Let a(f) be the third derivative of -f**4\/24 - f**3\/6 + 16*f**2. Let b(j) = -12*j**3 + j - 1. Let x be b(1). Calculate x*a(m) + d(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l**2 - 7*l - 5. Let r(x) = 4*x**2 - 4*x - 3. Let t(a) = -4*o(a) + 10*r(a). Let u = 4 - 3. Let c(m) = m**2 - m - 1. What is u*t(k) - 10*c(k)?\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 122)*(2 + -1). Calculate the common denominator of u\/180 - 3\/2 and -73\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 - 26*s + 2. Let h(j) = 13*j - 1. Let g(a) = 4*h(a) + 2*p(a). Let u(y) = y**2 + 36*y. Calculate u(g(l)).\nAnswer: 64*l**4 + 288*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11296716.\nAnswer: 2, 3, 19, 49547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i**2 - 4*i**2 - 5*i**2)*(-2*i - 4*i + 4*i)*(-2 - 1 + 1)*(6 - 13 + 6) to k*i**2 + v*i + l*i**3 + u and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 smaller than 788\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3333, 6768, 10223, 13698, 17193?\nAnswer: 20708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c - 4. Let v(o) = -14*o - 3. Determine -3*d(u) + 4*v(u).\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4690*l - 20 + 2342*l + 21 + 2352*l.\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*h + 40534 = 36503 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.92 - 6. Let u = -5.08 - f. Let p = 4955\/4 + -14873\/12. Which is the second smallest value? (a) 2 (b) u (c) p (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574 + 413 = 23*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Let h = j + 113. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38081149177\/1524301779 + -2\/6598709. Let n = f - -50\/77. Find the common denominator of -53\/4 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142901015.\nAnswer: 5, 547, 52249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 103, 0, -70, 1 in descending order.\nAnswer: 103, 14, 1, 0, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5498 + 5498.2939. Let m = w - -0.0061. What is the smallest value in 2, 5, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 206 + 17 = 0. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 0*z**4 - 2*z**4 + (-z + 2*z - 3*z)*(-4*z**3 + 8*z**3 + 4*z**3).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -23*o**3 + 13*o**2 - 16*o + 13. Let m(y) = -6*y**3 + 3*y**2 - 4*y + 3. Give 2*j(i) - 9*m(i).\nAnswer: 8*i**3 - i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 72. Let s(n) = 0 + 9*n + t*n - 1 + 10*n. What is the tens digit of s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811210 is divided by 2559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 8 - 2*p + 0*p**2 - 17\/3*p**3. Differentiate r(o) wrt o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 5*a + 4. Let r be s(-2). Determine z, given that -2 - r*z - 1\/2*z**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by (3\/1 - 1)\/(10\/130)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 16. Let z be k(-12). Let x be 9\/2 + (-2)\/z. Suppose -2*w + x = -3. Solve -4*g = -w*i - 8, 2*i = 4*g + 4*i + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 1, -0.2, 1\/4, 0 in descending order.\nAnswer: 46, 1, 1\/4, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 62) + 162 + -20\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -14*o + 12. Let z(k) be the first derivative of 23 + 7*k**6 - 5*k**6 + 8*k**5 - 3*k**o - 8*k**5. What is the third derivative of z(m) wrt m?\nAnswer: 720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 less than or equal to 58903\/1044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5 - 5*q + 4 + 3 + 2*q**2. Let k = -15 - -18. Calculate u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13509582433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 + 2380*p**2\/9 - 7154*p\/9 + 4772\/9.\nAnswer: 2*(p - 2)*(p - 1)*(p + 1193)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:22 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117 * 0.2.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42118, -84150, -126182, -168214, -210246, -252278?\nAnswer: -294310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1, -1\/5, 0.1, -1\/12, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-20))\/6*10\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1009 - -9. Round x to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2. Suppose 0 = 5*x + r - 22, -2*r + 7 = 3*x - 9. Let k(t) = 0*t - 6*t**2 - 4*t + x*t. Calculate d(k(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129888 and 72160.\nAnswer: 649440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 22. Suppose 0 = 3*m - 2*z + 5, -2*m + 16 = 4*z - 2. Let b(u) = 3*u**2 + 4*u - 2*u**2 + u**l + 0 + m + 4*u**2. Determine b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431324134 (base 5) in base 10?\nAnswer: 3776794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-3)*5211\/(-2316).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -37, -40, -43?\n\"Answer: -3*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**6\/10 + 39*t**5\/25 + 36*t**4\/5 + 36*t**3\/5 - 28. Factor q(o).\nAnswer: 3*o**2*(o + 1)*(o + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 63*n**2 - 3*n - 176. Give y(-63).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63138 and 1122?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -183, 165, 58 in descending order.\nAnswer: 165, 58, 3, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:57 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -15, -5, 25, 81, 169, 295?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/27059207 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0074915 rounded to 5 dps?\nAnswer: 0.00749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 740546.8 rounded to the nearest one thousand?\nAnswer: 741000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5082*j**3 - 2*j**2 + 2*j + 1201 wrt j?\nAnswer: -30492*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -212422322 (base 5) to base 6\nAnswer: -31220252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**5 - 7857*o**4 - 181794*o**3 - 1330608*o**2 - 2537856*o + 4058112 = 0.\nAnswer: -8, 1, 2642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1104419, -2208836, -3313253, -4417670, -5522087, -6626504?\n\"Answer: -1104417*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*(p*p\/p**(-2\/5)*p)\/p)\/(p\/(p**(-2\/5)*p))**(-7\/8)*p**(1\/5)\/p**7*(p\/(p*p\/p**(-2\/3)))**42 assuming p is positive.\nAnswer: p**(-1621\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 1061*s**2 - 2*s.\nAnswer: 1061*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose 4*w - 2*w = 4, -i*u + 38 = 3*w. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 17*r**2 - 4*r + 4. Give h(-9).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1794341 - 59?\nAnswer: -1794400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/36)\/((-2)\/428) and (10 + -8)\/((-204)\/82).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 * -3\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*k - 9215, 3*j + k - 8860 = -1957. Suppose 0 = 2*h + j + 3616. Is h\/(-14) + (-2)\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 8*x - 33. Let u be b(11). Let v = -102 + 107. Put v, 4, u in decreasing order.\nAnswer: v, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 703\/717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.248 - 3.4. Let p = v + -94.848. Let s = -94.999959 - p. Round s to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3\/6 + 3*q**2\/2 + 6*q + 6. Let l(f) be the first derivative of u(f). Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 2448322?\nAnswer: 2448323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 a when three letters picked without replacement from {a: 5, o: 1, w: 3, z: 4, s: 1, d: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 5. Let i(o) = -2*o + 6*o + t*o. Let x(k) = 14*k. Let y(z) = z. Let h(r) = -x(r) + 12*y(r). What is i(h(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*d + 3579 - 11376 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10149405 is divided by 272?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -56. Suppose -4*n + f*j = -j - 1212, -n + 296 = -2*j. Suppose t = 2*t + 4, 4*t = -5*l + n. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + r + r + 7 = 0, -3*d = -4*r - 19. Let u = -5 - -5. Which is greater: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 3 - 1) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 79. Suppose -2*o + 7*o = n. Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 4 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 387 and 3225.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 17*m + 20. Let r be v(16). Let t be 10 + 0 - (4 - 2). Suppose 2*y + 2*w + 8 = 5*y, 5*y = -2*w - t. Put y, r, 2\/7 in descending order.\nAnswer: r, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*z + 15639 = 50971. Let m(y) = y**2 - y + 7. Calculate the remainder when z is divided by m(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkv when four letters picked without replacement from {k: 5, v: 7}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*w - 532. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 6:04 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/210 + o**6\/45 - o**5\/30 - 82*o**3\/3 - 22*o**2 - 4. Let i(y) be the first derivative of f(y). Factor i(k).\nAnswer: -4*k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 5. Let w(i) = 66*i. Calculate w(j(t)).\nAnswer: -132*t - 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*a**2 - 3*a**2 + 30*a**2 + 0*a**2 - 565*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 27419*b - 15710055\/2.\nAnswer: (b - 55123)*(b + 285)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 15. Let j = z - -3. Let t = -2 + j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*x - 11899*w + 11900*w = -14, 3*w + 0*w = -4*x - 34 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 617064951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-1)**2 + (1 + sqrt(17))*-3.\nAnswer: -3*sqrt(17) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.065 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 + 2*f**4 - 3*f**4 + (-2*f + 10*f - f)*(0*f**3 + 0*f**3 + f**3) + 2*f + f**4 - 2*f + (-2*f**3 + 2*f**3 - 2*f**3)*(54*f - 31*f - 30*f).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, -3, -9, -19, -33, -51, -73?\n\"Answer: -2*y**2 + 4*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17561 - 17956. Which is smaller: -387 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (80\/(-2308))\/(-10)*((-28)\/(-4) - 15). Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -774*b**2 + 15*b - 1916. Let a(u) = 155*u**2 - 3*u + 383. Let n(y) = 11*a(y) + 2*s(y). Differentiate n(d) wrt d.\nAnswer: 314*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192872540 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 4:46 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 41. Solve -3*c - 2*j - v = 0, -5*c + 4*j - 2*j + 15 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742661*g - 371182*g - 371475*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 722 and 15583648.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9248?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.26*-2\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z = -28*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 0*f + 3*f + 3*f + 2*f. Let t be q(2). Suppose -c - t = -5*c. Calculate the least common multiple of c and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 263.\nAnswer: -4\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46721 - 11?\nAnswer: 46710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1. Let j(k) = 6*k - 5. Let n(z) = -j(z) + 4*w(z). Let x = 10 - 16. Is n(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 + -116. Let h = -2085 - -2095. What is the remainder when o is divided by -4 + 36\/5*h\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 s, and 1 y when four letters picked without replacement from ssskxsxxgxsssssxgy?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 721, -4 in ascending order.\nAnswer: -4, -2, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0*k**2 + 4*k - 36 + k**2 - 2*k**2 - 22*k. What is the tens digit of a(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 10297202?\nAnswer: -3\/5148601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(1 + 0 + 1)*(12*u**3 + 7*u**3 + 12*u**3).\nAnswer: -62*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 10. Calculate the remainder when y(-2) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(sqrt(1584) - (sqrt(1584) + (sqrt(1584) + 0)*6)) + (-3*(sqrt(1584) - (sqrt(1584) + 1 + -5))*3)**2.\nAnswer: 1296 + 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {h: 2, d: 2, w: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1486163 times 0.3\nAnswer: -445848.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 559370 = 1918554. Suppose -38*x + 23656 = m. Round x to the nearest 10.\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 0 + -17 + (620 - 628).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.051 - 27.051. Let u = -30 - l. What is the closest to -1 in -0.1, u, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y = -65*y + 264. Calculate the remainder when (2\/4)\/(6 + 781\/y) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109\/2 - 289\/4. Let i(m) = 2*m**2 + 2*m + 4. Let o be i(-4). What is the common denominator of (-470)\/(-28) + (-8)\/o and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3*1)\/((-18)\/(-22032)*17).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -5\/3 (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 e when three letters picked without replacement from eewwwwwwwwwwwwwwww?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5546187500 rounded to the nearest one million?\nAnswer: -5546000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-1377)*-119*(-6)\/(2\/1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 73*z**2 + 8188 + z**3 - 16386 + 8176 as x*z**3 + n + o*z + i*z**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 194 - 4?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 4*l**2 - l. Let p be h(-3). Suppose -p = -12*d + 10*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 53, 166, 353, 620, 973, 1418, 1961?\n\"Answer: v**3 + 28*v**2 - 46*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((5 - 32 - -1) + 19)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/14)*p**(2\/11))\/(p\/(p*p**10)*p*p**(-12)))**(-1\/10) assuming p is positive.\nAnswer: p**(-3251\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 19*k + 61. Suppose 0 = -q + 7*f + 41, 2*f + 13 + 21 = 4*q. Determine p(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 16*o - 15 = 0. Differentiate -6*p**3 + o*p**3 - 2*p**3 - 6*p**3 - 1 with respect to p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 4*m**2 + 4*m**2)*(-1 + 2 - 2)*(2 - 2 + 2*m**3) + (m**4 - 1083 + 1083)*(-2 + 2*m + 2)*(-2 + 1 - 2).\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y. Let s(a) = a. Let f be s(y). Let p = 4 - f. Solve 2*r + 4*x + 2 = 0, x - 5 = -4*r - p*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y + 48. Give w(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 6 = -2*l, 16*q + 6*l - 2*l = 17*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 7179967?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 7*y = -40 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 20. Let l = -1053.3 + 1053. Which is the third biggest value? (a) u (b) l (c) -1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45101 + 74760. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5703657.\nAnswer: 3, 1901219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 18 = -o, -4*r + 2*o + o - 24 = 0. Let c(v) = -v + 4. Determine c(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/q*q*(q**(7\/4)*q)\/q)\/((q\/q**(2\/31))\/(q*q*q**(-2\/13))) assuming q is positive.\nAnswer: q**(12349\/1612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235970 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6 + (-4 - 57\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x - 4*k, x = 5*k - 4 + 13. Let g be (-675)\/18*x*-1. Let t be g\/(-378) - (-1)\/9. Which is the closest to 3? (a) -3 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 24 + 2*x + 21 to f + z*x and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -2*i**3\/3 - 54*i**2 + 102*i. What is the derivative of w(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/12 - 2*g**3 + 7*g**2 + 3*g. Let u be d(10). Let s be 9\/42 - (-3)\/u. Sort s, 2, -1\/11 in descending order.\nAnswer: 2, -1\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let p(t) = t**3 - 2*t**2 + t + 1. Let g be p(0). Let z = -7 + g. Calculate b(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**3 + 48 - 2956824*s - 48 + 2956824*s.\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/3 - (-2 + -3 + 1). Let b be -2*(-768)\/30*1*p. Suppose 5*x - b = 3*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggugguuggugu.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 12*n + 17. Let y be t(-13). Solve 0 = 2*g, -g + 12 - y = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.004 + 0.304. Let t = -0.6 - -0.1. What is the third biggest value in t, -0.1, v, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 2105336*i**2 - 2105336*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4077 and 19630.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/17 less than -59.126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 + -1.8. Let l = -0.6 - t. Which is the biggest value? (a) 0.3 (b) l (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 8*v + 4*v. Let y(n) = -8 - 8 + 16 + 4*n**2. Give m(y(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4 + 42*g. Let f(b) = -10*b. What is i(f(o))?\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130622709.\nAnswer: 3, 7, 6220129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2446?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 5*x. Let s be (-3 - -3 - 1) + 6. Suppose s*y + 8 = -32. Calculate the lowest common multiple of g(y) and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4688 = 23*g, 0 = 4*h - 3*h - 5*g - 1568. Calculate the remainder when h is divided by 132.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26017756 times 0.08?\nAnswer: 2081420.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -111, -224, -375, -564?\n\"Answer: -19*v**2 - 18*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = p - k, 0 = -2*p + 2*k - 5*k + 358. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -99026034 and -297078103\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 24 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1001, -1997, -2991, -3983, -4973?\n\"Answer: q**2 - 999*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2921126, 5842256, 8763386, 11684516, 14605646, 17526776?\nAnswer: 20447906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10 and -13\/606.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*j + j. Suppose -j*w + 10 = 2*w. Sort -7, -4, w.\nAnswer: -7, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + o**4 + 9*o**3 - 3539*o**2 - 2 + 3537*o**2 - 2 as k + z*o**4 + j*o + s*o**3 + d*o**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38\/21 (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + sqrt(13) + 0 - 4*(sqrt(117) + sqrt(13)) - (sqrt(117)*-1 + -3)))**2.\nAnswer: -240*sqrt(13) + 1972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -210137.2615933 + -3\nAnswer: -210140.2615933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:32 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24693131.\nAnswer: 4229, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5624 plus 50?\nAnswer: -5574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = 2*m + x, 5*m + 4*x = -10. Let v(f) = f**3 + 2*f**2 + 3*f + 1. Determine v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5036, -5097, -5156, -5213, -5268?\n\"Answer: b**2 - 64*b - 4973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/42*14\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/36 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a second?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 8*f**2 - 6*f**3 - f**2 + 3*f**3 + 10*f**2. Let h(a) = 2*a**2 + 4*a + 6. What is the least common multiple of g(-1) and h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -1\/6 (c) -17.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*v + 426, -45*v = 2*h - 50*v - 825. Calculate the least common multiple of h and 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m - 0*m, 3*t = -2*m + 11. Put -4, t, -2 in decreasing order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4687195237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 22*q - 39. What is the second smallest value in -12, 1\/6, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47238 = 15*y - 146688. Round y to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y + 10. Let u = 2 + -3. Let v be (4\/(-6))\/(u\/9). Solve -8 = -y*g + v*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*k + 3 + 4, -k + 4 = 2*r. Let n(d) = d - 1. Let f be n(r). Which is the second biggest value? (a) -3 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-2 + 3)) + (1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 divided by -1?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.69 - 1.81. Let d = -0.5 + 0. Let v = d + w. What is the third biggest value in 4\/3, v, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a - 38*a = 2196632. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 25 = 3*b + 7, -5*b + 5 = 0. Suppose 14 = y*f - w, 0*w - 2*w = 5*f - 16. Find the second derivative of 0*s + s + 4*s**f + s**4 + 0*s wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69227 and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*s = -10, -5*z + s - 8 = 5*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000728438612 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**3 + 5*p**2 - 10*p + 5. Let n(a) = 11*a**3 + 4*a**2 - 10*a + 4. Let f(q) = 4*i(q) - 5*n(q). Find the second derivative of f(v) wrt v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10138*r**2. Let t(x) = -16*x**2 - 334. Determine t(c(i)).\nAnswer: -1644464704*i**4 - 334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229741 is divided by 1749?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 440398116 divided by 36\nAnswer: 12233281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**3 + 8605*i**2 - 3520355*i + 3511755 = 0. What is i?\nAnswer: 1, 667, 1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12358 + -11988. What is the lowest common multiple of d and 74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1. Let z be 12\/(-4) + 133 + -1*3. Let g = z - 125. Suppose a + 6 + 15 = 4*x, -5*x + 23 = g*a. Let b(i) = -2*i. What is a*b(t) + 3*m(t)?\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573304900 to the power of 1\/2, to the nearest integer?\nAnswer: 59777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3859*q. Let c(y) = -3 - 2 + 297*y + 5 - 296*y. Give c(v(j)).\nAnswer: 3859*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 41, 3118, 4, -2 in decreasing order.\nAnswer: 3118, 41, 4, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-10)*4\/3. Let t be 2 - (13\/(-26) - 2\/(-4)). Let n(h) = -h**2 - h + 4. Let v be n(t). Sort -5, 3, v, x in descending order.\nAnswer: 3, x, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**5 - 50*y**2 + 35\/3*y**3 - 2 + 60*y + 5\/2*y**4. What is i in g(i) = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92530.\nAnswer: 2, 5, 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2223 - 60?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5 - 16544*x - 16545*x + 33082*x. Let w(l) be the first derivative of -l**3\/3 - 1. What is w(m(v))?\nAnswer: -49*v**2 + 70*v - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by (5 + -10 + 4)\/((-2)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - m**3 + 2*m + 3*m**2 + 4*m**3 + 2. Let r = 12 + -9. Let g be 4\/(-8)*2*r. Give x(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1000221020210011?\nAnswer: -1000221020210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 2. Let t(s) = -3*s - 7. Suppose 5*k + 12*j = 17*j + 20, -3*j = 4*k - 2. Determine k*t(y) - 7*w(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(14\/74) + (-2)\/7. Let h be (-4)\/((-12)\/(-3)) + 40\/w. What is the greatest common factor of 77 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 10. Let d be m(10). Let i = d - -12. Solve 4*p + 0*p = -i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (-5 + (2 - -10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5, 4, -525 in decreasing order.\nAnswer: 4, 3, 2, -5, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110548 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -84 - 8*p - 8*p + 15*p. Let x be l(-19). Let r = -45 - x. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1001*u - 30912 = -143*u + 26574 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -272939, -272933, -272927, -272921?\n\"Answer: 6*z - 272945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 + (7 - (3 - 2)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 2:10 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*25\/(-350))\/(8 + -2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.3486 + 0.3486. What is the nearest to 0.2 in -3, -0.5, -2, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9609859.6 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h. Let j(o) = -50*o**2 - 14*o. Let v(a) = -57*a**2 - 16*a. Let k(z) = -8*j(z) + 7*v(z). Give k(m(s)).\nAnswer: 169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 29*z - 109. Let x be f(-14). Calculate the common denominator of -97\/2 and 4 + x\/210 + -3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 852 and 90028852?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -980554.79699 - -980546. Let i = a - -8.597. Let m = 0.2 + i. What is m rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.00904 + -3.00904. What is the nearest to 0.3 in t, 2\/9, 5\/3, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -829, -1983, -3137?\n\"Answer: -1154*m + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29100, -29156, -29220, -29292, -29372?\nAnswer: -29460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*r + 2*r**2 + 0*r**2 - 174*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i**2 + 0)*(0*i + i**2 + 0*i) + i**2 - i**2 + 15*i**4 + 0*i**2.\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(-22)*((-4)\/2)\/24?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z - 12*z + 304*z to the form i*z + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008889 to 4 decimal places.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 - 295\/2. Find the common denominator of 17\/14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/73231 + 659071\/146462. Let 21\/4*f + g + 0*f**2 - 3\/4*f**3 = 0. Calculate f.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from tqttqttt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 1. Let i(r) = -3. Let c be (22 - 136\/6)\/((-4)\/(-6)). Determine c*i(y) - 4*u(y).\nAnswer: -4*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/4 - 105*k\/4 - 226 = 0. Calculate k.\nAnswer: -8, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - (-1 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 20 + 7700*g + 39 - 9 as c + o*g and give o.\nAnswer: 7700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/42 - 9\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 5. Let g(u) = u**2 + 2. Suppose 0 = -4*z + z + 9. Suppose 0 = 4*l + b + 12, 0 = -z*l - 3*b + 2*b - 8. What is l*c(r) - 10*g(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 64 (b) -26 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 8 = 19*j. Solve 3*g - j = 5*g + 3*f, -g + 4*f = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 3*u + 2 - 59, 21*l - 454 = 4*u - 487 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 8 = -5*r + 28, -4*p - 25 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 - 216. Let m = z + 61. Solve 2*j + s + 30 = -m*j, 4*j - s = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355237, -355236, -355235, -355234?\nAnswer: -355233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 7*i**2 - 586*i - 4096. What is k(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -276, -422, -576, -726?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Let v be ((-45)\/(-30))\/(w\/2). Solve -11 = 3*u + v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*t + 6. Solve 0 = 2*z - 5*z + t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 24*t + 16*t - 10*t.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 82 + 479. Let b(z) = -z**3 + 5*z - 1. Let a be b(5). Let w = l + a. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 19*a**2 + 34*a + 19. Let p be o(-17). Solve 0 = p*f - 22*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(0 + -1)\/(-11 + 10). Sort n, 3, 0, 2 in increasing order.\nAnswer: n, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 16*f**2 + 17*f + 2. Suppose 14*j - 204 = 2*j. What is the smallest common multiple of 214 and h(j)?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:43 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 500 and 300?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 15*l + 21. Let v(r) = r**2 - 8*r - 11. Let u(f) = -11*v(f) - 6*z(f). Let i = -5 + 15. List the prime factors of u(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -8, o + x + 61 = 6*o. Calculate the remainder when 47 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -1877477.3819.\nAnswer: -1877477.4819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -2\/31, 3\/10 in decreasing order.\nAnswer: 5\/2, 3\/10, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + b + 2*b = 1311, 0 = -4*b - 12. Suppose 0 = 56*u - 641 - 31. Calculate the greatest common factor of z and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5065*f**3*i - f**3 + 6*f*i + 573*f + 2*i wrt f.\nAnswer: 30390*f*i - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14460431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 9*c - 25. Let x(m) = -3*m**2 + 5*m - 13. Calculate 6*f(d) - 11*x(d).\nAnswer: 3*d**2 - d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*k - 5, 3*k = 5*c - 0*c - 2. Let s be -3 - -2 - (-70)\/c. Suppose 5*y - s - 11 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1034*x - 2 + 8.\nAnswer: -1034*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 794.2 + -7\nAnswer: 787.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 27609099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**8\/6720 + w**7\/840 - w**6\/240 + w**5\/24 + w**4\/4 - 5*w. Let n(i) be the third derivative of m(i). Give n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h - 12. Determine q(9).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*(32 + -15 + -23).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*j = -36850 + 34890 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3621 - 250*q**4 + 516*q**4 - 264*q**4)*(3*q + q - 2*q).\nAnswer: 4*q**5 + 7242*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(12\/5)*x*x)**(2\/25)*x**(-14\/9)\/(x*x\/((x\/x**(-14))\/x)*x) assuming x is positive.\nAnswer: x**(11021\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-263 + 263 + 26*p**2)*((1 + 3 - 3)*(-3*p + 3*p + p) - 123 - 7*p + 123).\nAnswer: -156*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 10*o + 312. Let a be y(15). Let n(u) be the second derivative of 0*u**2 + 1\/3*u**4 + 0 - 4\/3*u**3 - a*u. Solve n(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 + 17)*1\/1. Solve -p - 1 = 3*n, c*n = -3*n + 5*p - 31 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e07 + -e?\nAnswer: -2e15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 14*u**2 + u + 14. Let w = -5259 + 5245. Calculate k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266473653 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3.9. Let j = 41 - 42.5. Let n = 1.6 + j. What is the closest to a in 3\/7, n, -7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3966 is divided by 308.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -15*m - 8. What is q(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 12*m**2 - 9*m - 18. Let s be d(11). Let q(l) = -2 + 4*l + 3 - 4. What are the prime factors of q(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2783, 2780, 2777, 2774?\n\"Answer: -3*v + 2786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 divided by -588?\nAnswer: -137\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 8*c**2 - 8*c + 29. Let y be l(-6). Suppose 0 = -5*j - 15, -3*h + 3460 = 2*h - y*j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 7*l + 3*l + 1 + 32*l**2 as d*l**2 + y + s*l and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + 109*z**2 - 33*z - 52. Let n be l(36). Calculate the highest common divisor of n and 588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -9*s**2\/2 + 5*s - 24. Let o(p) = 14*p - 7. Give 8*a(d) + 5*o(d).\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 2*q - 4. Let g be d(-4). Let b = g + 26. What is the lowest common multiple of 9 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4\/4 - 87*c**3\/4 - 357*c**2\/4 + 4335*c\/4.\nAnswer: -3*c*(c - 5)*(c + 17)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8529163 bigger than 8529161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/19)\/((j**(2\/21)\/j)\/j))**(-26\/7)*j**(-7)\/j**(-2\/3)*((j\/(j\/(j*j*j**8))*j)\/j)\/j*j*j*j**(3\/4) assuming j is positive.\nAnswer: j**(-4719\/3724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88 - (4\/1 + 0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0*i + 0*i + 110*i**2 - 111*i**2. Let u(f) = -5 + 4 + 8 - 6*f**2. Let x(k) = -3*k**2 + 4. Let r(n) = 4*u(n) - 7*x(n). Determine b(r(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 623.689 kilograms?\nAnswer: 0.623689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13156 - -13222. Let m(s) = 16*s. Let q be m(4). Is t greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l + 5, -3*d = 4*l + 29. Sort d, 5, -2.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2647253 + 6115198 = 111*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(72) + -5*(-3*sqrt(2))**2 + sqrt(2))*-3.\nAnswer: -21*sqrt(2) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*i = -1226 + 1206, 0 = 4*f - 2*i - 36 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (-4*((sqrt(1900) - (4 + sqrt(1900) + 0 + sqrt(1900) - sqrt(1900))) + (sqrt(1900) + 0)*3)*-2)**2.\nAnswer: -15360*sqrt(19) + 1095422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 592*t + 3 + 296*t + 300*t - 7 + 9.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3791412544.\nAnswer: 2, 47, 61, 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - 0.47. Let v = -0.1 - 0.1. Let c = -0.4 - v. What is the second biggest value in 3\/8, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + g. Let t be f(-1). Let k(n) = -6 + 6 - t*n**2. Let b(i) = i**2 + 28 - 28 - 3*i**2. What is k(b(y))?\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - (0 - 1) - (-2060 - -2029)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 926858402*u**2 - 989683876 wrt u.\nAnswer: 1853716804*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.24474 months to years.\nAnswer: 8.770395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113728 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16594?\nAnswer: 2, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(3\/8)*k)\/k)\/k*k**5)\/((k*k*k**3)\/(k**2*k))*(k\/(k**0*k))**(12\/5)\/(k*(k\/(k*k*k**0\/k))\/k*k*k\/(k\/(k\/((k**(-1\/3)*k)\/k)))) assuming k is positive.\nAnswer: k**(25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52, -87, -120, -151, -180, -207, -232?\n\"Answer: r**2 - 38*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-175) + 2\/((-70)\/(-80)*-4)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -438272.8, -5\/4, -2?\nAnswer: -438272.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*g + 733 = 234*g + 29652 + 8611 for g.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 5, 4, -2\/75, -8, -0.151, 11?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c + 12. Let h be (-5 - -2)*c\/(-768). Let z = h + -1765\/2304. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/16988 and 85\/248?\nAnswer: 33976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36396163 is divided by 18198042.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -5\/21*i**3 + 249*i + 0 - 6\/7*i**2 - 1\/42*i**4. Find w, given that m(w) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 828252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxxxoooxoxxox. What is prob of picking 3 o?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**3 - 3*f**2 + 18*f. Let q be d(2). Which is bigger: -19 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289609241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/10 and 55\/452074.\nAnswer: 2260370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -831, -1449, -2491, -3963, -5871?\nAnswer: -8221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30528 and 13780?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -47, -28, -11, 4, 17, 28?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(45\/(-6)))\/(48\/(-504))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/6 + 13*u**5\/4 + 115*u**4\/12 + 55*u**3\/6 - 90*u - 2. Factor v(z).\nAnswer: 5*z*(z + 1)**2*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (2 + (2 + sqrt(252))**2 - sqrt(252))).\nAnswer: -508 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 22*v - 112. Determine z(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*g - 469 + 439 = 0, 3*g = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 39*i = 246 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*g - 874 = 8639 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 82285745?\nAnswer: -82285747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 64?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*d*p**3 - 277*d*p + 30*d - 13*p**3 + 48992*p**2 + 2*p wrt d?\nAnswer: 39*p**3 - 277*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h + 4*t + 2, 4*h + 4 = 5*t. Let d(m) = 2*m - 10. Let g(k) = -78 - 73 + 235 - 83. What is h*d(w) - 5*g(w)?\nAnswer: -2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 1436 + 2745 = 1489 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 12. What is the first derivative of -g**2 - 4 + 5*g**2 + c wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24465184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 24970*p + 845485. What is x(34)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -0.2 (c) -54563 (d) 1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwvxdxxwxddwevdxxfd. What is prob of sequence dxd?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*b**5 - 3669*b**4 + 77715*b**3 - 35031*b**2 - 135942*b - 19800 = 0. Calculate b.\nAnswer: -25, -1, -2\/13, 12\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 12707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 27*y - 14. Suppose 16*d + 35 = 11*d. Let w(f) = 26*f - 14. Let u(h) = d*w(h) + 6*a(h). What is the derivative of u(o) wrt o?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294078663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29570)\/(-53226) + (-1129)\/(-9).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 8*u**2 + 9*u + 8. Let m be b(9). Suppose 3*w - m*w = 0. Solve -5*k = -w*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03332037 rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -2034.861 and 904850.3.\nAnswer: 902815.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/((-28)\/(-1344)*16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389030362.\nAnswer: 2, 7, 1063, 26141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**3\/2 + 38350569*p**2\/2 = 0.\nAnswer: -12783523, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153)*2)\/sqrt(9) + 0 + -3.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213 + -304. Let v = i + 91. Let w(j) = -10*j - 6. Let x(n) = 7*n + 4. Let t(m) = 5*w(m) + 7*x(m). Determine t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/k*k**(1\/4)\/k*k*k*k)\/(k*k**(1\/3))**34 assuming k is positive.\nAnswer: k**(-469\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 35*z**2 + 39*z**2 + 51*z**2 - 124*z**2. Let q(d) = -7025*d. Calculate c(q(w)).\nAnswer: 49350625*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546774 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = q + 4*q - 109, 3*q - 64 = -s. Is 16 a factor of 1\/7 - (-774)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15173360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 16) to base 5\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaassqsysysasarsassm. Give prob of picking 2 a.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**2 - 2*w + 0*w + 2*w.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1024 and 7168?\nAnswer: 7168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5730 - 3432. List the prime factors of t.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90088414?\nAnswer: 2, 13, 37, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -24\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159659757 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3)*(208*v**2 + 80*v**4 - 208*v**2).\nAnswer: -240*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**5 - j**3 - j**2 + j. Let u(f) = f**5 + 23*f**4 - 91*f**3 - 67*f**2 + 38*f. Let q(d) = 5*u(d) + 20*y(d). Let q(v) = 0. Calculate v.\nAnswer: -7, -1, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 47*a - 4180. Let b be p(89). Let t(u) be the third derivative of 0 + 1\/12*u**4 + 0*u - 1\/6*u**b + 1\/30*u**6 + 17*u**2 - 1\/30*u**5. Calculate t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((-1)\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w + 9*w = 71808. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 167 (base 11) to base 7\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 2*o + 3*o - 2*o. Let w(d) be the first derivative of 3 - d**2 - 5 + 2*d**2. What is w(x(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 368940 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-15)\/f**(2\/53) assuming f is positive.\nAnswer: f**(-797\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -1779917312297?\nAnswer: 1779917312292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - -510447585.42.\nAnswer: 510447586.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2904292446.\nAnswer: 2, 3, 11, 157, 241, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1575720 or -1575792?\nAnswer: -1575792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(7 + 10633810\/(-1519111)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 18. Let g be b(11). What is the derivative of 3 + 3*q - g*q + q wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3307*k - 19836. Give n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067.\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**5 - 5*u**4 - 5*u**3 + 3*u + 5. Let t(n) = -n**5 - n**4 - n**3 + 1. Let b(c) = -g(c) + 5*t(c). What is the second derivative of b(h) wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5*1)\/(28\/(-35))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 21. Let o be z(8). Suppose -90 = o*d - 8*d. Let n = 42 - d. What is the remainder when 21 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2405986728.\nAnswer: 2, 3, 53, 1891499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89678.95ug in grams?\nAnswer: 0.08967895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6651*b - 6600*b - 1073499. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*u - 1070 = -310*u. Solve -2*x - 20 = -m - 4*m, u*m = -x + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.12059 rounded to two dps?\nAnswer: -23.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 44*u + 199. Let b be q(-48). Suppose 4*j = b*j - 51. Solve -13 + j = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - (-23)\/(-3). Let g = -77 - -92. Let a be (4 - g)*(1 + j). Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttm when four letters picked without replacement from {t: 3, m: 1, h: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66809 divided by 6.\nAnswer: 66809\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 269282339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*d + 2*d - 9, 69 = 5*o - 3*d. Let q be 9\/6 - (5\/2)\/(-5). Factor -o*k**3 + 10*k**3 + 7*k**q - k**2 + 4*k + 7*k**3.\nAnswer: 2*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 196266.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 + 3. Let r(k) be the first derivative of 5*k**3\/3 - 4*k + 5. Let z(x) = -3*r(x) - 4*y(x). Let s(b) = 2*b**2. Determine z(s(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -156791 (base 15) to base 14\nAnswer: -1ccdc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 723764.3mm?\nAnswer: 723.7643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 337 - 335. Let b(w) = -30*w**2 - 42*w + 18. Let v(h) = 7*h**2 + 10*h - 4. Let n(i) = d*b(i) + 9*v(i). Factor n(g).\nAnswer: 3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 8*s - 3*s)*(-3*s**2 + 2*s**2 - s**2) + (-4 - 7*s**2 + 4)*(2 - 2 - 2*s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -5 - (1 + 0). Let a = 49 - 131. Let o = -55 - a. Calculate the highest common factor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10751 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79465217?\nAnswer: 13, 6112709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**2 + 9*f + 8. Suppose 4*m + 17 - 13 = 2*i, -m = -4*i - 6. Let l be t(m). What is the highest common divisor of l and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*u - 6 = 0, 2*r = -2*r + 3*u + 1. Let m(b) = -r + 6*b - 7*b + 10. Let i be m(0). Is i >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 76?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -13, -4, -1, 1 in decreasing order.\nAnswer: 18, 1, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 - -148 - (13 - (-1 - -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -280 + 432. What is the highest common factor of n and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 2:43 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4 - (10 + -13). Let n be 2\/(-28)*6*36\/27. Which is the closest to -1? (a) h (b) n (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -57 + 2*n - n**3 + 7\/12*n**4 + 0*n**2 - 1\/20*n**5. Determine m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - z - 1. Let s be g(-1). Suppose -14 = -2*t + 2*w, 3*t - 4*w = 4*t + s. Suppose r = -5*c + 110, -t*c + 125 = -0*c - 2*r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) 1 (d) 2 (e) 244\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - q = 4*q, 0 = -4*o - 3*q + 35. Suppose -10 = o*x - 115. What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 2*p + 1 = 9*a, 4*a - 2*p + 26 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3646 + -3660. Put 8, -4, 3, m, 2 in decreasing order.\nAnswer: 8, 3, 2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5963 + 7740. Calculate the remainder when v is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 425 + -425.0000932. Round b to six decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83307 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/6)*g)\/g*g**5)\/(g**(-3)*g*g*g**6*g) assuming g is positive.\nAnswer: g**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0378 - 1.7378. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 7*l + 19*l + 7*l - 12*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 35. Suppose j = 5*z - 37, -j + 4 = 5*z - 39. Let s be f(z). Is (-2 - s)\/(-2)*-2174 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - sqrt(9)*-3) + 0.\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 764 and 196478453.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (1 - (35 + -16) - -26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 0.32, 317?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Suppose 2*u + 2*m - 6 = 0, u + m - d = -3*u. Solve g + 4 = -3*g + 4*z, u = 4*g + 4*z - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -21598 greater than -21602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + w**3 + 0*w**3 + (1 + 2*w - 1)*(-3 + 5 - 3)*(-4 + 1 + 1)*(-4 - 3*w**2 + 4) in the form p + x*w + f*w**3 + y*w**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-3) - 2 - 2)\/(72\/216)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 1122*i**3 + 3384*i**2 - 3390*i + 1131.\nAnswer: -3*(i - 1)**3*(i + 377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*2\/(-12))\/(-6).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -2*w. Suppose 2*s - 5*n - w + 6 = 0, 5*s - 7 = 4*n. What is the least common multiple of 10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3 = -f, 0 = -11*f + 6*f - 25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c - 27 + 33 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (130\/13)\/50*-1. Sort -0.01, g, -5\/3 in increasing order.\nAnswer: -5\/3, g, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*5)\/(3\/6). Let l = -7 + y. Suppose 0 = -3*r - l*a + 3, -a - 20 = 3*a. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 21*r - 8. Determine j(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y - 6 + 75 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 567*n**2 - 15336*n + 442260.\nAnswer: 3*(n - 210)*(n - 18)*(n + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**3 - 18*f**3 + 33*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 228 - -102. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 0.09?\nAnswer: 4.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 7. Let o be n(4). Let a be (-72)\/(-81)*(-6)\/(-8). Let j = a + 1\/12. What is the second smallest value in o, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:20 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22220 + 11?\nAnswer: -22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 970948 divided by -88268.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.784014 to two decimal places.\nAnswer: -85.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 118 = 2*s + 4*s + 8*v, 426*s - 431*s - 80 = -10*v for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 66323?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heyx when four letters picked without replacement from {e: 3, z: 1, j: 5, x: 1, h: 3, y: 4}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c**3 - 53*c**2 - 109*c - 39. Determine f(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4297*r - 4293*r - 42 = 6*l, -3*r - 2*l - 36 = l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 - 1)*(2*g**3 - 6*g + 122*g**2 - 122*g**2) in the form a*g + m*g**3 + n*g**2 + k and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -70947 + 605. Suppose 15061 = 3*d - f. Let a = d - 1205435\/72. Find the common denominator of a and 53\/2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n + 5. Suppose -4*w - 20 = -9*w. Suppose -4*l - 22 + w = -u, 2*l = -u + 24. Calculate the remainder when c(6) is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.489401 + 1266.244899. Let g = -1292 + r. What is g rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 w when four letters picked without replacement from izwpppzkwixwxpkpp.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/408 - 16\/(-408)*7. Let f = 4.02 - 0.02. Let q = f + -3.6. Which is the smallest value? (a) q (b) 3\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.1 (c) 3 (d) -1\/3 (e) -6062523\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -532a1?\nAnswer: -53297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -27, 12 in descending order.\nAnswer: 12, 5, 4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5808*u**2*v**2 - 12939*u**2*v wrt v?\nAnswer: -11616*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 2. Let r be k(-2). Suppose 12*b - r = 11*b. Let a(z) = 5*z + 5. Let y be a(4). Solve 0 = b*d + d + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0, 8, 4\/5, 0.4, 79, -37 in descending order.\nAnswer: 79, 8, 4\/5, 0.4, 0, -3\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by 18495\nAnswer: 74\/18495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -343*r + 335*r for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**45*o)\/o)\/(o*o\/(o\/((o*o*o**(-21)*o)\/o))) assuming o is positive.\nAnswer: o**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30624012 smaller than 244992105\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1658907.3 months to decades.\nAnswer: 13824.2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 134586 and -32.\nAnswer: 134554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1922 by 33609.\nAnswer: 1922\/33609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 3\/7, -899.4, 0.4, 5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/((-2)\/(-6)). Suppose 0 = 2*j + 17*j - 133. Find the first derivative of -k - 2 + j - 2 - 8*h wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -276 - -1362. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 199364 and -3.\nAnswer: 199361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 0.0874 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**3 - 3*u**3 + 2*u**3)*(-3 + 5 + 0)*(2 + 3 - 4).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31944, 63944, 95944?\n\"Answer: 32000*r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m. Let w be v(-1). Let c = w + 11. Solve 12 = -2*i + 2*l, -2*i - 5*l = 2*i - c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 2*t + 2*t**2 + (3*t - 2*t + t)*(-t + 3 - 3) + 0*t**2 - t**2 - t**2 - 919 + 13*t**2 + 919 to the form u*t + f + v*t**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4677 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -19*q**2 - 2*q + 1. Let n(y) = 75*y**2 + 3*y + 6*y + 609495 - 609500. What is -2*n(l) - 9*t(l)?\nAnswer: 21*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720880 times -2?\nAnswer: -5441760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - -6)*(-13)\/4. Find the second derivative of -d**2 - l*d + 10*d**2 + 18*d wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20463.\nAnswer: 3, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 4*m**2 + m. Let z be w(-5). Suppose -2*g + 7*g = z. Suppose -g*c + 33 - 1 = 0. Calculate the highest common factor of c and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 12*x**2 + 2*x - 1. Let s be f(1). Let k be 3 + -4 + 1 + s. Calculate the highest common divisor of k and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -196853 and 16.4.\nAnswer: -3228389.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -58. Are 0.96 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3031 - -3065. What is the lowest common multiple of 11 and r?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, n: 5, d: 1, a: 3, p: 1, q: 1}. Give prob of picking 1 p, 2 a, and 1 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-90)\/10*(-2)\/9. Suppose -3*l + y + 162600005 = x, -13*l + 54200025 = -12*l - 5*y. What is l rounded to the nearest one million?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7934*c**3 - c**2 + 935*c + 51. Let j(v) = -7935*v**3 - 2*v**2 + 935*v + 68. Let o(d) = -3*j(d) + 4*n(d). What is the third derivative of o(x) wrt x?\nAnswer: -47586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 - 16*t + 8. Let w be f(7). Let v be (-1)\/(-3) + 3\/18*w. Suppose 5*l = 88 + v. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gly when three letters picked without replacement from {v: 4, i: 4, l: 2, y: 1, g: 6}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugc when three letters picked without replacement from jcgjujc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(6\/(-33) + 2808\/14718). Suppose -11*w - 4*u + t = -7*w, -4*w = u - 3559. List the prime factors of w.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from gmyrgeeeeygyeyeeymm.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -535729 or -535728?\nAnswer: -535728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3513*r - 67034. Determine n(19).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3773 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:07 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 3, -1, 2203 in decreasing order.\nAnswer: 2203, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16*l = 14*l - 1178, 3*i + l - 891 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4 + 137*s**3 + 22*s + 10589 with respect to s.\nAnswer: -4*s**3 + 411*s**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 530508878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -683 - -688. Let t(d) = 5*d + 43. Let f be t(-9). Which is the second smallest value? (a) s (b) f (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 7, 54, 5.\nAnswer: -1, 2, 5, 7, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6314 - 6288. Solve 25 = -5*s, -j = -3*w - 4*s + 8*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6138048 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*n + 23*n - 94314. Let a be ((-4)\/(-12))\/((-1)\/n). Suppose 3*k + 6 = 0, 2*k = 9*p - 4*p - a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 71, -40, -259, -622, -1165?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13639 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*m + 21413 = -1310*m - 626*m + 96248 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r*r*r**(-5))))\/(r*r\/r**12*r*r) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a - 47. Calculate the least common multiple of 86 and u(11).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)**32*m**2*m*(m*(m\/(m*(m\/m**(-6))\/m*m*m))\/m)\/m assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 535928.67 and 50.6?\nAnswer: 535878.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u - 8. Let z(i) = -4*i + 8. Let y(a) = 3*m(a) + 4*z(a). Suppose x - 12 = 2*w, -5*w + 6*x - 4*x = 31. List the prime factors of y(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8272, 33468, 75578, 134596, 210516, 303332?\n\"Answer: -h**3 + 8463*h**2 - 186*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1515 + 1?\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/9 - 59*k**2\/9 - 115*k\/9 - 19\/3.\nAnswer: -(k + 1)**2*(k + 57)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.3041612 and 1.199.\nAnswer: -3.1051612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.143773 rounded to the nearest integer?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2136*a**4*o**2 - 2*a**3*o**3 + 3*a**3*o - 9*a**2 + 378812*o**3 wrt a?\nAnswer: -51264*a*o**2 - 12*o**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.19 - 2.1. Let g = 0.59 - y. Let i = 0.1 - 1.1. Which is the closest to i? (a) g (b) 1\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2910 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -20*g**2. Let q(t) = 936*t. Determine q(c(l)).\nAnswer: -18720*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -6179200 and -6179200 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -783\/2 - -391. Let h = 236 - 239. Sort x, 0.3, 1.6, h in decreasing order.\nAnswer: 1.6, 0.3, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.55 + -2.56. Let v = 0.01 + b. Let g(c) = -c**2 - 3*c + 23. Let w be g(4). Sort v, -2, w.\nAnswer: w, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -6569430505\nAnswer: -6569430504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 74 - 278. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -91. Suppose 22*c = 21*c + 31. Calculate the remainder when w is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 4*h**2 - 4*h + 2. Let k be d(2). Is (k + 584)*3\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.4 + -2.6. Let y = -11 - a. Let w be (-100)\/75*(50\/28 + -2). What is the closest to y in w, 2, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 633.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7329, 7338, 7347, 7356?\nAnswer: 7365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -391*m**3 - 4*m**2 - 8*m - 3. Suppose 417*l - 413*l = -4. Is 56 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 13*s**4\/4 - 13*s**2 - 5. Find the second derivative of g(y) wrt y.\nAnswer: 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1594*v + 1614*v + 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 2\/7, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -6. Let x be 4\/(-14)*m\/(-6). Let d = 23.96 - 23.46. What is the third biggest value in -5, d, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49371924 divided by 14?\nAnswer: 3526566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 403*k - 5. Determine x(-1).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -308 + 62. Let t = z + 246.2. Which is the nearest to -2? (a) 3 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + 6) - (-4 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -103513 divided by -6089\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527172 and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/4 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/8 (b) -1\/7 (c) 2\/13 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7624 and 2672.\nAnswer: 2546416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2732783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 335855.4ug in milligrams?\nAnswer: 335.8554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 62, 85, 104?\n\"Answer: -2*j**2 + 33*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 5*z. Let i be -2*z*(2 + -3). Suppose -5*a - 1 = 2*f - i, -3*a + 4*f = -11. Sort -5, 4, a in ascending order.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001347 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from iqqwqppppidd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.9295 to zero dps.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -136, 4, 224.\nAnswer: -136, 4, 135, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43398180818*r - 26*r**3 - 43398180818*r.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/17 - 546*n\/17 - 1100\/17 = 0 for n.\nAnswer: -2, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-62)\/10 - (-1)\/5. Let x be m*(0 - (-4)\/(-3)). Suppose 0 = 5*j - 6*j + x. Solve -d = d - j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/6)\/((x**(3\/4)\/x)\/x)*(x**(-4)*x)\/(x*x\/(x**(-2\/13)\/x*x))*(x\/x**(-8\/3)*x**(-11)*x)**(-2\/57) assuming x is positive.\nAnswer: x**(-1645\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-100)\/(-16))\/(10\/16). Suppose 2 = -k - 3. Let f be (-13)\/k + (-6)\/h + 1. Let y(t) = -t**2 - 3*t + 1. Calculate y(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 11 + 5)*((0 - 1 + 0)*(-x + 4*x - 2*x) - x + 0*x + 0*x - 4*x - 2*x + 4*x - x + 0*x + 2*x + x + 1 - 1 - 1 + 1 + 3*x + (-x + 4*x - x)*(0 - 8 - 2)).\nAnswer: 190*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16786 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -169*w**3\/3 + 8104. Let z(i) = 3*i**2. Give s(z(n)).\nAnswer: -1521*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0.2 (c) -4\/13 (d) -3\/4 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 635\/3616 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) + 5)*-5.\nAnswer: 5*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by -7?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -243055 (base 6) to base 2\nAnswer: -101001110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 14 - 14)*(-4*g + 4*g - g**2)*(-4*g - 2*g + 5*g).\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in 4, -6904, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 2*l - 3*l)*(-1713*l + 559*l - 3658*l - 3353*l) as d + c*l + k*l**2 and give k.\nAnswer: 16330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, e: 3, t: 2, u: 1, g: 6}. Give prob of sequence gugt.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2584 = -3*t + 3*s, -t + s = -860. Suppose -11*x = -3*x - t. What is the remainder when x is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d - 6. Does 16 divide x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18666 + 320979 = -3713*x + 68596 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2692*a**3 + 242616*a**2 + 465088*a - 61824 = 0.\nAnswer: -2, 84\/673, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/3, 1\/6, 13\/57 in decreasing order.\nAnswer: 13\/57, 1\/6, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)**(-9)\/(f**(-10)\/(f\/f**5)) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 8 = 11*m. Solve 9 = -m*u - u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 5. Suppose x + x + 10 = 0. Let g(k) = 91 - k**2 - 4*k - 85 + 4*k. What is x*g(w) - 6*z(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -522.77 + 525. Let z = d + 2.77. Which is the closest to -3? (a) -4 (b) -2\/71 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paj when three letters picked without replacement from jjpaayjjp?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 1182*n + 349281.\nAnswer: (n + 591)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(-1 + (sqrt(99) + 5 - (-5 + 1 + sqrt(11)))**2 - (-1*2*sqrt(55))\/(sqrt(5) + -2*sqrt(605) + sqrt(605))).\nAnswer: 179*sqrt(11) + 622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*t**4 - 2*t**3 - t**2 - t**3 + 4*t**4 - 1 to q*t**4 + h*t + d*t**2 + i*t**3 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -606.7 + 582. Let v = -24.793 - g. What is v rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00797 at most as big as -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 10*k - q + 18 = 6*k, 52 = 4*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3623, 3612, 3583, 3530, 3447?\n\"Answer: -i**3 - 3*i**2 + 5*i + 3622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -c1?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 5, o: 3}. Give prob of sequence os.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygdgdbmggyd. Give prob of sequence ymgy.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16398 and -253?\nAnswer: 253.16398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 - 181. What is g(13)?\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 1\/3, -0.1, 5 in descending order.\nAnswer: 5, 1, 1\/3, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 4. Let g be (-2)\/b - 0\/10. Let s be 12*(1 - (1 + g)). Calculate the highest common divisor of 96 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 47, 163, 385, 749, 1291?\nAnswer: 2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -4.5. Let o = d - -1. Let f = -0.2 - -1.2. Which is the closest to 0.2? (a) 5 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -17. Let k = 1 + -2. Let h = -1.1 + 1. Which is the nearest to -1? (a) k (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 3*i**2 - 1. Let f be m(3). Let j(o) = -35*o**3 + 2*o + 2. What is the units digit of j(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + 4956*g - 4956*g.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * -0.17.\nAnswer: -3.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s = 180. Let h = s + -104. What is the tens digit of -4 - 42\/(-6) - (h + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4493 and -5017 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*w + 20, 1 + 4 = p + 3*w. Solve 2*a + 5*j = -p, -2*a + 3*j + 4 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68044 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.93002ml to litres.\nAnswer: 0.04193002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677753423 to the power of 1\/3, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2, 8 = -2*p + 7*p - 4*l. Suppose -3*j = p, -3*z + 3*j = -650 - 3895. Is 101 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135476 + 21139 = -1131*h - 1528*h for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -300, -608, -924, -1254, -1604?\n\"Answer: -f**3 + 2*f**2 - 307*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141457681?\nAnswer: 3, 11, 19, 3415403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/416 and 13\/128.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 319661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-1 + sqrt(2) + 0)*-1 + sqrt(2) + sqrt(200) + sqrt(162)*1 + sqrt(162))*1*-6)**2.\nAnswer: 2016*sqrt(2) + 56488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/35 + 18\/45?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -658? (a) 1\/2 (b) -56 (c) 0 (d) 0.2 (e) -0.2 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.13, 4, -6\/7, -1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**3 + 2*q**3 + 2*q**3 + (14*q + 12*q - 3*q)*(0*q**2 - 2*q**2 - 2*q**2))*(4*q - 2*q - 4*q) as c*q**2 + w*q + s*q**3 + k + y*q**4 and give y.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1075*m - 538*m - 2 - 536*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88361.4ml in litres?\nAnswer: 88.3614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13327442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5198*q**4*w - 573*q**4*x + q**3*x - q**2*w - q**2 - 195*q + 9131*x + 2 wrt q?\nAnswer: -124752*q*w - 13752*q*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzmzz. What is prob of picking 3 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-63)\/36 - -2 - (-10654)\/8. Suppose -9*j = -180 - v. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159\/2 + -5419\/70. Calculate the common denominator of j and 17\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 + 329 - 482*v**3 + 259*v**3 + 225*v**3 - 167.\nAnswer: 2*v**3 + 358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 310*z**2 - 22*z - 62. Is 18 a factor of q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1105787 smaller than -2211571\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97775?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5821, 0.3, 4\/7, 3.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 c, and 1 d when four letters picked without replacement from ococycudooo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8541354 is divided by 2818?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/(-5))\/140)\/((-2)\/(-8)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {h: 5, u: 1, i: 5, c: 1, q: 5}.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629*w = -643*w + 28. Solve 8*n + w*n = -10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 30. Let x(v) = v + 30. Let k(i) = -6*x(i) - 5*z(i). Differentiate k(s) with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916725 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -90*c**3 + 2*c**2 - 1. Let w be p(1). Let n = w - -109. Suppose -15 = f - 5*a, f + 3*a - 11 = -2. Solve 5*d - n = 5*v, -4*v + f - 21 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121 - 1001?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 263.7 - 261.7. What is the closest to x in -1\/2, 2, -0.07, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1837134677\/3080890 - -3\/308089. Let l = 597 - n. Let h = l - 11\/10. Put 0.2, -4, h in decreasing order.\nAnswer: 0.2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2)*4*-3. Let h(t) = t**2 - 11*t + 12. Does 5 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183286 and 3616?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9148661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750610807.\nAnswer: 137, 5478911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 1\/7, 0.7, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37799946957\/10 + -3783486070. Let f = u - -3498134. Let b = f - 6766. Calculate the common denominator of b and -33\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/159168796 and 11\/2.\nAnswer: 159168796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -736163, -736161, -736163, -736169?\nAnswer: -736179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 445322 (base 7) to base 2\nAnswer: 10011001101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/17116 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 4*g + 3*g)*(27 + 9 + 45) + g + 6*g - 14*g.\nAnswer: 74*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 170 - 47 - 45 - 31 + 2*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let z(m) be the second derivative of -5*m**4\/6 - 5*m**3\/6 - m**2 - 2*m. Let t(u) = 21*q(u) + 3*z(u). Let t(b) = 0. What is b?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.97 + 0.03. Let u = o - 34. Which is bigger: u or -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 10 - 66 = 0. Suppose r*d - 1198 = -6. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0491 and -97.6.\nAnswer: 4.79216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.16814 rounded to zero dps?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 35\/8, -1\/4, 0.2 in decreasing order.\nAnswer: 35\/8, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -121455 (base 6) to base 13\nAnswer: -4b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -3*k**4\/4 - k**3\/2 + 3*k**2. Let p be u(4). What is the units digit of (4\/6)\/((-5)\/p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 206, -5, 21, -6, 0 in decreasing order.\nAnswer: 206, 21, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p**5\/5 + 2496*p**4\/5 + 41032*p**3\/5 - 231364*p**2\/5 - 213246*p - 192780 = 0.\nAnswer: -18, -5\/3, 7, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(36) - sqrt(72)\/sqrt(2) - sqrt(36)))\/(4*sqrt(300)) + (1*sqrt(75)*-2 + 5)**2 + -4.\nAnswer: -501*sqrt(3)\/5 + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, 2\/9, 0.2, -0.1 in ascending order.\nAnswer: -1, -0.1, 0.2, 2\/9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by 80282?\nAnswer: -29\/40141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 7}. Give prob of sequence lz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 + -91. Let i = q - 19.000019. What is i rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)\/((sqrt(66)*1)\/sqrt(6)))\/(6*sqrt(1331)*1))**2.\nAnswer: 5\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 861.3?\nAnswer: -860.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -1 - 7. Let m(q) = -q**3 + 7*q**2 + 2*q - 1. Let x be m(7). Let p = l + x. Solve -3*b + 2*y + 5 = 17, -p*b = 3*y + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/28 - 485\/70.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5 = -4*t + 5*a, a - 3 = 0. Put t, -2, -5 in increasing order.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31257 + 0.01257. What is the closest to 1 in -7, -4\/7, -74, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 10 = 5*h, 2*h + 12*x = 16*x + 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 3*c. Let f be t(-3). Let k = 89 + 11. Suppose f = 3*i - 0*y - y - 92, 3*i + y - k = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 2:50 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715543016?\nAnswer: 2, 89442877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 48.232\nAnswer: 45.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6220, -6250, -6316, -6436, -6628?\nAnswer: -6910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*10\/6*24\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/23, 2\/19, -3\/7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28019.\nAnswer: 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*((-4*(sqrt(1100) + -1)**2 + -2)*-4 + -5) + -4.\nAnswer: -35243 + 640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -3*o - 0*k - 5*k, 3*k + 6 = 0. What is the remainder when 1000 is divided by o?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*w - 7*w + 18*w to y*w + d and give y.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 5*h**2 + 5*h + 8. Let t be j(6). Suppose 3*l + 111 = 4*u - 33, 72 = t*u + 5*l. What is the common denominator of -71\/14 and 8\/u*(-492)\/16?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/617 in 3, 36, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 24. Suppose d - h = -z, 3*d - 1 = -4*z + 7. Suppose 0 = -z*j + l + 163, -l + 311 = 4*j - 0*j. What are the prime factors of j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 9, -1\/6, 1\/9 in decreasing order.\nAnswer: 9, 1\/9, -1\/6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*2*-6*(-6*-2*sqrt(108) - sqrt(108))*-3*-1)**2.\nAnswer: -28512*sqrt(3) + 67744521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 1. Let k be p(2). Suppose k*h + h = 4*t - 16, -5*h = 2*t - 8. Find the second derivative of 0*o**4 - 3*o**4 + o**t - o wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39703849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 95, 158, 221, 284, 347?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 40*q - 34. Let d be u(21). What is the highest common factor of d and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from {f: 3, l: 6, d: 2, n: 2, t: 1}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 11387*u**2\/2 - 269*u - 5706. Differentiate g(y) wrt y.\nAnswer: 11387","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546 (base 11) in base 6?\nAnswer: -3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/(-135)*5)\/((-39)\/234)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(242))**2 + 5 + (sqrt(72) - sqrt(2)).\nAnswer: -39*sqrt(2) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 314, 923, 2126, 4121, 7106, 11279, 16838?\nAnswer: 23981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 30 = 5*o, 3*o - 4*n - 24 = -o. Suppose -9*m + o = -8*m. What are the prime factors of 1 - (-305)\/(-1 + m)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6884.755ml?\nAnswer: 6.884755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68\/(-153) - 75\/(-108). Let d = -0.4 - -2.4. Let t = -268\/627 - -14\/57. Which is the closest to 2\/7? (a) z (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 37476 = -11*w. Let t be ((-8)\/54)\/((-5)\/(15\/w)). Let l = t + -2220473\/281070. What is the common denominator of -77\/10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2. Suppose -l - 4 = l. Let v = l + 4. Let g(u) = v*u**2 - 6 + 6 + 0. Determine g(w(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-2289)\/1980. Let t = 4\/55 + h. Let i = -2 + 1. Which is smaller: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 7*o**2 - o - 2. Let t be c(-9). Suppose 9*z - 56 = t. What is the remainder when z is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663 - 336 + 7*d - 370.\nAnswer: 7*d - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3404989, -6809980, -10214971?\n\"Answer: -3404991*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5, 179, 0, 0.5, 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -20. Let a(q) be the first derivative of q**4\/4 - 5*q**3\/3 + 2*q**2 - q + 7. Give a(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -217*c - 2319. Determine o(-11).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 638*o**2 - 2*o + 536 wrt o?\nAnswer: 1276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t - 16*t**2 + 4*t**2 - 4*t to the form a*t**2 + j*t + i and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 195*o + 3904. Let j be l(-20). Let v(x) be the second derivative of 0*x**2 - 3*x**3 - 8*x + 3\/4*x**5 + 13\/4*x**j + 0. Find g such that v(g) = 0.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 14635260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920 is divided by 461.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 303699, 4, 8 in decreasing order.\nAnswer: 303699, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45067442 divided by 6438206.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*j**3 + 3*j**3 + 10.\nAnswer: 5*j**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8088421208 minus 1?\nAnswer: 8088421207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.315044 to one decimal place.\nAnswer: -38.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10517422 and 842.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140*(-53)\/1590)\/(-7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 9*s - 9. Let v(m) = -m - 6 + m**2 - m + 0*m**2 + 4. Give 4*d(c) - 18*v(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 85c39e?\nAnswer: 85c39f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5327*y**2 - 2*y - 12749*y**2 + 4*y.\nAnswer: -18076*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -29. Let u = 8 - i. Let b = 11 - u. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -14*m**4 - 9*m**2 + 7. Let h(w) = 7*w**4 + 4*w**2 - 4. Let r(z) = 7*h(z) + 4*t(z). Find the third derivative of r(d) wrt d.\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931607483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143618999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4151 (b) 161 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/1680 - 13*w**6\/960 + 7*w**5\/240 + 4*w**2 + 111. What is z in t(z) = 0?\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -5f7?\nAnswer: -5f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*24\/(-18). Suppose -b - 4*o + 55 = 0, -b + 0*b - 2*o + 45 = 0. Let u be b\/21*1\/(-2). Are u and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 2 (c) -117 (d) -2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*f - 13235 = 0, 5*f - 406 - 6153 = -2*d. What is the highest common factor of 2794 and d?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 + 0*m**4 - 5*m**4)*(-142 - 358 - 231)*(-2 + 0 + 3).\nAnswer: 1462*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28414368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j + 23*j = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*a + 3, a + a - 4 = 0. Suppose 9 = 4*d + 29, -3*w - d = 17. Let h = w + 11. Solve h = -2*r + g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from {u: 4, r: 6, w: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**7\/168 - v**6\/24 + v**3 + 4*v**2 - 21. Let w(u) be the third derivative of y(u). Factor w(a).\nAnswer: 5*a**2*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*1 + sqrt(576))*2)\/(sqrt(16)\/(sqrt(8)*3) - sqrt(72)*-5).\nAnswer: 144*sqrt(2)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*38\/(-57)*85\/((-595)\/(-168))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -353*z**4\/4 + 4*z**3 + z**2 - 322. Find the third derivative of c(t) wrt t.\nAnswer: -2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*l - a - 44, -5*a = -20. What is the remainder when 150\/(-6 + 11) + -1 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p = 41*p + b + 5, p - 2*b = 3. Let u(a) = -2*a + 3*a - 4*a. What are the prime factors of u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-2))\/((-2)\/(-4)). Let m = -269.07 + 271. Let k = m + -2. Sort c, 1, k in ascending order.\nAnswer: k, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -695 - -41007\/59. Let z = -55\/118 - d. What is the second biggest value in z, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -42. Let m(c) be the second derivative of c**4\/12 + 2*c**3\/3 - 9*c**2\/2 - 15*c. Let x(h) = 2*h - 4. Determine k*m(v) - 7*x(v).\nAnswer: 3*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19baa (base 12) to base 9.\nAnswer: 57114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -219015 (base 10) to base 8.\nAnswer: -653607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/8 + 2)*-4. Solve k*h = 6*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19469 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Is h at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 3*s - 128. Solve -s - 16*a**2 - 84 - 48*a**3 + 36*a**4 + 167 + 28*a**5 = 0 for a.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10 - 48 + 17 - 13*w. Is 27 a factor of o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njrprrnnrpfnnpjrprp. What is prob of picking 1 j, 1 n, and 1 p?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30056540009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a + 1. Let d be x(-1). Suppose -t + d = -20. Solve -2*m + 2*h = -2*h - 2, 4*h - t = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x - 11. Let b = 279 - 178. What is the remainder when b is divided by r(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 92506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnxx when four letters picked without replacement from xnnnnxxxnnxn?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l + 719*l**2 - 5*l - 13*l.\nAnswer: 719*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 115.8236065798\nAnswer: -115.3236065798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00220847 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.99 + -2. Let t = -1.21 + 1.1. Let d = f - t. What is the nearest to d in -0.4, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7, -12, -103, 1\/3 in descending order.\nAnswer: 1\/3, -7, -11, -12, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 4 + -4 + 15 + -22\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, 1229, 5346, 13483, 27008, 47289, 75694?\nAnswer: 113591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -6. Let j = 0.6 - 0.1. Let r = 4821.8 + -4821.6. Sort r, -8, q, j in ascending order.\nAnswer: -8, q, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m + 84*m - 1128 = 0. Calculate the greatest common divisor of m and 1222.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020674 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 339, 4\/5, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - a - 2*a + 15, 0 = o + 5*a - 9. Round o to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12*y - 4. Let c(x) = 13*x + 6. Let j(v) = -2*c(v) - 3*m(v). Let a(f) = -f. Let b(d) = 5*d. Let r(w) = 6*a(w) + b(w). What is r(j(g))?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -136*u. Let r(a) = 14*a. Determine f(r(l)).\nAnswer: -1904*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.4 + -8. Let i = p - -2.6. Let m = 188\/291 + 2\/97. Which is the nearest to i? (a) -2\/9 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314 - 315. What is the remainder when (1 + 158)\/((-1)\/o) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.73 (c) -0.18 (d) -18 (e) 1\/4 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v + 550 = -42*v. What is the remainder when v is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnemnggmngmnnntnmgnt. What is prob of sequence ng?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85466?\nAnswer: 2, 151, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -8) + 26 + -4 + -38?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2. Let p(n) = 3*n + 6. Let y(k) = -2. Let r(z) = p(z) + 3*y(z). Give -r(m) - 2*t(m).\nAnswer: 2*m**3 + 2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3298 + -129439\/24735. What is the common denominator of t and 41\/130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1298326241 or -1298326242?\nAnswer: -1298326242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.104 times 0.025\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 12 + 12 - (0 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/12 and 49\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 683, 604, 517, 416, 295, 148, -31, -248?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 238 = -s - 840. What is the remainder when 783 is divided by s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21215937 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 25 - 54 + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193147 to the power of 1\/2, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/15*-771 - (-1)\/(-5). Suppose -158*p + 100 = -r*p. Calculate the remainder when 74 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -16*u. Let c(v) = -4703*v. Give c(o(d)).\nAnswer: 75248*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58.41 - 33.52. Let t = v - -4.21. Let r = 29.09999803 - t. What is r rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 5*o - 4*o)*(-o - o + o) + (4*o + 0*o - 7*o)*(-7*o - 28*o + 7*o) as j*o + g + h*o**2 and give h.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 241603538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 65 + 17 = 0. Let n = 23 - l. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3605 = -2*t, -2*t + d = t + 5402. Let r = t - -8523. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152\/5*h**3 - 248\/5*h**4 + 316\/5*h**2 - 14\/5*h**5 - 68\/5 + 166\/5*h = 0 for h.\nAnswer: -17, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (234\/13)\/(1 + 0). Suppose w + 14 = 4*n. Solve d - n = -3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-15)*(m**(-15)\/m*m)\/m)\/((m*m\/(m\/m**5*m)*m)\/(m\/(m\/m**(2\/13)))))**45 assuming m is positive.\nAnswer: m**(-20970\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 - -204 - (-1 - -12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 672 divided by -224\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*k = -180, -5*u + 4*k + 775 = -k. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -74. List the prime factors of -4*-11*(-1)\/g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*f**4 - 6*f**3*j**2 + 3*f*j**2 - 2*j**2 wrt f?\nAnswer: 132*f**2 - 36*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 4\/83 (b) 4 (c) 6\/7 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -50*f**2\/7 + f = 0.\nAnswer: 0, 7\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4239 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-213)\/568 + (-3383457)\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.25 + -14.25. What is the third smallest value in y, 10\/11, 0.5, -2?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-27) + (-453)\/27. Let a = i + 3. Let n = a + 26. Calculate the remainder when 47 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5 + 54*q**4 - 340*q**3 = 0.\nAnswer: 0, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -2)*4*9\/24. Solve 12 + 3 = -r*q, 7 = 3*g + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2 + 1 + -26. Suppose y + 3 = 0, -58 = 2*c - 3*c + 5*y. Let r = c + i. What is the greatest common factor of r and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 47710209 and 47710211 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 - 12*t**2 - 31*t - 10. Let h be x(-4). Suppose -7*w - 79 = -h. Solve 0 = -0*y - 3*y + 2*i + 5, 0 = y - w*i - 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47c5 + 4?\nAnswer: -47c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + -1)) + 9 + 0 - (3042 + -3060)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 4*u - 211 + 228, 9*p + u + 42 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314281 is divided by 2148.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggbg when four letters picked without replacement from eegegggbg?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 7, 312\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 10:40 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14 and 44\/15?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -5.03. Let k = 766 + -760.952. Let q = h + k. What is q rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1428163 and 6655.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 + -20.8. Let j = -8 - p. Let g = j - 9.033. Round g to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.7 (b) -1.1 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294349898\/1065 + -276385. Let i be (-2268)\/284 - 24\/(-36)*12. Let y = l - i. What is the second biggest value in 1\/8, -0.05, y?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5716329 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229755873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 4 = -8. Is g < 8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/6 and 24\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:05 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1637080 (base 10) to base 15.\nAnswer: -2250da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 + 131. Let u be ((-3036)\/10)\/(g\/417220). Let q = 975768 - u. Round q to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -264?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 11) to base 5.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56887051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/39 + (-4496)\/(-6). Let h = -58 + q. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -51, -59, -69, -81, -95, -111?\n\"Answer: -v**2 - 3*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*u + 309 + 587. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 5*h**2 - 3*h - 3. Let o(j) = -j**3 + j**2 + 15. Let t be o(0). Let c be (-2)\/(2 - 24\/t). Calculate the remainder when 46 is divided by d(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 - w. Let h be x(2). Let s = 19.95 + -20. Let g = s + 1.05. Which is the second biggest value? (a) 1\/5 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5982635 is divided by 199.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4649 - 3862. Solve 791*o = b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2\/7 - 3606*b\/7 - 1083603\/7 = 0?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - 0\/(-4 + 9)*1. Let p(c) = c**2 + 5*c - 8. Calculate p(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvk when three letters picked without replacement from ovrrrkokr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5 + v**2 - v - 1 - 4. Let l(j) = 4 - 1 - 2*j - 12. Let h be l(-6). Calculate q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/20 - 7*k**4\/12 - 4*k**3\/3 - 5*k**2\/2 + 6*k + 5. Suppose -4*u - 24 = -0*u. Calculate w(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 980813062 to the nearest integer?\nAnswer: 31318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (4 + 3*sqrt(5))) + (-3*sqrt(35))\/sqrt(7) + (2*(sqrt(405) + -1))**2 + -1.\nAnswer: -77*sqrt(5) + 1619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:56 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -7\/24*t**4 - 1\/105*t**7 + 0 - 5*t**2 + 0*t**6 + 0*t + 0*t**5 + 0*t**3. Find the second derivative of d(x) wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -14 + 38. Let w(l) = l**2 - 5*l - 6. What is w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1 - 2) + 3)\/2. Solve c*d = -d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pac when three letters picked without replacement from {c: 1, p: 1, m: 2, a: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39893456*x - 32035053?\nAnswer: -39893456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6364, -6222, -6072, -5914, -5748, -5574?\n\"Answer: 4*s**2 + 130*s - 6498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 + 1582*w - 179 + 104 in the form i + o*w and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 20*r. Let x be m(20). Solve -3*c = 3 - x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let j(a) = a + 6*a - 5*a. What is j(k(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4*(-1)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -110*y**2 - 727*y - 3. Let z be b(-6). Calculate the greatest common divisor of z and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668624289.\nAnswer: 3, 67, 3326489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2782 - 2777. Sort 4, d, 570 in increasing order.\nAnswer: 4, d, 570","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1309 - 241)*6\/72.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a3d259 (base 14) in base 3?\nAnswer: 220120110210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6811 is divided by 138.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 171*a**2 - 3230*a - 7158. What is o(149)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*r, -32*r - 8 = -5*h - 34*r. Sort h, 1, 805 in descending order.\nAnswer: 805, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -13.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3)*t)\/t)\/(t*t**(1\/12)))\/(t**6*t**(-4)) assuming t is positive.\nAnswer: t**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -6262?\nAnswer: 6258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**3\/6 - 13*v**2\/2 - 4*v. Let m be t(17). What is the greatest common factor of 12 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*f**3 - 37058*f**2 - 380*f - 6203?\nAnswer: 60*f - 74116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i**2 + 2*i + 1. Suppose u + 19 = 2*g, -39 = -2*g + 2*u + 3*u. Let m(d) = -d**3 + 8*d**2 - 8*d + 6. Let x be m(g). What is the units digit of k(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:08 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 33*p**3\/5 + 22441*p**2\/5 - 250153*p\/5 - 7601\/5 = 0.\nAnswer: -691, -1\/33, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 60. Let q be n(-10). Is (-12)\/(-3)*(-1)\/(-2) + q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 + 6)*(1 - 2 - 1) + (-2 - 4 + 0)*(1 - 5 + 2))*(2*o + 0*o - 4*o)*(-1 - 3 + 2) as m*o + a and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 195 = i - 5*i, 3*h - 54 = -i. Suppose 2*r - 3*a - 573 = 696, -5*r - 3*a + 3141 = 0. Calculate the greatest common divisor of i and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 120*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 178.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -1a4?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:16 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82 + (-14720)\/(-192))*108\/32.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -43. What is the least common multiple of i and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 195 + 267 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**5 - 575*g - 1566*g - 415*g - 14*g**4 wrt g?\nAnswer: 340*g**3 - 168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) - (-2)\/(-2). Suppose j = 4*q + 3, 4*q - 4*j + 9 = -3. Which is the nearest to q? (a) l (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-9 - 15) - (31 + -27).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 57 = h. Let u = 30 - h. Calculate the remainder when 21 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 4*m + 4*u, 3*m - 68 = -2*u + 49. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/252)\/((-10)\/(-630)*-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191842 is divided by 47956.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 35.774561.\nAnswer: 36.174561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3 = 4*s + 13, 5*s + 19 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2582 divided by -6\nAnswer: -1291\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -10085?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -13) + (14 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1011150 and 303345?\nAnswer: 3033450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(1 + 3 + 540\/(-138)). Suppose 262 = -5*z - k. Do z and -59 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.155 + 4.155. Let u(k) = -k**2 + 7*k - 5. Let h be u(6). Let b = -0.4 - -0.2. What is the closest to h in -2\/13, b, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/3 + 6*l**4 - 58*l**3\/3 + 26*l**2 - 12*l = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20 + 26166*f - 26152*f + 1189*f**4 + 15 wrt f.\nAnswer: 14268*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -3*r**4\/5 + 47*r**3\/15 - 7*r**2\/2 + 6*r\/5 + 10. Factor d(f).\nAnswer: -(f - 3)*(3*f - 2)*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j - 5. Let v(i) be the second derivative of 2*i**3\/3 - 3*i**2\/2 - i. Calculate 3*q(y) - 5*v(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.9118695*-9.\nAnswer: -35.2068255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 19*o + 47 - 10*o - 12*o. List the prime factors of z(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2 - 230*o + 457. What is n(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (162\/(-54))\/((-1)\/3). Solve -16*l - b = -19*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31801 + -13792. List the prime factors of j.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -0.1, 0.5, -227, -0.11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65960.4 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996707 a multiple of 417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 7*u**3 - 11*u**3 - 11*u**3 - 3481*u.\nAnswer: -29*u**3 + 5*u**2 - 3481*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 5*v - v + 4810*v**2.\nAnswer: 4810*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 543*i**2 - i - i + 544*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133 - -138) + (1 + -1 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34549.613 less than -0.0707?\nAnswer: 34549.5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = 3*t, -b + 3*b = -3*t + 2. Suppose t*o - 53 - 19 = 0. What is the remainder when 70 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/3 - 4*z**4\/3 - 8*z**3\/3 + 64*z**2\/3 - 112*z\/3 + 64\/3.\nAnswer: (z - 2)**4*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 139806 and 343037322?\nAnswer: 1029111966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, -1, -3, 5, 2 in ascending order.\nAnswer: -3, -1, 2, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-340)\/(-2720))\/(6\/112)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*q - 55*q + 10 = 61*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-5 + -3)*-1. Let c be 2 + 0 - (y + -10). What is the third derivative of n + 3*n**2 + 4*n**4 - n - n**c wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5 + 12*y**3 + 8*y**2 = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1264*m**2 - 6. Let g(w) = 1262*w**2 + 6. Calculate -7*g(t) - 6*u(t).\nAnswer: -1250*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**4 + 293*i**3 + 6*i + 37254.\nAnswer: -4*i**3 + 879*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/111?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n + 6 = 0. Suppose o + 4*o = n*p - 442, 2*p - 4*o - 294 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 25 - 25 - 3*y.\nAnswer: y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 2, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + k**2)*(-2*k + k - k + (0*k + 4*k - 3*k)*(1 + 1 - 4) - 2*k + 4*k - 10*k).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996168*y + 765 = -996219*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2384, 4831, 7278?\n\"Answer: 2447*j - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 106. Which is the second smallest value? (a) 0.1 (b) t (c) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2536*m**6 + m**4 + 17*m**3 + 107164*m**2?\nAnswer: -304320*m**3 + 24*m + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6087 rounded to 2 dps?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3\/7 + 282*i**2\/7 + 2901*i + 20022\/7 = 0?\nAnswer: -47, -1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -558627, -1117226, -1675821, -2234412, -2792999?\n\"Answer: 2*a**2 - 558605*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 4*f**2 - 4*f**2 + (12 - 2*f**3 - 12)*(0*f**2 + 4*f**2 - 3*f**2).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 7 (b) -6 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 - 5445837*s - 5445834 = 0.\nAnswer: -1815278, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1204, -4805, -10808, -19213, -30020?\nAnswer: -43229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 345 + 35. Suppose 0 = -4*y + 5*s - 10*s + c, 4*y + s - 380 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 106 = 3*h - 113, -5*f - h + 345 = 0. Suppose 6*c = 2*c + f. Suppose m + q + 46 = 4*m, -m = -2*q - c. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l + 13. Let p(j) = j**2 + 7*j. Let b be p(-6). Let w(h) = 7*h + 7. Let d(v) = b*z(v) + 11*w(v). Let k(m) = m. What is -d(q) - 5*k(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-1*2*3. Let k(v) = 2*v**2 + 3*v + 5 - 9 + 3*v**2 - 4*v**2. Calculate the remainder when 27 is divided by k(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 162\/53, 0.1, -87, -0.96 in increasing order.\nAnswer: -87, -0.96, 0.1, 162\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-3)*(-94248)\/5984\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 2. Let p be d(-1). Let n(f) = -932*f**3 + f**2 - 1. Let y be n(p). Suppose -4*c - 64 = -y. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-10)*320\/(-24). Suppose -g*m + 23*m - 3521 = 0. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 14*y**2 - 15*y + 5. Let x be c(-15). Solve -x = -5*t - 5*j, 3*j - 16 = 7*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -593327 - -2209549815\/3724. What is the common denominator of 103\/2660 and h?\nAnswer: 18620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -15, -9, -3, 3, 9?\n\"Answer: 6*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6705*c**2 - 6703*c**2 + 13406*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2244 - -345?\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:33 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w - 7*w + 18*w to the form c + u*w and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 - (-2)\/(-6)*0. Let 3\/5*c + 0 + p*c**2 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1652 - 2539 = -3*t. Let k = -884 + t. Suppose 97 = -4*d + k. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 493.539 + -493. Let y = 0.039 - o. Which is the third biggest value? (a) -1 (b) y (c) 1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92.38 - 0.31.\nAnswer: -92.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2016249 and 111?\nAnswer: 74601213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/16 and 43\/210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + p**2 - 57*p + 128. Let r = -330 - -610. Calculate the lowest common multiple of t(3) and r.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170778 - -311027. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -172528206*z**3 - 18844367*z wrt z.\nAnswer: -1035169236*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3955*i - 4006*i - 561 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/9 + 20*n\/9 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 1. Let o(p) = -22*p - 37. Let b be (-5)\/2*13\/(26\/(-4)). Let h(k) = b*s(k) + o(k). Does 24 divide h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 7*n - 2*z = 10*n + 71, -56 = 2*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 24655712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*l)*(6211 - 4*l - 6211)*(5*l - 2*l**3 - 5*l).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 37122223.\nAnswer: 3\/37122223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z**5\/2 - 73*z**4\/2 + 55*z**3\/2 + 249*z**2\/2 + 58*z - 10 = 0 for z.\nAnswer: -5, -1, 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 408*f**2 + 678*f**2 + 73*f**2 - 588*f**2.\nAnswer: -6*f**3 + 571*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 plus 29809?\nAnswer: 29809.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 4765*h**3\/3 - 2216*h**2 - 3257. What is the second derivative of k(t) wrt t?\nAnswer: 9530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 683?\nAnswer: 3\/683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -3, -20 in increasing order.\nAnswer: -20, -3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 28*k + 56*k as a*k + m and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 46. Let l be (3 - 1)\/(-2) - b. Suppose l*k - 309 = 215. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 - i**2 - 17*i**2 - i**2 - 4 + 4 + (-4*i + 2*i + 3*i)*(-5*i + 6*i + i) - 10*i + 10*i + 13*i**2 as d*i + r + k*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057561559 to six dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123*n**2 - 221*n wrt n?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3606 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -30?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v = 15*v + 336 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731 + -726 - (1 + -18).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17146*h + 1743464 - 111928 = 252*h + 1646*h for h.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92702685 is divided by 767?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, f: 3, b: 2}. Give prob of picking 1 b, 2 f, and 1 k.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/12 - f**3\/2 - f**2\/2 + 8*f. Calculate j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**6\/45 + 1099*x**5\/15 + 1209997*x**4\/18 + 268156*x**3 + 401868*x**2 + 2167*x. Factor z(o).\nAnswer: 2*(o + 1)**2*(o + 1098)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25831, -51836, -77839, -103840?\n\"Answer: x**2 - 26008*x + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 5*r**2 + 4*r - 3. Let v be f(-4). Let m be (-553)\/(-28) + v\/4. What is the highest common factor of 38 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o - 2. Suppose 0*l + 4*i = -2*l, -i - 9 = 5*l. Give s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -23.6. Sort -4, a, 5 in decreasing order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.84 + -1.838112. Round z to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from nrrrn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -41, 4, 2, -26 in decreasing order.\nAnswer: 4, 2, -7, -26, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5 - 67536*y**4 + 67522*y**3 + 405212*y**2 - 270120*y - 540272 = 0?\nAnswer: -2, -1, 2, 33767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:29 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 - 56 = 0. Suppose 148*h - 2592 = 100*h. Calculate the smallest common multiple of h and q.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 6*w + 13. Let d(j) = -j**2 + 6*j - 12. Let y(l) = -6*d(l) - 5*r(l). Let f = 4 + 2. Does 4 divide y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 759603 by -58431.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 + 19.12. Let m = v + -18.4. Which is the biggest value? (a) m (b) -0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 15. Let d be y(0). Let n = 20 - d. Suppose 63 = 3*z + 5*c - 13, n*z + 2*c = 95. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5899837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2405197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05996012 to 4 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 25. Let j = 85\/3 - v. Let k be (0 + (-1)\/(-2))*0. Which is the closest to k? (a) j (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 3*q**4\/4 - q**3\/3 + 2*q**2 - 2*q - 73. Let c be h(1). Solve -8*u - 5*b - 18 = -4*u, b = c*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18 and -34\/2217.\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/15 - 2*n**2\/3 + 16*n\/15 + 8\/5.\nAnswer: -2*(n - 2)*(n + 1)*(n + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5\/2, 0, -2\/11, -2\/7, 1366, 6\/11, 4\/7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 2, n: 4, r: 1, d: 1}. Give prob of sequence dere.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 1. Let y = -3284 - -3287. Sort q, -2, y, 1 in increasing order.\nAnswer: q, -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 - 2*n - 4. Let j(f) = 9*f**2 - 7*f - 14. Let h(v) = 7*i(v) - 2*j(v). Let b(w) = -w + 6. Give h(b(p)).\nAnswer: 3*p**2 - 36*p + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 984\/16*(-14)\/(-6)*-2. Let g = -274 - w. Let a(j) = j**3 - 12*j**2 - 14*j + 11. Give a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11102014 - -33?\nAnswer: -11101431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + 48. Suppose -14*x + 7*x = -175. Calculate the greatest common divisor of s and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*d + 568 = 1758 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 7:43 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 - -223. Suppose 6*r - 13*r + x = 0. Solve -r*p - 4 = -10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(95)\/(((sqrt(30) - sqrt(1080)) + sqrt(30))\/sqrt(6)) - (sqrt(684)*-1*5 - ((sqrt(684) + -1 - sqrt(684))*-1 - sqrt(684)))**2.\nAnswer: -10940 - 193*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oklhxto. Give prob of picking 1 t and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3 + -1 - 2)*72\/180.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2128471*t**3 + 2128473*t**2 + 12770824*t - 12 = 0. Calculate t.\nAnswer: -2, 2\/2128471, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 + 135. Suppose 25 = 5*m + 3*b + 2*b, 15 = p*m - 3*b. Calculate the smallest common multiple of m and (-2)\/2*(-3 - -5)*-89.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062 is divided by 660?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -3*u + 0*u**5 + 5 + u**3 - 1\/4*u**6 - 9\/4*u**2 + 3\/2*u**4. Suppose m(t) = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115647948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.3, 1\/3, 0.14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/32119 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16450999 * 3.\nAnswer: 49352997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73777?\nAnswer: 11, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u + 222 + 2 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 10) to base 3.\nAnswer: -22222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biiyjkjbjhyyhj. Give prob of sequence yy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -679, -771, -859, -943, -1023?\n\"Answer: 2*f**2 - 98*f - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-36) - (-16)\/9. Suppose m + 168 = -5*a + 3*m, 0 = -n*m - 2. Let j = a - -44. Calculate the remainder when 16 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (-1*(sqrt(242)*2 + sqrt(242)) - sqrt(242)).\nAnswer: -44*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943111931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3 - 8817*i**2 + 3*i - 1960 wrt i.\nAnswer: -6*i - 17634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5383\/11 or 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(375) - sqrt(375)*2))\/((sqrt(60) - sqrt(960)*-1)\/sqrt(12)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(6050) + sqrt(6050)*-2)\/sqrt(10).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -417.4, 0.5, -2\/13, -6?\nAnswer: -417.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5816 + 69865\/12. Calculate the common denominator of 41\/5 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g**2 + g)*(-12*g**2 + 4*g**2 - 32*g**2).\nAnswer: -40*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2372 + 4258. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -2*b**2 + 0 + 7*b + 0*b**3 + 1\/3*b**4 + 1\/20*b**5. Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**4\/4 - 3*y**3 - 4*y**2 - y + 3. Let g be z(-8). Let n = 13 - g. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1859 - -1863. Let f = -12\/37 + 58\/407. What is the smallest value in g, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*o**2 + 5*o**3 - 5*o**3 - 2*o**3 - 36*o**2.\nAnswer: -2*o**3 + 119*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/(9\/(-8)). Let i be 80\/(-12)*(-12)\/5. Let c be 28\/i + 3\/(-4). Is d >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 5*r**2 - 5*r - 4. Suppose -i - 2*i + 90 = 0. Suppose 2*s = 7*s - i. List the prime factors of x(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**2\/2 + 16*d - 5. Let g be b(-9). Is (g - -2)\/(-3) - (4 - 928) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + (-6)\/(-4). Suppose 0 = -n - l + 4. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 14*w + 8*w + 6*w + 1. Let f be l(0). Let a(c) = 34*c**2 - c. Calculate the remainder when a(f) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 473700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26136 by -484.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**3 - 153*r**2 + 10*r + 5. Let q(s) = -7*s**3 - 155*s**2 + 12*s + 6. What is -6*d(t) + 5*q(t)?\nAnswer: t**3 + 143*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = u + 48, -91*u + 93*u - 8 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148664 to the power of 1\/2, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1433.035 + -1.2.\nAnswer: 1431.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 5}. What is prob of sequence hv?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1896 and 1206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*x - 162 = -m, 2*x + 104 = -2*m. Let f = -43 - m. What is the second derivative of c - f + 10 + 37*c - 3*c**4 wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140598411?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.85 + -0.15. Let s(k) = -k**3 - 13*k**2 - 14*k - 27. Let h be s(-12). What is the closest to a in -0.2, -9, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9499 by -9.\nAnswer: -9499\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31905 and -10.\nAnswer: -319050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307355 to the power of 1\/2, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*v + 23 - 35 = 0, v + 8 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-6)\/(-2) - -3. Let p(y) = y**3 - 6*y**2 - 7*y + 2. Let h be p(t). Sort -1, h, 4 in ascending order.\nAnswer: -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/10 + 1143*o**2\/5 + 128600*o.\nAnswer: o*(o + 1000)*(o + 1286)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12700*l**4 - 7507*l wrt l?\nAnswer: 152400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467184 a multiple of 428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2) + 2 + (sqrt(162) + 1 - sqrt(162)))*1*3)**2.\nAnswer: 54*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 59*m + 480. Give l(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3247180 (base 11) to base 15.\nAnswer: -77a500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 235 + 90 + 77 + 93 = 4*t - 3*g, 7*g = -2*t - 41 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**5 + 3*g**3*i + 9*g**2*i - 56*g - i wrt g?\nAnswer: -40*g**3 + 18*g*i + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 53*-0.472\nAnswer: -25.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9506 + -985. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a = 5*k + 261, -5*a + 1393 = -k + 1376 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11939838284.17 and -5.\nAnswer: -11939838289.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + 868\/3. Let s(g) = g**2 + 75*g + 148. Let u be s(-2). Suppose 0 = -5*y - 4*l + 343, 4*y + 0*l = u*l + a. What are the prime factors of y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 178*b. Let p(s) = -2*s**2. Calculate p(i(x)).\nAnswer: -63368*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16473 + 16472. What is the nearest to 0 in -2\/17, 0.5, c, -6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4380967 or -74476416\/17?\nAnswer: -74476416\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -6. Suppose -2*d = -d + w. Let n(s) = 2*s**3 - 7*s**2. Let t(v) = -v**2 - 2*v**2 + 2*v**3 - 3*v**3 + 2*v**3. Determine d*t(b) + 3*n(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4227184605 to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 3\/20, 5, 1\/3, 357?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 104. Let y be m(24). Calculate the greatest common factor of y and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(125)*-1 + 3 + (sqrt(125) - sqrt(125)*1)**2 + sqrt(125) - (((sqrt(20) + -6*sqrt(20))\/sqrt(4))**2 - 5*(-3 + sqrt(5))).\nAnswer: -137 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 13. Suppose m*n - 20 = -2*n. Suppose -x = 2*f - 29, -3*x + 69 = n*f - 4. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/13493 - 13501\/53972. Are -0.2767 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38.8 + 16. Let y = n + 23.3. Sort -4, y, 67 in increasing order.\nAnswer: -4, y, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14893224839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - b**2 + 2*b + 2. Let j be k(-2). Suppose j*m - m - 13 = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6482*q - 5958*q - 2376*q - 896815 = -4011*q for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 1) + (65 - 84) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2362\/16845 (b) 1 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 19*h - 344. Let r be p(19). Let k = 8 - -9. Is k < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31992073.\nAnswer: 31992073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -140\/41 (b) 0.12 (c) -1\/8 (d) 0.1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2418 = -12*r - 19*r. Calculate the lowest common multiple of r and 54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:42 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31058094 rounded to 4 dps?\nAnswer: -0.3106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + -4 - 1 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = x + 16. Suppose x*o - 3*a - 97 = 0, o + 5*a - 14 = -o. Let i(m) = -m**2 + 8*m + 13. Let u be i(8). Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 41946 = 4*y, -2*y - 2*m + 5*m + 20968 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11\/19 - -41\/38. Let -1\/2*g**3 + 3\/2*g**2 + a*g - 1 - 1\/2*g**4 = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -1. Let j = -52 + 58. Is j equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfgcwgqqwqqjqqgqfccq. Give prob of picking 3 q and 1 c.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 11. Let s(d) = -d**2 + 50*d + 458. Let n be s(-8). Calculate the common denominator of -14\/9 and ((-1)\/(n\/(-76)))\/((-112)\/q).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*x - 3. Sort x, -10, 3, 0 in decreasing order.\nAnswer: 3, 0, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 845 - 463. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4 + 18*r**2 - 8*r**2 + 5 - 9*r**2. Let l = 1 - 2. Let x(t) = -1. Let s(w) = l*x(w) - m(w). Factor s(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1127 - -1126. Let q = 0.1 + -0.6. Put o, -2, 2\/9, q in increasing order.\nAnswer: -2, o, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 5*q + 3. Let v(y) = -3*y**2 + 14*y - 6. Let g(z) = -2*z + 1. Let m(t) = 5*g(t) + v(t). Let x(f) = -4*a(f) - 3*m(f). Factor x(c).\nAnswer: (c - 1)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let u(d) = 53*d + 52*d - 107*d. Give q(u(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 108f1e (base 16) to base 12\nAnswer: 444026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/(16947\/(-7532)*(-4)\/20*-4).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*o + 5*l, 2*o - 4 = 5*l + 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 18, 22, 8, -36, -122?\n\"Answer: -2*m**3 + 9*m**2 - 3*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1809*c + 2992. What are the prime factors of g(-23)?\nAnswer: 103, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -15, -55, -131, -255?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 7*x = 26*x + 76 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33665 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -10\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {k: 3, u: 6, c: 8, w: 1}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264944.\nAnswer: 2, 29, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 399*f**4*i**3 - f**4 - 12*f + 4*i**3 wrt f?\nAnswer: 4788*f**2*i**3 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*x = 25, x + 22 = 2*z - 14. Let f(w) = 458 - 939 + 443 + 3*w. What is f(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*n**2 - 51*n**2 + 35*n**2 + (2*n + 2*n - 2*n)*(3*n - 3*n - n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 283764481?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-104)*28152\/1530?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861 = 2*t - 5*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -81, -0.5, 43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 - 3*q**2 - 3*q - 3. Let s = 16 - 18. Let h(x) = 3*x**3 + 2*x**2 + 3*x + 2. Give s*j(b) - 3*h(b).\nAnswer: -b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1183 - 733. Calculate the highest common divisor of u and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211111133 + -211?\nAnswer: 211110422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/77)\/((-904)\/4746)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fttahghaahhpgfaft. Give prob of picking 1 g and 2 f.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(1\/2). Let p be ((-2)\/(-3))\/(v\/6). Suppose p*t = 7*t - 9900. Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.192 - -0.28. Let d = 64.912 + v. Let m = -64.99957 + d. What is m rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-2) - (-84)\/24. What is the third smallest value in -1, t, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 501*q**2 + 12927*q - 2574 = 0?\nAnswer: -26, 33\/167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 27157312*l + 46094974691584.\nAnswer: 4*(l - 3394664)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 18. Suppose 4*h - 2 = 18. Suppose -3*k - 12 = -h*k. Solve k*u - q = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w - 3 = -53*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2155660 divided by -2\nAnswer: -1077830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -13. Let k be (-6)\/(-16)*(-244)\/d. Let v = k + -4\/3. What is the common denominator of v and -31\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6*q - 2*q - 1497 = 0, -4*p + 3*q = -1996. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*n - 9. Is n not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117.82 - -71.8175. Let x = -46 - o. What is x rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1505.67 - -1513. Let t = -1.57 - x. Let r = t + 9. Is 0.1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 6\/7 (c) -118 (d) -171\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(x + 0*x - 2*x) + 0 + 0 + x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -111?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let x(w) = -7*w. Let i(o) = 11*p(o) + 4*x(o). Let h(n) = -n. Determine -3*h(m) + i(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400893 by 3.\nAnswer: 133631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 = 81*z - 172 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86538829, 86538836, 86538839, 86538832, 86538809, 86538764, 86538691, 86538584?\nAnswer: 86538437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -6. Calculate the common denominator of (-1 + (-46)\/v)*-1 and -30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*y**3 - 391*y**3 + 5556*y - 5556*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/30 - s**4\/8 - 4*s**3\/3 - 3*s. Let v(w) be the second derivative of c(w). Let n be v(-2). Solve -7 = -3*p + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j - 46224 = -67*j - 4*j. Solve 420*q = j*q + 56 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 9*p**2 + 9*p - 11. Suppose -60 + 21 = 3*j - 5*y, 5*y = -4*j - 17. What is t(j)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 6. Calculate v(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 20*x - 22. Let w(l) = 4*l - 4. Let o(z) = -2*t(z) + 11*w(z). Let b(n) = -4*n. What is 2*b(a) + 3*o(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, m: 7}. What is prob of sequence mii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40436 + -40338. Solve 5*j - 93*c - 40 = -q*c, 20 = 4*j - 2*c for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) 2141 (c) 51 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(1\/14)*l)*(l**(-1)\/l)\/l*(l*l\/((l**5\/l)\/l)*l)\/l*l\/l**4 assuming l is positive.\nAnswer: l**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 12 = -2*b + 4*u, -3*u + 16 = 2*b. Let f be 260\/b - 12\/21. Find the third derivative of 4*k**5 + f*k**2 + 25*k**5 - 4*k**2 - 2*k**5 wrt k.\nAnswer: 1620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7161, 14377, 21593, 28809, 36025, 43241?\n\"Answer: 7216*f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561540 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:47 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-323)\/2448 - 1\/(9\/(-6)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/2 (b) 0.01 (c) -3 (d) -0.08 (e) -1179\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82515 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100614667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -274*n + 97*n - 751 + 4291 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 2*g**2 - 13*g + 3. Let v(s) = s**2 - 2*s + 1. Let f(t) = -u(t) + 5*v(t). Let i = -7 - -4. What is f(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7395858*j**4 - 9907296*j**3 + 3348656*j**2 - 20608*j + 32.\nAnswer: 2*(3*j - 2)**2*(641*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 557 + -0.03.\nAnswer: 556.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631532080?\nAnswer: 2, 5, 20394151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -2*(sqrt(171) - (sqrt(171) + sqrt(171) + sqrt(171)*5)))\/(5*sqrt(1296)).\nAnswer: 13*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 0, -0.5, 0.3.\nAnswer: -0.5, 0, 0.14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + ((-2)\/(-2) - -1269). Is k\/(-36)*(-6)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 965 - 935. Solve 0 = 9*y + p - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144417 - 144413. Factor -17\/4*j**2 - 23\/8*j - 3\/4 - 3*j**3 - j**h - 1\/8*j**5.\nAnswer: -(j + 1)**3*(j + 2)*(j + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 10 - (-14 + 2)) + (-37 - -47).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*t - 39157 = -273310, 0 = 5*i - 4*t + 234154. What is i rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221750 - 36588562\/165. Let u = z - 14\/11. Put -1, 2\/5, u in ascending order.\nAnswer: -1, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -1460497729.\nAnswer: -1460497728.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-3)\/(-288))\/1\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11675 = -3*d - d + 13061. What are the prime factors of d?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2655\/59)\/(5 - 8)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**5 - 529430*h**4 + 14012688365*h**3 + 112126920840*h**2 + 224270784720*h.\nAnswer: 5*h*(h - 52947)**2*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14654*g - 10277*g - 1002491 - 1146209 = -3444*g for g.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(1\/93). Let q = 39 - 34. Suppose 244 + j = q*w. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.2 + 10. Which is the third biggest value? (a) 2 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v - 7. What is a(5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 485.01 + -481. Let s = g - 0.01. Let w = s + -4.0000006. Round w to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*y = 210*y - 100. Let q(o) = o**3 + o**2 - 2*o - 2. Let l be q(-2). What is the remainder when y is divided by 14\/(-8)*2*l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000743 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 20. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 - 9*u - 15. Calculate d(-5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 - 70\/40*-4 is divided by (-1 - -2)\/((-17)\/(-493))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521264 (base 7) to base 6.\nAnswer: -1525312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.676 minus 0.06153989?\nAnswer: -3.73753989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147283439*r + 6908 = -147283596*r for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8531 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 1. Let t be v(1). Suppose 0 = 4*a + 6 - 18. Suppose -3*y = -a, -t*y + 0 = 4*n - 6. Which is greater: n or 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from xxxxvvx.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.280507898563 and -4?\nAnswer: 1.280507898563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605391991?\nAnswer: 7, 17, 13490689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/sqrt(300) + (sqrt(704) - sqrt(44))**2 - (sqrt(176) + 5 + sqrt(176) + -1)**2*-4.\nAnswer: 1281*sqrt(11)\/5 + 3276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2437, -12, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*h + 104, -4*h - 5*z = -2*z - 118. Calculate the lowest common multiple of 56 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4 (c) 1\/2 (d) 3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101323 (base 5) to base 2\nAnswer: -110100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010100011100111000 - -111001?\nAnswer: 1010010100011101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -304*165\nAnswer: -50160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 495*h - 523*h + 33600. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-117)*3*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1548 and 11266?\nAnswer: 202788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 5, 3\/2 in decreasing order.\nAnswer: 5, 3\/2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u = -h + 79, 5*h = -5. Let y(s) = 2*s + 51. Let k be y(-21). Suppose -k*q = -3 - 15. Solve u = 2*r + q*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 729598, 12 in increasing order.\nAnswer: -5, 3, 12, 729598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -236449240 divided by 296?\nAnswer: -798815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -380981147, -761962294, -1142943441, -1523924588, -1904905735?\n\"Answer: -380981147*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43361, -86723, -130085?\nAnswer: -173447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*h**3 - 18\/5*h**2 + 2\/5*h**4 + 2*h + 0.\nAnswer: 2*h*(h - 1)**2*(h + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*((-9296)\/249)\/(-112)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14243141 (base 8) to base 4\nAnswer: 30110121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315693638?\nAnswer: 2, 13, 17, 79, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 43 = 4*a, -2*c + 20 - 6 = -a. Solve 4 = -q + 3*r, 7*q - 2*r = 4*q + c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 578356, 578358, 578360, 578362, 578364, 578366?\nAnswer: 578368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.884304ml to litres.\nAnswer: 0.008884304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.20194 and 193.\nAnswer: 193.20194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/18*(1215\/(-150))\/27.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 333 - j**3 - j**3 - 5*j**3 + 2*j**3 + 250*j + 4*j**3 with respect to j.\nAnswer: -3*j**2 + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124063283129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a - 654*a**3 + 6 + 653*a**3 + 4 as p*a**3 + x + l*a + n*a**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b - 3. Let c(u) = -u. Let h(a) = 6*c(a) + v(a). Let j be 1*8 + 0 - 2. What are the prime factors of h(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 920 = -u. Let l(a) = 8*a - 1. Let c be l(3). Calculate the greatest common factor of u and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(1900) - 2*(sqrt(1900) + 2) - (1 + sqrt(1900)*3 - (3 + -2 + sqrt(1900) - sqrt(1900))))**2.\nAnswer: -240*sqrt(19) + 30409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w - 4*w + 5*w)*(-1 - 5 + 4 + (-1 - 2 + 4)*(0 + 3 + 0)) to p + g*w and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/3, 389, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2934253791 to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/2*17\/(-2). Let y be (-3)\/(-5) - 227\/(-5). Let a = p + y. Do a and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407307 and 1610.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + v + 1. Let z be n(-1). Let i(c) = -2 - 259*c + z + 1479*c. Is i(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 200594, 9\/2, -1\/30, 4?\nAnswer: 200594","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -5. Let r be (-1)\/y + 33\/(-18). Let j be -7 - ((-40)\/18 - (-190)\/(-38)). Is j less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9863*w - 19733*w - 2*w**3 + 9870*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-five halves of a minute?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/35)\/(2*(-1)\/(-14)). Let k(r) = r**3 + 14*r**2 - r. Let g be k(-14). Let z = g + -10. Solve -z*d = 2*p - 18, -4*d + 11 = -o*d + 3*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 b when four letters picked without replacement from bbbkkxkxbkbb.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/2 - 3685*t\/2 = 0.\nAnswer: -3685, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p*z**2 - 22*p*z - 3*p + 148*z**2 + 20*z - 135489 wrt z?\nAnswer: 4*p*z - 22*p + 296*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 86872\nAnswer: 1\/21718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12.32, -3.7, -3\/44?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(312 + 324 - 81667*p - 960 + 323) as f*p + d and give f.\nAnswer: 163334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 + 601222*v**4 - v**2 - 322455*v.\nAnswer: -60*v**2 + 14429328*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 11) to base 4.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/44 + 2)\/(((-123)\/6)\/41 - 0)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*j**2 + 3852\/7*j - 1236492\/7.\nAnswer: -3*(j - 642)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/2 of a century?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eewqaqqaqeaqe?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2637094?\nAnswer: 2, 233, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/2, -9923817, 5 in decreasing order.\nAnswer: 5, -1\/2, -1, -9923817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/45492149 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -19, -114, -281, -538?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3492 + 1.5492. Which is the fourth smallest value? (a) 258 (b) -0.04 (c) 5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j**2 - 202*j + 30. Let n(y) = 5*y**2 + 101*y - 15. Let i(v) = 13*n(v) + 6*o(v). Let z be i(-21). Round z to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - w - 1 + (-3 - 1 + 2)*(-4*w + 2*w + 3*w) + 2*w - 2*w - 2*w - 26*w + 83*w - 24*w - 19*w as j*w + f and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0197417 rounded to 4 dps?\nAnswer: -0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:29 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 6, r: 7}. What is prob of sequence nun?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 = 332*n + 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 7*k**2 - 6*k + 1. Suppose 0 = r + 9 - 3. Calculate m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 divided by 18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:06 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-64)\/(-1024))\/((-1)\/1))\/(2\/(-2))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.1, 2, 4, -5\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7272 and 9595?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 8. Suppose 5*y + 2*p = 14 + 15, -3*y + 7 = -4*p. Let a = x + y. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:17 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0.2, 35, 1\/6, -3, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 1. Let b(w) be the third derivative of -1\/8*w**4 + 0 + w**2 + 0*w + 5\/6*w**3. Let o(i) = b(i) - 2*g(i). Determine o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134677 > -134459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*z - 2*u, -33 = -7*z + 3*z - 3*u. Solve 10 = -7*h + z*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:10 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3)\/9*(-351)\/18. Solve -m - 3*m - r = -s, 2*s - 3*m = 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 2, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11129 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g - 5. Let t be u(-4). Suppose 5*a = -t - 61. Let p be (-6)\/(-15) - a\/10. What is the greatest common factor of p and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -24, -51, -78, -99, -108, -99?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 3:33 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470126 is divided by 1164?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 29*a + 13. Let k = -92 - -98. What are the prime factors of h(k)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216, -4, 4 in descending order.\nAnswer: 4, -4, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 + 13)) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333*k**2 + 111*k**2 + 7*k + 82*k**2 + 94*k**2 to the form x + j*k**2 + f*k and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 6*u - 4. Let b be z(-4). What is the second derivative of h - 4*h**3 + 0*h**3 + h**3 - b*h wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h - 2*h - 2*h)*(-2*h**2 - 2 + 2 + (4*h - 4*h - h)*(-2*h + 2*h + 2*h)) in the form o*h + v + i*h**3 + l*h**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29622 (base 13) to base 15.\nAnswer: 1815c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-133 + 87 - 44)*(-17*q + 9*q + 13*q) to z*q + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1370739.5459129185 - 7.2531070815. Let g = f + 1370735. Let n = g + 11.8. What is n rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2314 = -192*a - 7114 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 5*h + 6 = -j, 0 = h - j - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/3 + 32524*g**4\/3 + 263866564*g**3\/3 - 3176944320*g**2 + 28624147200*g.\nAnswer: g*(g - 18)**2*(g + 16280)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30360)\/22770)\/(-1 + 2\/(-5) + 1).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2. Let p(z) = -4*z + 12*z + 1 - 9*z. Give -a(q) + 4*p(q).\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/8 - 4839*m**2\/2 - 3888096*m + 47006208.\nAnswer: -3*(m - 12)*(m + 3232)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -13. Let w = 5 - 6. What is the closest to 1 in w, -3, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5789\/879 - -3\/1172. Let j = 17557\/15540 - 13\/185. What is the common denominator of i and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 0 - 4) + 1 - (-37 + 28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 314 = -74. Suppose -28*p = -7*p - 210. What is the highest common divisor of p and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -29383\/1866?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -37017720900 to the nearest 1000000.\nAnswer: -37018000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**7\/210 - h**3\/6 + 6*h**2. Differentiate z(d) with respect to d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006551963 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -4. Let y be h*(-8348)\/108 - (-2)\/9. Suppose -p - y = -5*p. Calculate the lowest common multiple of p and 4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -90. Let s = o + 34. Suppose 0 = 2*i + x - 23, 3*i + 7 = 3*x + 28. Solve -4*c = 3*h + 24, h = -s*c + c - i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 54476.\nAnswer: 54476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.60385 and -0.4.\nAnswer: 9.20385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = -x, -3*q = 2*q + 5*x. Let y = 110.2 + -110. Which is the nearest to 1.2? (a) q (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61639.4 in -2\/3, -1\/4, -4\/7, 2\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1309442 and 35\/4556?\nAnswer: 175465228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18396071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123472 by 18.\nAnswer: 61736\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 2\/15, 1\/18 in ascending order.\nAnswer: 1\/18, 2\/15, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let c(k) = -2*k**2 + 5*k - 2. Let h(o) be the first derivative of -5*o**3\/3 + 8*o**2 - 6*o + 1. Let j(a) = -7*c(a) + 2*h(a). What is j(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**6*g)\/(g**2*g)*g*g**(1\/5)\/g*g**(-3\/4))**(-12\/13))**(-8\/3) assuming g is positive.\nAnswer: g**(552\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31 + 24 - 14*z**3 + 57*z**3 - 16 wrt z?\nAnswer: 129*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 5*w**3 - 8*w**3 + (w**2 + 5*w**2 + w**2)*(0*w - 2*w + 4*w) + (0*w**2 + 3*w**2 - 4*w**2)*(-6*w + w + 2*w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 69984 = 2*c, -4*c = -q + 2*q - 35012. Suppose 5*h = 2*k - 13990, 5*h = 5*k + 3*h - q. What is k rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upo when three letters picked without replacement from poujuup?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982492 is divided by 327494?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 - 12) - (3 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 - (-4 - -2)) + 0. Sort -4, 5, v in descending order.\nAnswer: 5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 5, 0.4, 751 in descending order.\nAnswer: 751, 5, 0.4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*d - 42, 7*y - 87 = 2*y - 3*d. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 12*f - 1. Let y be h(-12). Let q = y - -14. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.4585 < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0183551 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13241785 is divided by 1035?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -938 - -940. Solve 2*x + 2*h = -14, 15 = -q*x + x - 5*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10335108 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 370 - -25007?\nAnswer: 25377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 - 23 + 22*c - 41*c - 3*c**2 + 21*c + 27 as f + w*c + a*c**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -27*d**3 + 2*d - 434. Let t(p) = p. Determine n(t(u)).\nAnswer: -162*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -f - 4, 0 = 5*s + 5*f + 25 - 5. Let k = s + 1. Solve 0 = -4*h - 3*m - k - 3, -3*m = -2*h + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 152 + 133 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -8*n - 34. Let z = 30 + 12. Let j = 89 - z. Calculate the remainder when j is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -310, -309, -308?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14*g + 1. Let a be i(-1). Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6612?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 4*n + 13. Let g(f) = -2*f**2 - 3*f - 12. What is 6*g(j) + 5*k(j)?\nAnswer: -2*j**2 + 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 14. Let x be r(-11). Let n = -32 - x. Suppose -3*k + n*g = 393 - 1394, -2*g - 335 = -k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -4102?\nAnswer: 4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + a**2 - 3*a**2. Let l(g) be the third derivative of g**6\/360 - g**3\/6 - g**2. Let h(p) be the first derivative of l(p). Calculate y(h(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 129, -1, -4 in decreasing order.\nAnswer: 129, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 7*i**2 - 7*i - 7. Let m be g(9). Suppose 4*x - m = -0*x. Suppose 2*k = 1 + x. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730*k**2 + 167*k + 1729*k**2 - 357*k - 219*k.\nAnswer: -k**2 - 409*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24786745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, -3\/8 in increasing order.\nAnswer: -15, -3\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/5 + 6\/(-10). Let t(c) = u*c + 1 + c + 2 - 4*c - c**2. What is t(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1399000 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1551278198 and 1966?\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueuuuuueuueu. Give prob of sequence uee.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2035123777 and -14911?\nAnswer: 2035138688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -2. Suppose -r = y - 51. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 40. Calculate r(25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 - 1.8915. What is s rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/2380 + (44\/(-44))\/(34\/(-2518)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -9 (b) -4\/5 (c) -2 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/35 - 10\/(-35). Is o > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-624)\/168*1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and -5\/619 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1519 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1428 and -169\/107604.\nAnswer: 1829268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117.161nm in micrometers?\nAnswer: 4.117161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -109059, -218147, -327245, -436359, -545495, -654659, -763857?\n\"Answer: -s**3 + s**2 - 109084*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 62113 = 62446 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y + 24*y - 28*y - 1 + 1 - y + (5 - 5 - 2*y)*(3 + 1 - 3).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6*k = -5*k + 9, 4*i - 5*k = -11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 27. Let b = 5 + d. Suppose 2*y + 0*y + k - 23 = 0, -b = -4*y - k. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 - 1. Let q(i) = -3*i**3 + 6*i**2 + i - 4. Determine q(b) - 6*u(b).\nAnswer: 3*b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3241859198 to the power of 1\/2, to the nearest integer?\nAnswer: 56937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 43, 12 in descending order.\nAnswer: 43, 12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 1686.\nAnswer: -26976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, 254, -5, -1, 0, -27 in decreasing order.\nAnswer: 254, 25, 0, -1, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 + -0.1. Let n = -1.58 + d. Let v = -0.5 - n. What is the second smallest value in -2\/7, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(1\/3)\/k))*k)**(-1\/16)\/((((k\/k**(2\/7))\/k)\/k*k)\/k)**(-11)*k**(2\/3)\/(k*k\/k**(-4\/3))*(k**(-2\/7)*k)**13 assuming k is positive.\nAnswer: k**(-845\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5843.\nAnswer: 2\/5843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -109419 + 0?\nAnswer: -109419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014226 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 - 1 = 5*m, -4*o = 3*m - 26. Let h be m\/4 - (-1)\/(-2). Suppose -3*b - 1 + 10 = h. Solve -w + b = -0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 543411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2606 - -4823. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y - 70. Let d(g) = 3*g - 23. Calculate -11*d(o) + 4*p(o).\nAnswer: -o - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 122520050659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 12. Let x = o + 11. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1 + sqrt(1300))*2 + 2 + 1*sqrt(1300)*-4*-4)*4)**2.\nAnswer: 368640*sqrt(13) + 107831296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z + 2. Let d(l) = 8 - 11 + 2. Let r(v) = 2*d(v) + q(v). What is the second derivative of r(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 5*x - 18. Let j be z(24). Let u = j + -288. Is u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3962 at least as big as -3932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.2? (a) -4\/3 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 539?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*d + 143*d - 11*d - 69*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88873969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 51*a**2 + 13*a + 1. Let c be t(4). Let h = c - 517. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 264, 605, 1094, 1737, 2540?\n\"Answer: r**3 + 65*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 482*o**7\/35 - 2257*o**5\/60 - 2*o**2 + 4*o + 1. Find the third derivative of t(q) wrt q.\nAnswer: 69408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0401203 litres to millilitres.\nAnswer: 40.1203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/55 + 1183\/220. Find the common denominator of 55\/8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 20, -3*k - 4*w = -0*k + 5. Let h be (k - 3)\/(-6)*-12. Determine p so that 8*p**3 + 12*p**h - 2*p**4 + 4*p**2 - 6*p**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 1. Let w = -12 + 16. Let b(k) be the third derivative of -7*k**4\/24 + k**3\/3 - k**2. What is w*b(i) - 10*y(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377747661?\nAnswer: 3, 317, 397211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/39*91\/(-28)*13.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*r + 8 = -1, r = -5*t + 19. Solve 4*m + t*l = -2*l + 16, -l - 8 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:00 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 34. What is the third derivative of -56*r**3 + 65*r**3 + t*r**2 + r**2 wrt r?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108162032 and 1232?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*m + 2019, -g + 5*m = -401 - 272. Let d = -200 + g. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 17 = -m. Suppose 4*p = 3*a - 39, -2*p - 6 = -2*a - 6*p. Let s = a - m. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (-4 + -60 + 32)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018778659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.62 - -0.38. Let g = -15 + d. What is the third biggest value in 0.3, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(500)*2 - sqrt(500)))\/sqrt(10).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 t when three letters picked without replacement from {d: 1, t: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + 38. Suppose -5*d + 3 - 13 = 0, -2 = -5*n - 4*d. Find the third derivative of -93*t**4 - 3*t**n + 9*t**5 + r*t**4 wrt t.\nAnswer: 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/20416 and 7\/15521264.\nAnswer: 62085056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475768.1 millimeters to kilometers.\nAnswer: 0.4757681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 52. Suppose -3*m = -8 + 56. Let v = m + w. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162384, 324773, 487162?\nAnswer: 649551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 14*l - 22. Calculate a(-9).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-12)*((-12)\/(-8) - 1). Determine w, given that 1\/2 + w**3 + j*w**5 - 11\/4*w + 7\/2*w**2 - 4*w**4 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 106 = 0. Let f = w - 35. Suppose -4*x - 37 = -117. What is the smallest common multiple of f and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 42*s**3 - 5*s**2 - 20*s + 321. Let f(d) = -8*d**3 + d**2 + 4*d - 61. Let w(h) = 3*c(h) + 16*f(h). Determine w(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**5\/60 - p**4\/24 - 5*p**2\/2 + 3*p. Let c(l) be the first derivative of q(l). Factor c(h).\nAnswer: h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3504 and 85085296?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 133 + 17*k + 20*k + 20*k - 2*k**2 - 69*k + 15*k. Let w(i) = 2*i. Give x(w(j)).\nAnswer: -8*j**2 + 6*j + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -8*p + 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 69*t - 238*t + 47.\nAnswer: -169*t + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1\/2))\/(t\/t**(-10\/9)))\/(t\/t**(4\/11)*t**6) assuming t is positive.\nAnswer: t**(-1435\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-4 - sqrt(66))*4 - sqrt(66))\/(-3*sqrt(294)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487964?\nAnswer: 2, 43, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from ydegmlyd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, -37, -0.3, -7.977?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -30*a - 475. Let t be x(-16). Solve 0 = 3*w + 2*u - t, 0 = -14*w + 12*w - u + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5058500 rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5031\/(-702) + (1 - (-20)\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/4 - 343*u**3\/4 - 681*u**2\/4 + 343*u\/4 + 341\/2 = 0.\nAnswer: -341, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 12*g - 7. What is v(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2165*b - 2164*b + 4326*b + 201 to the form j + z*b and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -10 + 43. Let b = 35 + l. Solve -b*m + 20 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3, 8671, -7, -0.09, -1, 6\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 42. Suppose 0 = -5*r + 20, 4*w - 5*r + 28 = -9*r. Let b be f(w). Calculate the highest common divisor of 32 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = 61*u + 44 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -52*m**2 - 741*m - 225. What is j(-14)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798608361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {a: 1, c: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpte when four letters picked without replacement from {p: 8, t: 2, e: 5, l: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -878, -1719, -3080, -4967, -7386, -10343, -13844?\nAnswer: -17895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (14 - 2) - (2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -39*s + 13. Suppose -70 = 26*p - 19*p. Is 42 a factor of f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 5. Suppose -p*u = -2 - 4. Suppose -22 = -u*x + x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n*n*n**4))\/(n*n**(2\/15)*n)*n\/(n**(-3\/7)\/n)*n**(1\/6)*n)**(-5\/3))**(-14) assuming n is positive.\nAnswer: n**(-1163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.215 * 0.25\nAnswer: 0.05375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-z + 0 + 0) - z - 1 + 1 + (2*z + 0*z - 4*z)*(1 - 3 + 4) + 1 - 1 + 2*z - z + z + 8*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 56*o + 4 = -60*o, o + 30 = -7*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2 - -1) + -16. Let x = 19 + d. What is the remainder when 14 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -629867 in descending order.\nAnswer: 2, -3, -629867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(63\/(-48))*(-24)\/(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g*g\/g**(-1\/6)*g)\/(g*g**(1\/4)))\/((g**(3\/7)\/g)\/((g**(-1)\/g)\/g)))\/((g**(1\/3)*g\/(g*g**3))\/((g**(-4)*g*g)\/(g\/(g*g*g**1)))) assuming g is positive.\nAnswer: g**(433\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 13. Let f = 2 - o. Solve 0 = k + f, 4*c - 5*k + 3 = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11340 - -14510. What is the greatest common divisor of x and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.43 in -4, -127, 146?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -5.3. Let r = v - 0.7. Let p = -3.01 - r. Round p to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10186 + -10177. What is the least common multiple of r and -2 + (-5)\/((-5)\/54)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16006 = -l - 3559, 0 = 3*l + 5*q - 37343. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ooogogooooooooooog?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -8, -36, -84, -158, -264, -408?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3 + 10*j + 0 - 7*j + j. Let l be (2\/(-5))\/(-1)*-5. Let i(z) = -2*z + 1. Determine l*s(t) - 5*i(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 2*i - 14, 138*z = 133*z - 4*i - 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2038877?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.354, -99 in descending order.\nAnswer: -0.354, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 222*a**2 - 866*a - 8566. What is b(226)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 165, 214, 289, 396?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 15\/4, 4, 2\/7, 2, -7\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 19*v**2 + 17*v. Let c be b(-18). Let w be (-3)\/(-6)*2\/1. Let n(d) = 0*d - w + d + 0 - 2*d. Let j(h) = 10*h + 8. Give c*n(t) + 2*j(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30037381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((99\/(-9))\/11)\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t + 6. Let y(f) = 5*f - 5. Let j(z) = 5*x(z) + 6*y(z). Let w(v) = -185*v + 372*v - 189*v. Give w(j(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**1*c)\/c**(-6))**(14\/3))**(3\/13) assuming c is positive.\nAnswer: c**(126\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)*f)\/f**(-25)*(f\/(f\/f**(-7)))**(1\/2) assuming f is positive.\nAnswer: f**(177\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6207.854 litres?\nAnswer: 6207854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.03897 + -32.1. Round o to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960*k**2 + 964*k**2 - 2073*k**2 + 163*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -171*s + 174*s - 3*x, -3*s + 31 = -4*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1936)*2)\/(sqrt(8) + -1*sqrt(288)) - (4*(-4*sqrt(288) + -2 - sqrt(288)))**2).\nAnswer: -115269 - 19222*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*l - 8 = 74*l, 3*l = -z - 18. What is the greatest common divisor of 218 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4995.781 and -8.\nAnswer: -39966.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -515817.921 rounded to the nearest one hundred?\nAnswer: -515800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -280 - -274.8. Let i = -4.5 - h. Let y = -5 - -8. Is y less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25165.443 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2064)\/(-344)*(-3)\/(-9)*-10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - -1*sqrt(88)*2 - -5*-1*sqrt(88))\/(-2*sqrt(128)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3670 (base 9) in base 3?\nAnswer: -10202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 27. Let v(w) be the third derivative of 3*w**2 + 1\/30*w**5 - 1\/6*w**3 + 0*w**t + 0 + 0*w. Differentiate v(r) wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + x + 7 + 4, 4*c + x = 25. Let n(p) = -2*p**2 + 6*p + 2. Give n(c).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002596778 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -2*q, 2*q - 4*q = -h - 4. Suppose h = -8*g + 22 + 18. Let n = 15 - 4. Solve d - n = 4*s, -g*s = d - s + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/5 - 6*c**3\/5 - 39*c**2\/5 - 6*c = 0. Calculate c.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjddj. Give prob of sequence jjd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/1651716 and 79\/91762.\nAnswer: 1651716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3946 divided by 2.\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -0.04244.\nAnswer: 0.54244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3399.665 years in centuries?\nAnswer: 33.99665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 82.6. Let f = l - 30. Let g = f + -0.8. What is the nearest to g in -2\/13, -5, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8622 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23264?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/21)\/y)**(-3\/19)*y**(2\/17)\/y*y*y**(2\/43) assuming y is positive.\nAnswer: y**(1571\/5117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 + 39*v + 23. Let m be h(-6). Solve 8 = -4*z + z + o, -m*z - 3*o + 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**4\/11 + 204*g**3\/11 + 4494*g**2\/11 - 21636*g\/11 - 25920\/11 = 0. What is g?\nAnswer: -18, -1, 5, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1767 and 9405.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 17. Let r = -8 + m. Suppose 0*v = 2*v. Solve v = q - r - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 153647*o**3 - 7*o**2 - 7*o**2 + 153648*o**3 - 7*o**2 + 2*o + 7*o**2 in the form u*o**2 + g + t*o + y*o**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44.236 - -0.336. Let x = z - -140. Let o = x - 101. Round o to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001245 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 + 63\/(-28)*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s + 20. Let l be d(-13). Let b = 66 + l. What are the prime factors of (-18)\/(-4)*(4 - b\/(-3))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198029569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 4*k. Let x(w) = -w**2 - 5*w + 2. Let s be x(-4). Let o = s + -12. Let p(j) = 20*j**2 - 3*j - 9*j**2 - 6*j. Determine o*p(c) + 13*r(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -981918 and -2.49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 44*b + 15. What is the units digit of k(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*t**3\/2 - 2099*t**2\/2 + 2314*t - 386 = 0. Calculate t.\nAnswer: -193, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8696606 times -42\nAnswer: 365257452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = -2*w - 47, 5*a + 41 = -w. Is w greater than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epuhj. What is prob of picking 1 e and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j + 0 + 0*j**3 - 1\/90*j**5 - 1\/540*j**6 - 15*j**2 - 1\/54*j**4. Suppose n(s) = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -2 - 6) + -8 + -6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -42883 smaller than -42772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*f = -131 - 1273. Suppose 2*p - 2*j + 4 = -4, 4*p - j = -1. Let w = p - -3. Calculate the greatest common divisor of w and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 31 = -4*i, -3*u + 143 = -0*u - 2*i. Suppose 6 - u = -5*h. Calculate the remainder when 58 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3483 from 0.08.\nAnswer: 3483.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -l - 243, -l - 615 = -3*s - 748. Which is the biggest value? (a) -12 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4607801 to the power of 1\/2, to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i**2 - 2*i + 4. Suppose h = -5*t - 0*t - 15, 2*t = 4*h + 38. Let c = -7 - h. Does 11 divide d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) - (-699)\/(-4). Let w = d + 1573\/9. Suppose 4*a = -2*m + 3*a + 12, 0 = 3*m - 2*a - 4. What is the second biggest value in -2\/7, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.016, 0.2, -342, -2\/21?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6446 times 0.01\nAnswer: -64.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -233, -472, -877, -1448, -2185?\n\"Answer: -83*g**2 + 10*g - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162876 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 24 + 42 = 5*t, 12 = 4*t - h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194730 is divided by 703.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79740024 and 30669240.\nAnswer: 398700120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*((a\/(a\/a**(4\/11)))\/a)\/a*a*a)*a*(a*a**(-5))\/a*(a*a**(-3)*a)\/a**(1\/5))**(4\/9))**(45\/2) assuming a is positive.\nAnswer: a**(-502\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -15268949 less than -15269031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 25, 58, 105, 166, 241?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 51, -9.5, 0.21?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 12 - 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31695914.\nAnswer: 2, 19, 97, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 21*c. Let v = 83 + -81. Let p(y) = 79 + y**2 + 2*y**v - 79. Calculate p(q(d)).\nAnswer: 1323*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - y**2 - 4*y**2 + 0 - 7 as b*y + n*y**2 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*o = -29 + 37, 4*o = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.31 + -0.0606894?\nAnswer: 105.2493106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-32) + 1625\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 626 = -5*w, 2*j - 117 - 125 = -2*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**5 - 5*i**5 + 3*i**5 + (4*i**2 - i**4 - 4*i**2)*(8 - 8 - 7*i) + 7*i**5 - 6*i**5 - 36*i**5.\nAnswer: -26*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*q + q - 6, -q - 9 = 4*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p + r, -2*r = 2*p - 5*p - 7. Let h be (p\/(-10))\/(10\/40). What is the fourth smallest value in 1\/8, -4, -3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**2 + 26*c - 3. Let s be b(13). Let i = s + 4559. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*t + 44 + 31, 3*p - 53 = 4*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010222211 + 10?\nAnswer: -10010222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wowwohhgwhwigooooogo. What is prob of sequence ihw?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**5*u - 585*k**4*u**2 + 143*k*u**2 - 4*k + 2*u wrt k?\nAnswer: -60*k**3*u - 7020*k**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6541 + 6537. Put -13, 4\/5, d, -0.1, -1 in descending order.\nAnswer: 4\/5, -0.1, -1, d, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let g(t) = 2*t**2 + 59*t + 43. Let o be g(-29). Suppose r*c + c - 5*n = 16, -2*c = -4*n - o. Sort 2, c, 4, -4 in increasing order.\nAnswer: -4, c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 8. Let f(i) = 6*i - 40. Let n be (-2 - (6 - -14))\/(1*-2). Calculate n*u(v) + 2*f(v).\nAnswer: v + 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/5 - 626*g**4\/5 + 2054*g**3\/5 + 104104*g**2\/5 - 589861*g\/5 + 96866 = 0. Calculate g.\nAnswer: -629, -14, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**2*z + 131*d**2 + 32*d*z - 3*d + 1901832*z wrt d?\nAnswer: -8*d*z + 262*d + 32*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, 0.1, -1\/6, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = -i, -6 = -2*x + 4*i - 6*i. Suppose -4*r - 880 = 5*f - 0*r, 195 = -f + 3*r. Let p be (292\/f + 1)*-5. Which is greater: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 0.23722, -1.2, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k - q + 69, 0 = 5*k + 3*q - 67. Let u = k - 11. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 + -0.82. Let x = 3.2 + -3. What is the biggest value in 0.3, a, -0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1)\/((-2)\/9). Let i = 13 - m. Solve 0 = 2*t - o + 9, 6*t - 3*t = i*o - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 1, r: 6, v: 5, g: 1}. What is prob of picking 1 v, 1 g, and 2 r?\nAnswer: 75\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmy when three letters picked without replacement from {c: 2, y: 12, m: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 190330 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2824, 2823, 2822, 2821, 2820?\n\"Answer: -d + 2825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 102874912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**3 - h**3 + 2*h**3)*(-791 + 1034 + 1046) to the form i*h**3 + r*h**2 + c + y*h and give i.\nAnswer: -3867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148032178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/2)\/n*n**30\/n*n**(2\/23)\/n**2 assuming n is positive.\nAnswer: n**(1085\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1508 (base 12) to base 14\nAnswer: -c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 + 3.9. Let z = m - 14.2. Suppose -5*t + 12 - 2 = 0. Which is the nearest to 0? (a) z (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.52\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 r when three letters picked without replacement from cjjlccayjlccjyrccy.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqqq. What is prob of sequence qqr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -309 + 79. Suppose 5*j - 6*i + 7*i = q, 3*i + 62 = 5*j. What is the common denominator of 16\/65 and 55\/5*(-2)\/j?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13184, -13285, -13454, -13697, -14020, -14429, -14930, -15529?\nAnswer: -16232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 203 = 4*v, v - 11 - 44 = 5*c. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:57 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-90) - (-184606)\/(-275760)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 17 - 12*n**4 + 2*n**2 - n**3 + 13*n**4 - 16 + 3*n**3 - 14*n in the form o + s*n**2 + i*n**4 + m*n**3 + a*n and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*m**3 + 82*m**2 - 177*m**3 + 85*m**3 - 91*m**2.\nAnswer: -23*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 0. Let r be -1 - -23 - (-2 - o). Suppose -7*d + 10*d - r = 0. Calculate the least common multiple of 18 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 7*m + 7 + 7)*(0*m**4 + 0*m**4 - 2*m**4).\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2170 and 19876115?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = 2*y. Factor -14*p**2 - y*p + 5*p + 12*p**2.\nAnswer: -2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 9. Let j be v(-4). Let d be (j - 2)*-1 + -2. Solve l = -d*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -1\/17, 2\/9 in increasing order.\nAnswer: -57, -1\/17, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 8580.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 754 - 339. Calculate the highest common divisor of 100 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -591, -891?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 12*l**2 + 49*l + 320. Calculate the remainder when 195 is divided by t(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8513 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuyoryrryoyyrryjry. What is prob of picking 2 r, 1 u, and 1 y?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - -299. Suppose 5*b = z + 31. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v = -55*v + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 1. Let i(c) = -c. Let f be (12\/14)\/((-657)\/3066). Calculate f*i(x) + q(x).\nAnswer: 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27.49512 years?\nAnswer: 0.2749512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/3)*o*o\/(o\/(o\/o**(-1\/15)))*o*o assuming o is positive.\nAnswer: o**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**5 + 15450*j**4 + 1973460*j**3 + 61773080*j**2 = 0.\nAnswer: -62, 0, 3214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5425, -5515, -5605?\nAnswer: -5695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133680 = 11*i - 152934 - 245065. List the prime factors of i.\nAnswer: 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -313.\nAnswer: -5\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9703 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2714 (b) -0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -13, 2\/223, -1.1, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 2)*(-j + 2*j + 0*j) + 0*j + 2*j - 3*j - 7764 - 136*j + 7764 to d + x*j and give x.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 0*q**2 + 9*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 83*b - 47. Is 5 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7433 + 7683. Calculate the remainder when x is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = -4*a - 0, 3 = -s - 3*a. Suppose s*g + 7*g = 28. Solve x - g = k, k - 4*k - 4*x - 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 2. Suppose 0 = -6*y + 4*y. Suppose -4*v = 3*p - 10, -p + y*v - v = -3. Let u(a) = 67*a**2 - 68*a**p + 1 + 0. Calculate d(r) - 2*u(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 30 = -70. Suppose -r + k = 11 - 36, -r = -d*k - 33. Solve r*n = 26*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.163768 weeks in days?\nAnswer: 64.146376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 2*r + 2. Let y(p) = 4*p**2 + p + 1. Calculate -3*i(f) + 4*y(f).\nAnswer: f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16883925 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4\/9 + 90911*j**3\/9 - 363685*j**2\/3 + 1909481*j\/9 + 8910454\/9 = 0.\nAnswer: -90923, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50436 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6843528ml?\nAnswer: 0.0006843528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/373294 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 4. Let q be w(6). Find the third derivative of -36*g + 15*g**q - g**5 + 36*g wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305243.307 rounded to the nearest 100?\nAnswer: -305200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 plus 4394.1?\nAnswer: 4396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0391716239 rounded to 4 decimal places?\nAnswer: 0.0392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -265*n + 1110. Let a be r(5). Sort 0, 3, a in increasing order.\nAnswer: a, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1636 - -7.54785\nAnswer: 1643.54785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - 15679?\nAnswer: -1564a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 947*y - 6932 - 10550 + 78049 + 30345 for y.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:48 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1331 + -3404022?\nAnswer: -3402251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/17 or 29\/15?\nAnswer: 29\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 11*j**2 + j - 4. Let a be n(11). Solve -a = 5*r + 8, 3*k + r + 15 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 754 divided by -6\nAnswer: -377\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-3 - (-29 + 61))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1595584?\nAnswer: 2, 107, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2612*b*h**3*u - 2*b*h**2*u**3 - 3*b - 179*h**3*u**3 - 5*h**2*u**3 + 4*u**3 with respect to b.\nAnswer: 2612*h**3*u - 2*h**2*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*n = 9*u, -3*u - 3*n = 0. Sort -1, 4, -15, u in decreasing order.\nAnswer: 4, u, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9207 + -4779. Does 39 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316 and 904313?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -490, -478, -452, -406, -334?\n\"Answer: t**3 + t**2 + 2*t - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h**2 - h + 37. Determine j(-8).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(20)\/(sqrt(10)*3)) - 3*sqrt(90)\/sqrt(5))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**9\/1008 + c**5\/30 - 2*c**3\/3 - c**2. Let w(h) be the first derivative of l(h). Find the second derivative of w(a) wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 2*h**2 + h - 23. Let g be b(0). Let y = 42 - 14. Let c = g + y. Calculate the highest common factor of 55 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43791*a + 22064*a + 21730*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2089100, 8356381, 18801854, 33425519, 52227376?\n\"Answer: 2089096*a**2 - 7*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 14*r**2 - 17*r - 18. Determine o(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 43 - (40 - (-5 - 0)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4.3. Let s = b - -3.9. Let g = 3.168 - s. Round g to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*p - 0*p. Suppose 3*u + 504 = -4*n, 3*u - n + 504 = 2*n. What is the common denominator of ((54\/p)\/3)\/(u\/75) and 81\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 33*i**2 - 29*i + 82. Give w(-32).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5168 is divided by 258.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -9 + 14. Let j(z) = -6*z - 3. Let x(r) = r + 1. Let v(b) = j(b) + 4*x(b). Calculate v(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 577, 1146, 1715, 2284, 2853, 3422?\n\"Answer: 569*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13479779 - 2?\nAnswer: -13479781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 0, 3\/4, -1\/5, -8, 10, -2 in decreasing order.\nAnswer: 10, 1.6, 3\/4, 0, -1\/5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462129501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*i = 4, 15*k - 11*k = 2*i + 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/3 - 3)\/(-6). Which is the second smallest value? (a) 0.1 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 304.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, -5, 29, -4, 9.\nAnswer: -26, -5, -4, 2, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -23*l**3\/6 - 115*l**2\/2 - 2*l - 236. Calculate b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -119971360 and 246.\nAnswer: -119971114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/12000 and -47\/5024?\nAnswer: 1884000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/(1\/(-24)). Let z be ((-2)\/(-2) + -3)*1. Let i = z + c. Calculate the highest common factor of 50 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/11)*r**(-10))\/(r**(-1\/2))**19 assuming r is positive.\nAnswer: r**(-13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/60 - 5*h**4\/24 + h**3 + 6*h**2. Does 4 divide t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -342? (a) -1\/2 (b) -4 (c) -38 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3840312 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 2*o)*(54*o + 129*o - 5*o)*(-4*o**2 + o**2 + o**2).\nAnswer: 356*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Suppose 0 = -b*l + u + 1828, 4*u - 1083 = -4*l + l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65452 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13505644 divided by -244\nAnswer: -55351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7991, 8280, 8941, 10124, 11979, 14656, 18305?\nAnswer: 23076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 826108848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154 a factor of 1661813154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c + 1. Suppose -2*r + 6*r = 28. Let p(v) = v**3 - 6*v**2 - 7*v + 6. Let m be p(r). What are the prime factors of q(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28416 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/21980 and -59\/17270.\nAnswer: 241780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59934 - 30946. What are the prime factors of h?\nAnswer: 2, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994409?\nAnswer: 13, 76493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**5 - d**3 + d**2 - d. Let g(b) = 12*b**5 + 5*b**4 + 2*b**3 - 2*b**2 + 2*b. Suppose -4 - 10 = 14*f. Let n(y) = f*g(y) - 2*p(y). Factor n(z).\nAnswer: -5*z**4*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -409 - -416. Which is the second biggest value? (a) u (b) -0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-4 - -3)\/(3\/6). Suppose -x*u - 1698 = -5596. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 1.2 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose -4*n + 8*o = 3*o + 17, -w*n - 16 = -4*o. Let g(l) = 1 + l**3 + 0*l**2 - 3*l**2 + 0*l**3. Calculate g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - 1. Let l be k(1). Find the third derivative of -4*j**2 - 5*j**l - 10*j**3 - j**2 - 7*j**3 wrt j.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:56 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*o - 86, d + o + 3*o = 6. Let h = -15 + d. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -481 times -0.5\nAnswer: 240.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98564 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: Let h = -339 - -744. Let x = h - 405.0000257. Round x to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 6*v**3 - 7*v**3 + 9*v**3 + 41790 - 41475.\nAnswer: -v**3 + 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4)*((-1491)\/(-84) - (-45)\/(-10)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 96218\/4859?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -100. Sort k, 0, -4, 2 in increasing order.\nAnswer: -4, k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.18 or -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6449, -7145, -7841, -8537, -9233, -9929?\nAnswer: -10625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 22. Let t be (15\/45)\/(s\/18). Solve -4*i = -t - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 6:48 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.72 and -1.\nAnswer: -17.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -0*u. Suppose 3*h - 3 = -5*f, 0 = -8*h + 4*h - 5*f + 9. Is (u - (2 - h))*-359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6957*o + 480201 + 132015 for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/5 - 8\/(-20). Suppose -n*v = -6 - 22. Let j(f) = f**3 - 7*f**2 + 5. Let g be j(v). Solve -m + 20 = -g*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 115. Is 30 a factor of f(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a + 2*a**2 - 1\/12*a**4 + 5\/6*a**3 + 0. Calculate m(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2435933)\/318 - (-2 - 11\/(-6)). Round o to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 14*g**3 - 10*g - 2. Differentiate h(o) wrt o.\nAnswer: 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/360 + i**5\/180 - 5*i**2. Determine t, given that q(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 7 + 9. Let z(w) = 81*w**2 - 1. Let h be z(1). Suppose 4*u - h = 44. Calculate the remainder when u is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3411 and 0.031.\nAnswer: -3410.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 2*m + 14. Calculate the remainder when 237 is divided by m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y - 8*y + 54. Let w be y\/24 - (-26)\/(-16). Calculate the remainder when (-4 - w) + 102\/(-1)*-1 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58075 - 47744 + 20175 = -1098*n for n.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2781 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = 5*f, -5*r = 5*f - 4 - 21. Suppose 0*h = -5*h. Suppose 0*c + c = h. Solve -2*x = -b - 3*b - 4, c = r*b + x - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 5:48 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -2 (b) -32 (c) -942\/5 (d) 1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 6*w + 14. Let y be (-60)\/18 + (-4)\/w. What is the closest to -2 in -1\/2, 0.4, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14172 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Let i(s) = -s**3 + 3*s**2 + 5*s - 3. Let t be i(w). Put -4, t, 5 in descending order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 39, -1 in increasing order.\nAnswer: -3, -1, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 10)*(-60)\/(-660)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 6*z - 2. Let r be l(-2). Suppose k + 2*k = r. Solve -c - c = g - 4, k*g + 10 = 5*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23931 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1\/2*r**2 + 4 + r - 1\/3*r**3 + r**4. What is m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n + 1. Let j be c(1). Let w be -1*5\/(10\/(-6)). Let l = j - w. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.7*-13.2.\nAnswer: 154.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 1, d: 2, o: 2, x: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 793 - 21. List the prime factors of p.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -9435?\nAnswer: -9434.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 977660 divided by 4?\nAnswer: 244415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-114)*-3*13\/((-286)\/(-22))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b + 4*b**2 - 3 - b**2 - 6*b**2. Let t(m) = m - 4 - m - 2*m**2 - 5*m. Let y(i) = 3*k(i) - 4*t(i). Calculate y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.069*-832.9217.\nAnswer: -57.4715973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 3:45 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3277 in descending order.\nAnswer: 5, 0, -3277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -34 - (2 - (16 + -20))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0118 less than -0.045615?\nAnswer: 5.966185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68460 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0 + 4*n + 0*n**3 + 0*n**2 - 1\/12*n**4. Let v(i) be the second derivative of 11*i**3\/3 + 27*i. Give v(r(h)).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 + (6 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10459 - -63362. Let m(n) = -h - 62*n + 73821. Let j(w) = -4*w. Determine j(m(l)).\nAnswer: 248*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:16 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 298\/7. Let c(d) be the second derivative of -4\/21*d**3 - g*d**2 + 41*d + 0 - 1\/42*d**4. Find h, given that c(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*h + 3 = 0, -s - 2*h = 4*s - 12. Let a(v) = -v**s + 0 - 1 + 1. Let d(k) = -4*k**2. What is a(d(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*r - 5*z + 12, 3*z + 36 = 5*r. Let s = r - 4. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 11 = 9*p. Differentiate p + 3*z**2 - z**2 - 21 - 5*z**2 wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -8 - -8 - (-3 + 5) - -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4*(-6)\/18. Let i = -329 - -325. Let d(y) = y**3 - 5. Let s be d(0). Put s, i, g in ascending order.\nAnswer: s, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51, -182, -399, -702?\n\"Answer: -43*m**2 - 2*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.9 and -6718246054?\nAnswer: 6718246057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 14*o**2 - 11*o + 4. Let m be p(-13). Let r = m - -8. Is r\/35 + (-4874)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -83. Sort 1\/4, q, -1\/5, 2\/15 in descending order.\nAnswer: q, 1\/4, 2\/15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-155)\/(-13020))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24147032, -24147027, -24147022, -24147017?\nAnswer: -24147012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**3 - 6*u**2 - 24*u + 7. Let r be o(5). Suppose 23*x - 21*x - r = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*d = 12, 6*r - 3*r + 10 = 4*d. Solve 2*f + 8 = -3*b - b, 2*b + 2 = -r*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4251.\nAnswer: 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33b4 + 187f?\nAnswer: 4c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5\/2 + 2519*b**4\/2 - 856421*b**3\/2 + 67169789*b**2\/2 + 103771034*b + 69756670 = 0?\nAnswer: -2830, -2, -1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11886\/44581 - -34\/409. Let a = -4976\/981 - h. Calculate the common denominator of (-1156)\/(-96) + (-1)\/(-3) and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z. Let d(f) = -f. Let y(b) = 12*d(b) - k(b). Let o(q) = -q. Let c(n) = 5*n. Let j = 3 + -2. Let x(u) = j*c(u) + 3*o(u). Calculate x(y(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.3. Let m = -89\/525 + 2\/75. Which is the nearest to s? (a) -4 (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 164.9166 hours?\nAnswer: 593699760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-406)*(-7)\/2?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 317*p - 44826. Give a(146).\nAnswer: 1456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(324)\/sqrt(48) - sqrt(81)\/(sqrt(27) - sqrt(3)))\/(((sqrt(180) - sqrt(45))\/sqrt(5) - sqrt(9)) + sqrt(900)*-2 + sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by 4\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*183470386\nAnswer: 73388154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4888004826?\nAnswer: 2, 3, 8009, 101719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4148234578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -481 (base 12) to base 4\nAnswer: -22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -594709*a**5 + 29*a**4 + 6*a**2 + 365*a + 532?\nAnswer: -35682540*a**2 + 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 + 12*g + 10. Let t be j(7). Let r(q) = -39*q - 9. List the prime factors of r(t).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-4) - 4\/16. Let m(j) = -5*j - 11*j - j**k - 9 + 0*j**2. What is the units digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -9\/15251?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9144323.\nAnswer: 9144323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + y - 8, 2*j + 2*y - 4430 = 0. Suppose 11 = 4*l - j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -181\/8875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 11*m**4\/3 + 7*m**2 - 662*m. Let k(l) = -l**2. What is w(k(z))?\nAnswer: 44*z**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -455286 - -2?\nAnswer: -455284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:37 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43836 times -178\nAnswer: -7802808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/14796 and 53\/59284.\nAnswer: 219291516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = x + 11, x + 2 + 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101889269789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8*70*-20 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**3\/6 + 4*r**2 + 13*r. Let z be v(0). Suppose -z*l + 4 = -4*l. Solve 3 = 2*x - l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -418, 61, 564, 1103, 1690, 2337, 3056, 3859?\n\"Answer: 2*k**3 + 465*k - 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2 and 59\/880?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 2, -84, -318, -766, -1494, -2568, -4054?\n\"Answer: -11*j**3 + 25*j**2 - 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a)**(-39))**(-1\/5) assuming a is positive.\nAnswer: a**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 562 - 561.9769. Let d = v - 0.032. Round d to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12649, 25307, 37965, 50623, 63281?\n\"Answer: 12658*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddddaad?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49011*m**3 + 9*m**2 + 1160404?\nAnswer: 147033*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w - 28. Calculate v(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1870 and 510.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, v: 2, y: 4, h: 1}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 3*r + 4. Let b be h(-4). Suppose 3*w - 30 = -t, 2*t - w + b*w - 81 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2. Suppose 0 = 4*a + 4, 0 = -u + 6*u - 2*a - 12. Let i(n) = u*n - n + n. What is i(w(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 11101?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l - 12. Let h = -59 - -112. Let m = -48 + h. Does 9 divide p(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10882, -10886, -10894, -10906, -10922, -10942, -10966?\n\"Answer: -2*m**2 + 2*m - 10882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 396646 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152053.7 rounded to the nearest 10000?\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3211380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2431322 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**11*x)*x**8*x**(-6)\/((x\/x**4)\/x) assuming x is positive.\nAnswer: x**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/4 - 5*j**3\/3 + 2*j**2 - 6*j - 6. What is the lowest common multiple of l(5) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - 1.3. Suppose -39*z + 31*z = -136. Suppose 5*l + z = 12. What is the third smallest value in l, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1\/2*2. Let x(l) = -32*l + 46. Let c be x(1). Solve -19*u + c*u - 25 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2033 + 2037. Let n be 16\/12*(-2)\/8. What is the closest to n in 2, w, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccuccuoccccshco?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by -2?\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keeerlekkeieweelirlk. What is prob of sequence wee?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 34. Suppose 3*f + 4*m = n*m - 67, 0 = 4*m + 16. Let j be (f + 22)*2\/(-7). Which is the closest to 1? (a) 3 (b) j (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1004781610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 39 = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104786 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 2*m**2 + 0*m**2)*(-4*m - 3*m + 3*m) - m + m + m**3 + (-3 + 5 + 0)*(3 - m**3 - 3).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -53, -84, -135, -212, -321?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85250.\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w - 3*q = -282, 317 = 3*w - 4*q. 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 hundred thousands digit of 11499883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/5 (b) 185 (c) -1\/6 (d) 1\/2 (e) 1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.37 - 0.37. Let n = 1 + -1.2. What is the biggest value in -2\/9, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k, 3*m - 26444 = k + 4514. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*((-168)\/30)\/(-14). Let g(t) = t**3 - t**2 - t + 7. Let n be g(0). Let b be (2\/n)\/(r\/(-28)). Solve z + b = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 7106317?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191989 is divided by 162?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*w - 5, 11 + 1 = 3*w. Let x(n) = 6*n - 1. Let q be x(p). Does 8 divide 4\/((5\/2)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3757, -2, 4, -4, -8, 0, 2 in descending order.\nAnswer: 3757, 4, 2, 0, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1\/5 (b) -0.5 (c) -10 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/9)\/(-2) + (-16)\/(-72). Which is the third biggest value? (a) 0.5 (b) 2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -640250, -1281279, -1922310, -2563343?\n\"Answer: -l**2 - 641026*l + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**5\/60 + 17*t**4\/8 - 41*t**3\/3 + 285*t**2. Is 21 a factor of c(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*j + 351 = -531, 5*q + 5*j = 4485. Let l = 7219\/8 - q. Which is the biggest value? (a) -6 (b) -0.13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.7 - 28. Let t = 12 - 11.3. Let s = t - m. Which is smaller: 2\/53 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.482 - -1.481378. Round m to five decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(64\/(-12)*(-3)\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 49*x - 34. Let k(d) be the second derivative of -49*d**3\/6 + 33*d**2\/2 + 2*d - 18. Let m(h) = 3*f(h) + 4*k(h). Differentiate m(y) wrt y.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/14, -4, -54?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -2. Let g = 0.02 + 2.98. Which is the nearest to 0.2? (a) g (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(2\/(-4)). Let c be -2 + ((-6)\/(-3) - o). Solve c*a = -5*w + 34, a + 1 = w - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33218938 greater than or equal to -99656812\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 45 = -9. Let t be (2 + 12\/y)*(-45)\/(-6). Which is the third smallest value? (a) t (b) 2\/13 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55903 is divided by 343.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t - 15 = 0. Suppose 0*s + t*s = 30. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259 and 423.\nAnswer: 109557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/31, 0.5, -9\/5, -15\/4 in descending order.\nAnswer: 0.5, -6\/31, -9\/5, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1043 + 1182. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16.9 (b) 3 (c) -4 (d) -327 (e) 0.01 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 67, 81, 115, 175, 267?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, 18 in increasing order.\nAnswer: -4, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j - 9*j - 50 + 57 + 18*j - 18*j.\nAnswer: -42*j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 315*a**2\/2 - 633*a\/4 + 631\/2.\nAnswer: (a - 631)*(a - 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2902399 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5213 (base 7) in base 13?\nAnswer: aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*t + 532 = -281*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k\/k**(-2))*k)**(-6\/13)*(k*(k*k**0)\/k*k)**(1\/43)*k**(-1\/7)*k**(-7)*k**(-5)*k**1 assuming k is positive.\nAnswer: k**(-45226\/3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 748\/(-14) + (-292)\/511. Let z(l) = l. Let q be z(6). Let f = u + q. Do f and -47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 3*p**3 + p**4 + (2 - 2 + p)*(-10*p**3 + p - p) + p**4 + 6*p**4 - 11*p**4.\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35, 210, 685, 1610, 3135?\n\"Answer: 25*a**3 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48497534 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + z = 9, 2 = 3*s - z - 13. Find the third derivative of q**6 + 0*q**6 - 2*q**2 - 3*q**2 + 0*q**s wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from odnnddadde.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 2, a: 1, t: 5, w: 4, v: 2}. Give prob of picking 1 g, 1 v, and 2 w.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (154 + 14 - 10)*(-w**2 - 3*w + 3*w) + (-2*w + 3*w + w)*(1 - 1 - 2*w) as p*w**2 + t*w + o and give p.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 84. Calculate the highest common factor of y and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -127? (a) 2 (b) 0.2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = -x - 4*x, -3*m - 13 = -5*x. Suppose -3*z + 12 = -u, 0 = -5*u - 0*z - z + 20. Suppose m*o - 35 = -u*o. Put -3, 3, o, -0.5 in decreasing order.\nAnswer: o, 3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 2*q. Suppose q = 5*o - 7 - 13. Suppose o*i - 29 = 15. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/394 or 0.1?\nAnswer: -3\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2 + 0*b**2 - 3*b**2 - 2*b**5 - 5*b**2 wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -209.1, -3, 10?\nAnswer: -209.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41725838?\nAnswer: 2, 7, 11, 29, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335298, 335292, 335286, 335280, 335274?\nAnswer: 335268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.420263 centuries in millennia?\nAnswer: 0.0420263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31425, 31522, 31683, 31908?\nAnswer: 32197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + 5982\/(-108)*2. Let a = -89 - y. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 5)*(1 + 2 - 1) + 0 + 5 - 3 + (132 - 13 + 1422)*(0 + 0 - 2))*(-2*a**5 + 5*a**5 - 2*a**5).\nAnswer: -3078*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/5)*s)\/s**9)\/(s**(-6)*s*s**(-7)) assuming s is positive.\nAnswer: s**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 111180877 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*z + 28 = -z, 2 = x + 3*z. Solve 2*j - 3*v = -3 - x, -j = -5*v + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u*u**(1\/9)))\/(u\/(u*u**18)))\/(u\/(u\/(u*u**(-12))))**(-26))**(-1\/6) assuming u is positive.\nAnswer: u**(2431\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 38*q - 458. Determine f(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74.3 and -5.\nAnswer: -371.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 302 - 212. Suppose -7*z + z = -s. What is the derivative of -12 + z*y**2 - 27 + 27*y**2 wrt y?\nAnswer: 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/13))\/y*y**2)\/((y**(18\/13)\/y)\/(y**23*y)) assuming y is positive.\nAnswer: y**(331\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 + 4*x**2. Suppose 2*o = f - 11, 6*o + 35 = f + 12*o. Let n(r) = 9*r**3 + 11*r**2. Let s = -14 - -8. Calculate f*w(b) + s*n(b).\nAnswer: -3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2\/9*w**2 + 8\/9 + 0*w = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 9, -w - 5*q + 911 = 915 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72277 + -866663\/12. Let a = -166\/3 + f. What is the closest to -1 in a, -0.3, 4, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34046 - 34045.8. Let a = -14 - -13.91. Do a and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 3*b + 2*b**4 + 2*b**4)*(b - 2 + 2).\nAnswer: 4*b**5 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/42372 and 67\/16389.\nAnswer: 77159412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7168019755 + 7168019755 + 31*z.\nAnswer: 31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + d + 345 = 4*y, 4*d - 216 = -2*y. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 54660 = 25*i - 28*i, 5*i - 43691 = -4*u. Is u a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 4*i**2 - i + 4. Let v be x(4). Let g(a) = 3*a**3 + a**2 - 2*a + 1. Let f be g(1). Let w = v + f. Sort w, -2, -3 in ascending order.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-4) + 1\/2. Let p = j + -5. Suppose -4*a - a = 25, 5*z - 4*a - 70 = p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = q - 28, -2*q = -2*p + p - 31. Suppose -2*g + 2*d + 33 = -d, -5*g + 3*d + 60 = 0. Calculate the remainder when q is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**4 - 382*x**2 + 2977*x?\nAnswer: 48*x**2 - 764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3058436, 6116848, 9175274, 12233720, 15292192?\n\"Answer: d**3 + d**2 + 3058402*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 + 4*v. Suppose 2*o = 6*o - 92. Calculate the remainder when o is divided by b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*g**2 + 928 - 928 + (-2*g + 11 - 11)*(-4*g + 4*g + 2*g) + 5*g**2 - g**2 - 8*g**2 in the form j*g**2 + u + t*g and give j.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214827492 and 528.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/(-4))\/(5\/800*5). Suppose -100*k = -j*k + 288. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgmjgjgggjg. What is prob of sequence jjg?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 1. Let u(y) = 58*y. Let m(w) = -494*w + 1. Let l(n) = -6*m(n) - 51*u(n). Calculate l(d) + 4*p(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60289568 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 - d**2 - 2*d - 2. Determine w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.075 (b) 0.2 (c) 14546 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355065487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 49\/6 of a minute?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -6*m - 160. Let z = m - 44. Let g be ((-2 - -3) + 0)*z. Let x(o) = -o**3 - 3*o**2 + 7*o + 5. Give x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42246 + -23024?\nAnswer: -65303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*t = -15, -5*t = -4*v + 19 + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 11*n + 6*n - 31606, 0 = -7*g + 3*n + 221274. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 77 = 68 - 98 - 100 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 4dbc0f?\nAnswer: -4dbc13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2008.7 rounded to the nearest ten?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.5, -26, 10\/13 in decreasing order.\nAnswer: 10\/13, -0.5, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/14 + -4 - -6. What is the closest to 0.1 in -5, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.062 + 0.362. What is the biggest value in l, 2, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 52 = 4*a + 5*x, -3*x = -a + 9. Suppose -g = g - a. What are the prime factors of g\/(-16) + 206\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 120\/7*m**3 - 36\/7*m**4 - 4\/7*m**2 + 48\/7 = 0 for m.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*y = -49 + 22, -5*y = 2*s - 4. Suppose -n + 3*v = n - 5424, -4*v = -4*n + 10848. Suppose s*u - n = -u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(1\/6). Let x(m) = -m - m - 5*m + t*m. Calculate x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/40 and -23\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*y - 30, 5*n + 205*y - 203*y = 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 66*x - 810. Give f(-83).\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380506?\nAnswer: 2, 23, 30011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.8 + -10.92. Let q = u + 0.52. What is the second biggest value in -4, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072301978 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 295930 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011110 + -1?\nAnswer: -1100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*l**5 + 0*l - 2\/9*l**4 + 0*l**2 + 4\/9*l**3 + 0.\nAnswer: -2*l**3*(l - 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 23*y - 45. Suppose 120 = 8*b - 96. Let p be x(b). Suppose p*c - 67*c + 528 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 3) in base 5?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 3*k**2 - 2*k + 1. Let g be w(3). Let s be 19494\/(-160) - g\/20. Let t = 612\/5 + s. What is the common denominator of 95\/62 and t?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*g**2*x**3 + 2142*g**2*x**2 - 10*g*x**3 + 5521*x**3 - 1231 wrt x.\nAnswer: -60*g**2 - 60*g + 33126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003788 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -3 + 24\/(-16))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 4 + 4 + (3*t + t - 2*t)*(2 - 5 + 1) - 2 + 2 - t + 102 + 45*t - 102 + (-2*t + 3*t + 0*t)*(1 - 3 + 4).\nAnswer: 41*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/32 - (-1342)\/(-16). Let o be (r\/(-35))\/((-2)\/(-120)). Let x be 21\/35 + 252\/30. What is the greatest common divisor of o and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/45 in 10\/7, 4, -4?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*z + 6*z**2 - 76*z**3 - 5*z**2 - 62*z**3 - 19*z + 1 to the form c*z**2 + u*z**3 + l*z + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 5465*t - 5446*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6184, -6081, -5980, -5881, -5784?\n\"Answer: -z**2 + 106*z - 6289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + -2241?\nAnswer: -2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, q: 2, w: 4, o: 2}. What is prob of picking 2 w and 2 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6992 and 1368.\nAnswer: 62928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - v**2 + 5*v**2 + 4*v**2 to the form a*v + p*v**2 + m and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-4) + (-18)\/24. Factor 120*f + 31*f**2 - 10*f**2 - m*f**3 + 0*f**2 + 3*f**3 + 100.\nAnswer: (f + 1)*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*h**4 - 6*h**4 - 16*h**3 + 0 - 25*h**4 - 3*h - 2 to the form d*h**4 + o + a*h**2 + z*h**3 + m*h and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -5, 1\/3, -0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + 1 + sqrt(567) - (sqrt(567) - (1 + sqrt(567) + 1))) - 4*((sqrt(567) - (sqrt(567) - (1*sqrt(567) - sqrt(567)))) + 2 + -3))**2.\nAnswer: 378*sqrt(7) + 5152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8114372 microseconds to hours.\nAnswer: 0.000000000503177","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 54715.69ml to litres.\nAnswer: 54.71569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8 - -8) + -1 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.1 + -5.9. Let t = 8.1999918 - y. What is t rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 14*l**2 + 2*l - 31. Let p be h(14). Let y be (-88)\/160 + p\/(-4). Which is the third biggest value? (a) y (b) 1\/46 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 7:58 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1 (b) 0.2 (c) -2788\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3) - 50\/(-15). Let k be -6 - -261 - 5 - i. What is k rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*((sqrt(7) + sqrt(84)\/sqrt(192))**2 - (sqrt(7) - (sqrt(28)\/sqrt(4) + 2))**2) + 2*((1 + sqrt(847) + -1)**2 - (0 + -1*sqrt(847))).\nAnswer: 22*sqrt(7) + 13703\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11.5 - -1.091\nAnswer: 12.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*m + 0*m**3 - 104*m - 54*m**2 - 20*m**3 - 7*m**3 - 3*m**4 = 0. Calculate m.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -16*x**2. Let v(r) be the second derivative of -16*r + 7\/12*r**4 + 0*r**2 + 0*r**3 + 1. Give v(t(d)).\nAnswer: 1792*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, p: 8, y: 2}. Give prob of picking 1 p, 1 y, and 2 w.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 897*i**2 - 7129*i + 143. Calculate a(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/((w**(10\/3)\/w*w)\/w)))\/(w*w**(-3\/2)) assuming w is positive.\nAnswer: w**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -b8e6?\nAnswer: -b8e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -107414 - 48070. Differentiate -172 - 93*u**2 + u**4 + u**4 + 17276*u**3 - m*u**3 with respect to u.\nAnswer: 8*u**3 - 186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 23*w**2 - 22*w - 3. Let q be h(22). Let f(i) = i**3 + 3*i**2 + 3*i + 2. Determine f(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112.4613ml to litres.\nAnswer: 0.1124613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 4*w + 3. Let s(i) = -i**2 + i + 1. Let b(c) = -2*s(c) - x(c). Let n = -285 - -294. Determine b(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -581 + 583. Suppose 0 = -4*b + 5*n + 2242, b + x*n - 2228 = -3*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 4. Let n = 31 - 24. Calculate k(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21916 by 1.\nAnswer: -21916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20328, -20509, -20982, -21885, -23356, -25533, -28554?\nAnswer: -32557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53128480813589734\/269175 - -197375242180. Let w = u - 1\/17945. Let c = 3\/25 - w. Sort 1\/9, c, -0.3 in decreasing order.\nAnswer: 1\/9, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 13) + 5 + -7. Let q = s + 29. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128474.\nAnswer: 2, 64237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/6 + k**3\/3 - k. Calculate t(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 + 4 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:32 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(440))\/sqrt(8))\/(sqrt(11)*1*5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/31, -0.03518, 2\/3, -571?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14*(-3)\/(-6))\/1. Let o(d) = -d**2 + 23*d - 113. Let f be o(8). Calculate the greatest common divisor of f and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 6.8. What is the nearest to 3 in a, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -11, 1.\nAnswer: -11, -9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -27326*u + 929106. Give d(34).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/1788339917 and -67\/8.\nAnswer: 14306719336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9 = -6. Let b = -5 - c. Let d = 2 + b. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(432) + 2) - (sqrt(432) - -3*(2 + sqrt(432))))**2*3*4.\nAnswer: 1152*sqrt(3) + 5376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**6\/2 - 15*a**4\/4 + 11*a**3\/3 - a**2 + 66. What is the third derivative of o(i) wrt i?\nAnswer: -180*i**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -29138*j. Let c(f) = -6893*f. Calculate c(p(q)).\nAnswer: 200848234*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:40 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 2. Suppose 4*y = 6*y - c. Suppose 2*f + 3*z - 103 = 0, y*f - 241 = -4*z + 2*z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**5\/20 - q**3\/3 - q**2 - q. Let n(u) = -4*u**3 + 60*u**2 - u + 13. Let p be n(15). Determine m(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 18. Let d = -18 + n. Solve -5*g = -d - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -32857?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdqd when four letters picked without replacement from qqqqqqdqqqqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 0.4 (b) 0.2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11928235.\nAnswer: 5, 11, 216877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**3\/2 - 15*n**2 - 15*n - 32. What is g(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 1)\/((-1)\/5). Let x(n) = 49*n**3 - 4*n - 5*n**2 - 75*n**3 + 31*n**3 + 3*n. Let m(w) = -9*w**3 + 9*w**2 + 2*w. What is c*x(z) + 3*m(z)?\nAnswer: -2*z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30932 and 1748?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -357, -1257, -3037, -5991, -10413, -16597?\nAnswer: -24837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 9*a - 2057. Let t = -101 + a. Calculate the remainder when 198 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.364 - -0.164. Sort 3\/28, j, -4 in ascending order.\nAnswer: -4, j, 3\/28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2. Let f(p) = 5*p**2 - 7*p + 14. Let x(i) = -2*i**2 + 3*i - 6. Let m(n) = -6*f(n) - 14*x(n). What is o(m(v))?\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -4 (b) -3 (c) -1.05 (d) 3\/8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3039177 + 10823. What is c rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2510821 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -11.8765?\nAnswer: -190.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 773298.2 days in hours?\nAnswer: 18559156.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 806 + -805. Let a(k) = -k + 17. Let r be a(p). Let o(x) = x**3 - 6*x**2 + 9*x - 6. Let n be o(6). What is the highest common factor of n and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2928603 - (1\/1 + -4). What is w rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62596, -62546, -62492, -62434?\nAnswer: -62372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 52*o - 156. Let t be y(8). Solve -3*i = b - 18, 4*i - t*b = -0*i + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 5753?\nAnswer: 17259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8880*d*f**2 - 9*d*f + 42752125*d + 2*f**4 - 5*f wrt f?\nAnswer: -17760*d*f - 9*d + 8*f**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105773218.\nAnswer: 2, 17, 47, 66191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2216 and 10.\nAnswer: 11080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8970, 17969, 27014, 36129, 45338, 54665, 64134?\n\"Answer: 4*m**3 - m**2 + 8974*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ba (base 12) to base 2\nAnswer: 10001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 15*n**2 - 6 + 34476*n**3 - 34477*n**3 + 0*n - 13*n. Determine c(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225082 and 176?\nAnswer: 1800656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, -29, -110, -233, -398?\n\"Answer: -21*y**2 + 24*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 119122 divided by 102\nAnswer: 59561\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15042370 + -45200715. Let c = -22624381 + 6466036. Let v = c - h. What is v rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**2 + 4*h**2 + h**3 - 20*h**2 - 15*h**3 - 5*h**3.\nAnswer: -19*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5bb8 - 8c?\nAnswer: -5c55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5158 + -4238. What is the smallest common multiple of 184 and y?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/6 - (10 + 4 + -6). Sort -6, j, 2, -12, -5.\nAnswer: -12, -6, -5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -318*a**2. Let i(p) = -2*p. What is i(u(n))?\nAnswer: 636*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2208348586 to the nearest integer?\nAnswer: 46993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 32*r**3 + 45 + 16*r**3 - 27.\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h - 5*b, 0 = 4*h - 0*h - 5*b - 8. Suppose -2*a + 5*a - h*z = 431, -5*a + 713 = 2*z. What is the highest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 7 = -j, -2*j + 8*j = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15486 = 65*k - 71*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 4, n: 7}. Give prob of sequence pznp.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193*r + 1458 - 2318 + 860.\nAnswer: 1193*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u - 17 = 45*u - 101*u - 4*k, 6*u - 22 = -4*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680*x = 15307 - 1027 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4900 + -2791. What is the greatest common factor of 57 and b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:32 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-13)\/((-364)\/16) - (-160)\/(-35))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -13*o**8\/10080 - 3*o**6\/80 + o**5\/3 + 15*o**2. Let i(a) be the third derivative of g(a). Differentiate i(v) wrt v.\nAnswer: -52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76.5467 + 38602863.\nAnswer: 38602786.4533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*s**3 - 2*s - 121*s**3 + 479*s**3.\nAnswer: 410*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 41025, 42929, 44833?\n\"Answer: 1904*u + 39121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 6 + 1)*(3 - 1 - 3)*(-3*q**3 - 2*q**3 + 6*q**3) as o*q**3 + r + k*q + m*q**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2. Let l(f) = f. Let a(q) = q. Let y(z) = 7*a(z) - 5*l(z). Give y(p(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650626 and 1178?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffuuffu. Give prob of picking 1 f and 1 u.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 157, 1784, 4875, 9430?\n\"Answer: 732*k**2 - 569*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**2\/2 - 2*v - 11. Let c be x(-7). Suppose -2*f = -4*s - 60, -2*s + 50 = -c*s + 4*f. Are -14 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 + -184. What is the highest common factor of n and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (698 + -636 - ((-1 - 12) + -3))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 + 0 = 4*l, 0 = l - 3*s + 9. Let y = l + 0. Suppose m = y*m - 4*t + 8, -4*m + t + 19 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1562711?\nAnswer: -1562710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**4 - 9*h**3 + 17*h**2 + 3*h - 1180. Let n(z) = 2*z**4 + 3*z**3 - z. Let u(v) = 6*n(v) + 2*x(v). Find the first derivative of u(s) wrt s.\nAnswer: -8*s**3 + 68*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153435 (base 10) in base 4?\nAnswer: 10121212123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((468\/(-1352))\/(6\/(-26))).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 24*u - 182. Suppose -5*j + 5*p = 170, -3*j + 25*p = 30*p + 70. What is z(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9554 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11363 + (-19)\/(57\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/63)\/((-44)\/(-198))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38730215?\nAnswer: 5, 797, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 54*c - 63 = 59*c, 4*y - 89 = 5*c. Solve -y*a = -29*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 1. Let h(v) = -5*v**2 + 5*v - 11. Let a(k) = h(k) + 6*n(k). Let o be a(-5). Is ((-20)\/(-6))\/(o\/(-15)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8*f - 84. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*i + 18 = -427*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - ((-3)\/1 - 2). Find the second derivative of 10*b**2 - m*b + 3*b + 13*b wrt b.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.724 + 1.414. Let m = 5.31 + c. What is the biggest value in 1, m, -5\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b**2 + 10*b**2 + 20*b**2)*(b + 0*b + b).\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/6)\/(1482\/17784).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((16 - 10) + 1 - -108) - (5 + -8)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, m: 1}. What is prob of sequence ccc?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*k + 3*c, 2*c - 3 = -4*k + 9. Suppose 29 + 16 = k*v. Calculate the greatest common divisor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -962929\/6453 + 1343\/9. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/117 + (-14)\/63. Is -1 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4727*l**2 - 29*l + 29*l - 4747*l**2.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 + 2889\/19. Put 2\/11, f, 3, -0.2 in descending order.\nAnswer: 3, 2\/11, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**23\/o*(o*o**27*o)\/o)**(-27) assuming o is positive.\nAnswer: o**(-1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2943 is divided by 71?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (246\/30 - (6 - 1))*125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/(528\/(-105) + 5). Suppose 3*q - 20 = 4*m, -3*q + 3*m - h = -7*q. Solve -q = 2*j - 3*k, 0 = -2*j + 3*k + 2*k - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069792487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 + (-18)\/5. Let i be 7 - 2*(-2)\/u. What is the highest common divisor of i and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109737, 107794, 105853, 103914, 101977?\nAnswer: 100042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 16*w - 54. Let i be f(7). What is the first derivative of 178 - 142 + i*k**2 + 4*k**3 - 3*k**3 wrt k?\nAnswer: 3*k**2 + 116*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -318.172 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3449, 3447, 3443, 3437, 3429, 3419?\n\"Answer: -q**2 + q + 3449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j - 3*j)*(-62 + 51 + 2*j + 39).\nAnswer: -4*j**2 - 56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Let g(v) = -v**2 - 5*v + 2. Let b be g(-6). Let y = 20 - 21. Put t, b, y in decreasing order.\nAnswer: t, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-2)\/8)\/(-1)*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/4 + 29*p**3\/4 + 51*p**2\/4 - 81*p\/4 = 0. Calculate p.\nAnswer: -27, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*3\/(-12) + (-1 - -2). Suppose i*m = -p + 24, 2*p - 36 = -3*m + p. What is the highest common divisor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 239 + -92. What is the remainder when t is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, n: 6}. Give prob of picking 2 n and 2 k.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1158 = -5*v, p + p + 462 = 2*v. Let c be (3874\/447)\/((-2)\/(-6) - 0). Calculate the greatest common divisor of v and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-4 - 15 - -15)) + -56 - 1?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1728) - (sqrt(1728) - sqrt(1728)*-2*-2))*6)**2 + 3.\nAnswer: 995333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198861 and 20396.\nAnswer: 795444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*(-3 - -3). Suppose x - 2*x - f + 6 = n, 16 = 2*x + 4*f. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304019388 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2911 - 1665262\nAnswer: -1665261.7089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnt when three letters picked without replacement from {n: 3, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (0 + sqrt(3) + 4 + sqrt(3)))**2 - (sqrt(21)\/(1*sqrt(7)))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(1433*t**3 + 3085*t**3 + 1290*t**3).\nAnswer: 11616*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 2. Let l(q) = -3*q - 1. Let w(u) = -2*j(u) + 5*l(u). Let h be w(-4). Suppose 0 = 5*c - 242 - 33. What is the highest common factor of c and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4, -6290, -2, 2 in increasing order.\nAnswer: -6290, -4, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*c + 3032 = 0. Let s = c - 261. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 2, h: 2}. Give prob of sequence hgv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*w - 19301577 = 79*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -24*u + 80 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 119*y = 114*y + 7, -4*r = 2*y - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*o - 122*o - 70 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 35118*g**2 + 5. Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 69, 2, -1965, -5, -1, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 11. Let z be x(-4). Suppose -4*g = 3 - 19. Calculate the remainder when 13*(z + -1 + 0 + 1) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -2348674?\nAnswer: 2348673.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -0.0250965.\nAnswer: 0.1749035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -326 (b) -11222 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1340*q - 18889. Calculate x(-16).\nAnswer: 2551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5277*j. Let c(k) = 31*k**2 - k. What is w(c(r))?\nAnswer: -163587*r**2 + 5277*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1217068386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 + d + 5*d**3 + 31 - 43 - 4*d**3. Let i be z(7). Let c(o) = -o**2 - 6*o - 8. Let m be c(i). Let k(g) = 3*g + 4. What is k(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 147*d**5\/5 + 84*d**4 + 426*d**3\/5 + 36*d**2 + 27*d\/5 = 0.\nAnswer: -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 1, w: 5, u: 5, r: 3, z: 2}. What is prob of picking 1 r and 1 w?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 36 = 2*c. Solve -5*z = 3*i - 2*i + 18, 2*z - 6 = c*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26732190, 53464382, 80196574?\nAnswer: 106928766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15051919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.865789.\nAnswer: 0.2597367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 22 = 5. Let p(f) = -2*f + 45. What is the remainder when y is divided by p(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3280)\/(-8) - (-3)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -14) + -5 - (1 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.77784664 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 12*a - 2. Let i be f(4). What is the first derivative of i + 4797*n - 14*n**4 - 4797*n wrt n?\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**40\/u)\/(u\/(u**(-25\/4)\/u))*u**40*u**(-16)\/u)**26 assuming u is positive.\nAnswer: u**(2795\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(2\/12). Let p be (-12)\/(-5) - (-4)\/(-10). What is the units digit of o\/1*9\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 8, -4, 5, 21, -133, 2.\nAnswer: -133, -14, -4, 2, 5, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.1 + -21.1. Which is the nearest to -1? (a) r (b) -4\/3 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/24 - 11*t**3\/6 + t**2 + 3*t. Give m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = 6*n - 3*n, -2*r = 3*n - 19. Solve 5*g + 8 = 4*h, -n*g - 5*h + 0*h = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Suppose -10 = p - q*p. Solve -5*i + 0*u + u - p = 0, 1 = -i + 3*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**3 + 18*t**3 - 1 - 4*t**2 + 14*t - 64*t - 14*t**3 to g*t**2 + c*t + b + v*t**3 and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(112) - -4*sqrt(112)) + 4 + (-4*sqrt(847) + sqrt(847))*-3)**2.\nAnswer: 792*sqrt(7) + 68623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85816?\nAnswer: 2, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1265709, -2531419, -3797129, -5062839, -6328549, -7594259?\n\"Answer: -1265710*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276187 (base 9) to base 7.\nAnswer: 1301266","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose 3*i + 9 = 3*q, -g*q - 2*i + 9 = -0*q. Let z(m) = 4*m + 3. Let v(y) = -9*y - 6. Give q*v(t) + 7*z(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4 - -1.6. Which is greater: t or 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 548, 1280, 2304?\nAnswer: 3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/10)\/(((-56)\/300)\/7). Does 26 divide (-9)\/(-15) + 2322\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -259*w - 505. Calculate k(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30330 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, n: 2, q: 3}. Give prob of sequence nt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*(2 - -94). Let b = -24 + n. Let u = b - 20. Solve -u = -4*z - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25612496 by -11.\nAnswer: -25612496\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.553 minus -5?\nAnswer: 5.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/15)\/(1316\/7791). Let l be (15\/(-4935))\/(2\/(-7)). Let m = l - x. Is m <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -18. Let o be (0\/(4 + -7))\/2. Suppose -3*d + 9 + 3 = o. Which is the biggest value? (a) -2 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -34*u - 2582. Let c(l) = -49*l - 3873. Give 7*c(x) - 10*t(x).\nAnswer: -3*x - 1291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48151 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -214586 (base 10) to base 7\nAnswer: -1552421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 8*i**2 + 2*i. Let o(l) = -l**3 - 4*l**2 + l. Suppose -b - 4*b + 40 = 5*u, 0 = -3*u + 3*b - 6. Give u*n(f) - 5*o(f).\nAnswer: -f**3 - 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1296\/5 + 260. Let u = 2.5 - 3. Which is the nearest to 0.2? (a) -2 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 19, 37, 65, 103, 151?\n\"Answer: 5*d**2 - 7*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1535576 and 19356.\nAnswer: 4606728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-21 - -1)*(-10)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2245 + 2247. Let f = -84 + 150. Suppose -4*h + h + f = 0. What is the highest common factor of h and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 202, 207, 212, 217, 222, 227?\n\"Answer: 5*v + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.051, -48, -41, -4?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 81. Let f = 33.3 - u. What is the smallest value in -0.2, f, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*w + 3439, -3*w + m - 6*m + 3419 = 0. Suppose -15*a + w = -6*a. List the prime factors of a.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 1174 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3574888934 to the power of 1\/2, to the nearest integer?\nAnswer: 59790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 93071, 186126, 279181?\n\"Answer: 93055*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -60. What is the tens digit of 3\/(-4)*(-52)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276818 is divided by 1741.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -15*j + 61. Let t be 15\/12 - (-1)\/j. Sort -2, t, 2 in descending order.\nAnswer: 2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 10, w: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-44)\/4 - -6) + 5. Let h = 2 + -6. Which is the smallest value? (a) -2\/7 (b) k (c) h (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 + -1)) + (8 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t + 228234 - 777504 = -34*t. Does 113 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184068169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26102, 53042, 79982, 106922, 133862, 160802?\nAnswer: 187742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5))\/(d**7\/d)*(d\/d**(1\/3)*d*d*d)**1)**(-38) assuming d is positive.\nAnswer: d**(-418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1040034 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 6.4\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -26. Suppose -t*r + 9*r + 2*q = 969, 323 = r - 4*q. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 2)**2*-2 + ((sqrt(98) + sqrt(98) + (sqrt(98) - (sqrt(98) - sqrt(98)*3)*-3))**2 - sqrt(98)).\nAnswer: -63*sqrt(2) + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -847 - -849. Let m(s) = -3*s + 8. Let a be m(-6). Suppose 4*n = -3*q + a, f*q + 12 = n - 0*q. Solve 2*u - n = -h, 4*u = h - u + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 721331. Let p(s) = 6*s. Determine g(p(i)).\nAnswer: -6*i + 721331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-14) + (-2)\/(-7). Let v(z) = z**2 + 73*z + 1328. Let g be v(-39). Calculate the greatest common factor of g and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2 - 0 - 1. Let n be (-3)\/(-36)*330\/20. Let p = n - 81\/56. Sort -0.2, -4, p, u.\nAnswer: -4, -0.2, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 10*t**2 + 66*t + 1. Calculate w(-6).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 34094037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 369*p**5 - 1101*p**4 + 1089*p**3 - 351*p**2 - 6*p.\nAnswer: 3*p*(p - 1)**3*(123*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3491293, -8\/3, -3 in descending order.\nAnswer: 3491293, -8\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 367016 + -164?\nAnswer: 366742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - -1.69. Let a = 0.01 + i. Put 0.5, a, 0, -1\/7 in ascending order.\nAnswer: -1\/7, 0, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*c + 6757 = 439. What is the greatest common divisor of 598 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 6:10 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 2842\/3, 3\/16 in increasing order.\nAnswer: -5, 3\/16, 6, 2842\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - (1 + -11 - (-41 + 38)) - 9?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - n)*(3*n - n + 0*n) + (1 + 0 - 3)*(n**2 + n**2 - n**2) + 2 + 6*n**2 - 2 as x + q*n + a*n**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-9 - -7) - 11 - (-5 + 1) - -39.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 + 2 = 0. Let c(y) = -y + 11. Let t be c(9). Let q(m) = -3 - 3*m - 4*m**t + 5*m**2 - 2*m**2. Give q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10673, -10678, -10683, -10688, -10693?\nAnswer: -10698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43274*r - 340 = 43254*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Sort -0.1, x, 0.8 in ascending order.\nAnswer: -0.1, 0.8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-63)\/3024*7\/(105\/(-18))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3665712 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let u(x) = -229*x - 571*x - 642 + 642 - 202*x. Determine u(b(c)).\nAnswer: -2004*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 18 = a, -2*a + 7 = 4*o - 13. Let h = -0.7 - -3.7. Let n = -1 - h. What is the smallest value in -1\/3, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 32*x - 73. Let c be o(-29). Solve -15*k = -c*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h**2 - 2253 + 2247 + h - h**3 + 4*h**2. What is q(-12)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 2*u**2 + 4*u. Let h = 15 + -21. Let q(g) = -6*g**3 + 6*g**2 - 11*g. Give h*q(c) - 17*w(c).\nAnswer: 2*c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/3 + 14*j\/3 + 8 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/767 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4686*b - 210*b - 4510*b + 319804 = 0 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -2*q - 72. Let b = 19 + -24. Sort -3\/2, 4\/7, b, q in descending order.\nAnswer: 4\/7, -3\/2, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98112705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -1, 6\/23, -5?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -670002*x + 6. Let i be b(3). Round i to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/8 + 2*s**3 + 112*s**2. Let w be ((-3)\/(-2))\/(8\/(-48)). Calculate p(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**2\/2 + f - 9. Let d be (1 - (1 - -5)) + 0. Calculate u(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 518268746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 29. Let m(b) = -b**3 - 9. Let g be m(0). Let r = g + y. Let o(w) = -w**3 - 5*w**2 + 6*w - 8. Calculate o(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 13*b = 19. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 - 4*j. Suppose 5*z + 14 + 16 = 0. Let v = 10 + z. Give r(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 4*r - 3. Let w be f(5). Suppose -o = -w*j + 4, -j + 3*o = 5 + 3. Find the third derivative of 0*b**4 + b**j + b**2 - 2*b**4 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4681.585 decades?\nAnswer: 468.1585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1120103 - 12?\nAnswer: 1120031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:43 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let d = -300\/7 + 43. Which is the second biggest value? (a) k (b) -6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20751024 to the nearest integer?\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccnnccnc. Give prob of picking 3 n and 1 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -165, -244, -363, -534, -769, -1080?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1487, -12492, -42359, -100520, -196407, -339452?\n\"Answer: -1572*z**3 + z**2 - 4*z + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**6 + 345*g**5 + g**2 + 35.\nAnswer: 480*g**3 + 20700*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936166022.\nAnswer: 2, 3, 7, 15366397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84824 divided by 42412.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o**2*q**3 - 3*o**2 + 23*o*q**3 + 7*o*q - 4*q wrt q?\nAnswer: -42*o**2*q + 138*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800238682 to the nearest integer?\nAnswer: 28288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -18\/5*f - 21\/10*f**6 - 164\/5*f**3 - 321\/10*f**4 - 159\/10*f**2 - 1 - 354\/25*f**5. What is b in g(b) = 0?\nAnswer: -3, -1, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -37*q. Let n = 1363 + -775. Let g = n - 563. Calculate the remainder when k(-4) is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(-4 - (0 - 3)). What is the second smallest value in 13, 1\/3, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 45*n - 32. Suppose 0 = 4*s - 3 - 73. What are the prime factors of k(s)?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(125))**2 - (sqrt(40)\/(3*sqrt(8)) + sqrt(5)) - (-1 + sqrt(320)*-2 + -3)**2.\nAnswer: -1162 - 478*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3540 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -40. Suppose 2*v = 5*z + 89, 3*v + 4*z - 2 - 120 = 0. What is the remainder when v is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-7)\/(70\/(-2))*1\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4 - 5. Suppose -4*n + 3*u = -35, 0*n + 5*n - g*u = 43. Let c be (-18)\/n*4\/(-3). Solve -3*y = -4*d - 1 + c, 5*d + 9 = -2*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4*p - 20, -867*i + 3*p = -870*i - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 307340?\nAnswer: 2151380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*f - 5 - 8, 4*o + 4*f = 8. List the prime factors of (-6)\/(-18) - (-311)\/o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243861, -243859, -243855, -243849, -243841?\nAnswer: -243831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122520 is divided by 61251?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 1. Suppose 0 = h*n + 6*n - 3100. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/187800 and 169\/516450?\nAnswer: 2065800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 2328.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81536, 163077, 244618, 326159, 407700?\nAnswer: 489241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.6 * -0.013.\nAnswer: -0.3718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = j + 15, 5*m - 35348*j + 35345*j = 43 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -678163.\nAnswer: 2034489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*b - 2351 - 294 = -58*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3849577265194\/4895 + -786430485. Let s be (-2)\/(-55)*(-3)\/(-534). Let g = s - v. Find the common denominator of g and -3\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.051 - 0.102. Let x = 4237 + -4238.949. Let m = x + k. Which is the nearest to 0? (a) m (b) 6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -710744 by 710744.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.89, 61403, 3?\nAnswer: 4.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -15*x**2 - 9*x**2 + 26*x**2. Let c(h) = -8905*h. Let a(t) = 61*t. Let k(i) = 585*a(i) + 4*c(i). Give q(k(y)).\nAnswer: 8450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 + -5*(-8)\/20 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1734528\/(-288)*1*9\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/152 and -44\/931.\nAnswer: 7448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1662*m*p**2 - 3*m*p*s - 1848*m + 8247008*p**3*s - 2*p**3 wrt s?\nAnswer: -3*m*p + 8247008*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1201111122010 (base 3) to base 13\nAnswer: 260841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16469 - -16480. Which is the closest to 0.1? (a) 5 (b) j (c) -0.2 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - (26 - -23) - 17) + 10 + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16016 + -6?\nAnswer: -16024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 1\/360*u**6 - 1\/8*u**4 - 21*u + 0*u**2 + 4*u**3 + 1\/120*u**5 + 0. Let p(s) be the second derivative of o(s). Give p(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1739 + -0.184659. Round l to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 k, 1 r, and 1 l when four letters picked without replacement from rklmrmrkrmmbaa.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5 + 128*j**4 + 2697*j**3 - 9956*j**2 - 17396*j + 24528 = 0.\nAnswer: -21, -2, 1, 4, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 11. Suppose 5*y - 2*p + 4 - 53 = b, -4*p = 3*y - 45. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y - 8*y + 37*y - 12*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1900) + -3.\nAnswer: 1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265139, 530846, 796553, 1062260, 1327967?\nAnswer: 1593674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1282 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(325) + 1).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/48 and (-4 - 2517\/(-168)) + -10?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - ((2 - 7) + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqqqc. What is prob of sequence ccq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 8*z**2 - 8*z. Suppose u - 29 + 10 = -5*q, -37 = 2*u - 5*q. Give l(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 506472*r**3*v**2 - 5*r**2*v**2 - 2*r**2*v + 13700144*r*v**2 wrt r.\nAnswer: 3038832*r*v**2 - 10*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = -0*u - v, 4 = 4*v. Let p = u - 3. What is the greatest common factor of 5 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + 5. Solve -2*q = -6, -5*g + 24 = -21*q + l*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -23*x + 256. Let d be 20*1*(-2)\/(-4). Let c = x + d. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3))**(5\/9)*(q**(-5)\/q)\/(q\/(q**(-10)\/q)) assuming q is positive.\nAnswer: q**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*14\/144 - (-8)\/(-18) and (-134)\/3*(-3)\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/4 - p**3\/3 + 5*p**2\/2 - 10*p. Let x(h) = -4*h**2 + 2*h - 6. Calculate -6*s(n) - 5*x(n).\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34401304 (base 5) to base 14.\nAnswer: 80b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.038 + -0.044. Let q = i - -0.08359. Round q to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -23 + 111. Calculate the least common multiple of a and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 78?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7129 divided by -1.\nAnswer: -7129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*3*-6 - sqrt(468) - (-3 + sqrt(468) + (-1 + sqrt(468))**2).\nAnswer: -466 - 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 102*w - 5799. Let a(x) = 184*x - 11600. Give -5*a(i) + 9*g(i).\nAnswer: -2*i + 5809","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1392.77 - -1380. Let v = g - -13. Let w = v + -5.79. What is w rounded to one decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = -9*v + 7421*y - 7417*y, 0 = -y + 2 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 3, 4, 5, 6, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -16, -1, 9.\nAnswer: -16, -1, 0.5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*o + 15 + 70, -2*t = -3*o - 72. Let l be (-2)\/(-11) - (-4)\/o. What is l rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -217, -424, -581, -664, -649, -512, -229?\n\"Answer: 4*y**3 + y**2 - 238*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.15.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1878 and 6.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 23*h**2 - 27*h + 39. Suppose 19 - 180 = 7*p. List the prime factors of o(p).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*l - 119*l - 3*l**2 + 26*l**3 + l**2 to the form z*l + v*l**3 + u*l**2 + p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + x - 58 = -356, 5*x - 1460 = -5*n. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28627*u - 28622*u + 39 = -41 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265\/9 + -29. Let b be 3 - (87\/(-27))\/(-1). Sort t, b, -5 in decreasing order.\nAnswer: t, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6286 = 129*r + 53*r + 1190 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4430.7 + 4430.70047074. Round u to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*u - 19, -2*p + 5*u + 12 = -13. Suppose -4*r = r + p. Does 8 divide ((-1)\/2)\/((-2)\/(511 - r))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185356678 times 0.2\nAnswer: 37071335.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 2673 + 2673 + 5*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:23 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 33 + (-6 - (-2 + 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 4*h - t, -2*h + 2*t = -0*h - 98. Let k = -45 + h. Let j(o) = 30*o**2 + 14*o - 35. Is j(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5440 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -18*a + 20*a. Let i(u) = u**2 + 0*u**a + 439*u - 439*u. What is i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 1\/2 (c) 24 (d) -0.014\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -714 (base 15) to base 4.\nAnswer: -120322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/9)\/(36\/8). Let h = -41\/54 - v. Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*d + 2*d = 15, 5*d = 2*f - 22 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001110 (base 2) to base 14.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let l(b) = 3*b**2 - 6*b + 6. Let i(q) = l(q) - 6*v(q). Let k(r) be the second derivative of -3*r**3\/2 - 5*r. What is i(k(f))?\nAnswer: 243*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3060, 2927, 2702, 2385, 1976, 1475?\n\"Answer: -46*n**2 + 5*n + 3101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13320 + 13?\nAnswer: 13333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - 3*m, 3*m = 4*a - a. Find the second derivative of 4*b**3 - 7*b - 3*b**3 - 11*b**a + 11*b**2 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000010110 + -1?\nAnswer: 10000000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**4*f - 6*a**2*f**3 + 3*a*f**3 + 500*f**3 wrt a?\nAnswer: 16*a**3*f - 12*a*f**3 + 3*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 691, 2740, 6147, 10912, 17035?\n\"Answer: 679*w**2 + 12*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13*o**3 + 3*o**2 + 2*o. Let w be u(-3). Suppose -2*l + 8*l = w. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 238*x**2 - 9*x - 34 + 247*x**2.\nAnswer: 9*x**2 - 3*x - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a5 + 3628?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*u + 44 = 0, -54*u = q - 53*u + 41 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9770 - -0.15.\nAnswer: -9769.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eff when three letters picked without replacement from {e: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -27505*k + 180. Let a be ((-42)\/(-7)*-3)\/(2\/(-4)). Let x be y(a). Round x to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63463 by -63.\nAnswer: -63463\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 3, i: 5, g: 3, v: 5, z: 2}. Give prob of sequence vz.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4155 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*k = -39 + 8, 43 = 3*n + k. Let l = n - 3. Let c = l + -5. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 13*z**4\/6 - 11*z**2\/2 - 204*z - 1. Let j(g) = 9*g**2 - 4. Let t be 4 + -5 + (1 - 11). Give t*j(r) + 4*c(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 14*w - 207. What is f(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 2, t: 2, p: 1}. Give prob of sequence yx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 3*k, -5 = k + 3*w - 0. Let v be 3\/k*3\/5. Factor -v*g + 2\/5 + 12\/5*g**2 - g**3.\nAnswer: -(g - 1)**2*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 883*z - 887*z - 30148, -2*y + 2*z = -60308. Is y a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*150\/17280*(-3)\/(-5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*h + 2. Suppose 4*u + 5*o - 183 = 0, -2*o + 3*o + 5 = 0. Suppose 0 = -h*c - 12 + u. Calculate the greatest common divisor of 15 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.2 and -0.04.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 + 5052*w**2 - 304914*w + 299860 = 0. Calculate w.\nAnswer: -2585, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 2*k + 2*k + 0 - 2*k + 0 + (1 + 0 + 1)*(3 - 3 - 2*k) - 4 - 2*k + 4 + 65*k - 143*k - 138*k.\nAnswer: -226*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 397*i**2. Let b(q) = 568*q**2. Give b(m(l)).\nAnswer: 89521912*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 33*g + 301. Let y be i(-9). Let x(v) be the second derivative of 0*v**y + 0*v**2 + 1\/140*v**5 - 2\/21*v**3 - 7*v + 0. Factor x(h).\nAnswer: h*(h - 2)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*18\/((-33)\/11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - h = -1114, -2*z = 3*z - h - 1870. Is z a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2978522?\nAnswer: 2, 1489261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6*u - 69. What are the prime factors of u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662046667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*y - 114, -150 = -3*y + 2*a + a. Suppose -2*n + y = -0*n. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -340, 2128, 8784, 21722, 43036, 74820, 119168, 178174?\n\"Answer: 349*i**3 + 25*i - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 471355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (51 + -45 - (-2 - -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z**7\/21 - 4*z**3\/3 + 2*z + 2. Let n(r) be the first derivative of p(r). What is the second derivative of n(b) wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 31. Suppose i = -b + 102 + 24. What is the greatest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 - 504*p - 2790. Give d(-96).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*d = 456*d - 944. What is the highest common divisor of d and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4578014?\nAnswer: 2, 7, 327001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*a + 2*z - 3*z, -3*z = -2*a + 42. Suppose 0*o + o + 66 = 0. Calculate the common denominator of -23\/16 and o\/(-56)*a\/(-36).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 294228.8 millennia?\nAnswer: 3530745600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257317 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83751 - 84417 = 9*z for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - 2*q**4 + 2*q**2 + (5*q**3 + q**3 - 3*q**3)*(11*q - 12*q + 63*q).\nAnswer: 184*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2208 + -2143. Put 1, d, 4 in ascending order.\nAnswer: 1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**4\/6 - 127*x**3\/6 + 32*x**2 - 59*x. Factor b(u).\nAnswer: -(u + 64)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, h: 3, x: 1, d: 1, s: 1, r: 2}. Give prob of picking 2 r and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1322187420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3328) + 0)**2 - 6*5*-2*sqrt(325).\nAnswer: -6656 + 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -234\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 8*u**2 - 8\/15*u**6 + 0*u**4 + 0*u**5 + 0*u**3 + 0 + 21*u. Differentiate f(o) wrt o.\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1652962 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 6:24 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -318\/11 + 29. Let p = -315\/8 + 39. Sort p, 2, d in decreasing order.\nAnswer: 2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1152073072 and -40\/7.\nAnswer: 8064511504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r - 1\/2*r**3 + 0 + 1\/2*r**2 - 1\/12*r**4. Give q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w - 70*w - 27*w**2 + 36*w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = 15. Let j(g) = 3*g**2 - 5. Let r(o) = o**2 - 2. Give y*r(z) + 6*j(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41761 (b) -334 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b**3 - 2894*b**2 + 927*b + 73483. Calculate g(-362).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70808 and 22712?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1635)\/504 - (-4)\/14 and 18 - 0 - (-226984)\/(-12240)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/225 and -59\/1432800.\nAnswer: 1432800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1954, -3890, -5832, -7780, -9734?\nAnswer: -11694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0185 - 0.2645. Let c = -0.019 + d. Round c to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 48.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 4*d + 3. Let b be j(-5). Let q = b - -2. What is the remainder when 18 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - 102. Let d(u) = -u + 1. Let p(r) = r + 2. Give c*d(z) - p(z).\nAnswer: 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 + 2.5. Suppose 8*s - 1872 = -8*s. Let o = s - 586\/5. Which is the second smallest value? (a) o (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8804 and 97412?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 651\/4 + 11\/44. Let g = q + -67. What is the smallest common multiple of 20 and g?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 613 - 395. Suppose 0 = -3*n - 4*u + v, -4*u = 3*n - 4*n + 62. Suppose 0*t - 3*j = t, 2*j + n = 4*t. Solve 2*c - t = c + 3*w, 0 = -w - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/30 - 3*t**4\/8 + 3*t**3\/2 + 8*t**2 + 9. What is q(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 758726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p + 4. Calculate the lowest common multiple of a(-4) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000271719 rounded to seven dps?\nAnswer: -0.0002717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {t: 1, w: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3*15\/((-450)\/12))\/(3\/(-10)). Let n = -4 + 8. Suppose -n*j = -10 + 2. Put j, 4, 3, o in increasing order.\nAnswer: o, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -37. Suppose -w*z - 39390 = 4*a, -a + 3*z + 39394 = -5*a. Let g = a + 45850. Round g to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2296 at least -11487\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (3 - 3)) + 0 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 3*j, 38*j = 33*j - 4*c - 31. Let n = -52\/3 + 56\/3. Let z = n + -19\/12. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26604, -320, 3 in ascending order.\nAnswer: -26604, -320, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -3.6, -2, 3\/8, 2\/15?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Let l = 49 - 47. Solve -3*o - 11 = -l*j, -o - 2*o + a*j - 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 11*k**2 - 18*k + 5. List the prime factors of d(-12).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12607 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 1, e: 1, y: 2, u: 7, z: 4}. What is prob of picking 2 u?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 888 - 896. Let d be 476\/272 + 14\/r. Let i = -133\/6 - -3337\/150. Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 158\/(-10) + 1\/(-5). Let q be (-24)\/v + 1\/2. Suppose 0 = -3*z - 5*a - 45, q*z + 5*a - 15 = 5*z. Is -11 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-4)\/3)\/((-16)\/18))\/(4\/2448) is divided by 437.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3051 (base 8) to base 14\nAnswer: -809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178 + -98. Let v = -51250 - -50973. Is v bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*g - 5 = 4*g, g - 5 = -w. Suppose 0 = w*f + 2*s - 6, 3*s + 4 = -s. Solve 5*a - 1 = i + i, 3*i + 13 = -f*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19455 - 19455.32884. Round q to three decimal places.\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5 + 1 - 4*v + 9*v**2 - 5. What is the tens digit of u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/15 - 6\/(-9). Let n = -7.2 - -7. Which is the nearest to x? (a) -5 (b) n (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 62449.28 weeks?\nAnswer: 37769324544000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (0 + 0))\/(-31 + 43432\/1403). Let b = -9 - -3. What are the prime factors of (-860)\/b + y\/69?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 107, 238, 421, 656, 943?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 100570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 2*f**7\/315 + f**6\/36 + 2*f**5\/45 + f**4\/36 + 4*f**2. Solve g(t) = 0 for t.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-342)\/1368*8*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/12 - 20\/(-6). Let w = 2 - i. Let z be -2 + 2*28\/40. Is z equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118, 117, 108, 85, 42, -27?\n\"Answer: -v**3 + 2*v**2 + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let d(c) = 5*c**2 - 4*c + 4. Let k(b) = 54*b**2 - 45*b + 45. Let l(w) = -45*d(w) + 4*k(w). What is l(f(o))?\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(6\/17)*g**(-25))\/((g\/g**(2\/9))\/((g\/((g*g\/g**(24\/5)*g)\/g))\/g)))**43 assuming g is positive.\nAnswer: g**(-744244\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21523 + 21527. Sort q, -25, 5, -2\/13, -4.\nAnswer: -25, -4, -2\/13, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.502803 centuries in decades?\nAnswer: 45.02803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t - 4*t + (-3 + 0 + 2)*(1 + 2*t - 1) + t + 0*t - 5*t)*(0*t - 5*t + 4*t) - 22*t**2 + 41*t**2 + 2*t**2.\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 3*u**3 - u**3)*(3*u + 0*u - 2*u) + (35*u**2 - 51*u**2 - 53*u**2)*(u**2 - 5*u**2 + 3*u**2).\nAnswer: 71*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 16000.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 + -135. Are m and -50\/111 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -71941011 + (-3 - -7 - -6). Round r to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 6. Let u be b(2). Suppose -2*y + u = -t, 2 - 4 = -y - 3*t. Let w be 2\/y + 3\/1. Put w, 2, 0 in ascending order.\nAnswer: 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -23.\nAnswer: -15\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.2. Let q = -6 + 5.85. Let b = q + 0.05. What is the second smallest value in b, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 68*c + 3 = 66*c + 27, h - 5*c + 0*c - 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, 1 p, and 1 l when four letters picked without replacement from puyclucppcprcclpr?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7830 divided by 18.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, u: 1, p: 3, q: 6, r: 2}. What is prob of picking 1 q, 1 r, and 2 f?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 - 1. Let q be u(4). Let a = 46 - 43. Put a, 0, q in increasing order.\nAnswer: q, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 5:53 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*f - 0*f. Suppose i = -j + 5, 3*j - 2*i = 1 + f. Find the third derivative of v**2 + 3 + 4 - 7 - j*v**6 wrt v.\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.568991 rounded to 1 dp?\nAnswer: -66.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {p: 3, n: 1, i: 1, u: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 68321 rounded to the nearest one thousand?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30246*0.1\nAnswer: 3024.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 9 = -39. Let d(z) = z**2 - 11*z + 10. Let q(u) = u + 3. Let w be q(7). Let b be d(w). Solve 2*c = p + 1 - 12, b = -a*p + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16049.4 - -0.901.\nAnswer: 16050.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -0.1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2\/1169 (b) 36 (c) -0.1 (d) -4\/5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/208 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/446, -0.7, -2, -66 in descending order.\nAnswer: -3\/446, -0.7, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 364 - 331. Let p(a) = -a**3 + 9*a**2 + 7*a + 2. Let f be p(10). Let h = f + w. Solve -5*r = -4*y - 6, 0*y - h*r + 8 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2. Let c(y) = y**2 + 10*y - 5. Let b(t) = -2*t**2 - 24*t + 12. Let f(o) = 5*b(o) + 12*c(o). Determine f(k(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(336) + sqrt(21) - (sqrt(252) + (sqrt(252) - -2*sqrt(252)))\/sqrt(12))\/((sqrt(175) + (sqrt(175)*2 - sqrt(175)))*5*3).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -35*y**3\/6 - 63*y + 1. Let s(a) = -a**2. Give k(s(p)).\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-11)*3 + 6 + 645876\/11011 + -64?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c**5)\/((((((c\/c**(-1\/2))\/c)\/c)\/c)\/c)\/c)**(-2\/7))**(-18\/13) assuming c is positive.\nAnswer: c**(72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2489, -5038, -7645, -10304, -13009, -15754, -18533, -21340?\nAnswer: -24169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 9. Suppose 597 = -c*r + z, -3*r - 609 = -0*z + 3*z. Let w be (-304)\/(2 + 0)*r. What is w rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c + 1. Let s(d) = -9*d + 0 - 13*d - 2 - 2 + 2*d. Let l(p) = 5*s(p) + 20*t(p). Let y(k) = k. Calculate l(v) + 10*y(v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-8))\/(42\/(-42)*3\/5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5710)\/3426*(-378)\/(-15)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1320742*o = -1320406*o - 20496 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 - -195. Let i = 241 - 80. Suppose 11*h = 37 + i. Calculate the highest common divisor of h and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21032330110 (base 4) to base 6.\nAnswer: -123514004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102\/13 or -8?\nAnswer: -102\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0. Let y be 4\/(-10) + (-36)\/10. Let p be ((-4)\/56)\/((-2)\/y). Put p, t, 0.4 in descending order.\nAnswer: 0.4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175155631768 plus -0.2?\nAnswer: -175155631768.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -406, -607, -808, -1009?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 16*s**2 - 11*s + 294. Let i be m(14). Suppose -3*n + 4*d = 2*d - i, 3*n - 5*d = 3285. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.977 to one decimal place.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/14 - (-6)\/(-21). Suppose 20 = t*c - 6. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 300 + 9. Let q = u - 305. Factor 16*k**2 + 8\/3 + 40\/3*k + 7\/6*k**q + 22\/3*k**3.\nAnswer: (k + 2)**3*(7*k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 52*p - 240. Let z be x(20). Let w(r) = 5*r + 3. What is w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 107 + 29*x)*(x**3 - 2*x + 2*x) + (-2*x - 3*x + 6*x)*(-x**3 - x**3 - x**3).\nAnswer: 26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + (-2)\/(-7). Suppose 363 = 3*x - 2*x + 3*z, -3*x + 4*z + 1037 = l. Let t = x + -1712\/5. Find the common denominator of t and -50\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192842 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166689 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: b\"What is the lth term of 170, 338, 506, 674?\n\"Answer: 168*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q**2 + 4*q + 4. Let r(v) = -22*v**2 + 3*v + 3. Determine -3*g(m) + 4*r(m).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0096338097 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4936856.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47377172303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -28*m**4 + m**3 + 889*m**2\/2 + 474. Find the second derivative of z(s) wrt s.\nAnswer: -672*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172703819 to the nearest integer?\nAnswer: 13142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*r - 20. Suppose 2*t = -4*s + 37518, -3*t - 5*s + 2*s + 56262 = 0. Let x be -32*(t + (-1 - r)). What is x rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 118*x**2 + 891*x - 2685. Let b be c(3). Calculate the highest common divisor of 4550 and b.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040406 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*d + 630, -3*d + 130 = t + 2*d. Suppose -3*f = -8*f + t. Let n = f - 7. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t + 7 = -3*s + 37*t, 6*t = 3*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d. Let r be 0 + (1 - 2) - 15. Let t = r + 28. Let j = 13 - t. Give n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26431308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41040033601 + 1?\nAnswer: 41040033602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/55, -10, -257, 91\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 35 = 119*k - 123*k, 40 = -5*k - 3*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, -22, -207, -570, -1171?\nAnswer: -2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 12*h**3 + 3*h**2 + 24*h - 9. Let f be o(6). Suppose 762*k = 767*k - f. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2028 (base 9) to base 11\nAnswer: -112a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1025, -8275, -27955, -66281, -129469, -223735, -355295, -530365?\n\"Answer: -1036*c**3 + c**2 - c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4620243*y**2 + 1943406*y + 204363 = 0.\nAnswer: -261\/1241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z - 5*z + 6*z + 199 - 199 - 13*z + (-1 - 1 + 3)*(1 - 1 + z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = 42*u - 46*u, 20 = -5*u. Suppose -3*w = 5*v - 23, 10 = 3*v - 2*w - 19. Solve -5*a + m + 23 = 0, r*a + v = a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 77*l + 670 = 39*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r**2 + 5*r + 1. Let l be q(-2). Let i = 71 - l. Suppose 16*w - i = 12*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000075531 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(-5 - (-484)\/99).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l + 9\/2*l**3 + 1\/40*l**6 - 43*l**2 + 15\/8*l**4 + 0 + 7\/20*l**5. Factor p(s).\nAnswer: 3*(s + 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.089 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24845752.\nAnswer: 2, 3105719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**3\/3 - i**2 + 2743*i - 22. Is p(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33548, 134098, 301682, 536300?\n\"Answer: 33517*i**2 - i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.01, 64, 5 in descending order.\nAnswer: 64, 5, 4, -1.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -39 * 28684\nAnswer: -1118676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 770\/(-15675)*-114*(-80)\/7\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 + 117 - (0 - 5) - -19?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = -8. Solve -3 = -d, -l*d + 6 = -h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/27)\/(t*t*t**(-1\/8)*t)*(t**3)**(-1\/4))**5 assuming t is positive.\nAnswer: t**(-3835\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68\/7 - -1142\/119. Is -1 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20291 or -20290?\nAnswer: -20290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, 18, 4, -13, -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 29741604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/3 (b) 1\/4 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6925919?\nAnswer: 7, 11, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1772 = 6*z - 6188. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -4730.\nAnswer: 2\/2365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/((-3)\/87233373). Let s = -6066936 - u. Suppose s - 65661 = 4*d. What is d rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**13*(z**(1\/9)\/z)\/z assuming z is positive.\nAnswer: z**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(25)\/sqrt(5) + -1*(sqrt(15)\/sqrt(3) + sqrt(5)))*1)**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1025 + -600. What is the highest common divisor of 34 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3825 + -3406. Calculate the remainder when 426 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170.5 + -170.1. Which is the smallest value? (a) -0.2 (b) 0.7 (c) -0.1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 306\/554161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13343 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39417*n - 5 - 2*n**2 - 39417*n)*(-n**3 + 4*n - 4*n).\nAnswer: 2*n**5 + 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 92161461 divided by -7\nAnswer: -13165923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1552 divided by 4\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 + 113. What are the prime factors of (0 + -5 + -4)*z\/3?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0013 + 3.9313. Let t = 0.07 + l. Let o = 2.85 + -3.25. Which is the biggest value? (a) t (b) 2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-45)\/2028*(-13780)\/(-3180)?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6*-2)\/(15\/(-45))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and -9473.\nAnswer: 625218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, 13, 30, 63, 118?\n\"Answer: p**3 - p**2 + 3*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 260. Suppose 5*g = 5*l + 180, 0 = 3*g - 5*l - 56 - u. Suppose 2*n = -0*n + g. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 72*d**2 + 36*d - 6. What is the smallest common multiple of 525 and o(3)?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*d - 24, 3*j - 19 = 5*d - 0. What is the smallest value in 4, 5\/2, j, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1bc5 (base 15) to base 2\nAnswer: -1011110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/5 - (-4)\/(-10). Suppose k - 2*k + i = 0. Let d(f) = f**2 + 2*f - 1. What is d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.5, 1\/5, 2\/7, -0.5, 0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -40*(-2 - 22\/4). Suppose 0 = 5*f - 295 - y. Calculate the highest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1646 - -3237. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**3*j**2 - 216*g**2*j**2 + g**2*j + 25*g*j**2 - 2*g*j - 38*j wrt g.\nAnswer: -24*g*j**2 - 432*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46553 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-4)\/12*3*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2108, -2.7, -0.3, -3, 2, -6 in increasing order.\nAnswer: -2108, -6, -3, -2.7, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) 2\/9 (c) -0.1 (d) -2136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o + 3*o)*(-3*o + 2*o + 0*o + (0*o + 2*o - o)*(-8 + 29 - 13) - 59 + 3*o + 59).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.87 in 46.536, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (540\/(-24))\/(-15) - 33\/(-2). Which is the nearest to 0? (a) 0.5 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = -141*o - 146. Sort -462, -0.4, o.\nAnswer: -462, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011101010001000 (base 2) in base 11?\nAnswer: 281340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 51*z - 299. Determine v(8).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48602.\nAnswer: 2, 19, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9864*-0.087.\nAnswer: -858.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 148. Suppose -5*n + x = -8. Let i(f) = -f + 10. What is the remainder when n is divided by i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*z - 35 - 241. What is the greatest common factor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -121658*h - 7. Let i(d) = 3*d. Calculate u(i(c)).\nAnswer: -364974*c - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 567 divided by 189\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-27)\/(-3))\/36)\/((-516)\/288).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 3 + (-1 + 1 + 1)*(-1 - 1 + 3))*(r + 5*r + 35*r).\nAnswer: 328*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1539 and 25479.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 107 + 5 = 0. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4\/(-18) + (-22)\/(-495)*11975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 + h + 5. Let u(g) = -21*g**2 + 4*g + 26. Suppose 2*r - 2*m + 2 = 0, -15*r + 4*m = -9*r. Calculate r*u(t) - 11*p(t).\nAnswer: 2*t**2 - 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 (base 14) in base 15?\nAnswer: -4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -12. Let f = 15 - s. Suppose 2*l + d = 51, f*d + 48 = 3*l - 2*l. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17) + -1))**2 + sqrt(612)*-3 + sqrt(17).\nAnswer: -19*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675216?\nAnswer: 2, 104701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = w + 94, 2*y - y = 4*w + 61. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37271983, 74543969, 111815955, 149087941, 186359927?\nAnswer: 223631913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-4 - -8) + 5. Suppose -q*w = -2*u - 5*w + 32, 3 = u - 5*w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.419 + -0.092. Let v = s + -0.027. Let q = -1.2 - -1.1. Which is the nearest to q? (a) 8 (b) v (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-44))\/(54*1\/(-1))\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2 + c + 9 - 5 - 2*c**2 - 4. Let j(u) = 2*u**2 - u + 3. What is 3*j(g) + 4*m(g)?\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -42036715, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-1))\/(-3) - -37. Let h = x - -21. What is the common denominator of -107\/88 and (50\/(-24))\/(6\/h)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 583084 + -363699. Suppose -12*o + 58523 + g = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {c: 2, q: 3, n: 2, j: 1, u: 3, g: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -205\nAnswer: 102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4453\/11967?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**6\/360 - s**5\/20 - s**4\/24 + 2*s**3\/3 - 3. Let h(r) be the third derivative of i(r). What is the units digit of h(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19489080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 11295, -2 in descending order.\nAnswer: 11295, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*n**2 - 11010*n**3 - 10338*n**3 + 21352*n**3.\nAnswer: 4*n**3 + 37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 10:12 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.06, 0.5, 28\/5, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -1\/408, 3, 4, -677?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39862931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/14 of a week in minutes?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7456104.\nAnswer: 2, 3, 34519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -25*t**3 - t**2 + 6*t + 59. Let f = 135 + -142. Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159698 divided by 79849\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -178. Let g = u + -77. Suppose -2*l - 3*l = 3*q + 14, 0 = -5*l - 4*q - 12. Sort 3, 2, g, l in descending order.\nAnswer: 3, 2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + (-21)\/(-6). Suppose k*f + 2 = 4*f. Factor -f*h**2 - 2 + h**2 + h + 2*h.\nAnswer: -(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393 and 591858?\nAnswer: 591858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-14)\/8)*(294\/(-612))\/(-7)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 - 134 + 332 - 2*t to the form f + x*t and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - s + 6, -3*s - 8 = 2*t - 2*s. Let u be 33174\/(-26) + 2 + -4. Let w = -1279 - u. Do t and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 29. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5\/5 - 66*o**4\/5 + 363*o**3\/5.\nAnswer: 3*o**3*(o - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 89964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1300) + 2)**2 + ((sqrt(13) - (sqrt(13) + 4)) + sqrt(13) + -5)**2.\nAnswer: 22*sqrt(13) + 1395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*g + 7. Let i = -114303 + 114300. Sort i, g, 10, 3 in descending order.\nAnswer: 10, 3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42802701 rounded to the nearest one hundred thousand?\nAnswer: 42800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, o: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, m: 2, l: 1, h: 3, w: 4}. Give prob of sequence el.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-435)\/5 - 6\/2. Let m = -453\/5 - r. Is m <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1892\/(-215))\/(4\/(-1290))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.004 + -0.13. Let q = -0.06 + w. What is q rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45326 times 2089\nAnswer: 94686014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 16 + 4*d**2 + 60 - 24.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4263*x**2. Let j(z) = -12*z + 16*z - 16*z + 10*z. Give w(j(v)).\nAnswer: -17052*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**4 - 8*x**3 + 29724*x**2 + 3*x - 5858733 wrt x?\nAnswer: 4*x**3 - 24*x**2 + 59448*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-20)\/(-8))\/((-2)\/4). Suppose 9*g - 11*g = -u - 5, 0 = 3*g - o. Solve 4*a = -3*z - 28, -3*z + 1 = -u*a - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -6686125.5.\nAnswer: 668612.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 12. Let c be u(-9). What is the second derivative of 9*g**5 - 5*g**2 - c*g**5 - 182*g - g**5 + 7*g**5 - g**2 wrt g?\nAnswer: 240*g**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31251*r - 4 - 31276*r - 8 + 12 - r**3 + 62505*r.\nAnswer: -r**3 - 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((-126735)\/2695 + 36).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2155 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189512365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/(6 + -34 + 25). Solve -t - 22 = 4*m, p = -2*t - 6*m + 11*m + 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4803783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33384418 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2. Let b(d) = -6016*d. What is b(o(q))?\nAnswer: 42112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 20) + (-1 - -2) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let s(t) be the first derivative of -t**3\/3 - 43*t**2 + 116. Calculate s(o(m)).\nAnswer: -4*m**2 - 172*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7419104 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x**2 - x. Suppose -2*h + 4*p - 20 = 0, -20 = -12*h + 10*h - 4*p. Let a(o) = h*o + 2*o + 17 - 65 + 48. Calculate a(b(d)).\nAnswer: 28*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*c - 1 + 8 = 0, -5*c = -u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -16.58 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -3. Suppose -5*a - g = 13, -5*g - 20 + 1 = 2*a. Let o be 45\/20 + ((-54)\/12)\/3. What is the closest to o in a, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*108872.7.\nAnswer: 435490.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.008662211.\nAnswer: 0.0017324422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25\/437 or -1?\nAnswer: -25\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/225)\/(416\/(-1040)))\/((-4)\/30)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 3\/7, -2\/17 in increasing order.\nAnswer: -122, -2\/17, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 632063297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -76. Suppose 2*w + i*n = 3*n + 12, 5*n - 8 = w. Suppose -w*r + 156 = 5*t, -5*t - 184 = 5*r - 8*r. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168973?\nAnswer: 7, 101, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let n(h) = 25836*h**2. What is n(k(l))?\nAnswer: 232524*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 230 = 110 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15314511 rounded to three decimal places?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.3 or -59448?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85495 - 85495 + 721454*t - 16101*t.\nAnswer: 705353*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3682549 and 44532?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a8 (base 14) in base 11?\nAnswer: -2684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 18*l**2 + 19*l**2 - 40*l**2 + 4. Let s be y(0). Solve -f = -s*t + 18, 0*t = -3*f - 4*t + 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115382?\nAnswer: 2, 31, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388106.9 years in centuries?\nAnswer: 3881.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = -10. Let l = 8 - z. What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 10. Suppose -38 = -3*q + w, 2*w - 36 = -2*q - 0*w. Suppose 0 = -2*k + q - 44. List the prime factors of p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57328 and 2?\nAnswer: 57328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3774, 11, 25 in ascending order.\nAnswer: -3774, 5, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2\/21 (b) 0.1 (c) -0.9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + (-4 - -9) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(77)\/(sqrt(11)*-3) + 5.\nAnswer: -sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-702)\/567*(-3702)\/(-8021)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - 1. Let q = 50 + -49.73. Let s = q - -0.13. Which is the smallest value? (a) 2\/13 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -278 + 569. Let s = -291 + o. Solve s = 5*i + 3*g + 12, -5*i - 3 = -2*g + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*x + 684 + 601, 0 = -3*o + 2*x + 769. Calculate the remainder when o is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-35 + 62 - 31)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28356 by -6.\nAnswer: -4726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 14*y**2 - 18*y - 32. Give u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w - 37 - 36 + 73 to the form g*w + z and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068741672 a multiple of 2456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -25. Let i = 14 - w. Let v = i + -5.7. What is the smallest value in -5, -8, v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/2 - -6. Let g = 32064 - 32066. Let f = 0.1 + -0.1. Which is the closest to i? (a) f (b) -1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -217 (b) 0.021 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 + 0*i**2 - 5*i**2)*(-2*i**2 + 2*i**2 + i**2)*(3*i - 6*i + 0*i)*(2 - 1 + 1).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 1\/((-1)\/723996). What is a rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -10371?\nAnswer: -8\/10371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 20768222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1888 + 29*c - 1888)*(-2 + 5 - 2) + 2*c + 2*c + 2*c.\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {z: 3, i: 1, n: 3, x: 2, u: 3, f: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2872 + 879. Let r = v + 1992.7421. Let k = r - -0.248. What is k rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.51\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Suppose -5 = -j - 0. Suppose 2*a = j*a. Let g(p) = p**2 + 0*p + a*p. Calculate g(m(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -30?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637701904?\nAnswer: 2, 227356369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 1084937783.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-25))\/(22\/(-440)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:40 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3135 and 41360?\nAnswer: 2357520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 61 + 46. What is the second derivative of -44*y**2 - 11*y + 20*y - i*y - 11*y + 1 wrt y?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.152, 219, 3\/2 in decreasing order.\nAnswer: 219, 3, 3\/2, -1.152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5542, 4, -3, -1 in descending order.\nAnswer: 4, 1.5542, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 32043*y + 32043*y.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19304 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -194, -301, -424, -569, -742?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 729 and 1734?\nAnswer: 421362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 36 = 5*w. What is the greatest common factor of w and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1800217 seconds to nanoseconds.\nAnswer: 180021700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/2)\/1*(-4)\/6. Let w = 2142 - 2141.6. Which is the second smallest value? (a) v (b) w (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5493 = 3*v, -5*v - f + 5298 + 3877 = 0. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 = -13. Let h = -0.8 - 4.2. Let l be 16\/572 + 14\/91. Which is the third biggest value? (a) x (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-44)\/(-33))\/(2\/3). Let w be 23*(-2 + 1)\/(-1). Suppose 3*z + 8 = w. Solve z*j = -0*j + y*a - 6, 4*a - 12 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1870\/828 + 6\/9. Let c = -158\/23 + v. What is the common denominator of c and 87\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 22*z = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*-6*(sqrt(192) + (sqrt(192) + (1*sqrt(192) - sqrt(192)) + sqrt(192))**2) - (-1 + (3 + sqrt(192))**2 + 0)) + 5.\nAnswer: 48*sqrt(3) + 9018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*y = 17, 3*l + 10 = -5*y - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 1) + 276\/(-6). Let j = u + 394\/9. Let y be 6\/(36\/6)*(-20)\/(-4). Which is the closest to 0.2? (a) -2\/17 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 - 100*o**4 + 11876*o**3 + 12068*o**2 - 11872*o - 11968 = 0. Calculate o.\nAnswer: -68, -1, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 839.5 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11*i + 30. Let h(c) = -24*c + 50. Let w(u) = -5*d(u) + 3*h(u). Let g(s) = 218*s. Give w(g(m)).\nAnswer: -3706*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881628264 to the power of 1\/2, to the nearest integer?\nAnswer: 53681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10863263.\nAnswer: 977, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-35))\/(17\/(-1428))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 785*o**2\/2 - 3127*o - 4686.\nAnswer: -(o + 2)*(o + 6)*(o + 1562)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 5. Let k be x(2). Factor -1\/3 - 1\/3*z + 1\/3*z**k + 1\/3*z**2.\nAnswer: (z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 7*y - 16. Let i be v(2). Let d be ((-2)\/i)\/(539\/(-16758)). Is 1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3397 (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288.7 + -292. Which is the biggest value? (a) 0.3 (b) -2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9461*m**2 - 1298*m - 1.\nAnswer: 18922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-26)\/(-3 + 6\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 5, -0.3, -0.5.\nAnswer: -0.5, -0.3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 594334782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (512\/160)\/((-2)\/5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 9*l**2 + 3*l - 22. Let d be m(9). Suppose -q - s = 15, 0*q - d*q + 5*s = 65. Which is smaller: q or -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.009, -6, -1, -3\/4, 0.6, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 5*n. Let y = -0.08 - -1.88. Let o = y - 2. What is the third smallest value in n, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7242 - 1541. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 152, 315, 550, 863, 1260, 1747, 2330?\n\"Answer: i**3 + 27*i**2 + 9*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 421.99555 + -422. What is u rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose 2*x + 3*r = -6, 34 - 12 = o*x - 4*r. Which is smaller: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 5:14 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose 5*d = d - c*u + 83, 2*d = 3*u + 37. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/15)\/((-2)\/1192). Let g = 159 - s. Let j = g + 13\/30. Sort 0.2, j, -1.\nAnswer: -1, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -112, -110?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*h - 6*h - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 102, 137?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - p - 2*p)*(-2 - 17*p**4 + 0 + 16*p**4) - 3*p**5 - 5*p**2 + 5*p**2.\nAnswer: -5*p**5 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9 + 6. Let z(y) = 12*y + 168. Let u be z(-14). Suppose u = -2*f - v + 11, h - 48 = -f. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -344041*d**3*u**3 + d**3 - d + 30204 with respect to u.\nAnswer: -1032123*d**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3 - 6*j**2 + 242*j + 726 = 0.\nAnswer: -11, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 26*n**3\/3 + n**2\/2 + 2*n + 2. Let c be u(2). Factor -1 + 26*k + 16*k + 30*k + 17 + 54*k**3 + c*k**2.\nAnswer: 2*(3*k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -5. Let x = 2 - 3. Let z = -3 - x. Which is the biggest value? (a) z (b) 2\/17 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 43*o**2 + 43*o - 52. Calculate k(17).\nAnswer: 2991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*y**4 + 128*y**2 + 1 wrt y?\nAnswer: -1584*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + z**2 - 5 - 27 - 127*z**3 + z**2 in the form r + a*z**3 + p*z**2 + c*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-204066)\/(-144) + -2 + 15\/8. Suppose 6*c = v + 149. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-39))\/((-154)\/(-21) - 8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10939, 21883, 32813, 43723, 54607, 65459?\n\"Answer: -a**3 - a**2 + 10954*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s = -56. Let m = 3 + -3. Suppose -5*g + s + 11 = m. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(21052\/760 + -33)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = 6. Let r(v) = -7*v**t - 3*v - v**3 + 9 - 3*v**2 + 4*v. Let f be r(-10). Which is the nearest to -2\/7? (a) 5 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from eqeekvqvkhhvqheheheh.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 368*o**2 + 399*o - 69*o + 115*o**2 + 235*o wrt o?\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*t**2*w**2 - 33*t**2 - 32*t*w**2 + 9*t*w wrt w?\nAnswer: -14*t**2 - 64*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 542.5 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 126236.52 months in centuries?\nAnswer: 105.1971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 396.8 + -396.8. What is the third biggest value in -0.7, f, -0.2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (-1 - 1) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 889 + -650. List the prime factors of c.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1817 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 + 7*t**4\/12 + 5*t**3\/3 - 5*t**2. Let x be a(15). Sort x, 4, -10, -1 in ascending order.\nAnswer: -10, x, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-3096)\/(-351) - 1\/(-3))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(2\/51) assuming k is positive.\nAnswer: k**(2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8241084 and 253667?\nAnswer: 337884444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*q - 27 = -28*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/9))\/p)\/p)\/p*p*p**(1\/4)*p*p*p*p\/p**6*p*p*p\/(p\/(p*p**(-2\/5)*p*p)*p*p)*p*p*p**5*p**(3\/7)*p**(-5)*p*p**2 assuming p is positive.\nAnswer: p**(6931\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/21*2 - 3335\/(-1015).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19b73 (base 14) in base 9?\nAnswer: -108602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -393, 0.4, 8\/7, 1, 50\/47?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(6144\/(-704))*-6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/5)*p**1)**(-1\/34)*p**(3\/8)\/(p*p**(-2\/11))*(p**(-1\/4)*p)**(-4\/3) assuming p is positive.\nAnswer: p**(-11191\/7480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1235*o - 26627 - 19068 = 0 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 47*b = -355 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csc when three letters picked without replacement from sdfcdcfdcdodhcdfffd.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1532149 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 6206*g\/5 - 2027144\/5.\nAnswer: -2*(g + 371)*(g + 2732)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19350 = -26*n + 4882. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/96 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 - -202. What is the third biggest value in q, -2, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1136*y + 25168 + 960 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -162439?\nAnswer: -81219.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2976242 minutes to microseconds.\nAnswer: 17857452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 39*f**2 + 76*f - 74. Let c be z(37). Let q(k) be the second derivative of 0 + c*k**4 + 1\/2*k**3 + 8*k - k**2 - 1\/20*k**5. Factor q(j).\nAnswer: -(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754065660 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10355239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10331 + 22101?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/18)\/((-3)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4944, 4118, 2756, 870, -1528, -4426?\n\"Answer: 2*k**3 - 280*k**2 + 5222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (-56 + 53)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 26*v**2 - 54*v - 176. Let l be u(7). What is the greatest common divisor of 750 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*u + 61*a**2*u + 32*a*u + 17*a wrt a?\nAnswer: -12*a*u + 122*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 181471 from 116701.\nAnswer: -64770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 1594*a + 238004.\nAnswer: 2*(a - 598)*(a - 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1235.577 - -1235. What is a rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -249311.\nAnswer: -249310.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2702 and 1725227.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u**2 - 12*u - 133. Let v(s) = -19*s**2 - 17*s - 197. Calculate -9*v(w) + 13*y(w).\nAnswer: 2*w**2 - 3*w + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 21 - 17. Sort -2, -5, 2, f in descending order.\nAnswer: 2, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 45*j. Let m(k) = -1060 + 1060 - k. What is m(r(h))?\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7618 to the nearest one hundred.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 3 + 10 + 8 - o + 44 in the form l + w*o and give l.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76, -68, -48, -10, 52, 144, 272, 442?\n\"Answer: x**3 + x - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let t = 3.77 + -3.8. Let x = -0.37 + t. Sort 5, x, i in ascending order.\nAnswer: x, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.047 (b) -4 (c) -60 (d) -37\/6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3564*r**3 - r**2 + r**2.\nAnswer: 3564*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-158)\/22 + (215 - 208).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 64. Let y(x) = 3*x - 36. Let d(z) = -4*f(z) + 7*y(z). Let v = 18 + -11. Let h = 12 - v. Calculate d(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14883\/158 + -4111513\/1422. Let l = s + 2981. Let k = -55681\/6924 + -24\/577. Find the common denominator of k and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 0 - 5\/3*n**4 + 2\/3*n + 3*n**3 + 1\/3*n**5 - 7\/3*n**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 17. Suppose 3*r - 2*r**g + 4 - 8 + 3*r = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 0*p + 2*p - 26, k - 2*p = -11. Let o be (-2)\/k + 198\/55. Suppose -20 = -8*t + o*t. Solve -2 = -j - t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120025 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -33*q - 195. Let k be a(-6). Solve 0 = -w - 0*w + k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = 4*n + 150. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1944 and -89\/20.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/24)\/(-5 - (-5169)\/1032). Calculate the highest common factor of 1591 and i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442742588?\nAnswer: 2, 3, 7, 5725169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:00 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 2*d**3 - d**3)*(-21*d + 21*d - 3*d**2).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 2*j - 34. Suppose -4*z - 12 = 0, 5*a + 8 = 4*z - 20. Let q be p(a). Solve 0*h - b = 2*h - 1, 0 = -2*h + 2*b - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 2 - 2 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, v: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/16687 and 35\/251822.\nAnswer: 2770042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -5, -2, 18\/5, -4\/7, -0.09, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -5*-2*sqrt(112) - sqrt(112)*2*-6)\/(6*(-1*sqrt(576) - sqrt(4))))**2.\nAnswer: 3703\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101247 less than 2.4?\nAnswer: 101249.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 2, 54, 5?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2228*m + n = 2225*m - 9, -5*m = 4*n + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33305310 divided by -1465.\nAnswer: 22734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 29 and -0.0667199 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-100)\/(-8)*-1*2\/(-5))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 - -184. Find the common denominator of -1\/10 and -8 - g - 14*404\/(-2896).\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 576\/15 - (-6)\/(-15). Suppose y*t - 35458 = -6578. List the prime factors of t.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 11*h**2 - 17*h + 12. Let p be i(-9). Solve -2 = -p*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 2, y: 2}. What is prob of picking 1 y and 1 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 10*b**2 - 21*b + 58. Is p(-23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - u = 3345 - 3330, -2*u + 10 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2. Suppose 3*o - 6 = 0, u = o + 5 - 0. Let n(r) = 0*r - u*r + 16*r. What is h(n(s))?\nAnswer: 486*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 11:20 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3\/5 + 422*m**2\/5 - 8031*m + 38070 = 0.\nAnswer: 5, 135, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 571\/585 + 176\/65. Let i = 86\/39 + x. Calculate the common denominator of i and 46\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 11*w - 4 = 4*v, 5*w + 5*v = 0. Suppose 0 = -5*h + 25, 11 = 3*b - w*h + 2*h. Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 352209483 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -236 divided by -236\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 2545*n - 100776.\nAnswer: (n - 39)*(n + 2584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u**3 - 312*u**3 - 158*u**3.\nAnswer: -423*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -9, 743, 966, 3 in increasing order.\nAnswer: -9, -6, -1, 3, 743, 966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.05 (c) -2839 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Suppose 3*s + d - 32 = 0. Suppose -s = -w - 2*w. Solve w*j + 2*h = 6*j - 7, j + 15 = 5*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*l**2 - 481*l**2 - 604*l**2.\nAnswer: -1258*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967909?\nAnswer: 23, 42083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 8 - 0. Let l be (w\/(-6))\/((-2)\/(-3)). Let o = 0.5 + -0.6. Which is the nearest to l? (a) 1 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/((-378)\/15))\/(35\/252).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i\/(i**0*i))\/i))**(3\/13)\/(i**(-6\/7)\/((i**(1\/5)\/i)\/i))*((i\/i**(-4))\/i)\/(i*(i*(i*i*i**9\/i*i)\/i)\/i)*(i*i\/i**(-1\/2)*i)**(-29) assuming i is positive.\nAnswer: i**(-99383\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501 smaller than 6.925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -11 - 7 - (-5 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5\/7 + 30*m**4\/7 - 144*m**3\/7 + 216*m**2\/7.\nAnswer: -2*m**2*(m - 6)**2*(m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, 3.9, -0.3 in descending order.\nAnswer: 3.9, 0.4, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102314, 205106, 307888, 410654, 513398, 616114, 718796, 821438?\nAnswer: 924034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 20*s**2 + 57*s + 29. Is 31 a factor of h(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -3*z + 4*r, -7*z - 28195*r = -0*z - 28199*r - 81 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 + 31 = -5*d. Is 40 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = 15. Let p be ((-12)\/t)\/(3\/21) + -1. Let r = p - -171\/4. Put r, -5, 3 in ascending order.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59321191*j**3 - 45865024*j wrt j?\nAnswer: -355927146*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1*2*(90\/12 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264612 - -46?\nAnswer: 264661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20231688 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14108.\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by -49\nAnswer: -67\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.07 (c) -498 (d) 2\/13 (e) 0.4 (f) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*s + 4 - 66, 3*s = 4*r + 46. Let m = s + -7. Suppose m*v - 20 = -2*l, 5*l + 4*v = -0*l + 43. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 10, 78\/7, 3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.5 times -0.5?\nAnswer: -36.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-10\/3)\/r)*r*r)\/(r*r**(-10)\/r*r) assuming r is positive.\nAnswer: r**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -18. Let i(p) = -p - 2. Let l(g) = g + 1. Let d(y) = 4*i(y) + 5*l(y). Let c(m) = 2*m - 5. Calculate o*d(h) + 6*c(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**4 - p**3 - 5*p**2 - 3*p + 4. Let k(t) = -9*t**4 + 2*t**3 + 9*t**2 + 5*t - 7. Let f be 4 + (1 - 3) - 6. Let h(i) = f*k(i) - 7*q(i). Factor h(l).\nAnswer: l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: b\"What is the hth term of -4046, -4044, -4042, -4040?\n\"Answer: 2*h - 4048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -c + 2172, -4*g + 5*c + 1285 = -887. Suppose 20*k - g = -23. Solve 20*j = k*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/7, -3, -4, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38786 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {w: 1, u: 1, j: 1, l: 1, i: 2, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249130284 and 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c61a4 - 2?\nAnswer: c61a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)*z*z**(-2\/5)*z**2*z*(z*z**11*z*z)\/z*z*z)**(3\/23) assuming z is positive.\nAnswer: z**(144\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2195 - 1304. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-260)\/(-14) - (-12)\/28. Suppose -16*r = -d*r + 132. Is 44 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48901179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*i - 54 - 26 = 0, z - 10 = -i. Suppose -18 = 4*h - z*h. Suppose -g - 5 = -6*g. What is the closest to g in h, -2\/7, 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421190 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -24. Suppose r + 5 = m*r. What is the third derivative of 11*l**5 - 7*l**5 - 11*l**2 - 7*l**r + l**2 wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2350, -4358, -6366, -8374, -10382?\n\"Answer: -2008*f - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**8\/1512 - 31*i**7\/945 + 17*i**6\/36 - 5*i**5\/6 - 5*i**2 - 12*i. Determine z, given that m(z) = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561486044 to the power of 1\/3, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5726714 is divided by 1280?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2\/5, 1, 83 in ascending order.\nAnswer: -1\/5, 2\/5, 1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 885, -0.1, 1\/2, -1\/4 in increasing order.\nAnswer: -1\/4, -0.1, 1\/2, 885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5315?\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + -167. Is 3 - 3 - (g + 1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 64 = -6*k. Let x be 0*3\/k - -5. Put -4, x, -2 in decreasing order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.4548 and 596274.4.\nAnswer: 596271.9452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.376 + -0.124. Which is the fourth biggest value? (a) -3 (b) q (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -48. Suppose 0*u + o = -u - 4*a, 3 = u - 5*a. Let l = 201 - u. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -15. Suppose 0 = 12*y - j*y + 20. What is the second smallest value in 3, y, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/4 + 1)\/(633\/422)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8 (b) -87 (c) 0.3 (d) 16 (e) 0.2 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 0.1 (c) -1\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 25*p**2 - p - 1. Let f be l(-1). What is the greatest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*n**2 - 894*n**2 + 887*n**2 - 2*n.\nAnswer: -367*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -74220.13 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 6*v**2 - 3*v + 8. Suppose 3*o + 3*t = -15, o + 44 = -3*o + 2*t. Let q be 27\/o + (-3 - 0). What is the units digit of g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/4 + 63*q**4\/4 + 625*q**3\/4 - 71499*q**2\/4 + 44415*q + 1506600 = 0. Calculate q.\nAnswer: -31, -8, 12, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 3*h - h to b + f*h and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 5*l. Suppose -l*u + u + 3*t = -19, 3*t = -2*u + 1. Put -5, u, 0 in descending order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -6, -1, -29, 0, -21 in decreasing order.\nAnswer: 17, 0, -1, -6, -21, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -10. Let k(a) = -a**2 - 1. Let l be k(i). Sort 0.4, l, 3 in descending order.\nAnswer: 3, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 4*i\/3 + 32.\nAnswer: -2*(i - 8)*(i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8*x**3 + 11*x**3 - 3*x**2 + 5)*(-1 + 1 + x).\nAnswer: 3*x**4 - 3*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11043867?\nAnswer: 3, 29, 61, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 + 0 = 0. Suppose -7*k - 400 = -17*k. Let j be (8\/(-6))\/(k\/(-32)). Which is greater: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -302 + 1213. What are the prime factors of b?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c. Let b(s) = s + 1. Let m(z) = 5 + 18*z + 0*z - 6*z - 8*z + 32*z**2. Let w(o) = 5*b(o) - m(o). Calculate w(r(f)).\nAnswer: -128*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmrrrrrrrm. What is prob of sequence mmm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4558, 9115, 13672, 18229?\n\"Answer: 4557*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(160) + sqrt(160) + 1*sqrt(160)*-1)\/(sqrt(20) - (-2*sqrt(40))\/sqrt(2)))**2.\nAnswer: 512\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m. Let n(c) = 2165892*c**2. Determine b(n(v)).\nAnswer: -6497676*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-604)\/(-1057))\/(8\/434).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -4*i + 2*i. Let f(c) = c**2 + 8*c - 17. Let x be f(-14). Let o = i - x. Calculate the highest common factor of 81 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 815883\/3 - (94 + -99) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 5*k - 5. Suppose -3*o + 2*z = 27, o + 7 + 2 = -3*z. What is s(o)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1788*n + 825*n - n**2 + 963*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {e: 1, n: 1, q: 2, w: 1, p: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4*d - 9)*(-325317*d + 0 + 325252*d + 0).\nAnswer: 260*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10732743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 416*x**3 + 3*x**2 - 3*x - 4. Let o(c) = c**2 - 7*c - 2. Let t be o(7). Let l be -4 - (t + 1 + 0). Let k be m(l). Round k to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-10)\/2))\/(1\/((-5)\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 1. Let y(d) = -10*d**2 + 3*d + 4. Give -3*x(j) - y(j).\nAnswer: 10*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 3*x**4\/8 - x**3\/3 - 2*x**2. What is the smallest common multiple of 22 and r(2)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -y - 2 + 8, -4*y = 5*g - 27. Suppose 3*v - 3*a = 5*v + g, 4*v + a = 9. Factor -15*i - 18*i**2 - 9\/2 - 3\/2*i**4 - 9*i**v.\nAnswer: -3*(i + 1)**3*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 202. What is the remainder when v is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -340 + 339. Which is the closest to 0.1? (a) -0.5 (b) w (c) -1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 1528*h + 25688. Calculate g(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65024112085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37355214 - -4?\nAnswer: 37355218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1070.73 + -1062. Round k to one dp.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n. Let g(l) = -102*l**3 + 3*l**2 + 3*l - 2. Determine -g(x) - 3*v(x).\nAnswer: 105*x**3 - 3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00130096181 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4 - (266\/(-8))\/7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -7, 56?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 40*c + 14. Let o be h(20). Suppose 6*r - o = -2. Suppose 0 = 2*y - r*j, 2*j = -y + j + 10. Solve 7 = 4*s - 5*m - y, -3*m = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:36 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, 1, 9 in decreasing order.\nAnswer: 218, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/4 - h**3\/3 - h**2\/2 - 6. Let u be x(0). Find the second derivative of 2*b**2 + 6*b + 4*b**2 + 0*b**2 + u*b**2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (591 - 1845 + 383)*(r - 3*r + r)*(-5 + 1 + 2).\nAnswer: -1742*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - ((-16)\/(-4) + 0). Calculate the highest common factor of 8 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1358771 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279237.\nAnswer: 23, 55619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 7*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -19*y**2 - 7*y - 8. Let f(c) = 19*c**2 + 6*c + 7. Let w(b) = 7*f(b) + 6*q(b). What are the prime factors of w(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 78*v**2 + 42*v - 20*v + 5*v**4 + 57*v**2 + 45*v**3 + 113*v = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2069780 + -16500967\/8. Let z = s - 7147. What is the common denominator of -65\/16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 23. Let h be b(16). What are the prime factors of (h\/4)\/((-2)\/16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*f**3*x - 3*f**3 - 2*f**2*x**2 + 3548*x**2 wrt f.\nAnswer: 27*f**2*x - 9*f**2 - 4*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-4 + 18)) + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-246)\/(-4)*669\/1115*15\/9*-2?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = -v - 0*c, 93 = -5*v + 4*c. Let m be ((-75)\/v + -3)*(14 + 0). Solve 0*n - m = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -18*x - 2*i + 778, 4*x - 1034 = -2*i. What is the greatest common divisor of 640 and x?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5 + 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 17. Let y = -4 - d. Find the third derivative of -4*x**5 - y*x**5 + 2*x**5 + 0*x**5 + x**2 wrt x.\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2 + 1961472892*u + 480921988256355458 = 0.\nAnswer: -490368223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**10)**28*s*s**(-6)*s**(-3)*s*s**2*s**(-1\/2) assuming s is positive.\nAnswer: s**(-571\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*z + 22, -z + 3*z = y + 7. Suppose y*k - 110 = 2*p, 3*p + 86 + 79 = 3*k. List the prime factors of p\/(-3) - (-10)\/15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2133\/4 - 57775\/108. What is the common denominator of n and 32\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2676 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27209 (base 10) to base 3\nAnswer: -1101022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvvvgvggg. What is prob of sequence ggv?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 4*h**2 + 5*h + 3. What is d(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 11. Let q be l(-4). What is the second derivative of 10*o + 8*o - 15*o**q + 4*o - 5*o**5 wrt o?\nAnswer: -400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 462 - 457. Solve -b = 3*b + v + 5, -b - 6 = c*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69353950 to the nearest 1000000.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 174*a**2 - 3846*a - 64. What is j(26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from eenn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 97667027684.2 and 3.\nAnswer: 97667027687.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d**2 + 2*d - 1. Let z be v(2). Suppose -5*i - 16 = z*c, 2 = i + 4*c - 5. Let s = i - -7. Solve -s - 8 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 2. Let r(x) = -2*x + 6. Give 3*n(a) + r(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*q - 102*q = 587100. List the prime factors of q.\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/251041 or 0?\nAnswer: -8\/251041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0 - 4. Suppose h*i + 0*j - 11 = -j, -i = -5*j. Solve -i*f + v = 22, -3*f - 8 = -2*v + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*s = 10, -3*s - 12 = -4*j - j. Suppose j*h = 10 + 5. Suppose 4*t - 135 + 15 = 0. Solve -t = 2*k + h*y - y, -5*k = -y + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 27*a**2 - 178*a - 10. Let z be d(7). Let i = 6 - -23. Suppose -i = -k + z. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2.4, 1\/3, 0.2, -2\/85, 1\/6 in ascending order.\nAnswer: -3, -2.4, -2\/85, 1\/6, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(88) - (sqrt(88) - (sqrt(88) - (-1*sqrt(88) + sqrt(88))*1)))\/(2*(-1*sqrt(120)\/sqrt(3))\/sqrt(5)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(3 + sqrt(1008)*-1 + 2) + ((-2*sqrt(1008))**2 + -1 - (3 + -2*sqrt(1008)))*5).\nAnswer: -20160 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408943, -408878, -408815, -408748, -408671, -408578?\nAnswer: -408463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 3742*g + 3500641.\nAnswer: (g + 1871)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 58. Suppose -16797 = -23*l - s*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 take away 471939?\nAnswer: -472132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 31*f**2 + 40*f - 49. What is the thousands digit of k(34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 23115 = 5*j, -15391 = -11*o + 13*o - 3*j. Round o to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 228*l**2 + 946*l + 249. Give b(-118).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(-11\/2)*(z\/(z\/((z\/(z\/((z**(-13)*z)\/z)*z))\/z)))\/z*z**(1\/4))**(-5\/12) assuming z is positive.\nAnswer: z**(271\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 18*u**2 + 22*u + 90. Let g be h(-17). Suppose 5 = v, -g*l - 3*v + 18 + 897 = 0. Is 178 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/6)*i)**(-10\/13))**(-9) assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 1061 - 1043. What is the second derivative of -43*v**4 - 18 - 3 - 12 + g*v + 297*v**4 + 0 wrt v?\nAnswer: 3048*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvzv when four letters picked without replacement from {z: 9, v: 5}?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.052733 or -0.08?\nAnswer: 0.052733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*i + 786, -3*q + 3*i + 2*i = -579. Does 66 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/22 (b) -2 (c) -6\/7 (d) 46 (e) 1 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684238 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 + 14*m - 4. Let r be q(-2). Suppose -3*j - 3*t = 15, -3*j + 2*t + t - 27 = 0. Let p = j - -10. Solve r = 5*s - p*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(sqrt(68)*-1)**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*z + 123, 4*z = l + 7678 - 7521 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wggbkybyybkway. Give prob of sequence ygw.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23263293 - 66242270. Let d = 5953748 - c. Let l = 34232725 - d. What is l rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3125.81g?\nAnswer: 3.12581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) 841 (c) -2 (d) 2 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/y)\/y**10)\/(y**(-1\/6)*y*y\/y**(-2)*y) assuming y is positive.\nAnswer: y**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**6\/30 + 169*j**5\/5 + 83*j**4\/6 - j**2\/2 - 2*j + 546. Find the third derivative of s(z) wrt z.\nAnswer: 24*z + 4056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (54 - (27 - -38))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpq when three letters picked without replacement from opoqoppppoqpopp?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 1953796?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5020)\/(-3765) + 28\/(-30). Let x = -6\/17 + -21\/85. Let v = 1 - 1. Which is the nearest to p? (a) x (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 4\/7, -1704\/415 in decreasing order.\nAnswer: 4\/7, -1.3, -1704\/415","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 67*l + 934. Give i(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2004*m - 83. Is f(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*u - 69 = 286*u. What is the nearest to -0.11 in u, -1\/4, -0.35, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Suppose -2*r = 1 - 7, -4*d = h*r - 27. Solve 2*b + 4 = 5*q, 0 = 5*b - d*q - 6 - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 123. Let n = -56.1 - p. Which is the nearest to 0.1? (a) n (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250854241*y**2 + 125427146*y**2 + 125427092*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/120 + f**5\/10 - 3*f**4\/8 + 2*f**3\/3 - 2*f**2. Let a be p(4). Let m = -12\/13 - -230\/221. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 times 551?\nAnswer: 240787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 290 + 39 + 49 = 0. Let c = -3 - -11. Calculate the highest common divisor of i and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 92721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - b + 14 = 0, -2*i - 2 = 5*b + 12. Let r(n) = n**2 - 12*n - 45. What is the units digit of r(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250227020.\nAnswer: 2, 3, 5, 7, 2976731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times 2825919?\nAnswer: 5086654.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzaazaaaaaaazzaazz. Give prob of picking 1 z and 1 a.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 84521 = -5699. What are the prime factors of o?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*n**3*x**2 - 2*n**3 + n**2*x**2 - 52595*n*x**2 wrt n?\nAnswer: -702*n*x**2 - 12*n + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 18 + 2)*(7*w + 2*w + 0*w) to x + b*w and give b.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.97 and -0.05.\nAnswer: -0.0485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 - 85*x**2 - 75*x - 35. Let m(y) = -2*y**3 - 28*y**2 - 26*y - 12. Let u(h) = -10*m(h) + 3*o(h). Find f such that u(f) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163008926?\nAnswer: 2, 81504463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5972443 - 4?\nAnswer: 5972439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -8, 0.2, -1\/696, -282?\nAnswer: -1\/696","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, 4, 5, -63 in increasing order.\nAnswer: -63, -3, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2 + -2)\/(-1). Let f be 7\/(-15) + 114\/(-95). What is the closest to a in 5, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 171825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 4*c**2 + 4*c**2 + (5*c - c - 3*c)*(0*c - 4*c + 2*c))*(0 - 4 + 2).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472261 is divided by 472136?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-11)*660\/(-40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 4, e: 15}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, p: 6}. Give prob of picking 4 i.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*n - 442*n + 188*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.167368 - 0.107368. Let u = -26 + 105\/4. Which is the smallest value? (a) u (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 2*t + 2. Let k be v(0). Let n be k*1*(-36)\/(-18). Suppose n*x - 108 = 248. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 46466, 5, 2, 1, 7 in decreasing order.\nAnswer: 46466, 7, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 225*q**2\/2 - q + 2. Let o be g(-1). Let u = o - -2484\/11. What is the third biggest value in -3, -2, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, s: 18}. Give prob of picking 2 n and 2 s.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/63)\/(207\/4347)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -33 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2308*v - 26 + 28 + 18 - 20 to the form y*v + c and give y.\nAnswer: 2308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2 - 1123*z\/3 - 250 = 0.\nAnswer: -2\/3, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 131 - 153. What are the prime factors of 1 - 1 - t - (-635 + 3)?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -5\/39 in ascending order.\nAnswer: -0.4, -5\/39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 85. Let v = z + 1. Is 8 a factor of (-1 - 0) + v - (-5 - 22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*m - 75, -4*m + 4*g - 11 = 49. Let w be (-6)\/m - 54\/(-15). Suppose -38 = -w*h - 10. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + h**2 - 6*h - 2. Let s be f(-5). Let j = 148 - 243. Let m = j + s. List the prime factors of m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + 10*m**3 + 8*m**3 + (0*m**2 + m**2 + 4*m**2)*(-58*m - 3*m + 30*m).\nAnswer: -142*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 72 (c) 4 (d) 2 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 5. Let o(z) = -1. Let u(q) = 3*l(q) + 21*o(q). Let n be u(2). Let v = n + 50. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 401, -19 in ascending order.\nAnswer: -63, -19, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.019 or 0.13?\nAnswer: 2.019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10199 + 10199. Solve -66*h + 68*h - 4 = y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 60*a - 55*a, 2*u = -6*a + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -339.7 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-135))\/((15410\/(-2875))\/67).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -4. Let p be -7 + 4 + m\/(-11). Let j = 393 - 390. What is the nearest to 2 in j, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*t + 17 = 0, 2 = 2*r + 4*t + 4. Which is bigger: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 4*k**3\/21 + 78*k**2\/7 - 276. Factor j(s).\nAnswer: 4*s*(s + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*j + 36. Let c = j + 6. What is the units digit of (c + 5)*(-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 73. Let l = v + 60.9. Let p = l - -3.1. Which is the nearest to -0.2? (a) p (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + (43 + 3)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 513 and 342.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-981)\/390 + (-3 - -5)*1. Let p = 3\/26 + r. Which is the closest to p? (a) -8 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19 + (1188\/486 - (-4)\/(-9)). Let d(x) = -x + x**3 - 12 + 8 - x**2 + 8*x**2. Let s be d(-7). What is the highest common factor of w and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*m + 131*m - 439 = 21*m + 2276 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/(-14)*129\/(-129)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173509000 rounded to the nearest 1000000?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -12*g**3 - 11*g**2 + 7. Let o(r) = 13*r**3 + 13*r**2 - r - 8. What is -3*l(t) - 2*o(t)?\nAnswer: 10*t**3 + 7*t**2 + 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(66)*1)\/(sqrt(486) + (sqrt(486) - (sqrt(486) - -2*sqrt(486)) - sqrt(486)) - sqrt(486) - sqrt(6)).\nAnswer: 5*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21626.02 minus 8497647?\nAnswer: -8519273.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 108274698, 216549396, 324824094?\n\"Answer: 108274698*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1 - -3 - 0) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18c162 + 2?\nAnswer: -18c160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29\/5 + (-32)\/40. Let k = -554 + 556. Solve -4*g = 0, -v - 3*g = k*g - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/6 + 6*a + 47. Let x(k) = -24*k - 66. Determine x(w(m)).\nAnswer: 48*m**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 391613 smaller than 391613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 119\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*h = 22, 3*i + h - 3*h = 50. Let a(m) = -m**3 + 2*m**2 + 5*m + 1. Let z be a(4). Let t = i + z. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h**2 - 5*h**2 + 2*h**2. Let p(x) be the second derivative of x**4\/24 - 11*x**2\/2 - 24*x. Let b(z) be the first derivative of p(z). What is b(y(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.8 + -2.2. Let y = -9 - p. Let m = -1.6058 + 1.2058. Put 0, m, -0.1, y in ascending order.\nAnswer: m, -0.1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 12*w - 8. Let o be n(13). Solve -j - o = h - 2*h, 0 = -5*j - 2*h - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 2262.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 10*j + 12. Let k be s(-9). Suppose -64 + 76 = k*x. Let g = 3 - 3. Which is greater: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4308882 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104\/3 + 35. Let t = -609 + 608.96. Sort t, i, -3\/2, 1\/2 in increasing order.\nAnswer: -3\/2, t, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - x + 0*x = -78, -76 = 4*f - 2*x. Let i be (1\/(-2))\/((-2)\/f). What are the prime factors of i\/(-4) - 595\/(-20)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*p = 6, 5 + 1 = -d - 3*p. Suppose -2*i - 3*i = -0*i. Let l be i\/(-2) - ((-4)\/4 + 2). Which is the closest to d? (a) 0 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103679981.99094 + -103681047. Let u = 1065 + v. Let n = -0.008 - u. What is n rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 37486 = 3*i, 184*i + 22488 = 3*n + 181*i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -134158 or -134152?\nAnswer: -134152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12210421 (base 5) to base 14\nAnswer: 30597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3))\/(10\/120). Let o be (-6)\/d*32\/390. Let b = 1082\/715 - o. What is the common denominator of b and 76\/39?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*v - 48*v - 477 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 818386 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1191 + 1\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j + 31*j = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*a + a. Solve -4 = -4*y + a*i, i - 1 = -y - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555?\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4587 - 594. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 3*c + 3 + 0*c. Let h be b(0). Suppose 0 = v + 1, 3*m + 3*v = -v + 2. Solve -m*k + h*k = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957*g + 27 = 948*g. Which is the biggest value? (a) g (b) 5 (c) -1684\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 2*q**2 - q - q**3 + 4 - 3. Let k be h(-2). Let g(m) = -1. Let n be (-6 + (1 - 1))\/1. Let j(w) = 2*w + 7. What is k*j(x) + n*g(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5 - 1. Find the common denominator of (-1743)\/(-14)*v\/36 and -69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*l + 183 + 9, 0 = 4*l - 2*g - 186. Suppose -a - 4*a + 4*x + 96 = 0, -2*x = 3*a - 40. Calculate the remainder when l is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1428 or -1431?\nAnswer: -1428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.02941 take away -2.91?\nAnswer: 330.93941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1139 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2266165 (base 7) in base 10?\nAnswer: -285472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.3 and -3509.168.\nAnswer: -3514.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13134421 (base 5) to base 9.\nAnswer: 218143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/(11616\/(-3168)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.1. Sort h, -1\/2, 1 in ascending order.\nAnswer: -1\/2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9. Suppose 0*v + v = f. Suppose 81 = n - 2*c, 4*n + v*n + 5*c = 363. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 909 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66269 (base 15) to base 11.\nAnswer: 201925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223328266 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -j. Let q(l) = -l. Let f be q(j). Let x = f - -17. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-3) - -3)*-9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1029, 1615, 2409, 3417, 4645, 6099?\n\"Answer: x**3 + 98*x**2 + 285*x + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(3375\/240)*(-3)\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5))**(12\/13) assuming l is positive.\nAnswer: l**(36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.5883 to the nearest integer.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 17*g - 29. Let y be d(-16). What is the common denominator of (y\/(-70))\/(26\/195) and 7\/14 - (-2)\/(-11)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14b211 + -4?\nAnswer: 14b209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 95*h - 592191. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:56 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + 0*y**3 + 2*y**3 + y**4 + (-2*y + y - y)*(5*y**3 + 6*y - 6*y) to the form s*y**4 + m*y + w*y**3 + x*y**2 + n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/220 and -35\/66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6529.3254 - -6522.205399422. Let s = -7.12 - h. Round s to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*u - 300*u - 168 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.207740567 from 341886.\nAnswer: 341886.207740567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + (-1 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9, 2*s - 203 = 4*x + 809. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-135)\/30)\/((-9)\/6). Suppose 0 = x + b*m - 18, -3*x + 15 = -m - 9. Solve 4*s = -x - 11, 2*s + 30 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9955710 and 14130?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.759156346789 + 1?\nAnswer: -0.759156346789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/7 + 3610*a**2\/7 + 14416*a\/7 + 14408\/7 = 0. What is a?\nAnswer: -1801, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1273062578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2168*m - 17881. Calculate a(9).\nAnswer: 1631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14690693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:39 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47431.39 - -47435.889326. Let r = 4.5 - w. What is r rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -96.26278\nAnswer: 288.78834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**4 - 138*z + 2*z**4 + 0*z**4 + 169 - 167 to m*z**3 + j*z + n*z**2 + k + y*z**4 and give j.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*o - 36 + 30 = 0, 4*q - 5*o - 95 = 0. Let a(p) be the first derivative of -5\/3*p**3 - 10*p**2 - 6 - q*p. Find u such that a(u) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/22 + (-1134)\/(-2079).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/10, 30, -3, 7.\nAnswer: -3, -9\/10, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*w + 1, -2*w - w - 18 = -2*a. Let v(q) = 6 - 3 - 4*q + q**a + 0*q + 0 - q**2. Calculate the smallest common multiple of v(3) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 8, 11, 14, 17?\n\"Answer: 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50 - (-69)\/(2139\/1240). Suppose 0*d - 3*d + 90 = 0. Calculate the highest common divisor of m and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67465045.\nAnswer: 5, 461, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-18161415)\/(-324))\/(10\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 1187, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Let u be -1 - -1 - (2 - -1). Let x be (u\/5)\/((-15)\/(-10)). Which is the biggest value? (a) o (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3 = 0, 5*w + 8*c + 10 + 16 = w + w + 20 - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 8. What is j(-17)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 95*d - 1. Let l be w(-1). Suppose -5*r - 6 = 29. What is the units digit of l\/r + (24\/28)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 20*k. Let j be f(4). What is the greatest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(-6*(-11)\/2772)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5130.003 litres to millilitres.\nAnswer: 5130003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-8 + (8 - 7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 - 4*t**3 + 6*t**3 + (0*t**2 + 0*t**2 - 3*t**2)*(0*t - 2*t + 4*t))*(-67*t + 6*t - t).\nAnswer: 496*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 - 296*t - 44. Let v be j(-59). Put v, 4, -27 in ascending order.\nAnswer: -27, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b - 2 = 0. Let y(h) be the second derivative of -1\/4*h**3 - 2*h - 1\/8*h**4 - 1\/40*h**5 - 1\/4*h**b + 0. Factor y(z).\nAnswer: -(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*i - 2031 = 1744, 0 = -3*i + 6. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = -27. Suppose 0 = -4*p - 1 + h. Suppose 0 = -4*b + w + 13, 3*b - 3*w - 25 = -p*b. What is the remainder when 3 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-100)\/(((-3)\/(-414))\/1). What is v rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370489361?\nAnswer: 11, 173, 194687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 587*q - 1758*q + 587*q + 12917*q**2 + 584*q as r*q**2 + i*q + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1087572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*4 + -3)**2 - (sqrt(11) + sqrt(11)*-1 + -4).\nAnswer: -24*sqrt(11) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18220, 20432, 26508, 38380, 57980, 87240?\n\"Answer: 322*b**3 - 42*b + 17940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68308223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 26 = -4*q. Calculate the remainder when 24 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4158, -8397, -12714, -17109, -21582?\n\"Answer: -39*n**2 - 4122*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -60. Sort -4, -2, z, 5 in increasing order.\nAnswer: -4, -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 10 + 2)*(-3 + 2 + 3)*(3*j + 0*j - 5*j).\nAnswer: -96*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 472\/34 + (30\/51)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 24*u + 7. Suppose 0 = 4*d - 3*k + 29, -d - k - 11 - 5 = 0. Let r be j(d). Let i be -2*9\/r + -1. Sort i, -0.05, -0.1 in decreasing order.\nAnswer: i, -0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 9 = -15. What is the derivative of -37*h**r + h**3 - 11 - 4*h**3 wrt h?\nAnswer: -120*h**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 + 4*h**2 + 11*h + 1. Let g be q(9). Suppose g*l + 21 + 3 = 2*u, 5*l = -15. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 68786225.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/((21\/(-140))\/(10\/250*5)). Determine t so that -q*t + 300 + 1\/3*t**2 = 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - b - 3. Let r be z(-3). Let j = r - 15. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 28721.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 29*x**4 - 5*x**3 + 5*x**2 - 5*x - 19. Let m(s) = s**3 - s**2 + s. Let j(z) = d(z) + 5*m(z). Differentiate j(b) wrt b.\nAnswer: 116*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 9 = 4*u. Suppose 5 = -n - 2*h, 0 = u*n - h - 1 - 14. Solve n = 5*w - 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + 2.48. Let s = -4 + o. Round s to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103272193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/4 - 4*g**3 - 21*g**2\/2 - 10*g + 325. Factor r(f).\nAnswer: -(f + 1)**2*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -z + 19, -14 + 18 = l - 5*z. Solve l*r = 14*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40674, -41090, -41504, -41916, -42326?\n\"Answer: s**2 - 419*s - 40256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 419 + -158?\nAnswer: 2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64491461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128529070 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14507759 + -2.\nAnswer: 14507757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -116, -172, -226, -278, -328?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 2778 - 18618 = 0. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1282 + 3290 - 1604)*(4 - z - 4)*((-3*z + z + 0*z)*(2*z + 2*z - 5*z) - 3*z**2 + 0*z**2 + 2*z**2) in the form a*z**3 + h + m*z + k*z**2 and give a.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041154464.\nAnswer: 2, 67, 617, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3719824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2464 is divided by 811.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 7*b + 6. Let t be r(8). Let w(h) = 9*h**2 - 14*h - 8. Let p be w(-10). List the prime factors of p\/(-4)*t\/6 + 0.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2737 - 184*c + 2737)*(2*c**2 + 0*c**2 + 8*c**2).\nAnswer: -1840*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**5\/10 - 7*a**4\/12 + a**3\/3 + 3*a**2 - 20*a. Is 7 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 23. Let p be x(9). Suppose 0 = 9*n - 8*n - p*w - 95, 5*n + 3*w - 615 = 0. Suppose 0 = -0*s + 3*s - n. 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: What is the closest to -1\/4 in 7, 1, -35, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -28*f - 13. What is o(1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -251, -346, -419, -464, -475, -446?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s. Let i be b(-2). Let x = 7 - i. Suppose -d - 5*j - 40 = -6*d, j + 28 = 3*d. Solve d = -x*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296877 by -389.\nAnswer: 296877\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56571952 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - 276*p - 487. Give v(-88).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105472)\/259148 + (-6)\/(-111)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309946 and 10556?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125))**2 + 3 + 0)*4.\nAnswer: -40*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 33 = 12*j. Suppose 2*x + 5*k - 39 = 0, -3*x = -4*x + k + j. What is the remainder when 17 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 31*o - 58*o - 1 = -25*o - 13, -o + 0 = 12*i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 408848534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**2 - 18*c + 47. Determine w(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:39 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkszdkidkz. What is prob of picking 2 k and 1 i?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -42010047 (base 8) to base 7\nAnswer: -135536114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**3 - 5*m**2 + 4. Suppose -2*g + 31 + 17 = 3*y, -12 = -3*y. Suppose g*r = -80 - 46. Let k(t) = -11*t**3 + 6*t**2 - 5. Give r*x(q) - 6*k(q).\nAnswer: -4*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**3 - 11*l**2 + 11*l - 7. Let b(i) = -11*i**3 - 16*i**2 + 16*i - 11. Let z(f) = -5*b(f) + 8*u(f). Is z(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-5)\/(-3))\/((-16)\/176).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/44*2)\/(((-32)\/(-88))\/1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406144863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - g = 20, -3*b - 111 = g - 87 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 49\/(-7) + (-744)\/(-114) + -1. Which is the third smallest value? (a) j (b) 2\/7 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3481*o**2 - 4*o. Let l(j) = -7*j. Determine k(l(d)).\nAnswer: -170569*d**2 + 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/1381 + 11088\/6905. Factor 4\/5 + 8\/5*x**3 + 0*x**2 - o*x - 4\/5*x**4.\nAnswer: -4*(x - 1)**3*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 1261?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76906450 divided by 1538129?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:08 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + -5*(0 + sqrt(243)) + -3)**2.\nAnswer: 180*sqrt(3) + 6079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1519, 0, -7, 4.\nAnswer: -7, 0, 4, 1519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 183151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/102*4\/30*-9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1*(0 + 1) + 5). Suppose 9*p = 2*p - y*p. Solve p = 4*f - 5*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k**(2\/11))**(-22\/3)\/(k**(4\/5)*(k*k**4)\/k)**(-47) assuming k is positive.\nAnswer: k**(1934\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6. Let f be ((-2)\/1 + 2)\/c. Let t = 69 + -205\/3. What is the smallest value in -4, t, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 7184\nAnswer: -5\/1796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -440.64 * -425.\nAnswer: 187272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**8\/6720 + m**7\/280 + m**6\/32 + 5*m**5\/48 - 80*m**3\/3 + 30. Let k(w) be the third derivative of y(w). Factor k(h).\nAnswer: h*(h + 2)*(h + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011110101 + 10110011010010101?\nAnswer: 10101111110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.6 + -5.9. Let j = 18 + f. Let r = -0.16 + 9.16. Which is the nearest to r? (a) j (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + ((-56)\/(-126) - (-633)\/216)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 23*s**4\/12 + s**3\/3 + 3*s**2\/2 + 41*s. Let u be k(-1). Let l = u - 13. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (550 - 4844 - 382 - 3995 - 574 + 1046)*(-2*v**3 + 0*v**2 + 0*v**2).\nAnswer: 16398*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t. Let d(j) = 2*j**2 + 5*j + 5. Let n(s) = -s**2 - 3*s - 3. Let a(r) = -3*d(r) - 5*n(r). Give x(a(m)).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.5 plus -334.66?\nAnswer: -457.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g. What is o(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 838\/13*(-1)\/(-4). Let l = 21\/13 - o. Calculate the common denominator of 10\/((-160)\/(-18))*992\/120 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 18*z + 5*s + 10 = 0, -4*z - 5*s = 10. Solve 0 = -2*y + 6*y + u - 21, z = -4*y + 4*u - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/18)\/((-18)\/(-8)). Let r(d) be the first derivative of 1\/4*d**4 + 1 + t*d**3 + 0*d**2 + 0*d. Find the third derivative of r(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from uvbwh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4035, 32818, 111091, 263598, 515083, 890290, 1413963, 2110846?\nAnswer: 3005683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68\/111 + -2\/37. Is r greater than or equal to -6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/7 and (4\/(-15))\/(5 + (-2821)\/567).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3240 divided by 648.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -8 - (12 - (-26 + 19) - 58).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 49*p + 2. Let b(k) = 146*k + 105 - 330 + 107 + 111 + 3*k**3. Let x(t) = 2*b(t) + 7*h(t). What is the second derivative of x(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -66*v**4 + 13972*v**3 - 106878*v**2\/11 + 23640*v\/11 - 1688\/11 = 0.\nAnswer: 2\/11, 1\/3, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**8\/r*r)\/r)*r*r**(-1\/7))**10 assuming r is positive.\nAnswer: r**(-360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3983 and 31066.\nAnswer: 17676554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -0.1811?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.2, 1, -4\/11, 694 in ascending order.\nAnswer: -4\/11, 0.2, 0.3, 1, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6 - 870*h + 15.\nAnswer: -870*h + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24050 + -24046. Suppose -5*l + 23 = 8. Solve -l*g + o = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:04 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t. Let u(d) = -1. Let g(f) = -f + 1. Let v(i) = -g(i) - u(i). Let c(k) = 3*h(k) - v(k). Let x(z) = 4*z**2. Give x(c(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563670 is divided by 43359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 22180*j - 37. Let m(v) = -3699*v + 6. Determine -4*g(s) - 25*m(s).\nAnswer: 3755*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 17*g**3 - 16*g**2 + 38*g + 20. Let w(v) = 45*v**3 - 47*v**2 + 112*v + 59. Let q(b) = 8*i(b) - 3*w(b). What is q(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvqk when four letters picked without replacement from {k: 1, r: 1, v: 6, q: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2514 times -2\nAnswer: -5028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1087866 from 0.1.\nAnswer: -1087865.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1817 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + 21 - (-13 - (1 + 4))) + 10?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-2\/13)*n))\/(n\/(n\/(n**(2\/15)\/n*n))*n*n))\/(n**12\/((n*n**(-6\/11)*n)\/n)) assuming n is positive.\nAnswer: n**(-29011\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-7 - -6) + -17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.25226ml in litres?\nAnswer: 0.00525226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -169 + 302?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14829 + 101552. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v - 6. Let y(w) = -w + 1. Let q(j) = g(j) + 6*y(j). Let f = -12 - -17. Let b(x) = -f*x + 4*x + 0*x. Give q(b(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**3\/3 - 2*v. Let d(z) be the third derivative of -z**5\/60 + 11*z**2. What is c(d(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99b62 - 8?\nAnswer: -99b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9421*a = 9739*a + 636 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777551 is divided by 259?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -2*r**7\/735 + r**6\/210 + r**5\/105 - r**4\/42 - 7*r**2. Factor f(m).\nAnswer: -4*m*(m - 1)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 176899, 176904, 176911, 176920, 176931?\n\"Answer: w**2 + 2*w + 176896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9647258 micrograms to grams.\nAnswer: 0.0000009647258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 2523514.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 - 10*c - 7. Let d(h) = -h**3 - 3*h**2 + 15*h + 19. Let v be (1\/1 + 0)*(-29 - -24). Let b be d(v). What is a(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 2, 19*o = -4*k + 15*o + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2)\/(0 - (12 + -11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/9 and 48\/4567589.\nAnswer: 41108301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350486 less than 5350478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 109535 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -10\/7 (c) -1\/4 (d) 1\/6 (e) 0 (f) 3.7 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**3 - h**2 - 4. Let o(q) = q**3 + 1. Calculate k(w) + 4*o(w).\nAnswer: 10*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*k - 1 - 7 = 3*w, 6*w + 284 - 252 = -k + 2*k for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1694547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.176 - 0.024. Which is the fourth smallest value? (a) -1\/6 (b) 4 (c) f (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let n(y) = y - 1. Let i(w) = -51*w - 49*w + 94*w + 9. Let z(t) = 5*i(t) + 45*n(t). What is z(q(m))?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 4*k**4\/3 + 7*k**2 - 19*k. Differentiate z(s) with respect to s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*f + 3*f. Let w(q) = -12*q - 1. Give w(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1800 and 34696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -0.0377 (c) -2 (d) 0.9 (e) 0.1 (f) 148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63938886 divided by 4.\nAnswer: -31969443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 126 = -2*m - 2*m, -2*m + 5*c = -56. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 3.2. Which is the second smallest value? (a) w (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5))**16*(p**(2\/7))**(5\/6))\/(((p*((p*p\/(p\/((p*p**(-1\/3))\/p)))\/p)\/p)\/p)\/p**(-5)*((p*p\/p**(5\/2))\/p)\/(p**(2\/7)*p)) assuming p is positive.\nAnswer: p**(403\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/(12\/36). Solve 2*v = -5*q + 26, f*q + 9 = 7*q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-16)*-2*-18. Suppose 5*v - 5*q = -5, -3*q + f = 4*v - 8. Determine w, given that 6*w**3 - 14\/3*w**v + 0 - 10\/3*w**4 + 4\/3*w + 2\/3*w**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**4 - 23*b**2 + 5*b - 88. Let f(n) = 5*n**4 - 21*n**2 + 6*n - 88. Let d(t) = 5*f(t) - 6*m(t). Find the first derivative of d(w) wrt w.\nAnswer: 4*w**3 + 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -13035396429530?\nAnswer: 13035396429534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -24897.\nAnswer: -5\/24897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*f - 63. Let o = f - -41. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(76) + -1 + sqrt(76) + sqrt(76) - sqrt(76)) - (-2 + sqrt(475) + -1))**2.\nAnswer: -12*sqrt(19) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/3 + 4*i**3\/3 - 70*i**2 + 311*i. Factor t(r).\nAnswer: 4*(r - 5)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185\/(7400\/(-80)) - 82\/(-42)) + 1427\/(-21).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3 - 3*z**2 + 8. Let o(q) = -8*q**2 + 17*q. What is 17*g(a) + 6*o(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 3\/19 (c) -15 (d) 5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174854342 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -97*d**2. Let m(o) = -54*o - 2. Calculate s(m(g)).\nAnswer: -282852*g**2 - 20952*g - 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14)*w**11)**47 assuming w is positive.\nAnswer: w**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1584 and 52.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 287 + 209. Let d = -49 - o. Suppose 0 = -2*s - 3*s + d. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*p - 12*p - 67*p.\nAnswer: -212*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 6995582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 2*r + 14. Determine g(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3 - 161*l**2 - 16*l + 4.\nAnswer: -12*l - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557*f - 51368 - 97372 = -1453*f for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 44. Which is the nearest to y? (a) 0 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 15*o + 1. Let w(c) = 60*c + 4. Let j(u) = 19*u - 264. Let m be j(14). What is m*w(t) - 9*i(t)?\nAnswer: -15*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y. Let r(b) = -10122*b**2 - 1. What is d(r(u))?\nAnswer: -70854*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 8\/96725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2516*t - 7651213 + 7651213 to the form y*t + s and give y.\nAnswer: -2516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3782102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/13, -1\/2, -13067, -10\/9?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1178 - -1182.91. Let a = g + -5. Let v = 0.0903 + a. Round v to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2174 = -5*g - 4*t, -t + 2078 = 5*g - 93. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 + 1339758*x + 64315296 = 0.\nAnswer: -48, 446634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.9998788 - 8. Round c to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 3, v: 3, u: 4, j: 2, s: 4}. Give prob of sequence sv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0*h - 34*h - 50*h - h + 2*h. Let r(a) = 5*a**2. Calculate r(x(d)).\nAnswer: 34445*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 82106*r**2 - 100*r + 229. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adaadbdapjvavadaj. Give prob of sequence pdv.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36011877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:13 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3. Suppose -49 = -3*s + y, -5*s - 484 = -2*y - 566. Let p be (24\/s)\/(c\/2). Solve -4 = -m - p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 37 = -13*t, -4*t = -41*l + 43*l - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1))\/((-71)\/(-142)). Solve 0 = -6*l + 4 + b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1468628 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*5*(-10)\/550?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9766073 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3018 is divided by 189.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 42310*q - 211425.\nAnswer: -5*(q - 8457)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7413c + 7a?\nAnswer: 741b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60690777*o**5 - 84564607*o**2?\nAnswer: -3641446620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 296339015?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 19 + 19 + 25*n + 20.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*k - 25216 = 140*k - 85*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 519275371027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24193?\nAnswer: 13, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from rouuo.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 1. Let j be (0 - -1) + 4*-1. Let n = -11 - -15. Which is the closest to -1? (a) h (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 579*n + 231472.\nAnswer: -(n - 272)*(n + 851)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.94 - -3.9. What is g rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*f - 22*f - 37*f - 2*f to q + u*f and give u.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4.7, 1\/10, 5, 1.1 in descending order.\nAnswer: 5, 4, 1.1, 1\/10, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.51224 years to centuries.\nAnswer: 0.2251224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 46. Solve 5 = -v*b + b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:26 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2753 + -1085. Suppose 0 = -8*p + c + 236. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c, 0 = -5*p - 2*c - 6 + 29. Suppose 3*i = -p*k - 1709985, 2*i = 4*i - 10. What is k rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + (-1*sqrt(77) - sqrt(77)))*1 - sqrt(77)) + 1*sqrt(77)*-1)\/(sqrt(176)*2*6).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*i - 12564 + 12564 + 3*i - 4*i + 0*i + (-1 - 2 + 1)*(10*i - 84 + 84) as v + s*i and give s.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p. Let g = 0 - -5. Let w(x) = -11*x. Determine g*i(u) - 2*w(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -193, -166, -129, -82?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56634000.\nAnswer: 2, 3, 5, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 2. Let c be o(-3). Solve -3*a + c = h + 4*h, -3*a - h + 10 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 9. Let j(r) = r + 56. Let w be j(-35). Let o be w\/(-6)*408\/119. Give u(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*g**5 - 8*g**5 + 12*g**5 + (-2*g + 0*g + 4*g)*(5*g**4 + g**4 - 4*g**4).\nAnswer: -26*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6) - 1\/3) + (78300\/350)\/87?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a + 0*a - 3*a)*(3 + 2 - 1) - a + 0*a - 2*a)*(-86*a**4 + 145*a**4 - 80*a**4) + (2*a**2 + 0*a**2 - 4*a**2)*(2*a**3 - 2*a**3 - 2*a**3).\nAnswer: 235*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 12. Let g be m(-5). Let b = 7 + g. Suppose h = -w - 4*w + 1, 2*w - 2*h + 2 = b. What is w rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 108 + 80. Let t = -11 + 14. Solve -2*f - 18 = c*z, t*z - 6 + 24 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**5\/20 - x**4\/2 + 5*x**3\/6 + x**2 + 49*x - 16. Let k(g) be the first derivative of o(g). Give k(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79033751 to the nearest integer?\nAnswer: 8890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -67\/125715?\nAnswer: -67\/125715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16528480 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = z - 19 - 4, z + 33 = 4*d. Suppose -d*l - 80 + 9677 = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(3\/5)*c)\/((c**(-10)\/c)\/c))\/(((c*(c*c**(1\/3)*c)\/c)\/c)\/c**(-1)) assuming c is positive.\nAnswer: c**(199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-6))**(-16)*(x*x**(-13))\/(x*x**(-2)*x))**(-1\/40) assuming x is positive.\nAnswer: x**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 113221 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008208958 to 6 dps.\nAnswer: 0.000821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**2 + 8*o + 6. Let q(a) = -20*a**2 + 23*a + 17. Let r = -6 + -11. What is r*d(z) + 6*q(z)?\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 83*i + 266. What is v(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:38 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49729 is divided by 208.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 2*w + 4. Let n be y(-4). Let q be n\/(1*(0 + -1)). What is the units digit of (-7)\/(-5) + q\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m**(4\/3)*m))\/m*m)**(-48)*(m*m\/(m\/m**(-6)))**(-42) assuming m is positive.\nAnswer: m**226","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10733547451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 6*y**2 + 8*y + 7. Let g be r(-7). Let u be (-2)\/10*-2 - g. Factor 8\/5*j**5 + 0 + 4\/5*j**2 + u*j - 8\/5*j**4 - 6\/5*j**3.\nAnswer: 2*j*(j - 1)**2*(2*j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3 + (3 - 1 - 4)*(4 - 3 - 2))*(-157*a + 204 - 204)*(-3 + 3 - 5*a).\nAnswer: 785*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/(-100))\/((-5)\/(-220)). Solve 3*t + b - d + 4 = 0, 0 = 2*t - 4*b - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 - -5.86. Let b = h - 4. Let v = 0.5 + -0.3. Which is greater: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -7. Let q = x - 6. Put q, 1, 0.2 in ascending order.\nAnswer: 0.2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259 + -256. What is the remainder when 6 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 4. Let b be (g + (-17)\/3)*-33. Suppose -75 = p - b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62260\/704*(-4)\/30 - (-1)\/(-3). Which is the nearest to -1? (a) 4\/5 (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(7) + sqrt(3))**2*5 + sqrt(243) + 0.\nAnswer: 9*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 15 = 434*q - 436*q + 40, -4*q - 2*s + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 721 - 377. Let a = w + -343.99791. What is a rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 686*i**3 - 347*i**2 - i - 1417513.\nAnswer: 2058*i**2 - 694*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 63*d + 127 = -314 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2000, 7811, 17494, 31049, 48476, 69775?\n\"Answer: 1936*f**2 + 3*f + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -7. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 73*x**2 + 432*x + 506. Give u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) - ((-2*sqrt(144) - sqrt(144))\/sqrt(12) - sqrt(12))).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 + 3*g)*(0*g**2 - 5*g - 2*g**2 + 3*g - 2*g**3).\nAnswer: -6*g**4 - 6*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -125c9 (base 14) to base 2\nAnswer: -1011000000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4785 = -d, 3*d = 21*l - 23*l + 4765. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11291745719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*a - 54, -23 + 2 = w + 3*a. Let i be w\/18 - 4\/(-6). Let d(b) = -5*b**3 + b**2 - b + 1. Let n(u) = u**3 - u**2 + u - 1. Calculate i*d(j) - n(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/(-2) + (-1)\/(-2). Let r = h - 5. Let d = 27 + r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 6*s**2 - 45*s**4 + 44*s**4)*(-2*s + 2 - 2) + (-2*s**2 + 4*s**2 + s**2)*(-s**3 - 4*s**2 + 4*s**2).\nAnswer: -s**5 - 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24367 and 1008.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.27 and 23391198972.\nAnswer: 23391198972.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-160))\/((8\/(-5))\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.50617mg?\nAnswer: 1506170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18918*d + 18977*d - 531 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 318.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 34, 35, 16, -29, -106, -221?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 10*w**2 + 7*w**2)*(-5 + 1 - 1 + (2 + 1 - 4)*(1 + 1 - 3) - 3 + 2 - 4) - 3*w**2 + 2*w**2 + 0*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27258 - 76494 = 1179*t for t.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -w. Find the first derivative of -3*z**4 - 3 + 7*z**3 - 7*z**w wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/260 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 27*x**2 - 4*x + 6. What is the tens digit of w(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*l, 5*l - 8 - 8 = d. Let n(g) = -140*g**2 + 0*g - 5*g + d*g - g + 15*g**2. Let t(c) = -c**2. Calculate n(t(k)).\nAnswer: -125*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0.1, 417, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 7*n + 172 - 214 = 0, -3*t = 2*n + 50 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2161163 to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1111 + -667. Is i a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Suppose -j*u = -0*u. Suppose 3 = -14*v + 13*v. Which is the closest to u? (a) -1 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 3*p. Let x be -4*(6\/4 + -1). Let w be q(x). Let r be (-3)\/w - (-9)\/(-2). Let o(y) = y**2 - 3. What is o(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let v be p(-5). Suppose 8*o + 59 = -5*m + 39, -4*m = o + 16. Which is the nearest to 1\/4? (a) o (b) v (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143\/59929 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**5*r*r*r**(-3))\/(r**17\/((r**(-1\/7)*r)\/r)) assuming r is positive.\nAnswer: r**(-155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 8*a - 6*a + 3, -13 = -2*h - 3*a. Is 14122 - h - (7 - 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -29, -9 in decreasing order.\nAnswer: 1, 0, -9, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*(-3 - 12\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1673434690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 4*f**2 - 3*f**2)*((0*f**2 - 150*f + 214*f + f**2)*(5 + 17*f - 8*f - 2*f) + (f - 2 + 2)*(0*f**2 - 2*f**2 + f**2)).\nAnswer: 6*f**5 + 453*f**4 + 320*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 5:45 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywynnwlmlywlm. What is prob of sequence nmmn?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 38*h. Let n(z) = z**2 - 44*z. Calculate q(n(p)).\nAnswer: 38*p**2 - 1672*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -147 + 152. Solve 0 = d - 2, -n + 3 = -a*d + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*f = -8, -3*f - f = 4*z - 64. Let o = -488 + 698. Suppose 0 = -6*m + z*m - o. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 12*o = -30. Let n be (-1934)\/(-8) + o\/24. Suppose -3*i + 5*x = -n, 2*x + 3*x = 5*i - 410. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from qbxbbqxdbbbxxbqx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/539 - -1096\/4851. Let l = 178 + -893\/5. What is the second smallest value in -5, m, 3\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from 16.93.\nAnswer: 16.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-5)*(c**(2\/13)\/c*c)\/c)\/(c**(-1\/4))**(-28))**(1\/37))**27 assuming c is positive.\nAnswer: c**(-648\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(2*c + 0 + 0)*(-3 + 1 - 18).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3656 = 182*n - 1180 - 1352 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 10.\nAnswer: -63\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*h - 39 = h, -3*f = -4*h - 142. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c + 1425. Let k(x) = x. Give l(k(b)).\nAnswer: -6*b + 1425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(0 - 8 + 2)*(4 + 3 - 4)*(-3*v**3 - v**3 + v**3).\nAnswer: 162*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 3. What is m(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/z**(-6))*z)\/((z*z*z*z**(-7\/4))\/z*z))\/(z**(-7)*z**(-3\/7)\/z) assuming z is positive.\nAnswer: z**(33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 13. Let s(z) = -r*z - 3 + 2*z**2 + 5*z + 4 - z**2. Let c be s(-3). Solve -2*l + 1 = -c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16149)\/(-1538)*1*-2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 27*o**2 + 35*o + 11*o**2 + 10*o**2 + 4*o**2.\nAnswer: 2*o**3 - 2*o**2 + 35*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 70 = -30 - 26 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4 - 4 + (0*u + 2*u - 3*u)*(-2 + 0 + 0))*(2*u**2 - 2*u**2 - u**3).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2)*(-8*z + 11*z + 2*z - z + 0*z - z - 6*z + 2*z + 2*z + (-z - z + z)*(-3 + 1 + 4)) to d*z + r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -f + 205. List the prime factors of f.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-11 + 18 - -9 - 1) + 36).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -276.028 + 276. Round k to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.67 - -1.3902.\nAnswer: 3.0602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from okkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 - 6*j. Let r be i(4). Let u be 0\/(-2) + r\/(32\/(-32100)). Let m = u + 5385. Round m to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -179*g**4 - 6*g**3 + 50*g - 7. Let s(h) = 2*h**4 + h**3 - 2*h + 1. Let j(d) = i(d) + 6*s(d). What is the second derivative of j(a) wrt a?\nAnswer: -2004*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599786 is divided by 8813.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2467*n - 2*n**2 + 3*n**2 - 2470*n - 8. Determine s(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*c + 105 + 29 = 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28273245358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)*p**(4\/3))\/(p*p**(2\/3)*p)**(-37))**(-28) assuming p is positive.\nAnswer: p**(-2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35355 and 3653350?\nAnswer: 10960050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2860 - 55*h + 13637 - 10777.\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:41 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -32.32. Round b to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10\/3 + -28\/9. Let v(f) = -f - 3. Let t be v(-4). Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101310 - 31033021?\nAnswer: -23331111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**18*x)*x**(-31\/5) assuming x is positive.\nAnswer: x**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485420180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 16*k + 980. Suppose -4*y - 255 = -5*j, j + 5*y = -0*j + 22. Let g = k - j. Calculate the highest common divisor of g and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 11*w**2 - 11*w + 11. Let v be p(10). Let k be (3 + 2\/2)*v. Suppose -5*n + k*a = -150, 5*n - 2*a + a = 150. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24639, 0, 5 in decreasing order.\nAnswer: 5, 0, -24639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -4 - (-7)\/((-7)\/6). Let x be ((-68)\/o*1)\/((-1)\/(-8)). Suppose 5*n = -3*s + 107, -n + x = 2*s + 3*n. What is the remainder when 129 is divided by s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/220*(2\/32)\/((-30)\/(-300)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 6 - 24 = 5*q, 4 = -4*q - 2*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 138208?\nAnswer: 138208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.65163 + -0.03723. Round b to 2 decimal places.\nAnswer: 2.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65)*2 - sqrt(65) - sqrt(65)) + -5*(sqrt(65) + sqrt(65)*1))\/(sqrt(125) - (sqrt(125) + -1*(sqrt(125)*-2 - sqrt(125)))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t**4 - 2*t**2 - 11*t. Let b(i) = i**4 + i**2. Let u(w) = -2*b(w) - k(w). What is the second derivative of u(c) wrt c?\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8641194*d. Let i(l) = -3*l**2. Give y(i(o)).\nAnswer: 25923582*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, a: 2, y: 1, j: 6, f: 2}. Give prob of picking 1 y, 2 a, and 1 o.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - 0. Let o = q - 5.08. What is the third biggest value in o, -4\/3, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -55*r**2 - 2*r - 3. What is f(-1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 259802020 to the power of 1\/2, to the nearest integer?\nAnswer: 16118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75761.\nAnswer: 7, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365355 is divided by 7933.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 1108334372504?\nAnswer: 1108334372508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15940 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100011010 (base 2) to base 12\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*j + 52. Let o = -3 + j. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 + 11 + 194\/(-4). Let q = 48 + b. What is h in -q*h**2 - 1\/2*h + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 2 + 5 + 4 - 12. Let u(n) = n. Let a = -2 + 3. Give a*t(f) + 3*u(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1412*d - 1410*d = 5*a - 9, -2*a - 9 = -5*d. Factor 16\/3*i + a*i**3 - 7*i**2 - 4\/3.\nAnswer: (i - 1)*(3*i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13022358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + 2d?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3*s, -s + 0*s - 5*w + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 37. Suppose 0*s - l*s + 840 = 0. Calculate the common denominator of (18\/(-21))\/(-4 - (-824)\/s) and -27\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*w - 68*w = 0. Put 3, -1, w in increasing order.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:48 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12)*0 + 5. Let p(o) be the first derivative of -1\/5*o**b - 1\/4*o**4 + 5\/2*o**2 + 2*o + o**3 - 3. Find i, given that p(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/4)\/((-3)\/4). Suppose -4*v + s + 2 = 0. What is the smallest common multiple of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x\/x**(-10))*x**(-6\/17)*((x\/x**(-7\/6))\/x)\/(x\/x**21) assuming x is positive.\nAnswer: x**(1205\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a**3 - 3*a + 3. Let u be 24\/(-9) - 2\/(-3). Let i(v) = v**4 - 8*v**3 + v**2 - 2*v + 2. Let j(n) = u*g(n) + 3*i(n). Factor j(z).\nAnswer: 3*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 68, 272, 588, 992, 1460, 1968, 2492, 3008?\n\"Answer: -4*b**3 + 80*b**2 - 8*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1488)\/(-9672))\/((-12)\/65).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33779.4 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1)\/((-4 - 0)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -951050157 by 5.\nAnswer: -951050157\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {v: 2, u: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -900800452 bigger than -900800454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 - 2*m**4 - 4*m**3 + (-2 + 2 - 2*m**2)*(-m**2 - 2*m + 2*m) + 322*m**2 - 13*m**4 - 322*m**2 - m**4 + 3*m - 3*m.\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose -b*y + 2*h + 8 + 38 = 0, -y - 2 = -5*h. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -184, -204, -244, -310?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 15 = 6*v - 27 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let v(n) be the third derivative of -n**6\/720 + n**5\/24 - n**4\/8 - 3*n**2. Let g(j) be the second derivative of v(j). Give g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -82*k**2. Let x(d) = -32720*d. What is j(x(z))?\nAnswer: -87789068800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*6\/(-3)*5*(-4410)\/(-26950).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 15090 = 9*n. Let r be 1\/(-4)*(n + -10). Suppose 5*i + r = 3*y, -2*y + 3*i = 5*i - 526. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/2236 and 59\/507360.\nAnswer: 283614240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1569 + 1462.17. Let r = 106 + x. Round r to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6256 + -6263. Sort k, -0.3, -0.6 in ascending order.\nAnswer: k, -0.6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 417*g**2 + 163*g + 9624. What is i(209)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 38*i**2 - 192*i + 455. Is u(-102) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*b - 3303*b + 120802 = 116*b for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:16 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15*q**3 - 7*q**2 + 2*q. Let l(c) = -5*c**3 + 2*c**2 - c. Calculate -7*l(k) - 2*n(k).\nAnswer: 5*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 116\/249501?\nAnswer: 116\/249501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**22*q)\/q*q*q\/(q**5\/q))\/(q**(3\/11)\/q**(-15)) assuming q is positive.\nAnswer: q**(63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -209 + 906 - 483 - 2*z**3 + (0*z**3 + 4*z**3 - 5*z**3)*(-1 - 1 + 1) + 2*z**3 + z - z in the form k*z**3 + f + a*z + r*z**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.62 - -11.2825. Let m = -6.6 + f. What is m rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) - (sqrt(112))**2)) + 4)*4.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1)\/(136\/(-23) - (48 - 54)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 86. Are -1\/30 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-2 + 0))\/(-1). Let y = -46 + 58. Let o(l) = -12*l**2 + 1 + l**2 + y*l**2. What is o(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.5 - 10.8. Let g = 4.4 + c. Is g < 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + l = -17 + 24, m - 2 = 4*l + 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = -7*s - 31*d + 20*d - 29, 5*s = -3*d - 47 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 7*g**2 - 6*g. Let i(c) = 3*c**3 + 7*c**2 - 6*c + 1. Let t(l) = 3*i(l) - 4*n(l). Let k be t(6). Suppose x - k*x = -22. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = -5*r. Let n be (6\/6)\/(r\/(-6)). Solve 0*i = -2*s - 4*i - 4, -s - n*i = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o + 3*w = -39, 4*o - 40 = -2*w. Solve 4*c - 5*v + o = 0, 7*v - 8*v = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422 (base 11) to base 8\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**2 - 996*b**3 - 422*b**5 - 797 - 1079*b**3 - 71*b**5 + 2075*b**3 + 4*b wrt b?\nAnswer: -9860*b**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in 0.5, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 27 - (24 + -27 + 17)) + 69?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5\/9 - 145072*p**4\/3 + 7892642150*p**3\/3 - 142057113676*p**2\/9 + 31567473784*p - 21044724624.\nAnswer: 2*(p - 108801)**2*(p - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*b - 317*b = 98. Let m(p) be the first derivative of 1\/3*p**3 + 14 + 2*p**b + 4*p. Let m(s) = 0. What is s?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + q**2 + 2*q + 1. Let u be p(-1). Let r = u - -1. What is the second smallest value in -0.2, -0.3, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 3*j + 1209 = 0. Let m = j + 97. Is 3 a factor of (0 - (-183)\/12) + (-1)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i - 20. Calculate the common denominator of (i\/18)\/(1\/17) and 21\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 2\/13, -6, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/(-36)*(-45)\/335. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1812997071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -0*t, -3*t = -2*x + 41. Suppose 1 = 2*j - x. Suppose -5*m + 3*c + 18 = -0*m, -4*c + 2 = 2*m. Solve -m*u + j*u = -16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404658 - -99576.8.\nAnswer: 504234.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -16*n**3 + 2*n**2 + 2*n - 7. Let l(v) = 8*v**3 - v**2 - v + 3. Determine 4*k(j) + 9*l(j).\nAnswer: 8*j**3 - j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**8\/20160 - r**7\/5040 - r**6\/720 - r**5\/30 + 4*r**2. Let w(t) be the third derivative of m(t). What is w(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4) - 87\/(-4). Let g = m + -11. Suppose 3*u + 1 = -4*n, -3*u + 3*n + g = -16. Solve 0 = -u*o + o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d6 + 1c63d?\nAnswer: 1c735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 94 = -4*h, h + 8 - 20 = -5*g. Calculate the remainder when 80 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*x - 239 + 472 - 233. Solve x = -4*d - l - 13, 3*d - 4*l = 3 + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*h**2 + 131 - 49 + 611.\nAnswer: -2*h**2 + 717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 1, z: 4, g: 8}. Give prob of picking 2 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.63?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 150\/(-20)*2\/(-3) + -5. What is the second smallest value in a, 315, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-41)\/(2706\/88)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8102 + 13590. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbr when three letters picked without replacement from hbbrrurrmrjbhrb.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*h - n, 5*h + 4*n = 3*n + 1. Let s = -23 + 25. What is u in -2\/3*u**4 + 10\/9*u**3 + 2\/3*u**s + h - 2\/9*u - 8\/9*u**5 = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/21*7)\/36.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6131275 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3311 and 330.\nAnswer: 99330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027531548 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 119 + -185 - (2 + -17)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9 = -w, 4*w + 4*y - 2 - 2 = 0. What are the prime factors of w\/1 + (69 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9652 - -86870\/9. Let n be 568\/(-36) - (-2)\/(-9). Which is the second smallest value? (a) o (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**3 - 146*r**2 + 666*r - 45. Give p(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -60.643.\nAnswer: 60.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0*k**3 + 1\/12*k**4 + 2*k + 0 + 0*k**2. Let l(v) = 3*v - 4*v + 0*v. Give l(t(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 15. Let r(p) be the first derivative of p**2\/2 + p + 3194. Give 3*k(l) + 45*r(l).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594 and 158466?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 257525 to the power of 1\/2, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2. Let m(b) = 3*b - 5. Let x(y) = -m(y) + 2*v(y). Let l(w) = -5*w + 2. Calculate 4*l(g) - 7*x(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0991213 minus 217?\nAnswer: -217.0991213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 3 = -5*c + t, -4*c + t = -9. Let n be -7 - (4\/(-1))\/c. Let p be 1\/n*(-2)\/3. Put p, 0, -2 in decreasing order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372977, -745922, -1118855, -1491770, -1864661, -2237522, -2610347?\nAnswer: -2983130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*h - 55*h - 26*h = -6076 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 15, -w + 0*x - 3*x + 312 = 0. Suppose 427 = 13*i + w. What is the remainder when 97 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5425153 + 232?\nAnswer: -5424521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a**3 + 0*a + 2*a**3 - 2)*(0*a - 2*a + 15*a) as m + g*a**3 + o*a**2 + p*a**4 + l*a and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/61, 2, 0.09, 7\/5 in descending order.\nAnswer: 2, 7\/5, 0.09, -2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.041, -0.173, 0.93, -0.4 in descending order.\nAnswer: 0.93, -0.041, -0.173, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 409010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Let a = b + 4. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22 < 4\/459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836, -1768, -2700, -3632?\nAnswer: -4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 2813.\nAnswer: 2812.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -180570544 divided by -2716\nAnswer: 66484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0909721mg to kilograms.\nAnswer: 0.0000000909721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 52)*(-8)\/(-8). Calculate the greatest common divisor of 26 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -42. Let i be (-28)\/21*2\/r. Find b such that -i*b + 1\/3*b**3 + 0 + 0*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + d + 343 = 0, 4*b - 5*d - 455 = -168. Let k = b - 31. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194.482 - 0.482. Let s = -193.6 + m. What is the nearest to 2 in -0.08, -2\/17, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 + 40*u - 69. Let i(d) = 4*d**2 - 19*d + 34. Let r(j) = 7*i(j) + 3*k(j). Determine r(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 - 7*m + 7. Suppose 9 + 63 = 2*r. Calculate the remainder when r is divided by k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542248, -542256, -542264, -542272, -542280?\nAnswer: -542288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 206 + 23 + 17*a + 13.\nAnswer: 17*a - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*t + 105 = 0, -6*t = 4*y - 4*t - 82. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 435315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2\/20)*-1. Let c = f - 6. Suppose -c*v + 13 = 1. Calculate the greatest common divisor of 24 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - o**2 + 3*o - 6. Let z(a) = -2*a**3 + 2*a**2 - 4*a + 7. Let y(w) = 7*l(w) + 6*z(w). Let t be y(-4). Is 3 - (3 + 1) - t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000451715 rounded to 7 decimal places?\nAnswer: 0.0000452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/34, 1, -42?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 5. Let t be (-56)\/(-10) + 6\/15. Suppose s + 2 = 1. Let l(x) = -x + 1. Let v(y) = s*f(y) + t*l(y). Let n(h) = 6*h - 8. Give -n(a) - 8*v(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 - -147. Solve b*z = -7*z - 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 120833*z**4\/6 + 8*z**3\/3 + 7*z**2. Let q be o(12). What is q rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)\/j)**(-10\/7) assuming j is positive.\nAnswer: j**(130\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 2197, 6426, 12743, 21148, 31641, 44222?\nAnswer: 58891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 1. Let q be n(-2). Suppose -q*b + 31 = -89. Let c = -6 - -9. What is the highest common factor of c and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12281394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 339*i**3 + 15*i. Let y(m) = -169*m**3 - 8*m. Determine -6*r(w) - 11*y(w).\nAnswer: -175*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -346593*j**2*x**3 - 18*j**2 + 969*j - 2 wrt x.\nAnswer: -1039779*j**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3096878?\nAnswer: 2, 71, 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 21*q = -38*q + 702 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 25. Let l = -27 - -41. Calculate the remainder when s(0) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:47 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose -3*p = -o - 109 - 54, -3 = h*o. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 40*b - 1. Let z(h) = -4509*h - 47. What is z(y(m))?\nAnswer: -180360*m + 4462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h**2\/5 + 308*h - 512\/5 = 0 for h.\nAnswer: 1\/3, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4186 is divided by 1001?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 1. Suppose 0 = -6*h + 4*h - 2. Let g(f) = -5*f - 17. Let d(q) = h*g(q) + 6*u(q). Let m be d(11). Solve m*o + 3 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 1887*q - 1890*q + 5*n, -2*q + 5*n = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351196311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - 15 = b, -20 = -5*d. Let l = 7 + b. Let k be l\/16 - 61\/(-4). Calculate the highest common factor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a90a0 (base 16) to base 2.\nAnswer: 110101001000010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2215*m - 91. What are the prime factors of y(-2)?\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 29 = 5*f, 3*f = 50*t - 48*t - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*c - 51*c - 1207060 = 122710. What is the ten thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*z**2 - z**5 - z**5 + 62*z**2 + 0*z**5 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2313*r - 25467. What is x(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0*l + 2 = 0, o = 5*l + 184 - 178 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 17. Let a be (12\/m + -1)*1. Factor -1\/2 + 0*y**3 + y**2 + 0*y - a*y**4.\nAnswer: -(y - 1)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -2\/5, 0.4, 0.6 in ascending order.\nAnswer: -1, -2\/5, 0.4, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-29))\/h*h*h*h**(-34)*h*h assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*x + 11*x - 27*x + 15 wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.21 (b) -4\/5 (c) -18 (d) 49 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -1 - (-40 - -95 - 39)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 4. Let v(t) = -1. What is u(w) + 2*v(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2640.87 millennia?\nAnswer: 2640870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**4\/12 + c**3 - c**2\/2 - 4*c. Let o be r(4). Let l be (0 + -3)*11\/(-33). What is the greatest common divisor of l and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 7*u**2 - 4*u + 3. Let p be s(-6). Let o be (-1 - 6\/p)*-15. Let k be (-1 + 7\/3)*3. Solve -o*c = x - 20, 4*c = 4*x - k - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -25023414?\nAnswer: -25023415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011110011010101 (base 2) in base 15?\nAnswer: -19074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 - 4 = 4*p, l - 4*p = 19. Suppose 0 = 8*c - 5*c - 33. Suppose -u + 28 = 5*r - 5, 0 = 2*u - r - c. Put l, 0, u in ascending order.\nAnswer: 0, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1147523, -1147439, -1147355, -1147271, -1147187, -1147103?\nAnswer: -1147019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -o + 33, -b - o + 2*o = -3. Let v(z) = 10*z**2 + b + 3 + 0*z**3 - z**3 + 0*z - 7*z. What is the units digit of v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 16*n - 101. Let g be w(5). Suppose -3*u = 5*a - 4*a - 74, 304 = 4*a + g*u. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5360\/(-22110))\/((-8)\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c - 2)*(14*c**3 - 19*c**3 - 11*c**3)*(3*c + c - 5*c).\nAnswer: -32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -68. Let o = -0.03 - 0.27. Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44116 - 44037. Suppose -r = -31 - 124. What is the remainder when r is divided by z?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/149323?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13128*w**2 + 26277*w**2 - 13157*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (3 - -5) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70.67 - 71. Let m = u - 0.07. Which is the third smallest value? (a) -5 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824*c**3 - 592*c**3 + 72*c**3 - 31*c**3.\nAnswer: -1375*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.071 - 0.071057. What is n rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1032 and -7\/291024.\nAnswer: 291024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -311 - -1133. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j + 2*j**3 + j**2)*(-36*j + 62*j + 75*j + (0 + 0 - j)*(1 + 2 - 1)).\nAnswer: 198*j**4 + 99*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 + 2*t. Let c be u(3). Let i = c - -152. Let p = 31584 - 31577. Calculate the greatest common factor of p and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78366 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 18, -14, -66, -144, -254?\n\"Answer: -j**3 - j**2 - 8*j + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62067 + 104944. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 178636 and -369.\nAnswer: -65916684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 2108.\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmzzzzzz. What is prob of sequence mm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 10 + 22 = 0. Let y be (2 + -6)*4\/a. Suppose -2*g - y*g + 264 = 0. Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -3*4\/(-6). Let k be (-5 + (-57)\/(-9))\/((-2)\/6). Let y = t - k. Solve y*x - x = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -708 by 3.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4582.4ml?\nAnswer: 4.5824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5192.19 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 + 2*m + 14 + 10 - 24 + 4*m**2.\nAnswer: -14*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5 + 5 + 4 - 7 + 22*b**2 + 69*b**2 - 28*b**6 - 1 wrt b.\nAnswer: -3360*b**3 - 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 612, 732, 854, 978?\n\"Answer: o**2 + 117*o + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-1*4 - sqrt(136))\/(-2*sqrt(24)\/sqrt(3)))**2 - (0 + -5 + sqrt(17) + sqrt(17) + sqrt(153)\/(sqrt(99)\/sqrt(11))).\nAnswer: -3*sqrt(17) + 445\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15)\/(p*p*p*p**15) assuming p is positive.\nAnswer: p**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 148 = 12*o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 564018073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2755177 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24850 or -3318?\nAnswer: -3318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000880845 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0\/t**(1\/6)*(t*t**(-4))\/t**(4\/7)*(t**(3\/2)*t\/t**(3\/7))**35 assuming t is positive.\nAnswer: t**(1444\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(4\/3)\/v)*v**2*v)**(2\/31) assuming v is positive.\nAnswer: v**(22\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11903 - 2453 + 4*f**3 - 3*f**3 + 14352.\nAnswer: f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*l + 3, -2*l - 2*v = -5*l - 4. Let s = 644.5 + -639.5. Which is the second biggest value? (a) s (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 89\/(-5) - (-1)\/(-5). Let m be (-4)\/w - 1814\/(-18). Suppose 5*i - m = 59. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -283\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-1))\/((-1269)\/1269)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (100 + 2)*(-18424)\/(-336)?\nAnswer: 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5880 - -7938.\nAnswer: 13818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j. Suppose -t + 2*q = -0*q + 11, -4*t = -5*q + 41. What is k(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8751848399.181688906 + 34518523278.818312224. Let d = 43270371450 - o. Let p = -228 - d. Round p to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -236, -5, -15, -1, 3 in increasing order.\nAnswer: -236, -15, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 4 + 1 + 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 202435 (base 6) to base 11\nAnswer: 11153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Put y, 1, 4, 1\/4 in decreasing order.\nAnswer: 4, 1, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-285))\/(((-168)\/(-35))\/8)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111607, -111668, -111835, -112162, -112703, -113512?\nAnswer: -114643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4957.4 and 0.2.\nAnswer: -4957.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0 - 3 - 1)*(6 - 6 - 5*i).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 15. Give o(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + w + 8. Let l be j(4). Let x be (2\/l)\/((-4)\/32). Suppose -6*a + a - 92 = -x*o, -2*a = o - 10. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125761051?\nAnswer: 13, 233, 41519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.15, 0.3, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 - 29*s**2 + 4*s**2 + 11*s**2 + 4*s**2 + 22*s - 2*s**2.\nAnswer: -2*s**2 + 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 912, 1823, 2748, 3693, 4664, 5667, 6708?\n\"Answer: c**3 + c**2 + 901*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n - 140. What is the highest common factor of n and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21771*t**2 + t - 29568?\nAnswer: -43542*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348784*h = -348906*h - 5246 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 20. Let z be 1717\/(-21) - 4\/6. Let k = z - -82. Sort w, 0.1, k in ascending order.\nAnswer: k, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 669645 = 19*b. Does 38 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + l**3 + 4)*((-l**2 - 11 + 11 + (3*l + 2*l - 2*l)*(l - 3*l + 0*l))*(1 + 3 - 2) - 3*l**2 + 3*l**2 - 3*l**2).\nAnswer: -17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60466582?\nAnswer: 2, 11, 71, 38711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from kussxfk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -8, -1, 0.03, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 77 - 839 - 454.\nAnswer: l - 1370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 10*h**2 - 11*h - 12. Let a be y(-9). Let q(m) = -m**2 + 12*m + 4. Let x be q(12). Solve -g + a = -x*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0*k - 16 = -2*j, 6 = 2*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {x: 3, z: 2, l: 2, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4*(-1)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 588 + -583. Suppose 2*h + 4*n = r*n + 274, -n + 131 = h. What is the least common multiple of 63 and h?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/61940 and 77\/1630?\nAnswer: 61940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/137 and -49\/2.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -58, -140, -266, -442, -674, -968, -1330?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 3) to base 12.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 19. Let f = 0.2 + 0. What is the third biggest value in 2, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/45 - 3\/35. Let d = 61.08 - 61. Sort u, 0.5, d.\nAnswer: u, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214061285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**2 + 2*a**2 + 4*a**2)*(0 - 1 + 0)*(-14*a - 577*a**2 - 693*a**2 + 10405*a**2 + 14*a) as u + h*a**3 + w*a**4 + p*a**2 + q*a and give w.\nAnswer: -18270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 20111?\nAnswer: -20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2512*g**3 + 80*g**2 - 8*g - 11498.\nAnswer: -15072*g + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/130)\/(15\/(-1365)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 2*t**2 + t**2)*(-6*t + 4*t + 0*t)*(19 - 33 + 61*t + 17).\nAnswer: 122*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q - 3*q + 5*q)*(1 + 3 - 2) + (2 + 0 - 1)*(3*q - 3*q + q) - 2 - 3*q + 2 + 7*q + 36*q + 5*q to g*q + d and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 280*f**2 - 12*f + 8 - 282*f**2.\nAnswer: -2*(f - 1)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59818 is divided by 276?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249*b**2 + 69016*b - 69016*b)*(-2*b + 5*b - b).\nAnswer: 498*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 2, l: 7, s: 5}. What is prob of picking 2 p and 1 g?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-8))\/(-1*76\/20)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*b**3 + 31*b**2 - 47*b**6 - 41*b**6 - 858*b**2 + 76*b**6 wrt b?\nAnswer: -1440*b**3 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 minus -40?\nAnswer: 39.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*p**2 - 51*p**2 + 80578*p**4 - 80592*p**4 + (3*p**3 - p**3 - 3*p**3)*(-37 + 4*p + 37)*(2 + 2 - 6).\nAnswer: -6*p**4 - 64*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03213925 rounded to 4 dps?\nAnswer: 0.0321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-4)\/2 + 1. Let g(l) = 6*l**3 - 5. Let o(b) = -526*b**2 + 526*b**2 + 1 - b**3. Determine f*o(x) + g(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -60 times -0.198\nAnswer: 11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*2*((-9)\/12)\/((-33)\/22).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489385818 to the power of 1\/2, to the nearest integer?\nAnswer: 49894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2*x**5 - k**2*x**2 - 123084*x**5 - 29111*x**2 wrt x.\nAnswer: 60*k**2*x**2 - 7385040*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.2054 - -0.2054. Is m <= -2\/1117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*l + 121759 = 70111 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46140 and 2440?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2043*a + 2047*a - 204. Suppose 2*g - 6*g = -136. What is the greatest common divisor of g and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*g - 2*r, 5*g + 0*g + 3*r - 51 = 0. Solve -8*p = -g*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2374686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {l: 8, b: 4, f: 3, c: 3, d: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13121306, -26242619, -39363932, -52485245, -65606558, -78727871?\nAnswer: -91849184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60826 and 43021872.\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30622 by -3.\nAnswer: 30622\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 7 = -25 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 577.8 - 594. Let l = z - -16.5. Let u = -1.95 - 0.05. What is the closest to -4 in -3, l, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 1 + 10 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4250 and 8?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 8*n**2 + 33*n - 38. Let r(y) = -y**3 + 17*y**2 + 66*y - 77. Let q(m) = -2*r(m) + 5*z(m). Find w, given that q(w) = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 1971*c**5\/20 + c**4\/24 - 2977*c**3\/3 + c**2 - 45*c - 7. What is the derivative of s(i) wrt i?\nAnswer: 11826*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -155, -1\/6, -5\/6, 4\/5, 126, -3\/7?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195 - -245. Calculate the smallest common multiple of 50 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let t = r - 3. Sort -1, t, 1.\nAnswer: t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*g - 7, 5*g = 3*i - 31. Solve 2*l - i = -0*l - 3*o, -3*o + 13 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-40) - 82\/(-10). Suppose -5*a + 12 = -r*a. Let n(x) = -x**3 - 3*x**2 + 4*x + 4. Let i be n(a). Solve 0*m + 6 = 4*d + 2*m, -i*d + 9 = 3*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284906*i**5 + 2414*i**2 - 8*i - 1 wrt i.\nAnswer: -17094360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -6. Suppose -3*l + 19 = 4*m, -3*m + 18 = -3*l + 4*l. What is the remainder when m is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*i**3 - 749*i**3 + 101*i**3.\nAnswer: -906*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*j**4 - 1318*j**3 + 2*j**2 - 692142*j?\nAnswer: 1956*j**2 - 7908*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2 + 96*p - 99 = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4895249 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + 107*v**4 + 315*v**3 + 313*v**2 + 104*v.\nAnswer: v*(v + 1)**3*(v + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**7\/630 + i**5\/60 - i**4\/36 + 9*i**2. Factor g(r).\nAnswer: -r*(r - 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(128))*-3.\nAnswer: -24*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*u - 858 = 726. Solve -2*m + 8 = -4*h, -5*h - 1 = u*m - 13*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -6*p - 70. Suppose 5*t = -15 - 10. What is the lowest common multiple of -1*8\/2*t and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7696 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 26, -34, -128, -262, -442?\n\"Answer: -n**3 - 8*n**2 - n + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 5*f + 107557 - 107561 = 13*p, p - 65*f - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - d**4 + d**4 - 3*d**4 - d**4 + 3*d**4 + (4 - 2 - 4)*(-6*d**4 + 4*d**4 + d**4) - 5*d - 2*d**4 + 5*d + 0*d + 13*d**4 + 0*d.\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -62*h + 64*h + 8, -3*p = -2*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 + 3*g**2 + g - 3. Calculate v(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:51 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -p - 0*d + 19, 0 = -3*d - 3. Let y be (5 - 8)*(-4)\/(-3). Calculate the lowest common multiple of p and -2*(y\/2 + -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*s + 33. What is the highest common factor of s and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -4*d - 3\/2*d**3 - 9\/4*d**4 + 3*d**2 + 0. Solve k(v) = 0 for v.\nAnswer: -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*x**2 - 137*x**2 + 95*x**3 + 3.\nAnswer: 95*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 4\/27*c**5 + 7\/108*c**8 - 4 + 0*c + 0*c**3 + 1\/27*c**4 + 47\/180*c**6 + 29\/135*c**7 - 3*c**2. Find l such that t(l) = 0.\nAnswer: -1, -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946 is divided by 471.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqm when three letters picked without replacement from {y: 5, q: 1, j: 1, o: 4, r: 1, m: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/324 and 55\/216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - g + 13 = 0, -k - 36 = -3*k - 4*g. Suppose k*m + 0*m = 3*m. Solve -p + 0 - 2 = m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 114 - 84 = 0. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, -7, -0.4, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 666 + 1183. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-16)\/(j*j**(-20))*j*j**25*j\/j**(-1\/9)*j assuming j is positive.\nAnswer: j**(280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2768349 and 530?\nAnswer: 27683490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*6*(-4)\/(-12). Calculate the remainder when 13 + (4 - 1) - q is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 43*b**2 + 36*b - 67. Let h be s(-44). Let u = h - 252. Calculate the remainder when 151 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36819411 times 4?\nAnswer: -147277644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(6\/7)\/(y**(1\/2)*y*y\/y**(-1\/10)*y) assuming y is positive.\nAnswer: y**(-106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2736723, -10946954, -24630673, -43787880?\n\"Answer: -2736744*x**2 + x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140323?\nAnswer: 23, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 27.4 (c) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307743309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23658709 to the power of 1\/2, to the nearest integer?\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:39 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 24*k + 1629. Let i be u(-68). Sort 7, -28, i, -4 in decreasing order.\nAnswer: 7, i, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*a + 757*a - 251*a - 245*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 - 106753*c + 640508. What is z(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Suppose -2*u = -3*w + 18, 4*u + 8 = -w - 0*u. Let t(q) = -q**3 + 14*q**2 - 9*q - 50. Let m be t(13). Sort m, d, w.\nAnswer: d, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607 = 65*n - 327 + 565 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00214 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-28 - (8 - 18))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - -8) - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - f + 5*f**2 + 2*f - 4*f**2. Let o(k) = 3*k**2 + k - 4. Let x(j) = o(j) - 2*y(j). List the prime factors of x(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k**2 - 17*k + 14. Let v be 3\/6*-8 + 42\/7. Let d be 3\/2*(v - (-112)\/(-24)). Let r(y) = -3*y**2 + 6*y - 5. Give d*x(l) - 11*r(l).\nAnswer: l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 2*s + 2*s + (2*s + 1 - 1)*(0*s**4 - s**4 + 2*s**4) + 2*s**5 - 2*s**5 - 2*s**5.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**5 - 167*d**2 + 2230*d.\nAnswer: 20*d**3 - 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 849 - 812. Suppose -205 + c = 12*r. Is r > -1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*q - 391 + 391.\nAnswer: 263*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 6624 = 22904 - 3073. What is the lowest common multiple of 99 and i?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - f - 90, -1704*x - 2*f = -1701*x - 250. What is the highest common factor of 11008 and x?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 374, 518, 630, 710?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*k, k - 3 - 2 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084\/8336 - (-3)\/(-8)*190178\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4052*n**2 + 2 - 4132*n**2 + 8182*n**2.\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -133322, -2, -5 in descending order.\nAnswer: -2, -5, -133322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, 4, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/25)\/(11*(-13)\/2145) - 0.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-8)\/3 - (7 + -10)). Are -3 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 6*q - 5. Let m be o(5). Let u(w) = m*w**2 - w**2 + 14 + 4*w - 8. What is u(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14)*(-434)\/682. What is the closest to -2\/3 in -0.033, -2, c?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*5\/20*(-5)\/((-20)\/34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/12 - 1198\/(-6). Let p be 4\/(-6) + t\/12. Let g = 37 - p. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 + 107. Suppose 38 + l = 3*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:40 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -196.5 and -0.4.\nAnswer: 78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by (-155)\/(-10) - (-2)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x**3\/2 - 519*x**2 - 7215*x\/2 - 2028 = 0.\nAnswer: -13, -8\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -60758a?\nAnswer: -607583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 11*g**2 + g**2 + 7*g.\nAnswer: -11*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*n - 21 - 9, 3*u - 5*n - 1 = 0. Suppose -3*y + 3 = 12, -y - 15 = -i. What is the remainder when i is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/23 - 222*d**3\/23 + 6484*d**2\/23 - 17928*d\/23 + 11664\/23 = 0. What is d?\nAnswer: 1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*t = -0*j - 3, j + 3 = -2*t. Factor 9\/2*k**j - 7\/2*k**2 + 0 - 5\/2*k**4 + 1\/2*k**5 + k.\nAnswer: k*(k - 2)*(k - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -26, -48?\n\"Answer: -22*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*(17\/(-12))\/(116\/928)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -972 - -976. Let u be 5\/(210\/9)*b. Let -u - 16\/7*g + 0*g**3 - 12\/7*g**2 + 2\/7*g**4 = 0. What is g?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**3\/3 - i - 55. Let m(v) = -v**2 - 2. Calculate -5*f(o) + 3*m(o).\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 9*a + 10. Let n be h(-8). Let u = 157.64 - 157.24. What is the third smallest value in u, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/3 + 82994*v\/3 + 1722001009\/3 = 0.\nAnswer: -41497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 624059569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -97.4. Let a = 0.5 + 0. Put h, -3, a in decreasing order.\nAnswer: a, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:50 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 24, 1530, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6*b + 30 = 0. Suppose -4*m + 10 = 2. Suppose -104 = -m*t - 5*n, b*t - 2*n = 2*t + 175. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/2 - 7*b**2\/2 + 8*b + 25. Let m(i) be the first derivative of v(i). Give m(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s. Let i(d) = -2*d + 7. Let a be i(5). Let y(w) = -1535*w - 1538*w - 1536*w + 4608*w - 1. Give a*y(r) - m(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 = 18. Let o be (24\/42)\/(z\/(-14)). Suppose -38 + 10 = -o*d. Calculate the least common multiple of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = -4*g. Let q(j) = -3*j**3 - 2*j**2 - 2*j. Let m(a) = a**3 - 4*a**2 + 4*a - 7. What is the remainder when m(5) is divided by q(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14168703 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9371 is divided by 172.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21504880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2703379 <= -2703378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10184305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 - 102. Suppose k = 7*w + 6*w + 507. Sort w, -5, -4.\nAnswer: w, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2104*w**5\/5 - w**2 + 45*w - 752. Find the second derivative of g(a) wrt a.\nAnswer: 25248*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3487096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073286457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*z + 15, -4 = -3*z + z + 5*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 9:14 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:04 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 16*w - 44. Let f be d(-6). Calculate the highest common divisor of f and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 334.2 - 287. Let p = 47 - l. Sort p, -0.03, -3\/8.\nAnswer: -3\/8, p, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-10))\/((-34)\/(-32895)). Suppose i = 7*l - 5*l. Suppose 0*t - 3*t = -l. List the prime factors of t.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + b + 13, 0*x + 2*b + 12 = 3*x. Suppose x = w - 0. Solve w*k + 9 = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1805, -1750, -1661, -1538, -1381, -1190, -965?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6*b - b**2 + 42*b**4 - 4 + b - 6*b + 52*b**4 in the form z*b**3 + v*b**4 + y*b + t + c*b**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Suppose 15*q = 534 + 456. Let d = q - 63. Calculate the greatest common factor of s and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 11*h**2 + 13*h + 3. Let m be k(-10). What are the prime factors of m\/2*(-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*d + 736 + 275, 3*o + 676 = 2*d. Let u = -104 + d. Suppose 4*k = k + u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4902 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1)**2*-2.\nAnswer: -602 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkq when three letters picked without replacement from {k: 5, q: 6, p: 1, z: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4148 and 3127592?\nAnswer: 3127592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 - 21*k**2 - 13*k + 13. Let n(g) be the third derivative of -g**6\/60 + g**5\/6 + g**4\/4 - g**3 - g**2 - 12*g. Calculate 13*n(h) + 6*z(h).\nAnswer: -2*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*c**3 + 56*c - 34*c**3 + 38*c**3 wrt c.\nAnswer: 480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 + 3*k**2 + k - 4. Let n be b(2). Let f be n*-1*4\/8. Suppose -2*h - f = -47. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 244*h + 1033*h + 918*h + 72*h - 5325 + 11*h.\nAnswer: -5*(h - 355)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 + -1 - 8) + -8 + 7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005426 to six dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 8*m + 20. Let x(n) be the first derivative of -n**3\/3 - 4*n**2 - 3*n + 35. Let q be x(-3). What are the prime factors of r(q)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 96 - 147 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n + 15. Determine c(54).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h**3 + 278 - 18*h**3 + 15*h**3 + 14*h**3 + h**2 as s + q*h + i*h**3 + g*h**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -571\/8853 + 3\/227. Let i = o + -113\/78. Which is the nearest to i? (a) 2\/11 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021.2571 rounded to the nearest 10?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2 - 189*s - 1020 = 0.\nAnswer: -5, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyoy when four letters picked without replacement from {h: 3, v: 1, y: 9, i: 2, o: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-567)\/1848 + 10\/55 + 2\/8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssxsxoxxso. What is prob of sequence ooso?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 2*v + 0*v - 98 - 50.\nAnswer: -2*v - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -545*i + 1637. Let q be f(3). Solve 0 = q*o, -5*l - 153*o + 154*o - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 14*m = -5388. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3402052213 to the nearest integer?\nAnswer: 58327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 11*u**2 + 25*u - 5. Let h be v(13). Let q be (-1)\/((-93)\/h - 5). Let t(x) be the second derivative of -x**3\/6 - 13*x**2\/2 + 7*x. Give t(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-65))\/(8\/(-20))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -6*p + 91, p - 5*w - 17 = -19 + 38 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14e6 - 117ac?\nAnswer: -12ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:22 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 6*b + 6. Let w = 21 + -26. What is d(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -32. Suppose 670 = 2*s + o, 3*s + 0*o - n*o = 1005. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q + 168. Let k be f(-11). Suppose 0 = -k*b + 2*t + 12895, b - 5*t - 4299 = -4*t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) -0.4 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108.99999745 + -109. Round j to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692167211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*w + 3 - 39, 0 = -s + w + 7. Suppose -8*d = -6*d - s. List the prime factors of (6\/d)\/((-1)\/(-14)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 46*z + 973. Let j be p(-21). Solve 27 = j*y - 2*y - 4*a, -y + a = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**5 + 4*f**4 + 4*f**3 - 4*f**2.\nAnswer: -4*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138629 - -20715508.\nAnswer: 20854137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 617.8272ml?\nAnswer: 0.6178272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*z + 22, 6*v - 2*z - 38 = v. Suppose v*p = 10*p - 3540. Let i be (-4)\/(-18) - p\/(-27). What is the highest common factor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -865 + 30273\/35. Suppose 0 = 2*i, 4*i = -5*p + 2*i + 40. Suppose -c + 2*t = -9, -24 = -4*c + p*t - 3*t. Does r = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**6\/120 - j**5\/12 - 7*j**4\/24 + j**3\/6 + 37*j**2. Let h be a(-3). Which is smaller: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s - 5. Let r(x) be the first derivative of 2*x**2 + 2*x + 1. Let z(n) be the first derivative of -3*n**2\/2 - 2*n + 1. Give s*z(p) + 2*r(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 2*z**2 + 4*z - 3. Let j be w(2). Let l = j + -1. Let d = 4 - -4. Solve l*p = -0*p + d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74448, 74447, 74446, 74445, 74444?\nAnswer: 74443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -be1 + 9?\nAnswer: -bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 + -0.8. Let t = d + 0.06. What is the third smallest value in 2\/13, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19642 + 0.6189. What is n rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223\/455 + -4\/65. Factor 0 + 3\/7*u**3 + 3\/7*u**4 - y*u - 3\/7*u**2.\nAnswer: 3*u*(u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 5*f. Let n be c(4). Let v be 6\/n*(-80)\/(-60). What is the closest to -0.1 in 1\/9, 2\/11, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131.29 + -132. Round i to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.13 (c) 1\/2 (d) 0 (e) -0.75 (f) -0.301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 7 = 5*n + 11, -3*i - 10 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 101*q - 757. Let v be k(-40). Let h = 0 - -3. Solve 0 = -v*s, -h*s + 1 = -0*w - w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 + 2*u - 1. Let w be c(-2). Suppose w + 5 = 4*a. Solve 3*d = a*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 10:59 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006*d - 10670*d**2 + 10670*d**2 + 849*d + 157*d + 11*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 31 = -5*w. Let h = 218.9681 - -0.0319. Let g = h - 217. What is the closest to g in 1\/6, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28e (base 16) in base 8?\nAnswer: -1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from zzgzzzzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 2*v**3\/3 + 45*v**2\/2 + 15*v. Let f be z(-10). Suppose -2*x - 853 = -f*q, -q + x + 185 = -3*x. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200012122011222 (base 3) in base 15?\nAnswer: cb2355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -709025 - -993648. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*r + 2*p - 10, -r = p - 1. Suppose -9*y + r*y - 3*a + 2019 = 0, -2515 = -5*y - 2*a. What is the remainder when y is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 14050 = 8224. Is 100 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/15 of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:41 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awke when four letters picked without replacement from {e: 1, k: 4, a: 4, w: 1}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -2 + 1 + 3. Let v = 13 + -13.5. Which is the third smallest value? (a) -5\/3 (b) j (c) -1\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120509 is divided by 40129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 4, -11, -31, -2, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26319 is divided by 371?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9062966mm?\nAnswer: 0.0000009062966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c54b (base 14) to base 16\nAnswer: -84b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/652 and 179\/858?\nAnswer: 279708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5 - 387. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 163791?\nAnswer: 3439611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3878556 divided by 6\nAnswer: -646426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 8*x - 5615 + 5615 - 14*x. Let a(t) = -t. Calculate a(v(u)).\nAnswer: u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1367.9 + 1368. Which is greater: 1085 or n?\nAnswer: 1085","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9387 and 11.\nAnswer: 103257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-11)*m*m*(m*m**(-2\/27))\/m*m)\/(m**(3\/7)\/m**(1\/15)) assuming m is positive.\nAnswer: m**(13763\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from {j: 2, c: 9, i: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2)*657\/(-219).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 300614 - 23?\nAnswer: 300561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -43*j**4\/12 - j**3\/2 + 21*j**2 - j. Is a(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000095190598 rounded to seven decimal places?\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*c + 141*c + 3 + 131*c.\nAnswer: -4*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81\/4 - -731\/36. Let n be (-450)\/(-4725)*(-14)\/6. Is j smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*v - 10*v + 4 = 0, 3*d - 5*v + 16 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65344447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16930 divided by 16930?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*y = -92, 0 = -i + 2*y - 8 + 31. Suppose 2*s = -4, 3*l - 2*s - i - 80 = 0. Let z = l - 1. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, 9, 37, 65, 93?\n\"Answer: 28*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 + -2. Let r = -3.35 + 2.75. Which is the nearest to 1\/2? (a) z (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -1273, -1911, -2549, -3187, -3825?\nAnswer: -4463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 5*i + 5. Let y(t) = -t**2 + t. Let n(u) = v(u) + 4*y(u). Let a = -4 - -13. Determine n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6414 times -6?\nAnswer: 38484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -26032*o - 10 + 7 - 2 + 5 as k*o + g and give k.\nAnswer: -26032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 14 = 11. Which is the biggest value? (a) 3 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsssbsbstssbs. Give prob of sequence sst.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1123008 and -41\/24.\nAnswer: 1123008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 66*k - 169. Determine f(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y = -92*y - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -430165*b**2 + 2270. Let a(g) = -2276*g**2 + 12. Give -1135*a(t) + 6*j(t).\nAnswer: 2270*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(3\/2)\/f)**(12\/11))**(-47))**(-47))**7 assuming f is positive.\nAnswer: f**(92778\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 4*r + 4. Suppose -3*f + 32 = -2*f. Suppose 10 + f = 2*q. Let j(d) = -6*d**3 + 21*d - 21. Calculate q*w(y) + 4*j(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69369 - 39737 = -4*c - 2*l, -2*c - 4*l + 54562 = 0. What is the remainder when c is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 27508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66061, 130014, 193967, 257920, 321873, 385826?\n\"Answer: 63953*c + 2108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897758 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**4 + 16*g**3 - 30*g**2 - 3*g + 22. Let a(m) = -5*m**4 - 9*m**3 + 15*m**2 + 2*m - 12. Let p(u) = 5*a(u) + 3*z(u). Suppose p(b) = 0. What is b?\nAnswer: -2, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183\/4 + -46. Let r = 0.5 - 0.3. Let s = -0.81 + 0.41. What is the closest to r in b, -2\/7, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9592 and 654?\nAnswer: 28776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1151 in increasing order.\nAnswer: -3, 3, 1151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = -3*y + 3*k, -5*y + 5*k + 20 = 0. Suppose y*m - 20 = 4*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooorooo. Give prob of picking 4 o.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/81 + (-124)\/(-18) + -7. Which is the nearest to -7\/6? (a) w (b) -2\/9 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p + 3*p + 2*p + 10*p to d + m*p and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -56, -48, -26, 16, 84?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 19*x**2 + 46*x - 100. Determine a(21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6459012 by 5964.\nAnswer: -1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 16*a - 9*a - 23*a + 86*a)*(-2*a**3 - 3 + 3).\nAnswer: -76*a**4 - 58*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1349000 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 43. Let f = 18.00019 + d. What is f rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 2, c: 2, s: 9, q: 2}. What is prob of sequence sq?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*((-1)\/3 + 1). Let j(z) = -3*z - 3. Calculate the remainder when 16 is divided by j(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:16 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let l(x) = -7*x + 6. Let d(y) = -l(y) - 5*p(y). Let a be d(4). Solve 5*q + 6 = a*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three thirds of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8*u**2 - 5*u + 13*u**2 + 4*u - 2*u**3 - 23*u**2 to y*u**2 + g*u + k*u**3 + a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 339 + -268. Let f = p + -77. Let w(y) = y**3 + 1 + 2*y - y + 6*y**2 + 0*y**2. Give w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19148981 is divided by 17584.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-1) - 0 - -75.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/24 + 211455\/54. What is the derivative of -y - 102*i + 3870 - 160*i wrt i?\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -25. Let i(h) = 2*h - 3. What is the units digit of i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u + 5. Suppose a + 3 = -3*y + 19, 0 = -u*a + y + 8. Suppose -a = -5*m + 6. Solve -j = j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192092.\nAnswer: 2, 48023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 26 = 4*s, 5*s + 3*b + 30 = 8*s. Suppose 0*i - 22 = -i. Calculate the remainder when i is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1220429009 to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 162 = 26*b, 3*n + 5 = 4*b + 20. What is the nearest to 0.2 in -222, -3\/5, n?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/15 + -4 + 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -110080 divided by -64\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = n - 21. Factor 130*f**n - 261*f**3 - 4*f**2 + 129*f**3.\nAnswer: -2*f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((150\/(-20))\/15)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 65*u + 5*u**2 - u**3 - 60*u + 6 + 0*u**2. Let o be d(6). Let r be (o - 3)\/(-3) - (-2 + -61). What is the greatest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -447224 divided by 111806\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 433, -21, -3, 3 in ascending order.\nAnswer: -21, -3, 3, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9025703 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 315*p**2 - 10*p + 218*p**2 - 534*p**2 - 8. What is d(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 7*i**3\/6 + i. Let b(c) = -c**2 - 16*c - 15. Let r be b(-15). Let q(p) = r*p + 0*p + 2*p - 3*p. Determine w(q(z)).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 - 18\/(-5). Let q be -2 - -10 - (2 - -1). Suppose 5*d - q*l = 1 + 19, -5*d - 16 = 4*l. Solve d = 3*n + n - p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33413\/175 bigger than -192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6378.\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(16))\/sqrt(8).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23671*w**2*y**2 - 3*w**2 + 10*w*y**2 + 1258*y**2 - 389*y - 6 wrt w.\nAnswer: 47342*w*y**2 - 6*w + 10*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-8\/7)*g*g*g)*g\/((g\/(g*g**7))\/g)*g**(1\/4)*g*g**2)\/(g*g**(-11\/5)*g*(g**(2\/17)*g)\/g)**(-3\/13) assuming g is positive.\nAnswer: g**(382847\/30940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -85\/6 (b) 0.07 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 333861\/(-6432) - (-52 + 0)\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = -247 - 239. What is the lowest common multiple of (-855)\/p - -2*(-1)\/(-4) and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 2*b + 1. Let k be u(-3). Suppose z + 58 = 2*f - z, -3*z = -5*f + 141. Let a = f + -24. Sort a, k, 5.\nAnswer: k, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211\/3024930 - 23262271099\/4405810545. Let p = 2\/971 + t. Find the common denominator of p and 69\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -605 - -13913\/23. What is the nearest to 0.1 in -2, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 316 + -633\/2. What is the second smallest value in 1, 3\/2, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.26126 and -573.\nAnswer: -573.26126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (29\/58)\/(4\/11696).\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 250?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1488692790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171) + sqrt(19) + (3*sqrt(2299) - sqrt(19)))**2*1 - (-2 + (5*(1 + (sqrt(19) - 2*sqrt(19))))**2 + -4).\nAnswer: -22*sqrt(19) + 24131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.7 + -27. Let l = -0.1 + d. Let y = l - -2.3. Which is smaller: y or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (10 + 3))*-1. Solve -4*m + 2*o = 3*o - 3, -3*o = -4*m - j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104819, -419271, -943357, -1677077, -2620431, -3773419?\n\"Answer: -104817*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 19 = 2900*z - 2898*z, -12 = -4*p - 2*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r)*(2*r**2 + 0*r + 0*r) + 0*r + 6*r + r**3 - 2*r**2 - 3*r.\nAnswer: 3*r**3 - 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 35438 = 3*d - 111090, d = 5*w + 25194. Does 57 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31443119 - 31443072.000058. Let p = -2.8 - 44.2. Let m = l + p. Round m to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110100 (base 2) in base 6?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (3 + -68)) + -10.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x**2 - 3*x + 3. Calculate p(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9968\/15664 + (-2 - 2)*1 and ((-149)\/9)\/(32\/12).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*sqrt(2736)*5 + 0.\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.491764 and -4216.\nAnswer: -4223.491764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {y: 1, p: 9, k: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {a: 1, v: 1, g: 1, b: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2937823.\nAnswer: 7, 283, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 2 - 2 + 4.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 6107175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 7035 - 935653\/133. Is k at least -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1478.37 * -2\nAnswer: -2956.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2244 + -1202. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.76 - -12. Let o = -36.8 + 36.61. Let p = -0.39 - o. Is w >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3089809014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42 - 74b86?\nAnswer: -75008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 0 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 494\/117 + 2*-2. Let v = -14.9 - -12. Let l = v + 3. Sort 3, l, g.\nAnswer: l, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 56*i + 151. Let p be d(-21). Solve -5*x - 23 = 6*b - 4*b, 14 = -2*x + p*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*r - 18, 2*r = -14 + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6\/(j*j\/(j\/(j*j**(-1))))*(j*j**0*j*j)\/j**(-3\/2) assuming j is positive.\nAnswer: j**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1683 - -2361. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -24, 29898 in decreasing order.\nAnswer: 29898, 4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2521792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:26 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2250 - 2257. Let f(g) = 6*g**3 - 7*g**2 + 45. Let d(q) = -4*q**3 + 5*q**2 - 30. Determine o*d(m) - 5*f(m).\nAnswer: -2*m**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swso when four letters picked without replacement from {o: 3, w: 1, d: 1, s: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 381.\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x - 27 = 0. Let s(a) = 12*a**2 + a**3 - 3 + 5*a - x*a + 6*a. Is s(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11039 + -7228. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750783 - 750783 + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 22*o - 18. Suppose 8 = -g + 4*c, g = o*c - 4 - 2. Is g at least as big as -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/28 - (114\/(-14) + -1). Suppose 4*q - z*q = 0. Determine h so that 37*h + 283 + q*h**2 - 91 + 11*h + 3*h**2 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348 - -488. Let f be 6\/(-9)*3 - x\/(-69). Is f equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(567) + 4*(sqrt(567) + 2*sqrt(567)) - sqrt(567)))\/(((3*sqrt(90) - sqrt(90))\/sqrt(2))\/sqrt(5)*2).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643747?\nAnswer: 13, 23, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -789\/1435 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 2. Let v = 35 + -25. Let m be i(v). Is -7 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 92. Give a(2).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkxllaf. What is prob of sequence lf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776161 less than 1776164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -212 - 264?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - o = -2*o + 10, 5*j - 40 = 5*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 40. Solve q + 3 - n = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29 (b) 0.1 (c) -3 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7 + 3*m + 2 - 1. Let g be y(4). Suppose -g*z + 82 + 38 = 0. What is the highest common factor of 80 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45837?\nAnswer: 3, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 - 3057 = -110*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxxxjxjjxjxx. What is prob of sequence xjx?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m. Let d be ((-4)\/(-6) - m)\/2. What is the biggest value in d, 3, 3\/4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1 = 46. Let h(m) = -8 + 7*m + s - 4*m. Give h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 27 (b) 4\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 0*n + 5*n)*(15 - 6 + 12)*(0*n + 2*n + 0*n) in the form p*n**2 + q*n + w and give p.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762 = 2*w + 5*z - 753, -5*z = -w + 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0 - 55*u**2 - 1\/32*u**4 + 0*u**3 - 9\/896*u**8 + 0*u + 7\/160*u**5 - 1\/80*u**7 + 11\/320*u**6. Find v, given that g(v) = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + m**3 - m**2 - 4*m**3 + 4*m**3 + 2*m**3 + (2*m + 2 - 2)*(-7*m**2 + m**2 + 2*m**2) + 2*m - 9*m**3 - 2*m.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18992 and 136208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71.257 + -72.6. What is c rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136700, -136706, -136712, -136718, -136724?\nAnswer: -136730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -1\/7, 40, 0.074?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*n**3 + 0*n**2 - 4\/3*n**4 - 2\/3*n**5 + 0 + 0*n = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 203655*n**2 - 7133880*n + 6930220.\nAnswer: 5*(n - 34)*(n - 1)*(n + 40766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17518088 divided by 5684\nAnswer: 3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -25. Let v be 2*(10 - (-1 + -2)). List the prime factors of (-2)\/p - (-602)\/v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**6\/40 + 147*z**5\/80 + 101*z**4\/16 + 51*z**3\/8 - 1786*z. Factor c(o).\nAnswer: -3*o*(o - 51)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -39 + 15. Solve 0 = 5*i - a - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 974881*k**4 + 36*k**2 + 32177018*k - 2 wrt k?\nAnswer: 11698572*k**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 50*c. Let y(t) = 14*t**2. Give y(f(n)).\nAnswer: 35000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, 1 q, and 1 h when four letters picked without replacement from {q: 2, b: 4, v: 1, d: 6, u: 4, h: 3}.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 4*i + 3\/2*i**2 - 1. Determine d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1892477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 789544?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -25 + m - 29 + 47. Suppose 0*n = -3*n + 9. Give y(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = -4*u, -7*s + 4*s + 6 = 5*u. Suppose -16 = -4*k - 3*y - 91, -12 = -4*y. Let q = 18 - k. Calculate the remainder when q is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96415 or 96381?\nAnswer: 96415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6551 - -6630. Calculate the greatest common divisor of 9717 and g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s**2 - 2*s - 4. Let r(b) = 7*b**2 - b - 2. Let d(p) = 13*r(p) - 6*w(p). Let o be d(-2). Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d + 3*d + (3*d + 0*d - 5*d)*(2 + 0 - 1).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4512 = 5*s - 658. What are the prime factors of s?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.79 * 4.\nAnswer: 11.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 231, 254?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 53. Suppose 2*v - v - 7 = -4*s, -3*v = -2*s + j. Suppose -2*o = k - 153, -3 + 18 = -s*k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 84*z + 683 - 683 = 20*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1166648*b + 28. Let y(z) = -z + 1. Let i(o) = -f(o) + 20*y(o). Suppose 0 = -4*d + 3*d - 6. Let j be i(d). What is j rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 3, 11, 0.5, -19.1 in increasing order.\nAnswer: -19.1, 2\/7, 0.5, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5)*p\/(p**(2\/7)*p))**(-1\/16))**14)**(-10\/19) assuming p is positive.\nAnswer: p**(-185\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 131771 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: Which is the closest to -455? (a) -5 (b) 2\/15 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 41 + 16 = 0. Suppose h*f = p - 8, 4*f = -p + 6*f + 2. What is the units digit of 8 - (-1 - p) - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**3 + 33*n - 4 - 37*n - 7*n**3 in the form k*n + v*n**2 + x*n**3 + q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (16 - 7) + 11 + (-3 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3967833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758 + 1055 = 33*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.0419 + -0.06?\nAnswer: 53.9819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*o + 103 + 485. Suppose 17*b + 11*b + o = 0. What is the closest to 1 in 7, 5, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 74. Let l be 12\/a + 60\/14. What is the highest common divisor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4291.\nAnswer: 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -413 - -198. Let s = -208.48 - q. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -46, -133, -264, -439, -658, -921?\n\"Answer: -22*l**2 + 23*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 141*c + 141. Give y(-48).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r + 2. Let t be u(-2). Suppose t*f = -39 + 127. Calculate the least common multiple of 12 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 2*p**2 - p - 3. Let t be b(0). Let c(q) = -2*q**3 - 7*q**2 - 4*q - 4. Calculate c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 3*p + 9. Let s(j) = 2*j**2 - 4*j - 10. Give -7*q(h) - 6*s(h).\nAnswer: 2*h**2 + 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1553272?\nAnswer: 310654.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m**3 + 8*m**2 - 6*m - 12. Let o(t) be the second derivative of -t**5\/4 + t**4\/4 - t**3\/3 - 2*t**2 - 123*t. Give 3*d(z) - 8*o(z).\nAnswer: -2*z**3 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1591, 1595, 1599, 1603, 1607?\n\"Answer: 4*a + 1587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -458 (c) -139 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -0, 3*h - 105 = -3*x. Suppose 2*d - 21*d = x. Does 1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, 12, 15 in decreasing order.\nAnswer: 15, 12, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2840 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 2:19 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 19 = 15. Suppose 280 = 2*g + a. Does 3 divide g\/12 + (11\/4 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 10. Let n be m(7). Suppose -2*l + 3*l = v, -n = v + 3*l. List the prime factors of -3 + 0 - (-1)\/(v\/(-87)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/840 and -115\/504.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -0.191.\nAnswer: -1.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -96, 120 = -v - 4*w - 0*w + 64 - 136 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 48599994 = -3*u, 2*o + 3*u - 4*u - 48600002 = 0. Round o to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -295, 1, 3, -4, -13 in descending order.\nAnswer: 3, 1, -4, -13, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*p + 163, -3*f = -3*p - 108 + 279. Let w(u) = u**3 - 25*u**2 - 25*u - 55. Let h be w(26). Let t = h - f. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -5.\nAnswer: -15, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**3 - 8 + 10*q + 9*q - 3.\nAnswer: -15*q**3 + 19*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5924 - -2c29?\nAnswer: -2bea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1360)\/24*(-18)\/15*(-2)\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 43. Suppose -t - 89 = -3*l, 4*t = -2*l + l + 8. Let m(b) = -l*b - 25*b + 52*b. What is s(m(v))?\nAnswer: 2*v**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is -60263 bigger than -60262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 270*c + 1352. Determine a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/70)\/(3\/5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 4343?\nAnswer: -4340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*t = 208*t - 4*w, 2*t = 3*w. Is 18\/59 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3 - 1 = -z, 6*p + 5445*z - 57 = 5442*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113208.\nAnswer: 2, 3, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/76 + 4\/(-8). Let a = -7 + 6.5. What is the nearest to -0.1 in -2, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + r**2 - 1. Let u(i) = -5*i**2 + i + 11. Let g(k) = 5*k**2 - k - 10. Let m(s) = 6*g(s) + 5*u(s). Let n(y) = -m(y) - z(y). Determine n(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = -12. Let u(o) = o**2 - 9*o + 8. Let d(i) = 3*i**2 - 19*i + 17. Let a(h) = 3*d(h) - 7*u(h). Is a(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20251096 less than 14133?\nAnswer: -20236963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**2\/2 + 1. Let a(o) be the third derivative of -o**4\/8 - 8*o**2. Calculate h(a(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = p + 2. Suppose 2*k - 2*z = -0*k - p, -9 = 2*k + 3*z. Let c be (-7)\/26*(3 + 5*k). Are c and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 658\/135 - 88\/1188. Sort b, 0, 1 in descending order.\nAnswer: b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -342 + 727. List the prime factors of x.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -17 - (-24)\/(6 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*j - 2*j. Let n be 3\/j - 1\/2. Let w(m) = -8*m - 21. Let u be w(-3). Which is the nearest to u? (a) -4 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36279775 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 57 = -f, 792*f - 793*f = -4*u + 46 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52271285 and 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-3) + ((-50)\/(-4))\/(-5). Which is the nearest to 2\/3? (a) 1.7 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5.76, 2\/5, -3\/49?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 275*o. Let l be t(-1). Let d = l - -462. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 - (-18)\/27. Suppose 4*i + p*i - 72 = 0. What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**3\/3 + 11*j. Let u(g) = 7*g**2 - 4*g. Give h(u(b)).\nAnswer: -14*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) 0.1 (c) 1\/9 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(288) + sqrt(2) + ((-3 + sqrt(98))**2 - sqrt(2)).\nAnswer: -54*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, 1, 5 in decreasing order.\nAnswer: 5, 1, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u - 2. Let k be m(-1). Suppose -k*r + 18 + 42 = 3*c, 0 = -c + 5. Solve -s = -3*b + 6, -2*s + 1 = -4*b + r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3)*(-408 + 50*a**3 + 408).\nAnswer: 200*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22650)\/3020*(4\/265)\/(-2). What is the biggest value in b, 0, -2, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 656 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2057) - -3*sqrt(17)*1.\nAnswer: -19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**3 + 2*p - 2*p - 59*p + 9*p**3 + 59*p + (-2*p**3 - 1 + 1)*(5 - 6 + 2) - 2*p**3 + 5*p**3 - 4*p**3 + p**3 - 1 + 1.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 9*l + 3. Let d be w(-9). Let o be 2430\/(-216)*(8\/d)\/(-1). Calculate the greatest common divisor of o and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 62, 58, 52, 44, 34, 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*(sqrt(88) + sqrt(22)))\/(sqrt(44)*-3))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 + 2 + 14*y**2 - 24*y**2 + 0*y**3. Let k(c) = -3*c**3 + 11*c**2 - 3. Let s(v) = -2*k(v) - 3*x(v). Find the third derivative of s(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -375*n + 338*n + 518 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1980 and 650320.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - 33 - (35 + -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2 - 4*a**3 + a**2 - a**2 + 7*a**3 + 0 + 2*a**2 + 2*a. Let b be (4\/6)\/((-1)\/3). Let h(i) = 3*i**3 + 2*i**2 + 3*i - 3. What is b*h(d) + 3*k(d)?\nAnswer: 3*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 0\/(4\/8*-6). Suppose -6*f - d*f = 338. Let l = 74 + f. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -165762 to the nearest 1000.\nAnswer: -166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 13. What is the lowest common multiple of 20 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 212346\/(-1 - -3)*(-10 - (-340)\/51). Round h to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 976, 1827, 2678, 3529, 4380, 5231?\nAnswer: 6082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3437112 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -81412?\nAnswer: -81408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(1\/3))**(-14)*(k*k*k**(-1\/3)\/k*k*k*k)\/(k**(3\/2)\/k))\/(k\/(k*k**(-1\/6)\/k*k)*k*(k*k\/((k*(k\/((k**6*k)\/k))\/k)\/k))\/k)**(3\/11) assuming k is positive.\nAnswer: k**(-349\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = -50. Let z = h - -14. Let k(s) = 3*s - 4 + z - s. Let d(g) = 20*g. What is d(k(b))?\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 5*l + 15, -5*y - 8919*l = -8922*l - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 6*(0 + sqrt(171)))**2 - (2 + sqrt(1900) + -2)) + -2.\nAnswer: -10*sqrt(19) + 8377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117654825.069965 + 117654188. Let o = -635.37 - r. Let q = 1.7 - o. Round q to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 33805319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {w: 1, a: 1, o: 1, l: 2, p: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -415. Let d = -50137.69 - -50550. Let g = d + a. Round g to one decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/((-200)\/(-15)))\/((-9)\/60).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 14608*o - 2273355. Calculate a(-154).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i - 1859*i**3 + 11*i**2 - 14 + 3720*i**3 - 1862*i**3 + 4. Calculate b(9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -5d?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r + 40*m + 26*m - 26*m + 475 = 53*r - 76*m, 0 = 2*m + 8 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.910813 tonnes to nanograms.\nAnswer: 910813000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/5)*n**21*(n\/((n\/(n**(9\/2)\/n*n))\/n))\/(n*n**3) assuming n is positive.\nAnswer: n**(217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/7 - 22164864*c\/7 - 30705074758656\/7.\nAnswer: -4*(c + 2770608)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 784 - (23 - 29). Let x = b - 8666\/11. Find r, given that x*r**3 + 4\/11 + 0*r**2 - 6\/11*r = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 - 5*g. Let k(b) = -b**2 - b. Let d(v) = -2*v - 3. Let i be d(-2). Let h(u) = i*s(u) - 5*k(u). Let l(m) = 3*m. Determine l(h(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -9204 (c) 23 (d) 5 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 8*h - 81. Suppose -4*l = h*l - 26. Solve 5*s + 6 = l*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -115.4. Let u = y + -16. Which is the nearest to 0.1? (a) -1 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(78)*6*-2*-1)\/(((sqrt(504)*1)\/sqrt(12))\/(sqrt(77)\/(sqrt(11) + sqrt(44)\/sqrt(4)))))**2.\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -24*v + 360. Let i be p(14). Solve -i*n = -8*n + 48 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbfbbbofba. What is prob of sequence bb?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {b: 16, s: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose -4 = -2*i + 2. What is the third derivative of i*k**3 + 2*k**y - 3*k**3 - 2*k**4 + k**4 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:37 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 320*u + 5112. What is o(61)?\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1 = -j, -2*c - j + 0 = -1. Suppose 5*n - 2*n + 12 = c. Is (35\/4)\/((-1)\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384767796 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbvbbwovcvcwr. Give prob of sequence cv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**4 + 9*o**4 + 8*o**4 + (-2*o - 3*o + 2*o)*(o**3 + 3*o - 3*o) - 2*o**4 - o**4 + 5*o**4 to the form t*o**2 + a*o**3 + j + k*o + x*o**4 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:06 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 4*n - 4. Let x(c) = -2*c**3 - 5*c - 5. Suppose -5*l - 22 = s, 0 = 3*l - 3*s + 7 - 1. Determine l*x(d) + 5*v(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12451*u + 86590. Calculate y(-7).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-605)\/22))\/(8\/30)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 368317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgpel. Give prob of sequence epe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37, 2, 1159, -0.28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 5*g + 1. Let h be d(-5). Suppose 81*u = 88*u - 574. What are the prime factors of u + 5 + h + -5?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*l + 2*y, 303*l - 308*l - 15*y + 205 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34006650 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 7623?\nAnswer: 7636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28924594?\nAnswer: 2, 2129, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*4\/(-8)*0. What is the closest to 0.1 in t, -0.5, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83965595 to the power of 1\/2, to the nearest integer?\nAnswer: 9163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*d = -315 + 90, 5*d = 4*g - 273. Let s = -3910 - -39161\/10. Calculate the common denominator of s and (-106)\/g + 7\/(-63).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 2 + 2 - 6*c + 3*c + 2*c - 3 + 3 - c + (1 - 3 + 1)*(2 - 2 + c) + c - 1 + 1)*(-71*c**2 - 11*c**2 + 9*c**2) as r*c**2 + v*c**3 + h + j*c and give v.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 132, 270, 422, 594, 792, 1022, 1290?\n\"Answer: h**3 + h**2 + 128*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let n(f) = -5*f**2 - 5*f + 3. Let m(d) = 5*i(d) - n(d). Let b be m(-2). Suppose -5*v + b = -y, 0 = -4*v + 2*v + 10. Solve -y = r - 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3414173041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -761 + 761.4416. Round r to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(-14)*k**1\/(k\/(k**(2\/7)\/k*k*k*k)) assuming k is positive.\nAnswer: k**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63002.143 and 0.01.\nAnswer: -630.02143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 2*a**2 + 2*a + 2. Let q be y(2). Suppose 3 + q = 3*i. Suppose i*w = w + 24. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 14*j + 28. Let m be h(-6). Is (-20285)\/m*(-8)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9124216 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 + 41*q - 25. Let l be f(17). Suppose 8*a = 2*a + l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3458 and 15945826?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 4*r + 1. Let c be k(4). Suppose p = c + 4. Suppose -p*d + 42 = 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 156350837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 4 = 3*l. Let o(p) = -7*p - 59. Let j be o(l). Let a be (j\/2 - -2)*0. Is 2\/189 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-25))**42)**(1\/43))**(-40))**(-34\/3) assuming v is positive.\nAnswer: v**(-476000\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-200))\/((-3)\/(30\/(-4))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784747211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + sqrt(117)*-4 + sqrt(117) - sqrt(117)))*1)\/(5*(3*sqrt(9) - sqrt(9))).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15*2\/(-6) + (0 - 3). Suppose -4*v + 2 - r = 0. Find the second derivative of 18*l**4 + 0*l + v*l**4 - l - l wrt l.\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1427831 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-128)*(1715\/1225 - (-242)\/(-180)). What is the third biggest value in m, 3, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(26\/(-4) - -6). Suppose -g - a + 4 = 0, 0 = 5*g + 4*a - 0*a - 16. Solve 0*f = -z*f + 4*p + 8, -4*f - 3*p + 16 = g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 0*y**4 + 1\/60*y**5 - 2*y**2 + 4 - 2\/3*y**3 + 0*y. Let b(f) be the second derivative of q(f). Calculate b(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-14))\/((-6)\/14). Solve 2*j = -o*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 6*x - 4*x - 15, 0 = -4*t - 20. Let h be ((-288)\/45 + 6)*x\/58. Sort -2\/9, -0.4, -3, h in increasing order.\nAnswer: -3, -0.4, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*-4 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(10*13\/(-1300)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1024 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -525*b**3*f**2*l - 4*b**3*x - 26*b**2*f**2*l*x**3 + 2*b**2*f*l*x**3 + 18*b**2*l*x**3 + 4*b**2*x**3 + b*f*x**2 - 2*l wrt f?\nAnswer: -1050*b**3*l - 52*b**2*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 485340 by -485340.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*a - 17, 3*z = -5*a - 2 + 5. Suppose 3*f + 472 = a*d - 101, f - 5 = 0. Is 62 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/9 - 658*h**4\/9 + 35932*h**3\/9 + 2928580*h**2\/9 + 5761938*h + 30855006 = 0?\nAnswer: -23, -13, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-49))\/((-42)\/(-147))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/11)*r*r**(-13))\/(r\/(r\/((r*r*(r*r\/(r*(r\/(r\/r**(2\/5)))\/r)*r)\/r*r)\/r)))**(-8))**(-31) assuming r is positive.\nAnswer: r**(-30659\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -120, -385, -902, -1755?\n\"Answer: -14*p**3 + p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -329 - -1957\/6. Calculate the common denominator of 69\/2 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 20 = -4*s + 8*j, -4*s - 5*j = -32. Sort 2, s, 0, -74 in ascending order.\nAnswer: -74, 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -3 + (-2)\/(4\/(-202))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73448382 is divided by 1886?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 58*t**2 + 42*t - 153. List the prime factors of c(61).\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*b + 12 - 3, 0 = 2*b - 3*x - 21. Let i(g) be the first derivative of -g**3\/3 + 5*g**2\/2 - g + 291. Determine i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.76, -1.2, 0.4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54154*x**5 - 795*x**3 - 1151434020*x**2.\nAnswer: -3249240*x**2 - 4770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3784*q - 3785*q + 6 + 19*q**4 + 7*q**2)*(0 + 0 - 1).\nAnswer: -19*q**4 - 7*q**2 + q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -5*f - 2*x + 5, 2*x - 2 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let h(z) = -z**2 + 12*z - 12. Let p be h(9). Suppose 5 = 4*s - 0*m + m, 5*m + p = 0. Let v(n) = s*n - 2*n - 4*n + 8*n. Determine v(q(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqqzzzzzz. Give prob of sequence qq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -321, -4, -39 in decreasing order.\nAnswer: -4, -39, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6*x - 56. Let o(v) be the first derivative of v**3\/3 + 3*v**2 - 2*v + 1. Calculate the remainder when x is divided by o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 5, -0.5, -3\/10.\nAnswer: -8, -3, -0.5, -3\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2 + (-426)\/71?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -99, -112, -125, -138, -151?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 8:18 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -49 + 18 + -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-3\/10))\/i*i*i)\/((i*i**(-10)\/i*i)\/i)*(i*i**18)\/i**11)**1 assuming i is positive.\nAnswer: i**(207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 82 and -2.72?\nAnswer: -223.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 38993 * -5\nAnswer: -194965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**5\/(v\/(v\/((v\/v**(-2\/7))\/v*v)))**5 assuming v is positive.\nAnswer: v**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3187 - 0?\nAnswer: 3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2 - w - 1. Suppose 1 = 51*a - 50*a. Let p(j) = 3*j**3 + 2*j**2 - 2. Determine a*p(d) - 2*r(d).\nAnswer: d**3 + 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*p**2 - 1)*((-2 + 2 + 2*p)*(3*p - 2*p - 3*p) + 0 - 3*p**2 + 0 + (-5*p**2 + 0*p**2 + 2*p**2)*(-3 + 6 - 2)).\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2305609?\nAnswer: -2\/2305609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5843969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**4*q**3 - 32*d**4 - d*q**3 - 290*q**3 wrt d?\nAnswer: -4*d**3*q**3 - 128*d**3 - q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -20141*g. Let v(o) = -7017*o**2. Give d(v(q)).\nAnswer: 141329397*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 38. Let p = 25.3914 + -0.1114. Let v = x + p. Round v to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k*t**4 + 3452420*k - 1273050*t**4 wrt t?\nAnswer: -4*k*t**3 - 5092200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*m - 370, -c + 3*c - 370 = 5*m. Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(242) - 5*sqrt(242))**2 + sqrt(242).\nAnswer: 11*sqrt(2) + 3874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 10*v - 4 + (1 + 0 + 3)*(-179 + v + 179))*(-3*v**2 + v**2 + v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1011*i - 1012*i + 4*s - 22, -3*i - 10 = -4*s. Let g(p) = 1. Let c(j) = -3*j**2 - 7*j + 4. What is i*g(y) - c(y)?\nAnswer: 3*y**2 + 7*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let z be (-1)\/s*9*-6. Let t be -4625*(-3 - z\/5). What is t rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 16*l**2 + 46*l. Let w be y(-19). Calculate the greatest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-555)\/198*585\/78 + 21?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(((496\/279)\/8)\/(250\/45)).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:51 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, h: 2}. What is prob of picking 2 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (-1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 753 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*((-962)\/36 - (-8)\/36). Suppose 38*k + 395 = 33*k. Let i = k - f. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 10*r**2 - 10*r - 4. What is s(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 21*p + 62. Give u(-20).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-226)\/6 + (-72)\/(-108). Calculate the remainder when (o\/111)\/(-2 + 2386\/1194) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/60 + 11*j**4\/24 + 5*j**3\/6 + j**2. Let t(k) = k + 11. Let l be t(0). Let u be x(l). Solve u*w + 0 + 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 11*d**2 + 10*d + 12. Suppose v - 3 = 7. Let m be q(v). Suppose m*z = 7*z - 5500000. What is z rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 4*o**3 - 4*o - 2*o.\nAnswer: -4*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 w when four letters picked without replacement from {w: 3, n: 1, k: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 348 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b284 (base 13) to base 6.\nAnswer: -30140310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 433 - 5?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**3 - 19150*r**2 + 1242760*r - 2408960 = 0.\nAnswer: 2, 64, 3764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 22 = -5*a, -3*a + 2*a = 2*d - 8. Suppose 0*t - 5*t = -5*m - 230, 12 = 3*m. Suppose 2*q - 7*q + t = -5*w, -d*w - 3 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(33\/(-9))\/11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0)*-6 + sqrt(108) + sqrt(108) + (sqrt(108)*2)**2 + 2 + -1)*4.\nAnswer: -96*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by ((-231)\/12)\/7*-4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 23*u**3 - u**2 + 15*u + 16. Give q(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9911604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-40)*(-2)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 0 + 14)*(22*y + 7*y + 0*y).\nAnswer: 841*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*i - 38*i + 17*i)*(-6*i + 56*i + 39*i) to p*i + c + t*i**2 and give t.\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9831 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {q: 8, v: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**4 + 4*t**3 + t. Let l(v) = -392*v**4 - 20*v**3 + 3*v**2 + 2977*v. Let r(n) = 5*j(n) + l(n). What is the second derivative of r(d) wrt d?\nAnswer: -4584*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2*o**3 + 69. Let a(c) be the second derivative of -c**3\/6 + c. Determine a(y(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {z: 2, f: 1, d: 1, p: 1, i: 2, n: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 - 2*h**2 + h - 2. Let i be d(3). Let u = i + 183. Solve -28 = 8*g - u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 3168?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-2))\/g)**(-36)*g**2\/(g*g**(-9\/4)))**47 assuming g is positive.\nAnswer: g**(-12925\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6149.8 + 6150. Sort 0, b, 0.7, 1 in descending order.\nAnswer: 1, 0.7, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 14 = 26. Let l(c) be the first derivative of 0*c**4 + 0*c + 4 - 1\/5*c**5 + t*c**2 + 0*c**3. What is the second derivative of l(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c = -63. Let b = c + 21. Solve -4*j + b = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 times 0.2?\nAnswer: -104.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 25. Suppose -g*b = -9 - 9. Suppose 9*y - 402 = b*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 7*t - 50 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 76.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/4 + 8*u**3\/3 - u**2\/2 - u - 3. What are the prime factors of q(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21100101 (base 3) to base 2.\nAnswer: 1010011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766144 is divided by 113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:58 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-7\/3))\/t*t*t\/((t*(t\/((t\/(t\/(t\/t**(3\/11))*t*t))\/t))\/t)\/t))\/(((t*t*t**(-1\/6))\/t)\/t**(-8)) assuming t is positive.\nAnswer: t**(-755\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4175 - -7595. List the prime factors of l.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2) + (-15 - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -321, -536, -749, -960?\nAnswer: -1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0*d**(-4))**(2\/113) assuming d is positive.\nAnswer: d**(-6\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 1 + 1)*(-2 + 0 + 0)*(-1 + 1 + j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 8:03 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.6925 * -532\nAnswer: 368.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181.2 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.62 and -4.09?\nAnswer: 3.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(68)\/sqrt(16))**2*5.\nAnswer: 20*sqrt(17) + 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*c = 203964 - 200376 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 2. Let w(q) = -7*q + 5. Let i(l) = -10*d(l) - 4*w(l). Let o(s) = -5 + s + 5. Give -6*i(p) - 14*o(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and 1.1.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 4) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 20*w**2 - 59*w - 1479. Let a be l(-19). Solve h + a = 3*c + c, 5*c + 9 = -3*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 11 = -5*a - 4*x, -5*x - 44 = -4*a. Suppose -o - 3*o = -a. Solve 3*q - o + 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -150*w - 2057. Let y(i) = 8*i. Give y(l(u)).\nAnswer: -1200*u - 16456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 700670549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12)*-1*6).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4742632 * 0.1.\nAnswer: -474263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z**2 - 23*z**2 + 59*z**2 - 5*z**3 - 16*z**3.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7184927 divided by 1439.\nAnswer: -4993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 2*q - 5, -5*h - 4*q - 145 + 144 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98831*z - 143757*z + 60570*z - 93810*z.\nAnswer: -275828*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 88299093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -114, -97, -80?\n\"Answer: 17*l - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233 a factor of 663673473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7*x + 14 = 4*x, 2*q - x + 12 = 0. Which is the closest to 3? (a) 3 (b) 0.1 (c) q (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.5 (c) 2\/17 (d) 4\/11 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 50\/17, 3, 0, -19746, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4 - 2)) + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2. Let r(v) = v**3 + 11*v**2 + 3. Let q be r(-11). Let c(s) = 5 + q*s**2 - 3 - 2. Determine f(c(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12) + (-26)\/(-78))*(-76)\/(-133)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2.173 (b) -111\/7 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1226 + 1946. Calculate the greatest common divisor of g and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, -2\/19, 2\/5, 12.\nAnswer: -2\/19, -2\/49, 2\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*s**3 + 541863*s - 522115.\nAnswer: -24*s**2 + 541863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 4*v = 4758, 4782 = 5*f + 4*v. Calculate the remainder when f is divided by 237.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 351\nAnswer: -14\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + 1.82. Let s = -1.7 + u. Sort s, 3\/7, 0 in ascending order.\nAnswer: 0, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6896, 11485, 19134, 29843?\n\"Answer: 1530*l**2 - l + 5367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 39*8.7\nAnswer: 339.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-61)\/44 + (-30)\/(30\/(-3)) and -8\/231?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 15 = 3*f + 58, 18 = -f - 3*v. Let g be ((-4)\/f)\/((-2)\/(-3)). Let c = -30 + 20. Sort g, -0.5, c in increasing order.\nAnswer: c, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1608447 by 7.\nAnswer: 1608447\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 33. Let x = 633594 + -633601. Put -3, x, k in descending order.\nAnswer: k, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + 0 + 4 + 6 + -2 + (-222 - -226)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, y: 1, j: 2, i: 1}. Give prob of sequence dyjj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/12655026 and -61\/513.\nAnswer: 37965078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 131. Suppose -1558 = -3*d - c*z + 1381, -d - 2*z = -981. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457.33 rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -42. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3060 - 101.\nAnswer: 2959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -6, -12, -16, -18?\n\"Answer: w**2 - 11*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1585, -5929, -13029, -22885, -35497, -50865, -68989?\nAnswer: -89869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35938526821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*(-455)\/(-117)*30\/7\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 50 = -45*d - 88 + 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -707390 + 707280.00077. Let i = -110 - y. What is i rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 + 243. Sort 2\/5, g, 0 in decreasing order.\nAnswer: g, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8215692 and -79\/2898?\nAnswer: 172529532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/12 - (-46)\/28?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -657, -675, -719, -801, -933, -1127, -1395, -1749?\nAnswer: -2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 218.7043 to 0 decimal places.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(539)*-2)**2 - (5 + -2 + sqrt(176) + (-1 + sqrt(275) + sqrt(275))**2 + sqrt(275)))*-5.\nAnswer: -37625 - 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22569688891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 2\/9, -2\/7, -23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + ((-8)\/(-6))\/(-65 + (-1251660)\/(-19260))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2841 + -1720. Let z = 2338 - a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -74, -165, -310, -527, -834, -1249, -1790?\nAnswer: -2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 10:29 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (554 - 263 - 279 + 4*q)*(-4*q + 4*q - q**2 - q**2 + q - q + (0 + 0 - 1)*(-3*q**2 - q**2 + 2*q**2) + 2*q**2 - q**2 + 15*q**2).\nAnswer: 64*q**3 + 192*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3022?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2182 - 23. List the prime factors of b.\nAnswer: 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9) - (-55)\/(-198). Is 507 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 4)\/((-4)\/(-132)). Let m be 8\/(-10)*(1 - y\/6). Let r be 20\/35*m\/(-4). What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 17 = -19. Suppose -8 = -u + 3*p, 2*u + 4*p + 16 = h*p. Which is smaller: u or -21\/4?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.48? (a) -2\/3 (b) -0.04 (c) -0.4 (d) -27.4 (e) 2\/3 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, -2, 3, 1 in increasing order.\nAnswer: -2, -1, 1, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 - 4*f**2. Let r(g) be the first derivative of -g**3\/3 - 12. What is 4*r(s) - x(s)?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 90. Suppose -10*h + u*h = 0. Suppose -3*r - 5 - 1 = h. Which is bigger: -20\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + -0.2. Let x = g + -1. Let j be 6\/(-16)*(-8)\/12. What is the second smallest value in 1, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76.16 - 76.088032. What is m rounded to four decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 + 713*m + 1. Let k(c) = 437*c**2. Give t(k(z)).\nAnswer: -572907*z**4 + 311581*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*i**2 - 2*i**2 + 0 + 2 to z*i**2 + s*i + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 + 9700*f**2 - 38752*f + 38736 = 0. What is f?\nAnswer: 2, 2421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 21) + 36 + (-44 - -60)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 12*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1275 and 1346 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1195.684 and -90.\nAnswer: -107611.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 10*s**2 - 8*s - 5. Let h be q(9). Suppose h*b - 10 = 2*b, -b = -m - 66. Let j = m + 114. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5243*y + 4*y**3 + 3*y**3 + 5 - 7 + 5*y**3 + 5243*y - 5*y**3.\nAnswer: 7*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6176*x. Let b(f) = 833*f. What is z(b(p))?\nAnswer: 5144608*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggi when three letters picked without replacement from rgigriiggg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-1) - 0\/2. Suppose x - 2*x - h + 11 = 0, 5*h + y = 4*x. Suppose 0 = 2*b - 65 + x. What is the highest common factor of b and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evef when four letters picked without replacement from lelrlrllrlveleef?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*o**2\/8 - 2675265*o\/4 + 148626 = 0. Calculate o.\nAnswer: -198168, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 31*d - 7*d)*(-11 - 16 - 8 + 1).\nAnswer: -578*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*z**5 - 4*z**2 + 4*z**4 + 5*z**4 - 9*z**4 wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 - b + 9. Let q be o(3). Suppose q*v = 2551 + 8873. What is the greatest common divisor of v and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2152 + 423373?\nAnswer: 421221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:47 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**25\/k)\/(k\/(k*k*k**44*k))*(k*k**21)**(-31) assuming k is positive.\nAnswer: k**(-612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 4*w**2 - 4*w**2 - 13*w**2 to i*w**2 + u*w + x and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 6:24 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20378 divided by 11?\nAnswer: -20378\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -19, -18, -17?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 4*h + 5*f, -3*h - 147 = 2*f - 377. Let y = h - 64. Suppose 0*s = -2*s + y. What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/81 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 13) to base 7\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 189\/31, 3, 0, -3, 9 in decreasing order.\nAnswer: 11, 9, 189\/31, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 2*sqrt(7)*-1)*4)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2401.71 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:40 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hheeoooeoeho. What is prob of picking 3 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -90.52.\nAnswer: 452.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15091, 15167, 15243, 15319?\n\"Answer: 76*h + 15015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 3*r**3 - 6*r**3 + 16 + r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6433 divided by 349.\nAnswer: 6433\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22240078723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-14))\/(8\/(-464))*7.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 25. Suppose -4*l + a*x + 84 = 3*x, 0 = 2*l - 4*x - 42. Factor 2*o**4 - 4*o**4 - 3*o + 8*o**3 + 4*o**2 - 18 - l*o.\nAnswer: -2*(o - 3)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36423549, 36423545, 36423537, 36423525, 36423509, 36423489, 36423465?\n\"Answer: -2*s**2 + 2*s + 36423549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5\/9 + 208*p**4\/9 - 976*p**3\/9 + 1720*p**2\/9 - 1324*p\/9 + 376\/9 = 0.\nAnswer: 1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 13*t - 10*t - 4037, -5*h - 2723 = -2*t. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 - (52 - 27 - 18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 + 556\/6. Let g = -739\/8 + s. Let t = 0.05 - 0.55. What is the second biggest value in g, t, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let w = 6829\/11 - 621. Which is the biggest value? (a) d (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 62 = c, 0 = 3*c - t - 0*t - 221. Let h(y) = -36*y + c*y - 38*y. Let a(u) = -143*u**2. Determine h(a(p)).\nAnswer: 286*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 2. Suppose -3*v - 21 = 3*s, 0 = 2*s + v + 2 + 8. Put k, -2\/15, s in increasing order.\nAnswer: s, k, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 2*y**2 + 4*y - 2. Let c(o) be the second derivative of -1\/10*o**5 - 5\/6*o**3 + o**2 - 1 - 7*o + 1\/4*o**4. What is -2*c(z) - 3*g(z)?\nAnswer: z**3 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14017 + 145997. Round w to the nearest one thousand.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22916591323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63020.87kg to tonnes.\nAnswer: 63.02087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 13 = 5*x - 5*d, d - 1 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11 from 0.137433.\nAnswer: 0.027433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n = 57*n + 3078. Calculate the greatest common factor of n and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1760 and 36960.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 54. Solve c - 6 = -3*g, -4 = -4*c + 2*g - d*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/3*19\/(-7)*1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 2. Let z be 1 - -3*v\/3. Solve -16 + 4 = z*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -5, -3, 41, 0.007, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 7:55 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -39. Solve p + 3*h = -5 + 13, 3*h = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -274, -415, -558, -703, -850?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b (base 15) in base 10?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1700074 - 18685189\/11. Let u = -1422 + f. Suppose 7*o - 4*o + 4*d + 14 = 0, -10 = 5*d. Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-28) - 5)*((-8)\/4 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjrj when four letters picked without replacement from jrjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -2\/9, 1\/4, -3\/2 in increasing order.\nAnswer: -10, -2, -3\/2, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3672660?\nAnswer: 2, 3, 5, 61211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + p**4)*(32 + 141*p - 32).\nAnswer: 141*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 6*n**2 + 3. Suppose 0 = -0*l + l + 1. Let p be 9\/(l\/((-8)\/12)). What is the remainder when 6 is divided by r(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 2. Let y be 2\/(-12)*2*3. Let w(z) be the second derivative of z**3\/6 + z**2\/2 + 3*z. Determine y*q(u) - 3*w(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + r. Let l(p) = -10*p**2 + 5*p - 106. Determine -6*b(g) + l(g).\nAnswer: 2*g**2 - g - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 5*y - 4. List the prime factors of n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.033 and -0.5?\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*m + 55, -4*m + 4 + 48 = -4*w. Let g be ((-75)\/4)\/(w\/(-32)). Let q be (-12)\/16 - g\/(-12). Which is bigger: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k = 10*k - 30240. Suppose -418*z - 1874 = -k*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 + 291*b**2 + 290*b = 0.\nAnswer: -290, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 10 - 2*b + 7)*(-27*b + 4*b - 18*b)*(-4 + 1 + 0).\nAnswer: -246*b**2 + 492*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03452448229 to four dps.\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56471922071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.65+-0.1592\nAnswer: 0.4908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 9 - 1. Let b be 3\/(-6) - (-5)\/2. Let u be 2\/(-3) + (b - 1). Is u smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29342 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9701463?\nAnswer: 3, 191, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.204525 - -2408\nAnswer: 2407.795475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 37\/13 + 8\/52. Let c = 22 + i. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -2454101?\nAnswer: 2454042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + d + 2. Let z(c) = -5*c**2 - 4*c - 6. Let b(w) = 8*u(w) + 3*z(w). Let f be b(5). Find the second derivative of -2*g**f - g + 4*g - 4*g wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-108)\/81)\/((-4)\/6*1). Suppose c + q*c = c. Solve c = -4*r + 19 + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (530\/100 + -5)*(-10)\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324209 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: How many millilitres are there in 0.1550623 litres?\nAnswer: 155.0623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-2928)\/(-72))\/61)\/((-10)\/(-4))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 63488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 6, f: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 + -1)\/3)\/((-3)\/(90\/12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 39 = -k + 46, 5*k - 434 = -2*d. What are the prime factors of 2\/11 - (-336)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 46\nAnswer: -5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/3 - 7*t**2 + 15*t - 23\/3 = 0 for t.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -452568*c*l*y**2 - 48*c*l*y + c*l + 30*c*y - 2*l*y + 2*y + 1 wrt y.\nAnswer: -905136*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -2\/125, 3\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66631920 divided by -6?\nAnswer: 11105320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(10)\/(1*sqrt(2)) + -3)*5 + (4*(sqrt(5) + sqrt(180) + 0)*1*4)**2.\nAnswer: 10*sqrt(5) + 62690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264*a*g**3 - 2*a*g**2 + 1652*a*g wrt g.\nAnswer: -1584*a*g - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/(w**(-36)\/w)))\/w**(-32))\/(w**17\/w**(-29)))**(-40) assuming w is positive.\nAnswer: w**2000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + -57. Let o = 812\/9 + h. Suppose -5*t + y + 24 = 0, 6*t - 22 = t + 3*y. Which is the closest to o? (a) -3 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*f + 167, -o + f = 20 + 34. Let i = -48 - o. Solve -5*c + 35 = 5*h + 10, -3*h + 4*c + i = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.008 * 11.94\nAnswer: 0.09552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/13 + 256*z**2\/13 + 40*z = 0 for z.\nAnswer: -2, 0, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:47 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let f(v) = 2*v + 6*v**2 - 2*v - 16*v**2. Calculate b(f(j)).\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24190693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-443)\/(3\/45 - 0). Let r = p - -13645. What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107652, -430735, -969206, -1723065, -2692312, -3876947?\nAnswer: -5276970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w = 18. Let x be (0 + 1)*(w - -1). Suppose 2*g = -m + 10, -x*g = m - 3*g - 4. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 1394, 2, 3 in descending order.\nAnswer: 1394, 3, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**2 - l - 5. Let t be a(-8). Find the common denominator of 67\/8 and ((-2)\/(-4))\/(28\/t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 93*k - 808 = 7*k + 308 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - 83. Let b be c\/(-33)*(-138)\/8. Let h = -9 + b. What is the least common multiple of h and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1526 + 699. Let i = n + 827.000001714. What is i rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 1 = 17*q - 3*r - 18, 4*q - 2*r + 53 = -59 + 142 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 17. Let q be m(-6). Suppose -250368 = -q*f + 134632. What is f rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.962 - -0.038. Which is the closest to 1\/3? (a) 5 (b) 3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 1525?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6635534 - 13?\nAnswer: 6635521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*d**2*m**3 + 150*d**2*y**2 + 981*d*m**3*y**2 + 2*d*m*y**2 - 3*m**3*y wrt d?\nAnswer: 206*m**3 + 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-27)\/54*2\/3). Let g(n) be the second derivative of -22\/3*n**h - 7*n + 3*n**4 + 0 + 4*n**2. Let g(x) = 0. What is x?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - 1141\/(-4165). Let o = 37\/255 + c. What is the smallest value in -1\/12, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, -2, 5, 4, -4, 857 in decreasing order.\nAnswer: 857, 26, 5, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 10*j**2 + j - j - 5*j**2. Let p(l) be the third derivative of l**4\/12 - 3*l**2. Determine v(p(x)).\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -19*x**3 - 63*x**2 - 45*x - 7. Let i(d) = -6*d**3 - 22*d**2 - 13*d - 2. Give 14*i(h) - 4*r(h).\nAnswer: -8*h**3 - 56*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x + 34. Let b be d(-16). Round b to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18546, -1, 45 in decreasing order.\nAnswer: 45, 3, -1, -18546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/20 - n**4\/3 - n**3\/6 + 2*n**2 + n. Suppose 16 = g + 5. Suppose 2*p - g - 3 = 2*k, 5*p = k + 23. Give m(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-6)*(-21)\/14. What is the second derivative of 0*d - 6*d**2 - 3 + h*d + 3 wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537048241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 23657163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 4837320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 49 = 16. Calculate the remainder when 44 is divided by 1\/(h\/16 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/3745 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*d = -2706 - 9075. Solve -3*j + d - 104 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3406 or -3405?\nAnswer: -3406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(12\/(-2))*(-48)\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1. Let k be (2\/(-3))\/2*-3. Let a(n) be the third derivative of n**4\/12 + 7*n**3\/6 - 8*n**2. Give k*a(g) + 5*f(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71701*v**2 + 32919*v**2 + 38779*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000033238 to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(12\/7)\/a)\/a*a*a**(-11) assuming a is positive.\nAnswer: a**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**6*j*j*j\/(j\/(j*(j\/j**(1\/2))\/j*j))*j\/((j\/(j\/(j\/(j*j**(1\/5))*j)))\/j)*j**(5\/6) assuming j is positive.\nAnswer: j**(188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276958?\nAnswer: 2, 761, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + 1 + (-1143 - -1102).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34322*a**4\/3 + 77669638*a**3\/3 - 2296859164*a**2\/3 - 70187416*a\/3 - 178640 = 0. What is a?\nAnswer: -2\/131, 30, 2233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 36 = -2*j, -77 = -4*c + 14*j - 9*j. Solve -r - 11 = 5*l, -36*l - r = -39*l - c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-9 + 33) - -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -15. Put 2, 19, -2, h in descending order.\nAnswer: 19, 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22.742 centuries?\nAnswer: 2274.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 943 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 585.46 * 1\nAnswer: 585.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, 1\/4, 305, 177?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + d + 9 = 0, 8 = -p - 3*d - 9. Let y = 1 + p. What is the units digit of 2\/y*(-25 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 11:54 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -348*t + 59126. Calculate v(170).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -18*t + 41 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2))**(-24\/7)\/((d\/(d**1*d))\/d)**6 assuming d is positive.\nAnswer: d**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**7\/840 + u**5\/40 + u**4\/24 + 3*u**2. Let r(l) be the second derivative of q(l). Differentiate r(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -88.\nAnswer: 7\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 14 + 6. Suppose 4*o + 87 - 280 = -3*a, 5*o + q*a - 242 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2728078353*d**3 + 2728078351*d**3 - 6*d + 8*d.\nAnswer: -2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-16))\/((-115)\/46). Sort 129, q, 2.\nAnswer: q, 2, 129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2*b**3\/3 - 2*b**2 - 3*b - 5. Let y(m) = m**2 - m - 1. Give -l(a) + 3*y(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 371.\nAnswer: -22.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * -0.13.\nAnswer: -5.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**2 + 42*p - 30. Let o(d) = 8*d**2 - 35*d + 24. Let x(a) = 11*o(a) + 9*z(a). Let l(y) = 8*y**2 - 8*y - 5. Give 6*l(m) - 7*x(m).\nAnswer: -m**2 + m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 29 + -12 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 400*i - 3015 + 215 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/2)\/(453\/302).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - 3 - -2) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1588165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 2*d**2 - 3*d**2 + 9*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2934 by 6.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335013, 335011, 335009, 335007, 335005, 335003?\nAnswer: 335001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 4, f: 1, b: 4}. What is prob of picking 1 b, 2 x, and 1 g?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 545899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1179 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -28573576*k**2. Let h(q) = q**2. Determine l(h(v)).\nAnswer: -28573576*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.27, -15, -1089\/4, -0.3, 1, 3, 0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0442 and -135.\nAnswer: -134.9558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*b - 5)*((b**2 - b**2 - 2*b**2)*(b - 5 + 5) - 2 + 2 + b**3).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*p**2 - 33205*p - 308634?\nAnswer: -26*p - 33205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*n**2 + 42*n - 87*n - 6*n.\nAnswer: -3*n**2 - 51*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/7 (b) -0.24 (c) -1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 10. Let h(c) = 6 - 5*c + c + 4*c - 3*c. Let r(y) = -y + 2. Give t*h(s) - 7*r(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5513, 5512, 5511, 5510?\n\"Answer: -a + 5514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q*(q\/q**5)\/q*q**(-2\/5)\/q**6)\/((q**0\/q)**(-27))**31 assuming q is positive.\nAnswer: q**(-4247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 10. Suppose -l*z + 422 = -0*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/14 (b) 2 (c) -20 (d) 1\/2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2721.26 and 0.4.\nAnswer: -1088.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Suppose -2 = 4*d - 38. Let c(i) = -2 - 2 + 4*i + d. Let u(h) = -10*h - 12. Let k(m) = 12*c(m) + 5*u(m). Calculate q(k(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-96) + 2233986\/(-8). Let z = b - -402248. Round z to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2246850 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/7 + 2*b**4 + 18*b**3\/7 - 2*b**2 - 20*b\/7 = 0.\nAnswer: -5, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736586696 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.2278 - -0.1098. Let s = g - -0.118. Let r = 105\/4 - 743\/28. Which is the second smallest value? (a) s (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 818929.6 + -3.29.\nAnswer: 818926.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*c - 64*c + 45*c - 114*c + 81*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19677?\nAnswer: 3, 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25\/12 - 7\/4. What is the smallest value in h, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6825 at most as big as 408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -31. What is the first derivative of z - 20*u - 16*u - 24 + u wrt u?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 + (-2 + 0 + 1)*(3 - 4 + 3))*(-2*p + 1 - 1).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 25*p**2 - 26*p + 4. Let o be k(26). Solve a - 10 = o*y - 6*y, y = 2*a - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 8064*o**2 + 1085019*o + 1076958.\nAnswer: 3*(o + 1)*(o + 141)*(o + 2546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*s + 46*s + 21 - 21*s)*(-6*s**2 - s**2 + 2*s**2) + 4*s + 2*s**3 - 4*s + s**3 - 4*s**3 + 5*s**3.\nAnswer: 9*s**3 - 105*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.6 + 21. Round x to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most -1409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019*b + 2985*b + 4*b**2 - 950*b - 1016*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxe when three letters picked without replacement from {h: 1, e: 4, y: 1, x: 1, s: 2, u: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 34*p - 33*p. Calculate the remainder when 74 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 at most -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 18090.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/6 + 14*(-9)\/(-6). Suppose 2*p + z = 6. Let b be -2 - (p + (-2)\/3*3). What is the greatest common factor of 99 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1842800 and 2211360?\nAnswer: 11056800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147137*g + 74028*g + 75281*g to j + p*g and give p.\nAnswer: 2172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u + 4*u = 90 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 924.25 and 5?\nAnswer: 4621.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11178 divided by -6?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22499 and 15347.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and (11 - 10)\/3*2136.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - 5*s**4 + 6*s**4 + (0*s - 2*s + 0*s)*(-s**3 - 4 + 4) - 306 + 748*s**4 + 306 to p*s + t + y*s**3 + i*s**4 + b*s**2 and give i.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -24 - 12 + 3*p**2 + 71 - 2*p**2 - 23 + 8*p. Give j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 12, -3 in decreasing order.\nAnswer: 12, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163816170 by 54605390.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-9) + (-74)\/(-3). Is -1\/3 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Let i(o) be the third derivative of 0*o + 1\/60*o**5 + 1\/120*o**6 + 0 + y*o**3 - 1\/210*o**7 + o**2 - 1\/336*o**8 + 0*o**4. Factor i(q).\nAnswer: -q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -413542 - -112?\nAnswer: -413430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3 + w + 4 - 3. Let q be (2 - 42\/15)*(-1 + -4). Let r be o(q). Solve 0 = -2*t - m - 4*m + 27, 0 = t - r*m + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 - 19 - -1) - (5 + 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 9, -2*r + 0*r + 39 = j. Let c = -9 + r. Calculate the greatest common divisor of c and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 52 - 242. Let k = 73 - g. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*f**3 + 8609*f**2 - 2334*f - 1603 wrt f?\nAnswer: 1248*f + 17218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + 3*v - 2*v + (-1 - 2 + 4)*(v - 2*v - 2*v) in the form n + k*v and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1088 - 0.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3636*t + k + 17 = -3633*t, t - k - 7 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccjn when four letters picked without replacement from xncxxjnnccc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(637) + 1 + 6*(2*sqrt(637) - sqrt(637)))**2.\nAnswer: 98*sqrt(13) + 31219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73358?\nAnswer: 2, 43, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - ((-275)\/(-25))\/(-2 - -1). Which is the third smallest value? (a) -0.05 (b) n (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1051, -4231, -9533, -16957, -26503, -38171, -51961?\n\"Answer: -1061*w**2 + 3*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 2*y - 8. Let n be g(0). Is (-9 - n)\/((-1)\/29) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 1481*d + 22 + 16 - 28 - 36 to the form c*d + z and give c.\nAnswer: -1481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -294 and 1371.\nAnswer: -403074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in -2\/13, -193, 5, 2\/15, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7674 = 2*b - 3*j - 7678, -b + j = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*1 + 3 - sqrt(242) - ((0 + sqrt(242) - sqrt(242)) + 0) - (5 + sqrt(242) + -1 - (0 + sqrt(242) + sqrt(242) + 5)))**2.\nAnswer: 88*sqrt(2) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -1) + 1\/((1638\/1105)\/(-18))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45515 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 460*j + 6825.\nAnswer: -5*(j - 13)*(j + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2 in ascending order.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -81 - -56 - -39 - (33 - -1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -2497.\nAnswer: -2496.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196143*u**3 - 297 - 196141*u**3 - 1696.\nAnswer: 2*u**3 - 1993","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 0 - (-52 + 64)) + -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -37, 3, -2 in increasing order.\nAnswer: -37, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = 0. Let v be (z + -5)*2\/(-5). Suppose c + p + 1 = 0, p = -v*p - 12. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -4, -213.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, 396, 1323, 3130, 6111, 10560, 16771, 25038?\n\"Answer: 49*z**3 - z**2 + z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 22*r**2 - 5*r + 7. Let i be g(4). Suppose -27 + i = 8*z. Suppose 10 - 30 = -2*u. Calculate the remainder when z is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.7 - -2.7. Let h be (2\/(-1))\/(-2 - 0). Let x = h - 1. What is the biggest value in r, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 8*f**2 - 6*f. Let p be v(4). Suppose 4*k + k - p = 0. Suppose k = 4*q - 56. Calculate the greatest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbfl. What is prob of sequence bff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.37 + -5.27. Which is the biggest value? (a) x (b) 1\/3 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4494190 in -1, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**3 - 438*m**3 - 30298112142*m + 30298112142*m.\nAnswer: -398*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17)\/(g*(g*g\/(g\/(g\/g**(-4\/9))))\/g*g*g*g))**(2\/63) assuming g is positive.\nAnswer: g**(-1702\/9639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -193*t**2. Let g(d) = -d**2. Give u(g(n)).\nAnswer: -193*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 24. Suppose 4 = -4*c - s*w - 0*w, 3*c - 18 = 3*w. Put 4, 3, c in decreasing order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1704704 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-1 - 2)) + 8. Let w = d + -3. Solve 1 - w = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z - 25 = 36*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-5 - (1 - 5 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6408970?\nAnswer: 2, 5, 431, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(4 + -2 + (sqrt(425) + 1 - sqrt(425))**2*1) + -4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 7559861.7728\nAnswer: 7559836.7728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*c**2 - 917852 - 25*c**3 + 917852 to the form i*c**2 + z + y*c**3 + b*c and give i.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and 1430392.44.\nAnswer: 1430382.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.3 rounded to 0 decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/13 + 28*v**2\/13 + 238*v\/13 - 912\/13 = 0. What is v?\nAnswer: -8, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18 + -166)*(-2)\/4?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26247b - 4?\nAnswer: -262483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 0, 5, -667, 8, -5, -2 in ascending order.\nAnswer: -667, -5, -2, 0, 5, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 11. What is n(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {y: 1, t: 1, k: 2, i: 2, d: 1, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 5. Let h(b) = u*b + 0*b**2 - 2 - b**3 - 5*b**2 - 2*b - 8*b. Calculate h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((0\/1)\/5)\/(-1))\/2)\/((-1020)\/340).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 7*g**2 - 4. Let z be c(3). What is the highest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1344 and 336.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -885 times -8?\nAnswer: 7080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 11. Calculate s(12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + a - 512 = 0, a = 4*j + 6*a - 512. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*p = 2*y + 986, 2*p + 0*y - 111 + 59 = -3*y - 23 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*r - 3 = 0, 2*u - 3*u - 5*r = 11. Suppose -3*y - 2*g + 31 = 3*g, -u*g + 12 = -4*y. Suppose y = -f + 6. Solve 2*o = f*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 6*r**2 - 16 + 722*r + 17 - 69*r**3 + r**2 wrt r?\nAnswer: -414*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:12 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (23 + -12) - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000455 to 7 decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4 + 0 + 11\/6*a**3 - 9*a**2 + 0*a. What is the first derivative of g(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -27*i**3 + i**2 - i - 2. Let l be z(2). Let t = -53 - l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsoj when four letters picked without replacement from {j: 3, s: 1, w: 4, g: 1, o: 9}?\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 178 + (-7)\/(21\/(-12)). Let k = -127 + s. What is the remainder when k is divided by (19 - -1) + (-3)\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 6635 = 6607 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/30 - 47\/47. Which is smaller: 426 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.4 times 3215?\nAnswer: -364581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 692378*m + 692378*m - 1384756*m - 144*m**3.\nAnswer: -144*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23 - 13746.798\nAnswer: -13769.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74)\/14 + (-6)\/(-21). Let n be ((-5)\/r)\/((-1)\/(-2)). Suppose 6*a = n*a + 92. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - a49?\nAnswer: -a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 + -4.691. Let z = -0.17354 - -0.183. Let p = y - z. What is p rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2124 + -40431?\nAnswer: -43110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 75525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**16)**27\/(j**(-2\/11)*j\/j**(-42)) assuming j is positive.\nAnswer: j**(4578\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 3. Suppose l = -4*q + 3*l + 20, -5*l - 20 = 0. Suppose -5*a + 13 = q. Calculate the greatest common factor of m and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 342 + -204. Let j = -60526 - -60555. Calculate the remainder when v is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 4104 - 2856 = 0. List the prime factors of c.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k - 1 = 0. Let w(t) = -t**2. Let n(a) = -5*a**2 + 3*a. Determine k*n(d) - 3*w(d).\nAnswer: -2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times 86127?\nAnswer: -5081493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47458 and 118645?\nAnswer: 237290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -335 (base 16) to base 10\nAnswer: -821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = 4*y - 431. Suppose y*g = 251*g - 4. Suppose 1\/5*p**g + 1\/5*p - 2\/5 = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/2 + 80019*c + 6246045\/2 = 0. Calculate c.\nAnswer: -39, 53385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 350\/(-170) + 2\/34. Put -17, -1, n in descending order.\nAnswer: -1, n, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -227940 divided by -7598\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (132*g**2 + 518*g**2 + 390*g - 390*g)*(0*g - g + 3*g + (6 - 3 + 0)*(2*g - 2*g - 4*g)) as u + x*g + s*g**3 + k*g**2 and give s.\nAnswer: -6500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 5) + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43, 61, 83, 109, 139, 173, 211?\n\"Answer: 2*l**2 + 12*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124817*l**2*w - 5*l**2 - 1024604*l wrt w.\nAnswer: 124817*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -6 - (136 - 109).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3931 minus -3?\nAnswer: -3928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/9 - 3822*d + 148720 = 0.\nAnswer: 39, 17160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13410 - 243053?\nAnswer: -256463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + 22*w**2 + w + 8. Let s be x(-11). Let n be -5 + (-13)\/s + 0. Suppose 8*h = 4*h + 84. Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = 0, -4*o - r - r = -2. What is the first derivative of 68 - 72 + 2*w**3 - 44*w**3 - 5*w**o wrt w?\nAnswer: -141*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 2*j**4 - j + 57*j**3 + 5 + 16*j**3 - 136 + 2*j + 130 to f*j**4 + u*j**3 + i*j + p*j**2 + k and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -2*sqrt(1100) + -5 + 1*sqrt(1100) + 3 + sqrt(1100))**2.\nAnswer: -40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169840 and 140?\nAnswer: 1188880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*u - 76*u + 28 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -107 - (-14 + 37)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d + 2. Suppose 79*o = 76*o - 9. Calculate m(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/4*23\/184*-8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (312\/(-364))\/((-3)\/(-14))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Solve 20 = 5*p - 4*h, z*h + 25 = -5*p - 5*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 215. Let r = 88 + m. Calculate the remainder when r is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -90 in -0.3, 4, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 14. Let y(w) = -8*w**2 - 2*w. What is o(y(r))?\nAnswer: -16*r**2 - 4*r - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 69172275?\nAnswer: 69172275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339775760 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 - 2*k**3\/3 - k**2 - 4*k - 18. Let y be m(4). What is the greatest common factor of y and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f + 7*f + 0*f + (f - 2*f - f)*(-3 + 1 - 4))*(-1 - 2 + 4) + 1 + f - 1 as t*f + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.152984 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 98243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -370971?\nAnswer: 4822623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-967.446\nAnswer: 96.7446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -34*h - 32*h - 44*h + 158*h - 34*h. Let u(c) = -9*c**2. What is m(u(i))?\nAnswer: -126*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.450303 years to months.\nAnswer: 53.403636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 6:42 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-620)\/930)\/(3\/(-72))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 200 or 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 21*b - 123. Let d be r(7). Let f(z) = -3. Let q(k) = -17 - k - 13 + 6. Let n(w) = d*f(w) - 3*q(w). Let h(m) = 15*m**2. Calculate n(h(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16937262 + 3?\nAnswer: 16937265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -25 + 55197 - (14 + 1)?\nAnswer: 19, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1732*z - 145 = 1727*z. Calculate the remainder when z is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 1181.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 270 = 45*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66224 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -180 in 3\/5, 5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -2\/7, -3, 11\/3 in decreasing order.\nAnswer: 11\/3, 0.9, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b. Let z(o) = o**3 - o - 1. Let j(a) = 2*t(a) - z(a). Suppose -u - 3 = y, -2*u - 2 = -2*y - 0. Is j(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0 - 4) + -8 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b35 + 2b14?\nAnswer: 4a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44318*v**5 - 264422*v**2 wrt v.\nAnswer: -2659080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 10, -3*l = -5*l + k - 13. Let f(j) = -j**3 - 4*j**2 + 2*j + 3. Determine f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 11. Let r(t) = t**3 + 10*t**2 + 21. Let n be r(-10). Let k = n + -10. Is b(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from oqoqooooqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0028 (b) 6 (c) 0.1 (d) 0.4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.7 (b) 7\/4 (c) -3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14988.6 + -14989. Which is the biggest value? (a) 0.2 (b) -0.3 (c) y (d) 13\/2 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -154.97409 and 456.0959.\nAnswer: 301.12181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2. Let z(v) = -9 - v + 12 + 1. Determine 7*y(c) - 4*z(c).\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3518 is divided by 136.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**2\/2 - 131. Let l(c) be the first derivative of 0*c - 11\/3*c**3 + 0*c**2 + 3. What is x(l(k))?\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*s - 16*s - 24*s + 1 - s - 1 + (0*s - 2*s + s)*(2 - 6 + 2) as l*s + z and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 6\/(-4) - (-45)\/30. Solve 0 = -4*v + m*p - 12, -19 + 2 = 5*v - 3*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0*w + 1\/3 - 1\/3*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001734175991 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 21. Let g = f - 3. Solve 5 = -g*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 75\/(-36))\/((-2)\/(-56)). Which is bigger: 171 or g?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/((-5)\/150). Solve -6 = 6*r - u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/16*(-8)\/(-28).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 24*g - 63, 4*g = 5*d - 1 + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -52. Is d less than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52*2403\/74048)\/(-1*(-3)\/72)?\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g)**50*g**(-1\/4)*g*g**(3\/10)\/g assuming g is positive.\nAnswer: g**(751\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42.2 and -18.59.\nAnswer: 784.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 0.2 (c) -32.9 (d) -1 (e) -46 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -272 bigger than -271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 6*p - 4, 17*b - 15*b + 14 = -33*p - 25 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*h + 28824, 2*h + 5*k = -0*k + 14377. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665946981?\nAnswer: 3, 7, 29, 121501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15176\/32 + (-2)\/8.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77992703879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2354\/7 + -336. What is the closest to -2 in z, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 74*l**4 - 7*l**3*r + r - 839 wrt l.\nAnswer: 296*l**3 - 21*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4202 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.15555 millennia in months?\nAnswer: 133866.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110011010100 + -101111?\nAnswer: -100100110100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*a - 1678 - 2696 - 324 = 0 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 243\/(-7) - 10\/105*3. Let h = -11 - x. What is the tens digit of 1811\/9 - h\/108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15*v**2 - 5*v. Let i(s) = 3*s**2 + s. Let c = -1 - 1. Let b(k) = c*g(k) - 11*i(k). Find the second derivative of b(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-3 + (-10)\/(-4)). Let s = -10 - z. Does 10 divide (2\/(-4))\/(s\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819804998 is divided by 794.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(2\/5)*c)*c\/c**(1\/4)*c)\/((c*(c\/c**(4\/7))\/c*c)\/c*c*c**(-5\/4)))\/((c**(2\/7))**(4\/11)\/(c\/(c\/c**(-1\/7))*c**(1\/4))) assuming c is positive.\nAnswer: c**(1809\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73.6? (a) -0.3 (b) -3\/7 (c) 4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1997 + 1997 + 4*u - 9*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8635 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: Suppose 13\/5*l**2 + 11\/5 - 23\/5*l - 1\/5*l**3 = 0. Calculate l.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270863292 by 19347378.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 52665 = 38*y. Let n = y - -18884. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -94577*u - 10781785. Calculate l(-114).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2614779302?\nAnswer: 2, 30983, 42197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhzzzzhzhzhhhhhhh. What is prob of sequence zhh?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-3 + 6 - 16*o - 4).\nAnswer: 16*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/224 at least as big as -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sedipdpiepdsdsddsssj. Give prob of sequence ejdd.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -147*0.4\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 83 = -4*t + 117, -2*m + 2*m + 19 = -4*m - 5*t for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496557 to the power of 1\/2, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 30*b**2 + 277*b + 18. Is l(-75) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14823111\/14 and 1058795 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/(-252) + (-2)\/9. Suppose -2*w = -r*w - 6*w. Solve w = 2*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 - (34608\/(-108))\/(-2). Let k = -127 - b. Calculate the remainder when 55 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a + -2c9c?\nAnswer: -2c12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3 - 7 - 2 + 2*t. Let h be f(4). Solve h*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 1 - 1)*(-4*m**2 + m**2 + 5*m**2) + 2*m**3 - 3*m**3 + 3*m**3 + (2*m - 2*m + m)*(-3*m**2 + 4*m**2 - 2*m**2).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 879*y**2 - 28 + 34 - 706*y**2 + (1 - 1 - 1)*(y**2 - 5*y**2 + 2*y**2).\nAnswer: 175*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15c (base 14) to base 16.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, -38 in descending order.\nAnswer: 1, 0, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((5320\/(-110))\/38)\/2?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (0 - 17) + (7 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:46 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 2*m**3 + 3*m**3 + 3*m**3 + 0*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8667642827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 7*x - 85. Calculate d(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**(10\/7)\/a)\/a))\/a**(-14) assuming a is positive.\nAnswer: a**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18987*o - 4745*o - 4746*o - 4756*o - 4758*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 < 2675.494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - -3330?\nAnswer: 10223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*a - 502*a = -72 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -132333312 (base 4) to base 8\nAnswer: -367766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - p**3 + 0*p**3)*(-3 + p**2 + 3) - p**5 + 2*p - 2*p - 20*p**5 + 5*p**5 - 5*p**5.\nAnswer: -22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/(36\/(-48)). Let q(m) = -2*m + 3. What is q(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224850 and 6543135?\nAnswer: 65431350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*w - 26. Let m be (-1942)\/w*(-11 + -1). Let d = 46703\/8 + m. What is the common denominator of d and -17\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 + -6. Let v = g + 0.2. Let s = -3304 - -3303. Which is the third smallest value? (a) v (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -17. Suppose 7*s - 36 - 41 = 0. Let p(b) = s*b - 13 + 0*b - 10*b. Calculate p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czcoccocccccccooccco. What is prob of sequence ococ?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15016246, -30032491, -45048736, -60064981?\n\"Answer: -15016245*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o**3 + o**3 + 11*o**3 + (0 + 0 - o**3)*(-1 - 1 + 4) - 3*o - 2*o**3 + 3*o)*(2 - 2 - 2) as b*o**2 + m + v*o + c*o**3 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*m - 14. Suppose 4*s = 3*a + 129, -4*a = m*s + a - 105. Calculate the greatest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + z**2 + 0*z)*(-z + 0*z - 4*z) + (32*z - 32*z + 6*z**3)*(6 - 1 - 4) in the form j*z**3 + k + d*z**2 + y*z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 1, a: 2, v: 1}. What is prob of picking 2 y and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 31*c**4\/2 + 373*c**3\/6 + 9*c**2 + 2. Differentiate r(z) with respect to z.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -63*t**2 - 14\/15*t**6 + 0*t**4 - 1\/3*t**3 + 11 + t + 0*t**5. What is the first derivative of l(p) wrt p?\nAnswer: -112*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + 1 - 1)*(-10*p - 7*p + 31*p) - 9*p**2 + 4*p**2 + 11*p**3 - 13*p**3 as j + l*p**2 + o*p**3 + v*p and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6 + 14.6. Let l = s + -9.8. Let z = 2 - l. Which is the smallest value? (a) 3\/2 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231 - -485\/2. Let d = -1198 - -136565\/114. Let u = d - -243\/38. Find the common denominator of r and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 119*g - 1524. Calculate f(-5).\nAnswer: -2119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/9 (b) 2\/3 (c) -6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 8*u + 3. Let x be d(8). Suppose -12 = 5*q - 4*s, 0 = -5*q + 2*s - 2 - 4. Suppose 2*t + 3*t = 5*m, -5 = 2*t + 3*m. Sort q, x, t.\nAnswer: t, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -c. Let h(i) = i**3 - i**2 + 3*i - 3. Let x be h(c). Calculate the greatest common factor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 35 = 2*l. Let p = l - -61. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 (base 12) in base 11?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5*f + 3*h - 134, 4 = -2*h. Is 138 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -670 and 1.8?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 7 - 1\/12*y**4 + 0*y**3 + 1\/12*y**2 + 0*y + 0*y**5 + 1\/36*y**6. Find w such that f(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -3\/5, -4, 11\/4, -54, -14, -3?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*k, 112*k - 114*k = 2*y. Solve y = 10*c + 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6864\/(-396) + 0\/(-1))*(-6)\/16. Suppose -k*i**2 - 43\/6*i**3 + 14\/3*i**4 + 14\/3*i - 2\/3 = 0. Calculate i.\nAnswer: -1, 1\/4, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0\/9)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2243*a**2 + 129*a + 72*a - 1316*a**2 - 1 - 16*a.\nAnswer: -3559*a**2 + 185*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 58*y + 61*y + y**2.\nAnswer: y**2 + 135*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 43371471 divided by 627\nAnswer: 69173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57321038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 122.44 rounded to 1 dp?\nAnswer: 122.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -42 + -16 + (17 - (3 + 12))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 2, n: 1, k: 1}. What is prob of sequence kq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8204.55246 to the nearest one hundred.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 93 = -713. Let z be (956\/(-6))\/(-1 - u\/120). What is z rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/2823 and -53\/3.\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -37, 11\/3, 0.5, 0.\nAnswer: -37, 0, 0.4, 0.5, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, 97, -586 in descending order.\nAnswer: 97, 3, 1, -1, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 375, 376, 377, 378, 379?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168780827.\nAnswer: 168780827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 109*d**2 + d - 72. Let n(j) = 130*j**2 + j - 72. Let k(w) = -5*n(w) + 6*o(w). Determine k(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**18)\/(b*(b\/(b\/b**18))\/b*b))\/(b**(-9)\/(b*b\/b**38)))**(2\/47) assuming b is positive.\nAnswer: b**(-126\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 10*f - 25, 3*j - 2*f + 11 = 3*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r - 14. Determine x(21).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-405)*(-30)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 183 + 119 - 89 - 116 + 12 - 201.\nAnswer: a - 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131*p + 64*p**2 - 65*p - 84*p)*(-2*p - p + p)*(-1 - 2*p + 1) to w*p**2 + m*p + u*p**4 + s*p**3 + t and give u.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 56*g - 10. Let h be l(5). Suppose -5*b + h = b. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.5 or 7\/6633?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24906*f**6 - f**2 + 25990*f - 1?\nAnswer: -2988720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -50*p + 755. Let s be w(14). Let z(c) = 8*c**3 - 3*c**2 - 3*c + 3. Let i(d) = -143*d**3 + 55*d**2 + 55*d - 55. What is s*z(t) + 3*i(t)?\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x - 4. Determine p(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2381914?\nAnswer: 2, 149, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2)\/((sqrt(20) + sqrt(160)\/sqrt(8))\/sqrt(5)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-8))\/((-16)\/(-64)))\/(4\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -5. Let s = -2 - b. Suppose s = 4*g - 50. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 19*v + 40 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 6*g**2 - 3. Suppose 4*d = 27 - 43. Let w(z) = -2*z**3 - 13*z**2 - 7. What is d*w(q) + 9*i(q)?\nAnswer: -q**3 - 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 - 0.38. Let q = 0.04 + t. Let p be 14\/(-24) - (-2)\/6. What is the nearest to p in 1, q, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 11*v - 605 = -10*v, -5*j + 5*v + 775 = 0. Let q = -147 + j. Solve 0 = 2*o - 1 - q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*v*x**4 + 491409*v*x**3 - 5626*v - 450 wrt x.\nAnswer: 16*v*x**3 + 1474227*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 40088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17292 divided by -17292?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4 + 13)) + 5 - (-12 - 12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4 and (-1 + (-21)\/(-14))*(-47)\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8811962 + -5004962. Round t to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -153 and 14869.6.\nAnswer: -2275048.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -5235?\nAnswer: -5235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(-1 + -5 + -3*sqrt(1573) + 2 + -5 + sqrt(1573)*2)**2.\nAnswer: -3308 - 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 313 + -133431130?\nAnswer: -133430413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/9 + 10007506*b\/9 + 3335836\/3 = 0. Calculate b.\nAnswer: -1, 5003754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 2*r - 4. What is o(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2591 - -2598.5. What is the smallest value in 5\/3, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**2 + 7*g**2)*(-192*g**2 + 192*g**2 + 6*g**3) - g**3 + 14*g**5 + 25*g**5 - 24*g**5.\nAnswer: 57*g**5 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 36, 56, 90, 144, 224, 336?\n\"Answer: u**3 - 2*u**2 + 11*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8403*c**2 + 4181*c**2 + 42*c - 3 + 4099*c**2 wrt c.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13165 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4086 to 2 dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -58.4. Let n = -2.087 - 0.013. Let d = n + 2. Which is the closest to -0.1? (a) y (b) d (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16344948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 38. Is 11 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:58 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.256 - -0.056. Put 2\/7, -1\/4, q, -5\/2 in descending order.\nAnswer: 2\/7, q, -1\/4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9527435 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, d: 4, o: 1, f: 1}. Give prob of sequence oy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g + 3. Let l be v(6). What is the remainder when 6\/l - (-100)\/3 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(-6) + 8\/12. Let g = 5 + n. What is the third derivative of -z**5 + 5*z**2 + 3*z**2 - 2*z**2 - 5*z**g wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + j**2 - j + 4. Calculate the smallest common multiple of 46 and m(2).\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 59. Suppose 6*y = 9*y - t. What is the third derivative of 120 - y*k**2 - 12*k**4 + 128 - 248 wrt k?\nAnswer: -288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96 - 562.6063?\nAnswer: -563.5663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 15. Suppose 3 + 5 = -2*q. Let r be 1\/4 + k\/q. Which is the closest to -1? (a) r (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 14*x**2 + 19*x**2 + 4*x - 30*x**2 as s*x + d*x**2 + w and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2503743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2653600 is divided by 2770?\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 32. Let g = k + -59. What is the smallest value in g, -25, -0.2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + t**3 - 4*t**3 - 4*t.\nAnswer: -3*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 0, 3*x + 24 = b + 2*b. Let s = 2 + b. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.3 - -19.5. Let z = 0.7 + r. Which is greater: z or -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/684)\/((-5)\/(-10))*156\/1\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Suppose -6*z + 11 = -13. Suppose -3*g + 20 = -4*u, z*u + 8 + 12 = 0. Solve g = -s*k + 18 - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 25*b + b + 4*b - 14*b**2 - 147 + 15*b**2. Does 67 divide l(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 - -0.54. Put r, 0.5, 0.2, -6 in descending order.\nAnswer: 0.5, r, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -36 and -20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = l, 2*l - 25 = 4*r - 1. What is the smallest common multiple of 52 and l?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3237*i. Let c be r(-9). Suppose 4*u = -c + 4589133. What is u rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, 5\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/6 - 79679*j**2\/3 + 637411*j\/6 + 132795 = 0 for j.\nAnswer: -1, 5, 159354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 32*w**2 - 12*w - 69. Let h be k(-6). Suppose -2*v + 3*l + 462 = -l, -5*v = 4*l - h. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 7*p - 2*p + (p + 2*p - p)*(3 - 5 + 0))*(-6*p - 12 + 12).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from hhhahxxmhwhaha?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose 5*i - 2783 = -3*c, 2216 = 4*i - g*c + 5*c. Let h = 1641 + i. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5*(-5 - 0). Suppose 3*p - 3*r = 9, -p = 3*r + r + l. Let o(d) = d + 3. Let h be o(p). Solve 4*n + 0*q = 2*q + 8, 3*n + 4*q + h = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -200*(1 + 1 - 322). Let i be (-17)\/(-5) - 4\/10. Suppose i*o + q = 4*o. What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - k**3 + 2*k**2 - 19 - 24*k + 16 to c*k**3 + f*k**2 + y + q*k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -341, -348, -357?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3459676 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 5:10 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (14\/42)\/((-2)\/(-12)) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 + 1 + 0. Let b = 127 - 127. What is the nearest to d in -5, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 - 157. What is the first derivative of -12*s**2 - 74*s**2 - 77*s**r + 151 + 72*s**2 wrt s?\nAnswer: -182*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yquujjyd. What is prob of picking 1 u and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 3619276\/143 and 25309 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. What is the derivative of -5 - k*f**2 + 4 - 3 + 6*f**2 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57141 and 39.\nAnswer: 742833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 12*c + 3*c - 5*c. Let a(z) = 4*z. Determine a(d(s)).\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*c + 15 = 0, -54*c = -3*z - 57*c + 15. Suppose -5*y + 9 = -6. Solve y*l + z*l + 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f*h*j*o**2 - 86*f*j*o**3 + 2*f*j + h**3*j*o**3 - 2*h**3*j*o**2 + h**3 - 1454*h*j*o**3 + 11989*h*j*o wrt o?\nAnswer: -516*f*j + 6*h**3*j - 8724*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.076852 centimeters to nanometers.\nAnswer: 70768520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j - 241*j + 10989 = 193*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81718 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -432*y - 410 + 3002 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h - 20. Let z be k(-4). Suppose 1 = y - 4. Put y, 3, -4, z in decreasing order.\nAnswer: y, z, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 28 = 5*t. Let p = -969\/4 + 3085\/12. Calculate the common denominator of 2\/t - 947\/90 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:57 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 3*d**6\/40 - d**3\/6 - 17*d**2. Suppose -3*z = -4 + 1. Give l(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 307. Is c(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 146\/5. Let c = 18.7 - 3.7. Let y = c - 18. What is the second biggest value in y, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31211621*b**4 - b**2 - 65656269 wrt b.\nAnswer: 124846484*b**3 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -62, -26, 165 in descending order.\nAnswer: 165, 10, -26, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3760?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b - 13500000 = 0. Round b to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**6 + 3946*n**5 + n**4 - 8*n**2 - 76*n + 11 wrt n.\nAnswer: -240*n**3 + 236760*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 556*c**3 - 555*c**3 - 543*c + c**4 + c**4 to the form t*c**3 + x*c + w + l*c**4 + z*c**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -90024 + -1525?\nAnswer: -91549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -d + 10, 5*d - 20 + 2 = 4*f. Let h(z) = -9*z + 25*z - z**d - 16*z. Let u(b) = -5*b. What is h(u(j))?\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-9))\/((-6)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 2*k**2 - 5*k + 2. Let u be x(2). What is the greatest common divisor of u and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 24. Calculate the greatest common divisor of h and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1323 + -825. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10202 + -32013?\nAnswer: -102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45894 is divided by 45864?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.01632 times 771?\nAnswer: -3096.58272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 111 = t. Let p = t - -52. Let q = 8 + p. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 129*k**2 - 2 - 45*k**2 - 38*k**2 - 45*k**2. Let r(n) = -5*n**2 - 47*n + 12. Let v(z) = r(z) + 6*s(z). Let x(u) = -u. Calculate v(x(i)).\nAnswer: i**2 + 59*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3737747*j**2 + 641685*j?\nAnswer: -7475494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(6)\/sqrt(8))**2.\nAnswer: sqrt(3) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4006 divide 565493954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:27 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 48782.\nAnswer: 16\/24391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0*q - 5*q + (2 + 2 - 5)*(0 + 0 - q))*(3 + 1 - 1).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.12 (b) 0.2 (c) 0 (d) -4 (e) -70 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - b + 5 = 5*m, 861 = -5*m + b + b + 877 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 2)*(-4*z - 10 + 10).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 7 - 18 + 25.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 + 324 = -4*p. Let q = p - 93. Suppose q - 27 = -m. Let g(w) = -8*w. Calculate g(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 4*b. Let u(z) = 2*z**2 - 8*z - 1. Calculate -5*a(k) + 2*u(k).\nAnswer: -k**2 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/2)\/(-4 - -2). Suppose -i*d + 28 = 3*d. Calculate the least common multiple of -10*-1*2\/d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37797*15\nAnswer: 566955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12043431 (base 5) to base 11\nAnswer: 77471","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/33495039 and 109\/122022?\nAnswer: 66990078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.1, -4\/3, -12, -3\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6\/11, 4, 72, 1\/3.\nAnswer: -6\/11, 0, 1\/3, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 3 (b) 2.5 (c) 465\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259246?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -z - 4*o, -30*z - 3*o = -26*z + 31. Sort 7, 2, z in descending order.\nAnswer: 7, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*c = -148 + 198, w + 5*c - 26 = 0. Suppose 0 = -4*v + 32 - 0. Suppose 0*p = 4*p - v. Solve w = p*g + g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15371 + 213037 = -2017*w for w.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1988 and 45\/4024.\nAnswer: 1999928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 6*f**2 + 36*f + 210. What is the thousands digit of p(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-6))\/(1\/2). Let y(r) = r**2 + 7*r. Let o be y(-7). Sort t, 2, o.\nAnswer: t, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6*h**2 - 157*h - 4*h**2 + 147*h - 5*h**2 as r*h + k + f*h**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -853 - -294. Let v = r + 822. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0*b - 5*b + b. Let y(f) = 2*f. What is w(y(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5463.253 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -53382?\nAnswer: -53376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534932 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177010 is divided by 218?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -0.2 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7*(-21)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*n - 4*n + 75 = 0, -5*n - 31 = -2*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125710*x**2 + 126203*x wrt x?\nAnswer: 251420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*m + 401479 = -2734*m - 2207*m for m.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b28 - 5ab4?\nAnswer: -690c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/52 (b) 2\/55 (c) -0.1 (d) 1 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114598 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7848690?\nAnswer: 2, 3, 5, 397, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5 = -21. Suppose 0 = 4*z + j*k - 0*k + 16, -k = 2*z + 8. Let h be 3 + ((-52)\/(-9))\/z. Is h smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 0*q + 0*q + (4*q**3 - 2*q**3 + 0*q**3)*(q + q - q) + (-76*q**3 + 43*q**3 + 58*q**3)*(33*q + 34*q - 54*q).\nAnswer: 326*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -2*u - 17*q - 10, 0 = 4*u + q + 56. Put -5, 0, u, 5 in ascending order.\nAnswer: u, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 46.15756 hours?\nAnswer: 166167216000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 6. Let g(i) = i + 5. Let n be g(-3). Suppose 0 = 4*c - 5*h - 26 + 1, n*c + 5 = -h. Suppose -2*f + 10 - 2 = c. Calculate l(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 98.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165542 is divided by 55175.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2 (c) 0.55 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11)**(-35)\/(c**(3\/19)*c**(-8\/11)) assuming c is positive.\nAnswer: c**(-80346\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3078))\/(3*sqrt(8)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-40)*-5)\/((-3)\/(12\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53, -216, -665, -1294, -2103, -3092, -4261?\n\"Answer: -90*p**2 + p + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 27 - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + r**3 + 1 - r**2 + r**3 + r**2 + (-r**2 + 6*r - 6*r)*(-3*r + 2*r - r) - 726*r + 726*r + 95*r**3 in the form o*r + f*r**3 + c + n*r**2 and give f.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7494 times 3?\nAnswer: 22482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + 144\/14. Let n = l - 3. Suppose 0 = 2*g - n*g + 50. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4600\/(-115) + 8074\/198.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*f + 204*f - 21964 = 0 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 - 2*g**5 + 3*g**4 + 19*g**5 - 18*g**5 - 1 - 10 + (-5*g**4 + 4*g**4 + 0*g**4)*(0 + 0 + 4*g) + g**5 + 0*g**5 - 3*g**5.\nAnswer: -7*g**5 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*u = 3900, -5*q = -0*q - 4*u - 9736. Let r = q + -576. Suppose -480 = 4*b - r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + k = -168, -4*o - 3*k + 17 = 687. Let r = o - -905. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2, 0.05, -0.2, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5676509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/21)*d)\/d**(-2\/35)*d\/d**(23\/4)*d*d**(2\/25) assuming d is positive.\nAnswer: d**(-5587\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(500))**2 + 0 + sqrt(55)\/(sqrt(396)\/sqrt(4)).\nAnswer: -119*sqrt(5)\/3 + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 636 and 152?\nAnswer: 24168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -497088*l**3 - 38*l**2 - 8*l - 193586?\nAnswer: -2982528*l - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.240338km?\nAnswer: 7240338000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 7*z**2 + 3*z + 2. Let n = -466 - -472. Give d(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 74, 185, 390, 719, 1202, 1869, 2750?\n\"Answer: 5*c**3 + 2*c**2 + 6*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(28) + sqrt(63) + -2 + sqrt(63) + sqrt(7))**2.\nAnswer: -52*sqrt(7) + 1187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -280, -422, -460, -394, -224, 50, 428?\n\"Answer: 52*a**2 - 298*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, r: 3, d: 2, b: 1}. Give prob of sequence dqrd.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6)*m**(1\/26)*(m*m**2)\/(((m\/(m\/m**(-19))*m)\/m)\/m) assuming m is positive.\nAnswer: m**(443\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(13) + -1)*3 - (sqrt(13) - (1 + sqrt(13) + 2))**2) - (-1 + sqrt(52)*2 + -2).\nAnswer: -8 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6447599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 8760\/(-1100) - (-51504)\/(-660).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*k - 3*k + 224, 2*k = 4*y - 252. Let d = k - -256. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14322101 (base 6) to base 11.\nAnswer: 3073a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -34609893.1.\nAnswer: -34609897.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 11.5. Sort l, 2, -6.4 in descending order.\nAnswer: 2, l, -6.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1190279529 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 39?\nAnswer: -59\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbwwpwbpwpww. What is prob of picking 1 b and 2 w?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 192 = 2*y, -143 = -3*r + 3*y - y. Let l = 269 - r. List the prime factors of l.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2353, 3?\nAnswer: -2353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*o - 7748, 0 = -5*o - 2*g + 4798 + 2941. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-120))\/((-6)\/(-5))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 8*n - 32. Let c be r(8). Calculate the highest common factor of 24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -g - 1987296, -3*g - 2348716 = -5*u - 361418. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 509*v**2 + 6*v. Let g(o) = -512*o**2 - 5*o. Give -6*g(k) - 5*t(k).\nAnswer: 527*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3745, 7811, 11895, 15991, 20093, 24195?\nAnswer: 28291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 281 in decreasing order.\nAnswer: 281, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4c95c5 (base 13) to base 4\nAnswer: -13003111223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3921*k**3 - 1492*k**3 - 2453*k**3.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1308 - -1312. Let j = -0.7 - -0.3. Let x be -6*(-20)\/66 + -2. Sort j, l, x in decreasing order.\nAnswer: l, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/41 or -30325?\nAnswer: -30325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*i**2 - 176*i + 171*i + 3 + 90*i**2 - 189*i**2.\nAnswer: -6*i**2 - 5*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from {s: 3, l: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -5*z**8\/448 + z**7\/210 + z**6\/120 - 15*z**2\/2 - 40*z. Let c(r) be the first derivative of q(r). Factor c(a).\nAnswer: -a**3*(3*a - 2)*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 31913970.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.82 - -0.82. Which is the smallest value? (a) -4 (b) -3 (c) i (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - (-1 - 114 - -165)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -33*c**2 - 5*c - 5. Let a(i) = -20*i**2 - 3*i - 3. Let f(v) = 5*a(v) - 3*s(v). Let q(y) = -1730*y**2. Give f(q(k)).\nAnswer: -2992900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/18)\/(82 - 19521\/243)*-30.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 5*x + 3*x)*(-x - 2 + 2) + (1 + 1 - 1)*(-2*x + x + 0*x)*(-48 + 6*x + 48) to the form u*x + d*x**2 + a and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 6*f + 12. Let s be n(3). What is the third derivative of 13*t**3 + 0 + 2*t**5 + s*t**2 - 5*t**2 - 12*t**2 + 1 wrt t?\nAnswer: 120*t**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 5*t - 69, 5546*l = -t + 5544*l + 17 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 2*u**2 - 3*u + 3. Let a(q) = 6*q**3 + 11*q**2 - 15*q + 16. Determine 2*a(z) - 11*i(z).\nAnswer: z**3 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.21 (b) -4 (c) -0.0403 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -7211.293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let u(b) = -8*b**2 - 13*b. Let y(s) = -2*s**2 - 3*s. Suppose -7*o + 2*o = 30. Let w(r) = o*u(r) + 26*y(r). Determine h(w(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-15 + 60 + -32)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 5*o + 280 = 0. What is the lowest common multiple of o and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58867825?\nAnswer: 5, 29, 81197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1321 divide 27755465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 1, q: 4}. Give prob of picking 1 r and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = 2*r, -4*o = -15*r + 10*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 4*l**2 - 13*l - 4. Let v be d(-6). Solve -v*s = 3*s - 5, 7 = -2*z + 3*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:07 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/6 + 0 - 312\/(-51)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227*n**5 - 20966*n**4 + 7791*n**2 - 1350*n?\nAnswer: -13620*n**2 - 503184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12417 and 75195.\nAnswer: 311232105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 30568*p + 132. List the prime factors of v(1).\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 6. Let x be w(-11). Let f be 15\/x + (-3)\/9*-3. Factor -f*g - 2\/9*g**2 - 2\/9.\nAnswer: -2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 4. Suppose -4*j + 3*p = j - 18, -j - p + 2 = 0. Solve 0 = -4*g - 3*b + j, 0 = -y*g + 5*b - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262763 (base 8) to base 5.\nAnswer: -10413020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393648352 divided by 211.\nAnswer: 1865632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*v)**40*(v*(v*v*v\/(v\/v**0)*v)\/v*v)**(-28)*(v**(-7\/5)*v*(v*v\/(v\/(v**(1\/3)*v))*v)\/v*v)\/(v\/(v*v\/v**(-2))*v**(-2\/7)\/v*v) assuming v is positive.\nAnswer: v**(-5507\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uss when three letters picked without replacement from eauxssf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 3, 37, -10 in decreasing order.\nAnswer: 37, 3, -4, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/36581327 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5054.412ml to litres.\nAnswer: 5.054412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 628*l**3 - 1501078*l**2 + 243409032*l + 300458217672.\nAnswer: 2*(l - 706)**2*(l + 549)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -929, -1967, -3419, -5285, -7565?\nAnswer: -10259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 150 - -5 - 0*(-3)\/3. Solve -130 = -5*u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190555, -190608, -190661?\nAnswer: -190714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*x + 5, 2*x - 13 - 1 = 2*u. Solve 2*a + 2 = -4*s, -x*a - 5 = 4*s - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7035689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000424776 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33962055, -33962054, -33962053?\n\"Answer: y - 33962056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29548.\nAnswer: 2, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318 or -316?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, 0, -9 in descending order.\nAnswer: 6, 0, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22432 divided by 2.\nAnswer: 11216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 54*d - 51*d. What is the remainder when d is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 170. Calculate t(-21).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 11*s**2. Let y be q(11). Suppose -2*f + y*k = -4*k + 8, -f - 5*k = -24. Let p(m) = m**3 - 5*m**2 + 7*m - 9. Let n be p(f). Sort n, -5, 5.\nAnswer: -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 12. Let v be j(-9). Let i be (-150)\/((-15)\/v) + -4. What is the highest common factor of i and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 11*h. Suppose -2 = 20*m + 118. Let q(i) = i**3 + 4*i**2 - 14*i - 2. Calculate the lowest common multiple of s(9) and q(m).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212245 by 42449.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -3\/5*s**5 + 0*s - 3\/2*s**4 + 4*s**3 - 54 + 12*s**2. Suppose i(v) = 0. What is v?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41306 (b) -2\/5 (c) 2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233222 (base 4) in base 6?\nAnswer: 22042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -12\/25, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**4\/24 + 13*u**3\/6 - u**2. List the prime factors of k(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 578 + -575. Suppose h*m - 61 - 476 = 0. Calculate the remainder when m is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 173556929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(-22*v - 1843*v - 146*v - 2034*v) to f + k*v and give k.\nAnswer: 8090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -45*b**3 + 7*b**2 + 12*b + 19. Let j(i) = 22*i**3 - 3*i**2 - 5*i - 9. Let x(h) = 9*j(h) + 4*v(h). What is the second derivative of x(r) wrt r?\nAnswer: 108*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 7*b + 2. Let y be t(7). Let v(d) = 3*d - 36. Let h be v(12). Let i be (-3 - -3)*1 + h. Is y > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p - 64. Let z be s(10). What are the prime factors of 7075\/65 + z - 2\/(-13)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6711 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 53*o**3\/3 + 81*o + 54. What is the first derivative of g(a) wrt a?\nAnswer: 106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from wooooivvo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:23 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 3*s + 4. Let j be c(-3). Let p(n) = 6*n - n - j*n + 4*n. Let k(u) = 2*u**2. What is p(k(f))?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.085174 to three dps.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(2*sqrt(121) - sqrt(121)))\/(sqrt(121)\/(1*sqrt(176))).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = u - 6992, -3*h - 4*u + 0*u = -4185. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**7\/14 + 2*u**6\/15 + u**5\/10 - u**4\/3 + u**3\/6 - 5*u. Suppose h(m) = 0. What is m?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 116 = -6*p + 2*s, -2*p - 4*s - 88 = 0. Find the common denominator of -28\/55 and p\/16 + (-91)\/(-50).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-4) - (3 + -8 + 3). Put -5, p, -1 in ascending order.\nAnswer: -5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/49)\/(3\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(4)*5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 74*h. Let x(p) = 23*p - 14. Let l be x(1). Let b(t) = -6*t**2 - 7*t**2 + 20*t**2 - l*t**2. Give b(a(j)).\nAnswer: -10952*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1080)\/(-9000)*(-550)\/(-3)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27\/8 - 205\/56. Let v = 203 - 207. Let m = 5\/8 + 1\/24. What is the smallest value in o, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*((-1014)\/4 + 2\/(-4)). Suppose v = 3*x - 2651. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/30 - c**4\/8 + c**3\/3 - 5*c**2. Let t be m(3). Suppose t = 3*v - 16. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1351 or 1350?\nAnswer: 1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60.66 + 60.76. Sort 0.4, o, -1\/2, 0.2, 0.24 in descending order.\nAnswer: 0.4, 0.24, 0.2, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13948*z = -13944*z - 2*q - 24, 5*z = 2*q + 30 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + (-3)\/1. Let f(c) = c**3 + 3*c**2 - 2. Let a be f(p). Suppose -2*t - a = -0. What is the closest to 0.1 in t, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1549139 (base 11) to base 13.\nAnswer: -7190a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/69*295\/(287625\/(-585)).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = -7. Let n = f - -1. Let k = 17 + -12. Which is the third smallest value? (a) -0.1 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*t = -71*t + 376. Let c(r) = 17*r + 15. Let m(z) = -11*z - 10. Determine t*m(s) - 5*c(s).\nAnswer: 3*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.37 in 198, 14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 18*h - 11*h + 18*h + 17*h.\nAnswer: 42*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsq when three letters picked without replacement from {q: 1, v: 2, c: 9, s: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/2? (a) 0.01 (b) 0.3 (c) 1 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 139*q - 93. Let l be y(6). Let i = 1187 - l. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 3*b + 5. Calculate the lowest common multiple of i(-3) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*p = 321*p + 180. Sort -1, -10, p, -2 in descending order.\nAnswer: -1, -2, -10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**2)*k**(-13)\/k*k)**(-10\/17)\/((k**(-1\/2)\/(k*k*k\/k**(4\/9)))\/((k*k**(-2\/3)\/k*k)\/(k\/(((k*(k*k**(-2\/11)*k)\/k)\/k)\/k)*k))) assuming k is positive.\nAnswer: k**(23863\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11941 or -11936?\nAnswer: -11936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3 + 2*i**2 - 4*i + 5*i**2 - i**3 + 0 - 2*i**2. Is y(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9130 divided by 64366\nAnswer: 4565\/32183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 8*m - 25. Let f be q(3). What is the greatest common divisor of f and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 + 8 = 4*o + 5*o. Calculate the highest common factor of 68 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -66532695.\nAnswer: -66532703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -3*z + 108. Let b(v) = v**3 + 19*v**2 + 19*v + 38. Let n be b(z). Calculate the greatest common factor of 260 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*n + 3*p, 2*n = -p + 7 + 10. Suppose -6415 = n*o - 66637. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2687896.28 and -5116?\nAnswer: 2682780.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 4. Let x be r(2). Suppose p + 0 = 2. Is 6\/p + x + 2 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30862 or 5400648\/175?\nAnswer: 30862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14954 - 93205437.\nAnswer: -93190483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419411 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -1\/10, 8710, -3\/11?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(132))\/(sqrt(12) - 1*sqrt(48)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.4. Let p = -4.5 - -0.5. Let l = 3.5 + p. Which is the second smallest value? (a) 4 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22072, -22071, -22070?\nAnswer: -22069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9 - -1) + (-8)\/3. Let h be ((i - -14)\/3)\/2. Let x(d) = d + 3. Let b(r) = r + 4. Let w(a) = -4*b(a) + 5*x(a). Give w(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 29 = 4*j, 5*q = -2*j + j - 24. Let k be (7\/(-2))\/(-38*(-62)\/9424). Sort -4, k, -5, j in decreasing order.\nAnswer: j, -4, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713537877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 55. Let r = 2 + 0. What is the second derivative of r*z**3 - 2*z + 24*z + y*z**3 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 + 2*p + 7. Suppose 6*y = 8*y - 6. Let r be b(y). Let j be 4\/r + 6\/(-105)*2. Is j less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 20 + k**3 - 11*k - 108*k**2 + k + 96*k**2. Suppose 0*u - 4*u + 52 = 0. What are the prime factors of i(u)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54926 is divided by 27340?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0 + 13\/20*w**5 - 5\/2*w**3 + 55*w + 0*w**2 + 11\/12*w**4. Let g(a) = 7*a**3 + 6*a**2 - 8*a. Calculate 11*g(b) - 6*s(b).\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18)*3)\/(268\/(-4824))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.336 - -1.236. Which is the nearest to k? (a) 6 (b) 1\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 1, -21, -63, -131, -231, -369?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 - -5 - (-2 + 1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*n + 2*n + 38*n - 180*n - 19*n.\nAnswer: -492*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-30))\/(822\/58910).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 15*o**3 + 13 - 5 to a + v*o**2 + i*o + m*o**3 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, -1, 30, 8601 in increasing order.\nAnswer: -1, 0, 18, 30, 8601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -60 + 85 + 22*c**2 + c**3 + 17*c - 6*c - 31*c**2. What is the units digit of x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 45. Let h = 15.9999987 - k. Round h to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1108, 1113, 1120, 1129, 1140?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/10 - 0)\/1*-6. Factor 4*b**4 + 8640*b + 451*b**2 - 3780*b**v - 249*b**4 + 1264*b**2 - 15175*b**2 - 1280.\nAnswer: -5*(b + 8)**2*(7*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 7638.\nAnswer: 53466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (1 - (-23 + (10 - -2)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 8. Let p(q) be the first derivative of -3*q - 81. Let z(m) = -g(m) + 2*p(m). Give z(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*p = 3600, 5*p + 2637 = 2*a + 852. What are the prime factors of a?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585 and 423558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - (-120)\/21. Let d(i) be the first derivative of i**4\/4 - 4*i**3\/3 - 4*i**2 + i - 3238. Calculate d(m).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437391?\nAnswer: 1437391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -178\/2697?\nAnswer: -178\/2697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i. Let c be (-36)\/60 + (-53)\/(-5). Let r(q) = 19*q - c*q - 5*q. What is d(r(k))?\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 4 (b) 12\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 46.8937 centimeters?\nAnswer: 468937000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*20\/(-15). Suppose -4*y + d*y = -4. Determine o so that 3\/2*o**y + 1 - 5\/2*o = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/31, -0.4, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 1)*(-4 + n + 4)*(-3 - 4 - 6).\nAnswer: -52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0 + 0*z**3 + 0*z + 0*z**4 - 3\/112*z**8 + 0*z**7 + 0*z**6 + 7\/30*z**5 - 11*z**2. What is the third derivative of g(w) wrt w?\nAnswer: -540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20728 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -19*f - 1. Let q(u) = -18*u - 2. Give 4*c(l) - 3*q(l).\nAnswer: -22*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f - 6*f + 33 + 15 - 35 - 13.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39 + 47 + w**2 + 176 - 129 - 3*w with respect to w.\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 16*x**2 + 14*x - 1. Let p be l(-17). Let t = 53 - p. Suppose 2*n = -s, 18 = s + 2*s - t*n. Solve -s*w + w = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 2, w: 4, n: 2, p: 3}. Give prob of sequence ncc.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - ((0 - -2) + -64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.212 - 77.788. Let y = -78.084 - g. What is the biggest value in y, 3\/4, 0.2, -2\/15?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -3.7. Let d = k + -1.2. Let n = -5 - d. Sort n, -0.1, 1\/10 in ascending order.\nAnswer: -0.1, 1\/10, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/407 or 1?\nAnswer: -2\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 13, 49, 99?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, j: 2, i: 5}. What is prob of sequence iis?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -328, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(3*p**2 - 2*p**2 - 2*p**2 + (p**2 - 5*p**2 + 2*p**2)*(0 + 2 - 4) - 2*p**2 + 5*p**2 - p**2 + (0 + 0 - 6*p)*(0*p + 0*p - 2*p)).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 81082658 + 58\nAnswer: 81082716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3*r - 2*r)*(2 + r - 2) + 2942 - 2922 - r**2 + 5*r**2.\nAnswer: 6*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 23 = 22*d + 5*q, -2*d - 19 = q - 2*q for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000916 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z - 12. Let s be 3\/12 + (-21)\/(-12). Suppose 0*i = s*i - 4. Solve 3*x - z = i*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*d = 26, 2*d + 19 - 53 = -5*g. Let i = 262 + -259. Solve i*f + g = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 250, 1, 3 in increasing order.\nAnswer: -4, 1, 3, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)*o)\/(o**(-1)\/o) assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -257a - -336?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9435*y + 20292*y - 7615*y.\nAnswer: 3242*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6443.78 rounded to 0 decimal places?\nAnswer: -6444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8827264 or -8827265?\nAnswer: -8827265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 5*s**2 + 145 - 145.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6967.878026 to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 81*n**2 + 28*n + 96. What is y(40)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101000010 (base 2) to base 14.\nAnswer: 109c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 91 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496 and 79472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 6, v: 4, t: 2, b: 4, o: 1}. Give prob of picking 2 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 2 + 10 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7641\/(-1698))\/(54\/1104).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -41. What is the greatest common divisor of t and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/483 equal to 250919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 5028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 86318 (base 10) to base 14\nAnswer: 23658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 775264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 30 = 4*y. Suppose 7*x = 9*x - y. What is the remainder when 18 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 409634, 819151, 1228670, 1638191, 2047714?\n\"Answer: g**2 + 409514*g + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23532 - 454062?\nAnswer: -430230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4))\/(10*3*(-9)\/216).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48866.\nAnswer: 2, 53, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -59. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -468 + 493. Suppose b*t - 4775 - 2300 = 0. Which is bigger: t or 281?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*f - 2, 4*f + f = -10. Suppose 4*z = 4 - 12. Let d be z\/70 - (-48)\/112. What is the closest to -2\/5 in m, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 95 + 2\/8 + (-171)\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 7. Let l be (4\/(-6))\/((-4)\/30). Suppose 5*t - l = 25. Let f be a(t). Solve 3*m + p - f = -2, 0 = 5*m + 3*p - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00107 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, d: 2, m: 4, n: 9, u: 3}. What is prob of sequence mimd?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 35*j**2 - 19*j - 49. Is 22 a factor of q(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q**2 + 2*q + 2. What is the tens digit of t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121800 divided by 140?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*x + 131*x + 19 = 3*n, -5*x + 7 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55803*s**4 + 76*s**3 + 228*s**2 - 258666 wrt s.\nAnswer: -1339272*s + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 9*c**2 + c - 2. Suppose -5*l - 2*v = -49, -3 + 14 = l + v. Determine q(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36384315 times -2\nAnswer: -72768630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogi when three letters picked without replacement from ogwlcil?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2 + -2)\/(-1). Let x be (-1 - (-6)\/(-9))*-15. Suppose i*t + 8 + 3 = y, -5*y + x = -5*t. Solve y*b - 6 = 2*p + 2*p, -15 = -2*p - 5*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfwfffffwfwuuwwwwwf. What is prob of picking 2 f?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-99))\/((-148)\/222)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 47 + 53*p**2 + 55*p**2 - 218*p**2 + 52*p**2 + 57*p**2. Let h(a) = -11*a. Determine h(m(s)).\nAnswer: 11*s**2 - 517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*a + 133. What is the third derivative of 51*b**2 - 24*b**5 - 11470*b**4 + 11468*b**4 - a*b**5 wrt b?\nAnswer: -2760*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 52*b - 111. Give p(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 20.7. Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -104 (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2771715 equal to -2771721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-14)*(-62 + 69).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394\/33 - -3527\/308. Find the common denominator of u and 65\/204.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = -4*t. Is (-153)\/(-15)*(t - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 3. Suppose -w*j + 49 = -223. Let t = j - 31. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1823 divide 43845685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2238*r**6 + 26*r**3 + 30*r**2 - r - 52 wrt r.\nAnswer: -268560*r**3 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 7*i - 3. Suppose 5*c = -10 - 45. Let d(j) = 6*j**2 + 35*j - 14. Let a(n) = c*y(n) + 2*d(n). Let t be a(6). Is t greater than or equal to 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7120000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**3 + f**2 + 3*f + 3. Let n(k) = -7*k**3 - k**2 - 2*k - 3. Give 3*n(h) + 2*t(h).\nAnswer: -3*h**3 - h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 88, -10, -132, -284, -472, -702?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(-2 + sqrt(1900) + sqrt(1900) + -4)*6)**2.\nAnswer: -138240*sqrt(19) + 4398336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**2\/2 + 2. Let h be 23\/(-5) + 8\/(-20). Let i be (1 + -1)\/(-2 - h). Determine y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -806672, -1613345, -2420018, -3226691, -4033364?\nAnswer: -4840037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -39*b + 387 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -40034?\nAnswer: 40051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0*f = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - 20 = 0. Suppose 0 = t*o + 4 - 19. Solve 0 = x - 0 - o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848689203 to the power of 1\/3, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 4*b**2 - b - 3. Let l = 31 + -31. Suppose -2*y + 5*u = 3 - 9, -2*u = l. Let s be c(y). Sort 4, -3, 0, s.\nAnswer: -3, 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1077, -53\/3?\nAnswer: 1077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 41531 (base 7) to base 8\nAnswer: 23746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, e: 2, n: 1, b: 6, c: 7}. What is prob of sequence mnce?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10663027.\nAnswer: 10663027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -27. Suppose 2*z + 50 = 6*z + u, -17 = -z + x*u. What is the highest common factor of 143 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956 greater than or equal to 3940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000186732 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33022003 (base 4) to base 12\nAnswer: 2bb17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 342615 = 5*o, 115*o - 118*o - 2*s + 205553 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.054 + 0.054. Let z = h + 44.979. Round z to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -292.91 from -6729.\nAnswer: -6436.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a day?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 672.1017 + -0.1017. Let p = -644 + t. Let x = 0.1 + 0.1. Which is smaller: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-35 - (-14490)\/253)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) - 1\/(-3). Let x = -74 + 78. Suppose 10*p = -x*p + 14. Is p < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 28. Let m be (-134)\/n - (-10)\/(-65). What is the fourth smallest value in m, 0.1, 4, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2662, -5326, -8018, -10756, -13558, -16442, -19426?\n\"Answer: -3*p**3 + 4*p**2 - 2655*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, 5, 2\/1895 in increasing order.\nAnswer: -3, 2\/1895, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n + 6. Let a(v) = -2*v + 2. Give 8*a(x) - 3*d(x).\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwx when four letters picked without replacement from {x: 6, w: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27588 and 8804928?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v**2 + v**2)*(-3*v + 0*v + 2*v) + (-2*v**3 + v**3 + 3*v**3)*(2 + 1 - 4) - 2*v**3 - 3*v + 3*v - 1 - 8*v**3 + 1 - v**3 + 2*v**3 + v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8680663 (base 10) in base 13?\nAnswer: -1a4c1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153255848?\nAnswer: 2, 409, 963709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.814 + -14.74469. What is y rounded to 3 dps?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861 take away -36264284671?\nAnswer: 36264288532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 43 = -1 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8854 - -21?\nAnswer: -8833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, q: 2, o: 5, z: 8}. What is prob of sequence qq?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 - (24 - 6 - 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42312541 (base 6) in base 5?\nAnswer: -304111232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-26) - (-628)\/26. Let w = l - 5. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j - 5. Let q be a(-3). Put 0, -1, q, 3 in descending order.\nAnswer: 3, 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - 3*a + 24. Let r be (0 + a)*2 - (2 - 56). Calculate the highest common divisor of r and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/77723895 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (-34 - -21) + 26.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142049111?\nAnswer: 19, 1489, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3*(-72)\/(-6). Let n be -10*(8\/2)\/o. Suppose -p - 48 = -n*p. Solve 2*i - 2 + p = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 2*t - 2. Suppose 4*s + 3*j = 5*s + 5, -5*s - 2*j + 43 = 0. Suppose -20 = s*x - 6. Give p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/105*(48\/216 + (-164)\/(-18)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475791 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*c - 2, 4*c + 0*r - 18 = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6850\/1113 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 19. Let y be ((-1)\/(-8))\/(n\/8). Let r = -1.045 + 0.045. Which is the second biggest value? (a) -0.4 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 195\/12)\/(9\/48). Let b be 11\/(-4) - 161\/o. Let r be (-96)\/(-51) + 0 - 2. Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Suppose 92 = l*j + 22. Let x = -4 + j. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n\/(n\/(n**(-21)*n)))\/(n\/n**(-16))*(n*n**(7\/4)*n)**(3\/22) assuming n is positive.\nAnswer: n**(-2947\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380670219 or 380670217?\nAnswer: 380670217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 16. Suppose -84 = -4*h + 5*r, 5*h + 4*r - 72 = k*r. Calculate the remainder when 61 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 725539.5um?\nAnswer: 72.55395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183 + -182.9. Which is the closest to -4? (a) 5 (b) 2 (c) p (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*q**2 + 63*q**2 - 22*q - 198*q**2 + 22*q.\nAnswer: 129*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**10*(n**0)**(-9))**(2\/31) assuming n is positive.\nAnswer: n**(-20\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let k be r(6). Let u = -6 - k. Suppose -4\/9*f - 2\/9*f**4 + 2\/3*f**2 + u*f**3 + 0 = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24232\/105 - 3293\/14. What is the common denominator of u and 19\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**2 - 4*w - 8*w**2 - 3*w wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3\/6 + l**2\/4 - 10*l + 118. Factor w(d).\nAnswer: (d - 4)*(d + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (32 - 230)\/(-4*21\/56)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16657258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1501*y**3*z**2 + 2*y**3 + 2*y**2 + y*z + 2*z**4 - 3*z wrt z.\nAnswer: -3002*y**3 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3\/6 - q\/2 - 1. Let g(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/63)\/(96\/(-168))*-21\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*a*c + 184*c wrt a?\nAnswer: -126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 3*w**2 + 11*w + 2*w**2 - 10*w + (-w**2 + 3*w**2 - w**2)*(1 - 1 + 2*w) + 0*w + 2*w**3 + 0*w.\nAnswer: 8*w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61629 is divided by 288?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/15 - 5*s**4\/6 - 29*s**3\/6 + 13*s**2. Let i(d) = -2*d**2 + 10*d + 15. Let v(x) = 3*h(x) + 5*i(x). Factor v(n).\nAnswer: 2*(n - 6)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 8*a + 2. Let d be v(-8). Let t be (d + -12)\/(-5 + 3). Suppose 3*g + n = 21, 2*n - t*n = 4*g - 23. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -8*g + 4. Solve -5*a = -g*q, 2 = -q - 0*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11119 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: Solve 6*k = 2*k + 12, -1 = 4*a + k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-1428)*63*12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}