diff --git "a/data/dm_maths/full_data_1/1925_11255.jsonl" "b/data/dm_maths/full_data_1/1925_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1925_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o(x) = -7*x**3 - 1142*x**2 - 35700*x - 623. What is o(-121)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 11. Let a = -6 - -4. What is the second smallest value in a, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 152722863 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -6. Let v(o) = o**2 + 11*o - 10. Let n be v(-12). Let a(i) = i + 11*i**n - 3 - 3*i - 2. Let u(k) = -5*k**2 + k + 2. What is c*u(w) - 3*a(w)?\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*l = -3, 5*l = -k + 19 + 4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*s = 0, s + 20 - 13 = 0. Let u(d) = -2*d**2 + 13. Give u(x).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 0*u**2 + 0*u**2 + (5*u - 5*u + 2*u**3)*(4 + 0 - 3) + 0*u**3 - 18*u + u**3 + 16*u.\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -25*l. Let y(d) = 2*d - 3. Let m(z) = z - 1. Let r(w) = -6*m(w) + 2*y(w). Determine -40*r(p) + 3*t(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1556*x**3 - 1533*x**3 + 3087*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, k: 3, n: 5, h: 6}. Give prob of picking 1 u, 2 h, and 1 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*k - 3. Suppose k*q - 21 = 3*l, 3*q = q - 3*l - 1. Let b = 62 - 35. Solve q*d - 25 = -3*m, -4*d + d + b = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29004085.\nAnswer: 5, 11, 527347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 503046 and -13970.\nAnswer: 489076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyiyypyyyiiyy. Give prob of sequence pyy.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120.69 * -0.5.\nAnswer: 60.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.038 + -0.038. Let j = -22.9 + y. Let p = 2 + j. What is the second smallest value in p, -2, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 100079.\nAnswer: -40031.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -551*21\/14*-8. Suppose -4*q + o = -3512. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r - 147*r + 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.6 - 31. Which is the third biggest value? (a) -5 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16103 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 1 + g + 1)*(2*g**3 + g - g) - g**4 - 2*g**4 + 9*g**4 as f + m*g + o*g**4 + c*g**2 + i*g**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 4*r = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 15*m**2 - 2*m - 12. Let b be h(-15). Suppose -3 = 3*f - b. Suppose -v - 12000 = v + 4*u, f*u = 0. Round v to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sio when three letters picked without replacement from wowowiwwoswwooow?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + b + 25 - 65 + 22.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (8 - 3)) + 32*(-8)\/(-32). What is the highest common factor of 27 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*b + 110, -4*b - 46 = -3*p + 34. Calculate the remainder when p is divided by (-8 + 5)\/(3\/(-15)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149000 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007783 take away 453.3?\nAnswer: -453.292217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -5. Let a be -10*((-3)\/2 + -1). Suppose -6*b = -b - a. Calculate the greatest common factor of t and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -113 + 1 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 - (9 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c (base 13) to base 15.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + sqrt(832) + -1 + sqrt(832) + 3)**2 + 1.\nAnswer: 96*sqrt(13) + 7493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 55. Let w = t + 9. Let j(g) = -3*g**3 + 3*g**2 - g + 1. Give j(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*y - 24 = -104, -5*w + 2*y + 80 = 0. Solve -w = 2*x - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1997369479?\nAnswer: 7, 43, 661, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1*-1*(62674\/(-16) - (-2)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0664 - 0.0127. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + g + 2*g**4 + 38*g - 540*g**2 - 34*g as j*g**4 + t*g**2 + m*g + v*g**3 + w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 25*x + 28. Let b be w(-24). Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*l**3 - 1270567*l**2 + 1270567*l**2.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 672 divided by 1\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -456 + 457. Which is the second smallest value? (a) -3 (b) 0 (c) m (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o + 1. Let k(l) = 3*l - 1. Let v(y) = -3*k(y) - 2*q(y). Let x be v(11). Let n = x - -56. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 129, 136, 165, 228?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)\/z)\/z)\/z*z*z**8*z*(z*z**(5\/3))\/(z\/z**(2\/5)) assuming z is positive.\nAnswer: z**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 1}. Give prob of picking 1 q and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.225 take away -0.046046?\nAnswer: 0.271046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-371 - a + 154 - 21)*(-2 - 1 + 5).\nAnswer: -2*a - 476","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -143bb2 (base 12) to base 2\nAnswer: -1010010101011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 4 + 1\/44*k**4 - 1\/330*k**5 + 0*k - 3\/2*k**2 - 2\/33*k**3. Let g(y) be the second derivative of h(y). What is c in g(c) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -1, 8\/5, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 294523678.290202839 + -294523619.6. Let s = k + 0.309798321. Let a = -59 + s. Round a to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025163 to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -226 (b) 0.01 (c) -75 (d) -1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Suppose i + i = 2. What is the remainder when 16 is divided by 4\/p - -8*i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 48) + (5 - -18)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**3\/3 - 4*m**2 + 6*m - 3. Let c be s(-6). Let k = 29 - c. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 101110?\nAnswer: -101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.99 - -59.29. Put -0.03, s, -4\/3, 1\/6 in decreasing order.\nAnswer: s, 1\/6, -0.03, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(121) - (sqrt(121) + sqrt(121) + sqrt(121) + (1*sqrt(121) - sqrt(121)))) - sqrt(121))\/(sqrt(99)\/sqrt(36)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/7)\/(i*i**7\/i*i*i))\/(i**(-2\/5))**(-7\/8))\/((((i*i**0\/i)\/i)\/i)**44\/((i\/i**2)\/i**(-2))) assuming i is positive.\nAnswer: i**(11171\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -1, -15, 5, -3 in decreasing order.\nAnswer: 106, 5, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*f - 2*j, -3*f + 7 = 3*j + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2007106 - 4014195 + 2007089 - 2*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7059, -4 in ascending order.\nAnswer: -4, 0, 7059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*y + 1 - 3, 0 = -b + y + 5. Let p(f) = -2*f + 0 + 2 + b*f + f. Calculate p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9097 - -9107. Put 0.2, 1.37, h in ascending order.\nAnswer: 0.2, 1.37, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -330 - -429. Is j equal to 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8413 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 8*s - 94. What is the highest common divisor of s and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34691 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 46 + 10 - 1 - 122.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0.3, 2, -4\/31 in decreasing order.\nAnswer: 2, 0.7, 0.3, -4\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*(1 + sqrt(2736)) - (sqrt(2736)*-1 + 1 + 4))**2 + 0.\nAnswer: 1320*sqrt(19) + 331081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:17 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**0))**(-1\/5)*(m**(6\/5))**(2\/13) assuming m is positive.\nAnswer: m**(12\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2447760 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g**3 + 13*g**3 - 23*g**3 + 50 + (3*g**2 + 4*g - 4*g)*(-g - 3 + 3).\nAnswer: -4*g**3 + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4242*y + 4093*y - 1739812 = -14074*y + 3498*y for y.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3061 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnndnnnnddnsdrrfnnd. What is prob of sequence rdnr?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 2\/3 (b) -3 (c) -2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0347 - 0.0653. Let r = -0.46 - -0.4. Let a = 0.04 - r. What is the third biggest value in -9\/5, a, s?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose -2*a - x = -3*a + 12, 2*a + 5*x - 10 = m. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + sqrt(28) + 2 - (-1 + sqrt(14)\/sqrt(2) + sqrt(7))).\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000448 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 362 - 361 - 3*r**2 - 2*r**3 + 5*r**2 + r. Calculate g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, d: 2}. Give prob of picking 3 v and 1 d.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/17, -442 in increasing order.\nAnswer: -442, -7, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29920 divided by -2720?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 0.00309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263 + 266. What is the third derivative of -3*o**6 + 17*o**x + 4*o**2 - 12*o - 59*o**3 + 14*o**3 wrt o?\nAnswer: -360*o**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.9*-64\nAnswer: -953.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = 0, 2*o = -h + 5*o + 27. Let k = h - -11. Calculate the highest common divisor of k and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5059*h + 17*h**2 - 5058*h - 3*h**3 - 12 + 14 - h**3 + 2*h**2 - 2*h**2 + (4*h**2 - 6*h**2 + 0*h**2)*(0*h - 2*h + 4*h) + 3*h**3 - 5*h**3 + 0*h**3.\nAnswer: -10*h**3 + 17*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/118*(-11)\/((-2)\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 10:49 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 69. Let w be ((-47)\/(-1))\/(36\/252). What is the highest common factor of w and j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from shhhhhhhhhsshhhshs.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 51*m + 259. Calculate p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.28 and 19.220969.\nAnswer: 18.940969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (31 - 9) - 31 - 23?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440211 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -1620.43268.\nAnswer: -1620.13268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79, -169, -259, -349, -439?\n\"Answer: -90*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 7}. What is prob of picking 1 a and 1 n?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -1\/4, -626\/5, -3\/5, -4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:31 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76058 is divided by 504.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 4\/3, 1, 0.4, 23.8?\nAnswer: 23.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0 - 19. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 755 - 378 - 21*x**2.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6979517.\nAnswer: 19, 29, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - q = 253 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*x - 64*q + 53*q, 2*q = -4*x - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*f - 16, -4*f + 53 = 7*d - 2*d. Solve 3*q + 2*r = -f, 0*r = q + 4*r + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 76. Suppose 5*h - k - 39 = 0, 5*h = 2*k + 1 + o. Suppose 5*j - 142 = c, -2*j + 0*j = 4*c - 70. Solve -4*x = 4*b + 35 - h, 3*x + j = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2232.7 - -2221. Which is the second smallest value? (a) 1 (b) t (c) -4\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = h + 5*q + 1, 0 = 2*q + 6. Let p(z) be the second derivative of z**4\/4 - 126*z. Let g(k) = -k**2. What is h*g(n) + 2*p(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/7)*c)\/c)\/((((c\/c**(-2\/9))\/c)\/c*c)\/c))\/((c\/(c*(c*(c**(-6)*c)\/c)\/c*c)*c)\/(((c**(2\/3)\/c*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-431\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21222 - -1?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, 1, 3 in descending order.\nAnswer: 3, 1, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 16*j - 15. Let m be l(17). Factor 7*s**2 - 33*s**m - 5*s**4 - 5*s + 25*s**3 + 20*s - 9*s**2.\nAnswer: -5*s*(s - 3)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 149?\nAnswer: 14602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/(-26) + (-1593974)\/(-4) + -6 + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-492)\/(-36) + ((-4)\/(-6))\/2. Let z be 7*((-38)\/x - -3). Is (1 + 0\/z)*409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5150 and 2550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.7529*-2\nAnswer: -1.5058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*66\nAnswer: 8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - b + 3. What is i(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1, 0.4, -4, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -0*j + 7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/(10\/14)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 138, 1047, 3518, 8331, 16266?\n\"Answer: 130*d**3 + d**2 - 4*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2263, -2172, -2081, -1990, -1899?\nAnswer: -1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i**3 - 7*i**2 + 7*i - 1. Let z(n) = 7*n**3 - 5*n**2 + 6*n. Let c(d) = -3*b(d) + 4*z(d). Give c(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 9*j + 10. Let a be v(-8). Let q = a + -4. Does 19 divide (-3 - q) + -3 + 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 7*w + 7. List the prime factors of n(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 124824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1372855550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 59?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -321, -387, -453?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.384 - 0.116. Suppose 0*i - 2*i - 2 = 0. Let z = 0.2 - 0.2. What is the closest to i in -0.3, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*p - 1 = 0, 0 = 5*w + p + 2*p + 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -1\/8*p**4 + 0 - p**2 - 1\/2*p**3 + 0*p. Suppose -2 = 3*i - 2*i. Give z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 7*g**2 - g + 4. Let f be i(-7). Let k(o) = -o**2 + 13*o - 11. Calculate the smallest common multiple of (-10)\/(-2*2\/4) and k(f).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*m - 56 = -5*m, -4*i + 78 = m. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 0, -138986, -3 in descending order.\nAnswer: 0, -1, -3, -11, -138986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 - 6 + 876*u - 874*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 - 2*s + 4. Let b(p) = -2*p**2 - 2*p + 1. Let l(r) = 3*b(r) - n(r). Let g(y) = -y**2 - 5*y - 1. What is -3*g(c) + 4*l(c)?\nAnswer: -c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8374*x**2 + 192787*x - 4255.\nAnswer: -(x - 23)*(8374*x - 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -8, 0.2, -249, -9\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -1 (b) -1\/2 (c) -226577 (d) 0.1 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79832571 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25866, 25864, 25860, 25854, 25846, 25836?\n\"Answer: -z**2 + z + 25866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -317 + 396. Let i = d + 121. Calculate the highest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 - 1156*p**2\/7 - 6882*p\/7 - 10296\/7.\nAnswer: -2*(p + 3)**2*(p + 572)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2395347*b**6 - 447*b**2 - 855*b wrt b.\nAnswer: 287441640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 74*o**2 + 827*o - 4802. Calculate z(62).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7200 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 715359491 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 455 + -244?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 24*w - 26 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009615 to six decimal places.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(88) - sqrt(88) - sqrt(88))*-1)\/(sqrt(8) + sqrt(16)\/(sqrt(8)\/sqrt(4))) - (-5 + (-4 + 0 + sqrt(44))**2).\nAnswer: -55 + 35*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (190\/155895)\/(6\/(-4) + 1). Is 1 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 3*u - 10, 0 = 3*v + 1338*u - 1334*u - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 51*v + 126.\nAnswer: 3*(v + 3)*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + -54. Let s = -48 - m. Suppose 0 = -s*c - 0 - 0. Let a(w) = w - 8. Give a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y = 45*y - 3*m + 57, 931*y - 115 = 926*y - 2*m for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2330996?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j - 2 - 1\/2*j**2 + 2\/3*j**3 - 1\/4*j**4. What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 - 1615*v - 1 + 6*v**2 + v**2 - 26*v**4 + 1616*v to z*v**4 + k*v**3 + h*v**2 + f*v + g and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 4, m: 7, c: 6}. What is prob of sequence dl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 5537872.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 352*g**3*k**2 + 13*g**3 - g**2 + g*k**2 - 260*g*k + 12*g wrt g.\nAnswer: 2112*k**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312\/195*(-315)\/(-18).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2149295, 3, -4, 5.\nAnswer: -4, 2, 3, 5, 2149295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (0 - -5))*1. Let r be f\/6 - 16\/12. Let k(u) = 5*u**2 + u. Is 4 a factor of k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*n = 3*i + 33, 2*n = -5*i + 231. Let r = -27 + i. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*x + 3*n, -6*n + 10*n = 4*x + 24. Let u(b) = -b**2 - 8*b - 13. What is u(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49551 divided by 2.\nAnswer: -49551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2147363226 - 2147363226 - 3*j + 2*j**2 + 3*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 3, v: 7}. What is prob of sequence yvy?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/30)\/(68\/(-680)) + 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((sqrt(600)\/sqrt(12))\/sqrt(10)) + (sqrt(192) + 0 + (sqrt(192)*-4 - sqrt(192))**2 - sqrt(192)).\nAnswer: sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-200)\/(-8))*1*(0 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**4 - 104870*x**3 - 733920*x**2 - 1572570*x - 943515 = 0.\nAnswer: -20967, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(30) - ((sqrt(30) - sqrt(120)*6) + sqrt(30)))*-3)\/(4*(sqrt(6) + -6*sqrt(24)\/sqrt(4))*1).\nAnswer: -33*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -44*s**2 - 151*s - 290. Give j(-4).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83.8 + -10.8. Let q = 72.9999942 - w. Round q to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28166 + 28166 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 2*w - 2. Let g = -19 + 8. Let o(m) = -3*m**2 - 7*m + 5. Let f(n) = g*z(n) - 4*o(n). What is the least common multiple of f(-6) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -967*b = -986*b + 12350. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.3 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54025.1 - 1?\nAnswer: 54024.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2057 - 0.1057. Which is the third biggest value? (a) -0.02 (b) r (c) -0.1 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y - 5*n = 76, -y - 4*n - 3 = 0. Let k be (-2)\/4 - 140\/16*-2. What is the greatest common divisor of y and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.8188mg in nanograms?\nAnswer: 431818800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.5627 centuries in years?\nAnswer: 17656.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23302020 (base 6) to base 12\nAnswer: 2aa910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7881219?\nAnswer: 3, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6196875352.99999788 + -6196875235. Let y = -118 + k. What is y rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Suppose x + 3*x = -20. Let y be n(x). What is the second smallest value in -1, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, -3, 0, 4.\nAnswer: -23, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(95)*-6 + (sqrt(95)*-2 - sqrt(95))*2)\/(sqrt(55)\/(sqrt(1584)*-3)) + -5).\nAnswer: 5 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 183 = 193. Let s = -57 + y. What is the third derivative of 37*t**3 + 7*t**5 - s*t**3 + 7*t**2 wrt t?\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0*t**5 - 11 + t**2 + 0*t**4 - 5\/3*t**3 - 4*t - 157\/42*t**7 + 0*t**6. Find the second derivative of n(v) wrt v.\nAnswer: -3140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + 28 - 50) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3014 or -18079\/6?\nAnswer: -18079\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-117)\/(0 - (-2)\/(-2)). Calculate the greatest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 - 90*g = 0.\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3189.97001 to the nearest ten.\nAnswer: -3190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0*r + 6*r + 3 - 5*r. Is q(9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2.9, -0.5, 17, -3?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6751*i**2 + 6*i + 8. Let s be x(-4). Round s to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12 + 15*w**4 + 4*w**4 + w**2 - 7 + 3*w**5 + 7*w**4 - 16*w**4 wrt w.\nAnswer: 180*w**2 + 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + (-1 - 1) + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3 and 39\/6*(-14)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-20) - 2\/15*6. Suppose 4*f = 6*f - 6. Sort -3, 1, f, m in descending order.\nAnswer: f, 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 3, 2\/31, -1.8, 0.2?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4368, 1, 134.\nAnswer: 1, 134, 4368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 5. Let v be k(-5). Let r = -4394 - -4344. Let y be ((-8)\/10)\/(v\/r). Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492231.\nAnswer: 13, 79, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttddtdttt. Give prob of sequence tttt.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 240.\nAnswer: -1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 2566592*g - 411712155904.\nAnswer: -4*(g + 320824)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -4705 = -4645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65438 + 65438.103547. Let y = 249.906753 + m. Let u = y - 250. Round u to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 + 0*w**2 - 2*w**4 + (-6*w**4 + 2*w**4 + 2*w**4)*(2 - 2 + 1))*(0 + 137 + 34) as b*w**2 + n*w + k*w**3 + u + q*w**4 and give q.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-2*p + 1 - 1).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((245\/(-10))\/7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - k + 0*k)*(-73*k + 801 - 801)*(2*k**2 + 0*k**2 - 3*k**2) as o*k**2 + l*k + s + i*k**4 + h*k**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from npno.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226693 to the power of 1\/2, to the nearest integer?\nAnswer: 1796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 61*p + 18 = 0. Solve -3*y - 16 = 5*x + 12, -4*y + p = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 23*j**3 + 2*j - 2. Let p(u) = -402*u**3 - 35*u + 35. Let x(n) = -806*n**3 - 70*n + 70. Let o(d) = 13*p(d) - 6*x(d). Determine -35*f(b) - 2*o(b).\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1134 - 1156 - (-22 - -49 - (-1 + 6)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 57017*n - 513179. Determine i(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.02 (c) 2\/5 (d) -3\/3305 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0)\/(2\/200*-4). Suppose -m - 4*a = 17, -2*a - z = 3*a. Factor 3*f**m - 9*f**2 - 22*f + 15*f + 13*f.\nAnswer: 3*f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 2601\/10 - 252. Find the common denominator of x and 139\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -819367 and -485.5217.\nAnswer: -819852.5217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {n: 2, r: 2, o: 9}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1109, 1\/13, -1467.\nAnswer: -1467, 1\/13, 0.1109, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5518237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*a - 4*y + 1, 41 = 5*a - 4*y. Solve -w + 10 = 4*w, z = a*w - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 22*m + 21. Suppose -6*x = 2*x - 40. Solve x*r - m = 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14477 (base 8) to base 12.\nAnswer: -38a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8591165659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 10 + (0 + 1 + 2)*(-2 - 1 + 2) + 9 - 1 + 0)*((2*g - 4*g + 3*g)*(-5*g + 5*g - g) - g**2 + 11*g**2 - 3*g**2).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 1 = -2*m + 5 - 0, 0 = 5*m + 14*i - 73 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 855*h**3*r**3 + 13*h**2*r**3 - 7*r**3 - r + 38 wrt h.\nAnswer: 2565*h**2*r**3 + 26*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281421.5 * -5.\nAnswer: 1407107.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126693238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6054 divide 262079339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5246*316\/((-16)\/4). Does 7 divide (-16)\/18 + 1 - j\/(-387)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1610.91 + 1628. Let w = 15.8 + 1.2. Let q = a - w. Round q to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4555 + -1363. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*3 + -12 + 14. Let r(g) = 2 - 36*g**2 + g**3 + 2 + 32*g**2. What is the remainder when r(m) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*d + 1127 = 1142, -4*d - 12 = -f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 66*u**2 + 917*u + 716. Give d(-47).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i**3 + 7*i**2 + 5*i - 165. Let j(v) = -10*v**3 + 6*v**2 + 4*v - 165. Let k(l) = 2*b(l) - 3*j(l). What is the second derivative of k(q) wrt q?\nAnswer: 36*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296806 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: Suppose 0 = -3*y + 6, -5*p + 4*p + 4*y - 10 = 0. Suppose -6*a + 1 = -17. Let h be (-3)\/(-2)*18\/54. What is the third smallest value in a, h, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 37. Calculate the remainder when 50 is divided by j\/2*(-9 - -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, v: 6, y: 1}. What is prob of sequence yv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2 = -7*m. Solve m = -6*b + 4*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372467 (base 10) in base 4?\nAnswer: 1122323303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.04 - -0.04. Let r = f - -8.5. Let t = -0.5 + r. Which is the third smallest value? (a) t (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = 14*u - 27. Solve 0*g + m - u = 3*g, -4*g - 4*m = 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3730, 3616, 3380, 3016, 2518, 1880?\n\"Answer: -l**3 - 55*l**2 + 58*l + 3728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -46, -74, -12 in increasing order.\nAnswer: -74, -46, -12, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.91 at most -1\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62603.16 years to centuries.\nAnswer: 626.0316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 5*r - 10*r + 3 + 2. Suppose -c + 3*c + 10 = 0. Let d be j(c). Solve d*l + 4*l = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*g + 291*g + 908*g + 2*g**3.\nAnswer: 2*g**3 + 2414*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 590.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 18 = -o, 0 = 4*m - 3*o - 7 - 9. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 223990230 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 265 = -r, 0 = -3*g + 3. Calculate the greatest common divisor of 33 and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) 11 (c) 0.1 (d) 2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1136, 0, 11, -2 in increasing order.\nAnswer: -2, 0, 11, 1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*v = -16, -2*v = -b + 2*b + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, t: 4, m: 5}. What is prob of sequence qtm?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 111*r - 667. Let a be z(61). What is o in 3\/4*o**2 + 1\/4*o**a + 0 + 3\/4*o**3 + 1\/4*o = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5\/12 + 11*n**4\/6 + 47*n**3\/12 + 2*n**2 = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2 + 5*f + 3. Let q(i) = -i**3 + 8*i**2 - 3. Let c be q(8). What is the remainder when o(-3) is divided by (-2)\/(-6) - 32\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -39673 - 23263. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + -14 - 14) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 23 - (0 + 15) - -15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7853 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 12. Let m be u(6). Let z = m - 7. Is -3 + (z + 94)\/3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/27986 and -21\/11.\nAnswer: 307846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10515 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8*c - 3*c - 42 = 0, -5*w - 2*c = -70. Calculate the highest common factor of w and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29566525*q**3 - 4302474.\nAnswer: 88699575*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**2 - 1552*l + 7337. Give n(217).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 137*o**2 + 139*o**2 - 15*o - 250*o**2 - 10 in the form w*o**2 + k*o + n and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 18 = -4*x + 6*x, 8 = -2*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1629, 1672, 1715, 1758, 1801, 1844?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8460 - 1 - (85 + -96).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.1 - 13. Which is the smallest value? (a) 0 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -57*w - 332. What is i(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -8*p - 4*y + 11, 2*p + 6 = 2*y. Solve -2*b + 5*b + l + p = 0, -2*l = 3*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g - 1. Let t be (2 - 3)*(6 - 0). Let q(z) be the second derivative of -13*z**3\/6 + z**2 - 8*z + 33. Determine t*q(d) - 11*y(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m + 385 = 0. Suppose -3*t + m = -4*g - 32, -4*t + 104 = 5*g. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.45*1944.3.\nAnswer: -2819.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -77200000 rounded to the nearest 1000000?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57 - 13398\/(-232)) + 3\/4. Sort 5, p, -3578 in descending order.\nAnswer: 5, p, -3578","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -179871, -179356, -178841?\n\"Answer: 515*l - 180386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1203 + -807. Let u = -396 + n. Solve -3*f + u = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379 + 356 = -4*k + 5*n, -6 = 3*k + 4*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 1.779?\nAnswer: -2.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1000100010 (base 2) to base 16\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*u**3 - 5*u**3 - 55*u**2 + 57*u**2 + 19*u + 0*u**3 as o*u**3 + b*u**2 + t + n*u and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 10 = -4*y. Let i(h) = h**3 + 3*h**2 - 5*h - 2. Let w be i(y). Solve -j = 3*x - 2 - 4, x + 4*j - w = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919 is divided by 153?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9\/2 (b) -0.3 (c) -2\/13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 != 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/9)*1940\/10185?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 3}. Give prob of sequence ll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k. Let b(g) = 188*g + 1. Determine r(b(v)).\nAnswer: 2256*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 21*q**2 - 9*q - 17. Let b(c) = 2*c**3 - 20*c**2 + 8*c + 17. Let y(m) = -4*b(m) - 5*d(m). What is the units digit of y(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 968 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: Express 111 + 105 - 5*v + 2*v**4 - 217 in the form r*v + d*v**4 + o*v**2 + p + m*v**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(1\/38))**49 assuming l is positive.\nAnswer: l**(49\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 53 + 0 + 2 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*q**4 + 10\/9*q**3 + 0*q + 0 + 4\/3*q**2.\nAnswer: 2*q**2*(q + 2)*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8051\/2 >= 4026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1428 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.842235 decades?\nAnswer: 28.42235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*m - 31, 4*m - 2 = -2*f - 6. Let r be (2\/f*8)\/2. Solve 2*p = 4, -r*g + 3*g - 7 = -4*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 6*u + 5*t - 2 = 0, 3*u + 6 = -3*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/3))**(4\/7)\/((v**7*v)\/(v\/(v\/(v*v**(-2\/5))))))\/(v**12*v\/((v**(-7)*v)\/v)*v)**(-2) assuming v is positive.\nAnswer: v**(3673\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 26037279\nAnswer: -260372.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1392\/88 + -16 - (-1)\/((-33)\/(-138)). Which is smaller: 29\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55 - ((3 - 2) + -2). Let o = y + -282\/5. Which is the third smallest value? (a) -2\/7 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-171))\/(4\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u - 46*u - 57*u = -366. Solve u*b = -6*h + 9*h - 5, 3*h + 3*b = 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-2 + sqrt(35))\/sqrt(5)*1)**2 - (0 + -2*-1*sqrt(7)).\nAnswer: -2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25376981 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2726392885 to the nearest integer?\nAnswer: 52215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 - -1.7. Which is the nearest to z? (a) 1\/3 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 + 27*a**3 + 144*a**3 + 155*a**3 + 2*a + 249*a**3.\nAnswer: 584*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r. Let k(p) = -16 - p + 33 - 17. Give z(k(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27350129*u**2 - 18928483?\nAnswer: -54700258*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*q - 4*t - 22, 2*q = -5*t - 25. Let h be (-1416)\/(-15) - (-2)\/q. Let s = h - 60. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*n + 1. Suppose -30*q = -34*q. Suppose 5*x + 2*r - 21 + 8 = q, -4*r = -16. Solve -4*u - x = 3*i, i - n*u = 4*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Suppose f = 3*g - 5. Solve 2*x + g = 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-4))\/(-4)*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, l: 8}. What is prob of picking 2 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.174 and 10.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35 - 4) + 33)*(-2)\/(-56).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13668 + -7978. Calculate the greatest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49552693 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5453447919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 7*z - 5. Let a be u(5). Let r be (8\/(-30))\/(10\/a). Which is bigger: -1\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 533\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1661459569, 1661459568, 1661459567, 1661459566, 1661459565?\nAnswer: 1661459564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(162) - 5*sqrt(162)) + sqrt(162)) + sqrt(162))*-5)\/(sqrt(900) + (sqrt(900) - 1*sqrt(900)*3) + (sqrt(900) - 2*sqrt(900) - sqrt(900))*-6).\nAnswer: -39*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsg when three letters picked without replacement from sgggsggggsgg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959374207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 31 (b) -0.085 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/9 + 7*d**3\/9 + 4*d**2\/3 - 4*d\/9 - 16\/9.\nAnswer: (d - 1)*(d + 2)**2*(d + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1184 and 25\/48?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a = 1351 - 3903. Which is bigger: 59 or a?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 + 33450824*c - 419609109854616.\nAnswer: -2*(c - 25088118)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11201210102 (base 3) to base 14.\nAnswer: 25d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 - 271. What is the biggest value in p, 128, -1\/6, 5\/4?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2302, 2717, 3132, 3547, 3962?\nAnswer: 4377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 + 277. Calculate the highest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539459827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 201022?\nAnswer: 201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j**2 + 49*j + 7. Suppose 4*f - 22*f = -126. Calculate the remainder when 146 is divided by p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11265 + 30701. Does 40 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - h**2 + 1. Let r be u(1). Let q(p) = -3*p + 1. Let i be q(r). Let o(b) = 5 + 1 + i*b**2 - 2*b - 1 - 6. Calculate o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + 46*w**2 - 79*w + 769. Give j(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35, 90, 157, 236?\n\"Answer: 6*w**2 + 37*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -a - 4*a + 4*h, -2*h = 2*a. Let b = -299 + 305. What is the third derivative of -b*q**2 + a*q**5 + 0*q**2 + 7*q**5 wrt q?\nAnswer: 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -673 - -3377\/5. Let i(n) = -n**3 + 5*n**2 + 8*n - 9. Let l be i(6). Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*i**2*x**6 - 2*i**2 - 169*i*x**2 - i wrt x.\nAnswer: -11640*i**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, q: 2, b: 1}. Give prob of picking 2 q.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 58 + 76 = 53*f. Solve 0 = 5*s + r - f, 73*s - 10 = 70*s - 5*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = 36. Suppose 220 = -w*b + 12*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 5514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 98148, 196257, 294366?\n\"Answer: 98109*j + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - o + 4. Let y be r(-2). Let s be 48\/90 + y\/(-10). Find f such that -f**4 + 0*f - 1\/3*f**2 + f**3 + 0 + s*f**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 != 376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (271\/4)\/(6\/(-68)). Let p = 766 + n. Let h = 2\/1681 - -35269\/26896. Find the common denominator of h and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*b - 64142, -3*v - 3*b + 18688 = -19808. List the prime factors of v.\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 57 + 2 = -3*b, 3*b - j - 47 = 0. Solve -11*a = -6*a - b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + -3 + (413 - 421)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 210833\/316254 + 1\/105418. Factor 4\/9*a + 2\/9*a**2 - c.\nAnswer: 2*(a - 1)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(117))*4 + 4.\nAnswer: 8 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680008490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 184467443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*(-1*sqrt(68) + sqrt(68) - sqrt(68)) - (sqrt(68) + sqrt(68)*-1 + sqrt(68))*4)\/((sqrt(4) - sqrt(576)*1)*2))**2 + 3.\nAnswer: 5249\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3 + 9 = -3*t, 0 = 4*l - 5*t - 10. Suppose 5*a + 2*k + 31 = 0, 15 = -7*k + 2*k. Sort l, a, -1 in increasing order.\nAnswer: a, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n + 2*n - 5*n + 2 + 2*n + n. Let r be (-1)\/(0 - (-1)\/(-3)). Let c(y) = y. Suppose -2*l + 5 - 3 = 0. What is l*j(f) + r*c(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7572.1, 1.2, 0.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 20.38276t?\nAnswer: 20382.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 + 4*p**2 + 2*p + 5. Let l(t) = 4*t**3 + 3*t**2 + 2*t + 4. Determine 3*l(a) - 2*r(a).\nAnswer: 4*a**3 + a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328387407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -771 - -1228. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 829 or 1\/84?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9918743.\nAnswer: 9918743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*(-2)\/40)\/((-15510)\/124080)?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 11*j**2 + 7*j - 75. Let v be k(11). What is the highest common factor of 1250 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7.04 (b) 0.07 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/57)\/((6608\/1064)\/(-59)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, k: 1, e: 1, n: 8, q: 5}. Give prob of sequence eccc.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 2*p + p**4 + 1 - 3*p + 0*p + p**2 - 2*p**3 as g + w*p**3 + h*p**4 + q*p + i*p**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l - 8 - 21 - 23*l.\nAnswer: l - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7708 or 7707?\nAnswer: 7708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*(-4 + (-2*sqrt(500) + sqrt(500))*2) + 4)*-3)**2 + -5.\nAnswer: 17995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -26. Let z(b) = 5*b - 1. Is z(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + (-498)\/(-12))\/(7\/2786) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -377 + 265?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -507 + 513. Suppose 10*l + 28 = 17*l. Which is the smallest value? (a) 0.4 (b) l (c) -3\/8 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.249218 from -10.\nAnswer: -8.750782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 7, -5, -11, 39 in ascending order.\nAnswer: -11, -5, -3, 4, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -6, 26, -16, 1\/9, -9\/88?\nAnswer: -9\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + l**2 - 3*l**2)*(3 - 3 - 2*l) - 4491 + 148*l**3 + 4491 + 2*l**2.\nAnswer: 144*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffdfddmfffddffffddd. Give prob of picking 2 d.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, u: 1, a: 3}. What is prob of picking 1 u and 2 v?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 91 + 16 - o**2 + 2 + 31*o. Let p be z(27). Solve 3*t - 16 = -p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 + 1)*(5*g**4 + 15*g**4 + 5*g**4) as w*g**4 + z*g**3 + m*g + v + a*g**2 and give w.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 38570.037 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 64. Let g = 96 - y. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 31*y + 84. Let k be u(25). What is the greatest common divisor of 52 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -w + 2 - 3, 5*w + 5*a + 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from dilclyyf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 135, 243, 351, 459, 567?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66*(-1)\/(-882)*21?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvvt when four letters picked without replacement from vttvtttttttttvvttv.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5592 and 34018?\nAnswer: 408216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4cc2 + -1787?\nAnswer: -6779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 - 14901020*t**4 - 27755019827996*t**3 + 111020243223256*t**2 - 138775367358434*t + 55510158864196 = 0.\nAnswer: -3725257, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 + 2*w**2 + 3*w - 2. Let t(l) = -5*l**3 + 3*l**2 + 4*l - 3. Suppose -37*n - 174 = -26. Give n*d(f) + 3*t(f).\nAnswer: f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + sqrt(432) - sqrt(432)) + sqrt(432) + -4 + -5 + -1)**2.\nAnswer: -216*sqrt(3) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:29 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/82 and -69\/10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 196365+96268\nAnswer: 292633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 19258881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = -5*o + 4, 3*o - 5*b = -15. Let n(h) = h**2 - h. Calculate n(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 8 = 2*t, -2*z = -t + z + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.211158239 rounded to 5 decimal places?\nAnswer: -0.21116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532525403?\nAnswer: 532525403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011*0.4.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 - 10)*-1*113\/(-3). Which is smaller: 568\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + 2*q. Let d(p) = -12*p**2 + 17*p + 13. Determine d(b) - 6*o(b).\nAnswer: 6*b**2 + 5*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Let o = p - 6. Let h = 2.0002 + o. Round h to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552809264 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4 = 2*t. Let p = -110 + 130. Calculate the lowest common multiple of p and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3\/10)*t\/t**(-1\/3)*(t\/(t\/t**0))\/(t*t\/(t\/t**(-1\/5))))\/((t**(-3\/5)\/t*t*t\/((t**(1\/3)*t*t)\/t))\/((t\/(t**4*t))\/(t\/t**(2\/17)))) assuming t is positive.\nAnswer: t**(-1079\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -28*a**3 + 5*a**2 - a + 5. Let w(k) = -14*k**3 + 2*k**2 - k + 2. Let p(i) = 2*u(i) - 5*w(i). What is the second derivative of p(o) wrt o?\nAnswer: 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**2 - 1. Let i be o(1). Let z be 24\/33*5\/i. Is -1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (8 - 2)) + (-3 - (-4 + -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 222?\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 7 - -7 - 1) + -4 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 3*y - 3*y + 19 + 2*y. Let l be 1 + 11 + 0 + -1. Let m be c(l). Solve 0*g = g - x - 5, 0 = -3*g - 4*x + m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*o - 4*u, 2*o + u - 15 = -3*o. Let m be (-2)\/o - 6*(-2)\/4. Let s be (-8)\/(-5) - (-10)\/25. Solve m*i + 5 = -s*i + 3*g, 3 = -i - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 3 + (-2 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-2)\/((-38)\/(-76))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -440*s. Let p(j) = 7*j**2. Give p(z(k)).\nAnswer: 1355200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(12\/11))**(5\/18)*(y*y\/y**(-7\/6))**(1\/5) assuming y is positive.\nAnswer: y**(103\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + h - 21 = 0, 28*a = 26*a + 5*h + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 263140.\nAnswer: 1315700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -31*n**2 - 7*n. Let z(w) = -46*w**2 - 11*w. Determine 8*s(d) - 5*z(d).\nAnswer: -18*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-3\/10)*r*r**3*(r*r*r*r**(-1\/3))\/r*r**(3\/5) assuming r is positive.\nAnswer: r**(227\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 - 46*r**2 + 13*r**2 - 4*r + 10*r**2 + r to the form f*r**2 + v*r + p and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*d + 4*h - 4, -d + 23 = 4*h. Calculate the greatest common factor of d and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d + 3*u - 6, -u = 4*d + 1. Suppose n - 30 = -d*n. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8536 + 8538. What is the second smallest value in 214, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -294*m**3*o**2 - 3*m**3 - 2*m*o + 12*o**2 + 53 wrt m.\nAnswer: -882*m**2*o**2 - 9*m**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/((-15)\/((-450)\/84))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -414*t - 13. Let g be r(-3). Suppose -13*a + 3321 = -g. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*w + 16 = 0, 4*g - 5*w + 52 = -10*w. Let z = g + 8. Does 25 divide -3*1 - (z + -37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 j, and 1 h when four letters picked without replacement from {t: 1, f: 1, j: 3, u: 1, g: 6, h: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 3 - 3)*(6 - 5 - 2) + 0 + 6 - 4 + (-1 + 1 - 1)*(-4 + 2 + 4) + 5 - 2 - 2 + 2 - 2 + 3)*(13*u - 4*u - 3*u) to c*u + m and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0 - 3)\/(27\/(-36)). Suppose 2*z = 5*z - a*z. Solve z = -k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i = 21*i + 100 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 56.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 15, 29, 43, 57, 71?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -185767*t**3 - 156070 wrt t.\nAnswer: -557301*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.094 in 1\/4, 3\/8, -0.5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/3 - p. Let l(a) be the third derivative of a**4\/24 + 77*a**2. Give g(l(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:39 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 47.12. What is y rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.65 and 0.2.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19101*o**5 - 2*o**3 - 65187*o**2?\nAnswer: -1146060*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 27, -2\/7, 0 in descending order.\nAnswer: 27, 0, -0.06, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:53 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3 + (-4)\/(-6). Let l = 48844 - 48845. What is the second biggest value in 0.3, l, 1\/9, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-619969)\/(-62) + -1*2\/(-4). Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.909 (b) -2 (c) -375\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3133 is divided by 254.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 20*w = 2*z - 2*w + 98, 17*z = 29*z + 5*w + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(27) + sqrt(243)\/sqrt(324))**2 + 4 - (sqrt(147) + -1*(sqrt(147) + 0)**2 + (sqrt(147) + sqrt(147) + (sqrt(147) + 1 - sqrt(147)) + 1)**2)).\nAnswer: -4851\/4 - 189*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 - -106. Let v = -33 - -33. Suppose -q*b = -4*d - v*d - 4, -5 = 5*d - 5*b. Which is smaller: 1.7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(833) + 1.\nAnswer: -6 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 2. Let u = 716 + -720. Calculate b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 take away -0.017?\nAnswer: -1.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(-4*sqrt(147)*2*-5 - ((sqrt(147) - (sqrt(147) + 1))*5 - (-1 + sqrt(147) + -4))**2).\nAnswer: -5292 + 10080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 117889789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0222492653 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r**2 + r + 4. Let f be a(-2). Let g(o) be the first derivative of 1\/2*o**f + 4*o + 1. Give g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 57 (b) 3 (c) -1\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6. Let m = u - -1. Let g(l) = -6*l + 1. Is g(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**2. Let v(n) = -9*n**2 + 5*n - 5. Let y(a) = -4*a**2 + 2*a - 2. Let f be -6 - (-9)\/(27\/12). Let h(b) = f*v(b) + 5*y(b). Calculate l(h(i)).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13811716 divided by -4.\nAnswer: -3452929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 13*i**4\/24 + 46*i**2 + i. Let f(a) be the second derivative of -a**4\/6 - 11*a. Calculate f(h(x)).\nAnswer: -338*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + 1 + (1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2489833.\nAnswer: 773, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d57c5 (base 14) to base 15.\nAnswer: -a2768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*a - 109. Suppose 7*o - 80 = a. Differentiate o*i - 14*i - 8*i**4 + 10 + 0*i**4 with respect to i.\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f - 297*f - 11935 = 136*f for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42325131 (base 7) in base 15?\nAnswer: 4ac9d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00477195 rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + -1*-3*sqrt(7)*1 + sqrt(847) + 1*sqrt(847) + 3).\nAnswer: -4 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/((-13)\/(-156))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) + 2 + -1)) + sqrt(343) + sqrt(343))**2 - (-4*sqrt(28) + -1 + sqrt(847)).\nAnswer: -31*sqrt(7) + 1374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-6))\/(233\/(-50328)*24)?\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1256.000743 + 1256. What is i rounded to 5 decimal places?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -17*n**3 - n**2 - n. Let q be t(-1). Suppose 13 = 5*c - q. Let d be (c\/4)\/(3\/(-4)). Let s(o) = 3*o + 2. Calculate s(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295431.848 rounded to the nearest one thousand?\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**3 - 2*v**3 + 0*v**3)*(6 + 0 - 9)*(2 - v - 2)*(-1 + 1 - 1) to the form b*v**3 + l*v**4 + g*v**2 + z + a*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - p - 20 + 0*p + 98*p**2 - 3.\nAnswer: 98*p**2 - p - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 2*y**3\/3 - 2. Let m(d) = -3*d**2. Give m(h(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-60)*56)\/((-6)\/3*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*u + 53, -b = -2*u + b + 32. Let i = u + -10. What is the greatest common divisor of i and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 7*b = 5*b - 16, -5*t + 8*b = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -2 - ((15 - 11) + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 12:57 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:02 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 5*y**2 + 5*y - 3. Suppose -g - 3*g - 8 = 4*h, 4*g - 12 = 0. Let m = -5 - h. Suppose -3*k - 2*k = -2*d - 12, m = -5*k + 20. Give i(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*u + 1 = -243*u + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115709 is divided by 7186.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in 0.4, -9, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 25*l. Let c(w) = 3*w. What is c(o(k))?\nAnswer: 6*k**2 + 75*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -3 (c) -806 (d) 1\/4 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/428890 and 28\/815?\nAnswer: 69909070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 328, 366, 378, 352, 276, 138, -74?\n\"Answer: -2*i**3 - i**2 + 55*i + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176250041?\nAnswer: 11, 1759, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0692839149 rounded to 4 dps?\nAnswer: 0.0693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x)*(2 + 597*x + 756*x - 158*x).\nAnswer: 1195*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 141784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13183\/14 - -941. Let g = -40 + 12. What is the common denominator of 16\/g - (-3 - (-2841)\/210) and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3871 + -3866 + 1 + 1 + (-7 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*s**2 - 54*s**2 - 348*s**2 - 167*s**2 + 13*s**2.\nAnswer: -742*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z**2 + 9*z - 16. Let j(l) = 4*l**2 + l + 1. Let x(d) = -3*j(d) + r(d). Let v be x(3). Solve 0 = -v*k - 0 - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -34051224?\nAnswer: -34051232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -3, -1.301, -11.5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**4\/3 - 76*h**3\/3 + 3532*h**2\/3 - 3284*h\/3 - 2296 = 0?\nAnswer: -41, -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 9*g**5 + 17*g**4\/4 + 21*g**2\/2 + 62*g + 181. Find the second derivative of f(v) wrt v.\nAnswer: 540*v**2 + 102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -17 (b) -0.1 (c) 32 (d) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -17. Let a be (-9 + 0)*r\/3. Suppose a*u - 280 = u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5611*j. Let r(f) = -1750*f**2 + 29. Determine c(r(o)).\nAnswer: 9819250*o**2 - 162719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.6 - 234.6. Which is the third biggest value? (a) -3\/7 (b) -2\/15 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 11) in base 13?\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 4*g - 12, v - 21 = 5*v + 5*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/7)*a**2*(a*a**7)\/(a\/((a\/a**(-2\/9))\/a)) assuming a is positive.\nAnswer: a**(545\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5742 and 139606?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + ((-2)\/(-2) - -3). Suppose -4*a = 5*n - 58, -2*n + 7 + t = 5*a. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 1212 = 12*o. Is 8 a factor of o\/(-6) + 108\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:12 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 5*u - 10, -7 = 13*q - 8*q + 11*u - 29 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = -7*r + 3*r, 4*z - 4 = 4*r. Suppose 3*b = -4*g + 76 - 22, -g + b + 10 = z. 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 the thousands digit of 187031152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from niivihiivqvnivniniii?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a341 - 803?\nAnswer: 19b3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 12:27 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 7 + (-17 - -48).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 436 - 236. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 168 = 17*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 957 and 20625.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1419134 and -27\/213725.\nAnswer: 35478350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3153 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 7\/116, -1\/5, -0.4 in increasing order.\nAnswer: -4, -0.4, -1\/5, 7\/116, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 0, -3*a + 5*n = -a - 142. Calculate the remainder when a is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/5)*t)\/t)**(1\/18)\/(t**(-1\/6)\/t**(-13)))**39 assuming t is positive.\nAnswer: t**(-15041\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -13*z**9\/126 - 221*z**5\/30 - 153*z**2. Find the third derivative of h(v) wrt v.\nAnswer: -6240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, -7, -83, 66?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -324 - -120. Which is bigger: -203 or c?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -1. Let o = -43.3579 - -0.0579. Let q = o + 60.3. Which is the third smallest value? (a) q (b) n (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 1.09.\nAnswer: -14.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-1)*30\/(-100)*10\/(-255).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -2302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c - 4. Let b(f) = -f - 8. Suppose 21 = -20*o + 13*o. Let k(j) = -4*j - 15. Let r(x) = o*k(x) + 5*b(x). What is 3*l(g) + 2*r(g)?\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083808 divided by -352?\nAnswer: 3079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-7))\/(18\/(-162))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4000 + ((-5 - 4)\/(-3) - -1)?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 1, 37 in decreasing order.\nAnswer: 37, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**9\/72 + l**5\/12 - 15*l**2. What is the third derivative of p(j) wrt j?\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284073 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 795551.04 times 2?\nAnswer: 1591102.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -16143?\nAnswer: 1\/5381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52911787013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5 - 1. Let a be u\/(-4)*(4 - 4). Suppose 0 = -a*h - h + 55. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)*(5\/10*-12 + -511). Calculate the highest common factor of r and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by -79.\nAnswer: -136\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 11*k + 10*k = 11, 0 = 4*j - 4*k - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -135 (c) -3 (d) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 2. Let y(o) = -3573*o - 4764. Give -2382*d(q) + y(q).\nAnswer: -1191*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22220 (base 3) to base 8\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 459 + 23. Suppose -183 = 17*r - 1458. Let q = k - r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 4. Suppose 2*x - 1 = 3*t, 4*x + x - 6 = 4*t. Let k = t + -6. Sort m, -4, k in ascending order.\nAnswer: k, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17412 plus -418.06?\nAnswer: 16993.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + s**2)*(-11 + 11 - 29*s**2) to d*s + b*s**4 + k + h*s**2 + z*s**3 and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-84))\/((-1)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let y(v) = 542659*v. Calculate y(m(w)).\nAnswer: 542659*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 936038 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59976)\/476*(-3)\/(-126)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*z + 130 = -16*z + 28*z. Sort z, -835, -4, 0 in increasing order.\nAnswer: -835, -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 13. Let s(h) = h**3 - 5*h**2 + h + 1. Let l be s(2). Let t be 6\/l*66\/(-4). List the prime factors of d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j**3\/3 - 20*j + 5143. Calculate b(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 36849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 2. Let t(i) = 1. Let b(v) = -m(v) - 2*t(v). Let c(a) = -7*a**2. What is c(b(u))?\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 48498.001 to the nearest 10.\nAnswer: 48500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (-73 + 76)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 5:40 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 908 and 12868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 28*n. Let l be s(-1). Let x = l + 47. Suppose u + 3*y = 22, -u + x = 2*y + 1. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(768) + -1 - sqrt(768)) + sqrt(768))*-1)**2 - ((sqrt(900)\/sqrt(2))\/(sqrt(18)\/(sqrt(3)*-1)))**2.\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4604852\/(-99905) - (-54)\/585.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/28)\/1 - (-2)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1666554*g + 4999635. What is q(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.34 + -0.3. Let g = 1.96 + m. Let k = -3.91 + -0.09. What is the closest to -0.1 in 3, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 35181 (b) 22\/17 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/(-10) - 2\/(-5). Let a(m) = 2*m + 4. Suppose -4623 = -53*j - 14*j. Calculate the remainder when j is divided by a(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134301 (base 5) to base 15\nAnswer: -19bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10348?\nAnswer: 2, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/8*((-15)\/6 - -3). Suppose 0 = -y*p - 2*p - 3*g - 4, 0 = -2*p + 4*g + 14. Let o(x) = x - 1. Let l(u) = 5*u - 4. What is p*l(m) - 6*o(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*k = 16, -14*r - 3*k - 12 = -13*r. Solve 13*w + 62*w + 3*w = r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x + 492*x**2 + 472*x**2 - 1466*x**2 - 2*x + 470*x**2.\nAnswer: -32*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 166*r**4 + 4.\nAnswer: 664*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -19. Let y(l) = -l - 9*l + m*l + 6*l. Let d(i) = 4*i - 1 + 1. Determine y(d(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.262 + -0.021. Round o to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236 + 1205. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 230 = -214. List the prime factors of u.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2. Let f = -315 + 317. Let s(q) = q - 1. Let n(v) = f*s(v) - i(v). Let w(g) = -g - 88. Give w(n(z)).\nAnswer: -2*z - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 16) in base 13?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -259, -1\/8, -3\/50, -2\/55?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - 2*k - 10. Let o be b(5). Let g = o - 19. Find l, given that 276*l + 17*l**2 + 43*l**4 - 252*l**3 - 542*l**2 + 842*l**4 - g + 300*l**5 = 0.\nAnswer: -3, -1, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 23. Let o be 4*25\/s*(-3)\/15. Solve 13*u - 8*u = -o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*r**3 - 234*r**2 + 14*r - 26016 wrt r?\nAnswer: 804*r - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075607?\nAnswer: 13, 17, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2 - 48*m + 576 = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2. Let u be h(-2). Let v(w) be the third derivative of 5*w**4\/24 - 5*w**3\/3 - 19114*w**2. Give v(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.118 and 52960060317.\nAnswer: 52960060317.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 231*c**4 + 4*c**3 + 4*c**2 + 74*c + 4. Let j(d) = -d**3 - d**2 - 1. Let a(h) = 4*j(h) + z(h). What is the second derivative of a(b) wrt b?\nAnswer: 2772*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q. Let z(r) be the second derivative of 0*r**4 + 0*r**2 + 0*r**5 - 1\/15*r**6 - r - 1\/6*r**3 + q. Find the second derivative of z(k) wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 - 7*k + 27 + 2*k - 3*k + 2*k + (-2 + 2 - 2*k)*(-2 + 5 - 1) + (-3 + 4 - 3)*(k - 2*k + 0*k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 6*p + 4. Let w be i(5). Suppose -8*z + 3*z + 100 = 0. Suppose -u + 4*c - z = 0, 0 = -0*c + 5*c - 25. Is u greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -18. Suppose -k - 5*c = 7 - 17, 0 = -2*c - 2. What is the least common multiple of k and u?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 8*o - 20. Let l be q(10). Solve l = -2*k + 4*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.4 - 12.39947. Round s to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**0)**(2\/47)*n**4\/((n\/(n*n**(1\/9))*n)\/n))**(9\/2) assuming n is positive.\nAnswer: n**(1775\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-5)\/(-150))\/(198\/25740)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3 = 4*x, 5167*m + 2 = 5169*m + x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2077756844.\nAnswer: 2, 491, 691, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**4\/4 - 107*f**3\/6 + 84*f**2. What is the least common multiple of 32 and v(-18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-844)\/1)\/((-5)\/(-10)). Is m greater than or equal to -1686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 3*b - 2. Let c be v(-4). Suppose 4*t + 5*w = 151, -3*w + w = -c*t + 80. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 6807 - 327. Suppose -2*j + u - 168 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 358344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/3460 and -53\/1957322.\nAnswer: 19573220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -387, 16, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3\/5 + 332*q**2\/5 + 6652*q\/5 + 6324\/5 = 0?\nAnswer: -51, -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2042419 is divided by 48629.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 291*m + 3912. Determine z(-13).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25126?\nAnswer: 2, 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, u: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1014.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-20)\/6)\/(4\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*i + 20 = 0, i + 11 = 3*t - 1. Suppose -t*b - 287 = -723. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by 3\nAnswer: -196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {s: 6, f: 2, h: 2, m: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/5 + (-1222)\/(-235). Does 13 divide -234*(y - 180\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3*u**2 + q**3*u - 4950763*q**3 - 123*q*u**3 - 2438*u**4 wrt u.\nAnswer: 2*q**3 - 738*q*u - 29256*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-2414)\/(-134) - 18). Let q(c) = -15*c**2. Let p be q(-3). Is s <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8*d**4 + 4*d**2 + 5*d**2 - 19*d**2 - 3*d + 8*d**2 - 2*d**3 in the form v*d**2 + k + y*d**4 + p*d + n*d**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9720 = -9*c + 2*h, 0 = -5*c + 4*h + 12147. List the prime factors of c.\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(68))**2 + sqrt(34)\/sqrt(8) + sqrt(136)\/(sqrt(24)\/(-1*sqrt(3))).\nAnswer: -sqrt(17)\/2 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42436 * -0.1.\nAnswer: -4243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 789 = -43. What is the least common multiple of r and 2416?\nAnswer: 4832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-9 - (3 + -5) - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7719303187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(32\/84)\/((-74)\/(-111))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1308 - -4?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -23685181 and -23685179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 6}. Give prob of sequence pppf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:04 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**2 + 25*h + 42. Let g(s) = 7*s**2 + 25*s + 40. Let r(p) = -7*g(p) + 6*q(p). List the prime factors of r(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -h + 8*y - 21, -5*h + 5*y - 25 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g + 178. Calculate w(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = -4*n, 3*n - 3*u + 4 = 13. Suppose 11 = -5*l + 26. Solve l*a - n = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*l, -2*l = 3*l - 2*j. Suppose l = 2*y - 7*y - 15. Let z = -3 + 4. Sort -1, y, z in increasing order.\nAnswer: y, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4845625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.90852 decades to years.\nAnswer: 179.0852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 43. What is the closest to -2\/5 in 0, -4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1501*l**3 - l**2 - 3*l - 9. Let x be a(4). Let y = x - -181201. What is y rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 3, m: 3}. What is prob of picking 2 r and 1 b?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -22. Let u(y) = 17 + y - j + y**2 - y - 11*y. Let p be u(10). Solve 0 = 5*q - 4*q - 3*w - p, -2*q + 2*w - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/300 - l**5\/75 + l**4\/15 + 8*l**3\/15 + 22*l**2. Solve y(s) = 0 for s.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120393732?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -72*(-1 - 2\/(-4)). Suppose 0*k = -4*k + g. Let o(n) = 221*n - 218. What is the remainder when k is divided by o(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3110 from -13174626.\nAnswer: -13171516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217945 by 43589.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -1. Are 0 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -518, -4, 4, -133 in descending order.\nAnswer: 4, -4, -133, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 497312 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -96*d**2 - 34*d + d**3 + 7 + 128*d**2 + 46*d. Let u(f) = 5*f**2 + 2*f + 1. Let w(i) = -6*p(i) + 39*u(i). Factor w(b).\nAnswer: -3*(b - 1)*(b + 1)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 times -2151.3516?\nAnswer: 709.946028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -90. What is the closest to -2 in -0.4, 2\/5, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -13*a**3 - 11245*a**2 - 71*a - 61436. Give u(-865).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 2*i**2 - i. Let p(l) = 2*l**3 - 3*l**2 + 2*l. Calculate -3*o(k) - 2*p(k).\nAnswer: -k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 - (-3 - (-3 - 0))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29078 is divided by 727?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 bigger than -3263729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 8*u**2 + 3*u - 4. Let n be s(8). Solve 2*l - n = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -6 - (2 + -7 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-14 - 68\/(-8)). Solve -4*o + 5 = -g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*z - 2*u, -5*z - 4*u = -0*z - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*r*r**(2\/5))*r)**(-19\/4)\/(r\/(r*r\/(r*r\/r**1)*r))**(-45))**(21\/5))**34 assuming r is positive.\nAnswer: r**(-341649\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:00 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 198, 188, 182, 180, 182, 188?\n\"Answer: 2*c**2 - 16*c + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9028.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b18223 - -2?\nAnswer: b18225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780963 is divided by 21693?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43524 and 18.\nAnswer: 43524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043.29 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1325 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-18))\/((-2)\/(-12)). Let x(u) = u**2 + 4*u - 10. Let m be x(c). Suppose -3*z - m = -o, -1 = -z - 0. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 664*f**3 - 604 with respect to f.\nAnswer: 1992*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eppppepeepppepppppe. What is prob of sequence epe?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m - 135 = 67*m. Let z(w) = 2*w**3 - 2*w**2 - 2*w + 3. Let x(o) = 8*o**3 - 9*o**2 - 9*o + 13. Calculate m*z(r) + 2*x(r).\nAnswer: -2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -77974080 rounded to the nearest one million?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104078, -207926, -311774?\nAnswer: -415622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4465345300 to the nearest one million.\nAnswer: 4465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:14 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 - 1032012?\nAnswer: -1031110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 5*t**3 - t**3)*(25*t**2 + 20*t**2 + t**2)*(4 + 0 - 2).\nAnswer: -184*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -3*-21*49\/9 + -7 and 84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, x: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 6. Suppose -48 = 4*r + 4*r. Let a be d(r). Suppose 0 = -a*z + 2*z. Solve z = s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(2\/8*(-56)\/(-14))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*y = 161, -4*s + 3*y + 179 = 2*y. What is the greatest common factor of 110 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56163.96 rounded to the nearest 100?\nAnswer: 56200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69670, 69669, 69668, 69667, 69666, 69665?\nAnswer: 69664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -627720 divided by -125544?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(6 + (-623)\/105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*o - 88, 5*o - 4*z - z - 85 = 0. Suppose 0 = -2*f + 5*f - 36. What is the least common multiple of o and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3922*w = 3955*w - 99. Factor 180\/7*b + 60*b**w + 426\/7*b**2 + 27\/7 + 21*b**4.\nAnswer: 3*(b + 1)**2*(7*b + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209\/(-57)*1308\/32373.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4))**(14\/3))**(-1\/19)\/((i\/(i**9\/i))\/(((i**(-1\/7)*i)\/i)\/i)*i**(-1\/4)*i*i**(1\/2)) assuming i is positive.\nAnswer: i**(2353\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d + 0*d)*(5 - 1 - 3) + 0*d - d + 2*d + d + 1 + d - 6.\nAnswer: d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -192081\nAnswer: 1\/192081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 477\/36985?\nAnswer: 477\/36985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*a*h**2*z - a*h - 389*a*z**2 + a - 491*h**2*z**2 + 2030*h**2*z + 6*h*z**2 + h*z wrt z.\nAnswer: -778*a - 982*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 417959*l - 418551*l + 836510*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091454 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 120?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 10. Suppose -z = -4*z + 5*q + 30, b*z = -q + 78. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-450)*-5*55\/66*57.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 5, d: 2}. What is prob of sequence cdf?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 539, -5, 11, -4, 1 in increasing order.\nAnswer: -8, -5, -4, 1, 3, 11, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-2)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {f: 1, l: 5, u: 3, t: 2, p: 1, v: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmccvcvcccym. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 14*g - 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 73.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -29. Calculate the remainder when 67 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -a - v, -2*a - 10*v + 6*v = -1184. Suppose k + 2*j + 291 = 2*k, 2*k - a = -2*j. Let h = -184 + k. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4987*d - 5273*d - 5720 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 1\/20*u**5 - 4*u**2 - 2*u - 5\/6*u**4 - 5\/3*u**3 + 0. Let q be r(11). Solve -q*w = 2*g + 10, w + 2*w + 20 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1058 + 1?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Suppose -3*c + 5*k - 18 = -44, 5*c - 32 = -3*k. Suppose p + c = 2. What is b(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 5*g - 22708 = -15*g. Is g at most 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 12:56 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 + x**2 - 6*x**2 + (2*x**2 - 3*x**2 + 3*x**2)*(-5 + 3 + 4) + 1 - x**2 - 1 - 4*x**2 + 5 - 5.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t - 78. Let r = 26 - t. Suppose -7*z + 412 + 1387 = r. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/42 and 109\/9870?\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dii when three letters picked without replacement from {i: 3, d: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -34, -11\/32, -2\/7, 0.12?\nAnswer: -11\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20684.57 milligrams to grams.\nAnswer: 20.68457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 312261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 191530565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19908 is divided by 19844.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 - 28*t**2 + 12*t - 105. Let l be a(-8). Solve -l = 157*z - 146*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 348 + -358. Let s = 14 + t. Solve -2*b + 6 = 0, b = -s*l - 4*b + 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - 30\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00486 and -447?\nAnswer: -2.17242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*f - 8 = 196 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 9 = 2*r, 354*r = -5*c + 357*r + 20. Put 5, c, 20, 0 in descending order.\nAnswer: 20, 5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8 less than 5429?\nAnswer: 5414.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1546, -3092, -4638, -6184, -7730?\n\"Answer: -1546*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61966626 + -61922870.441. Let y = f - 43778. Let b = y + 0.141. Round b to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 634 - 1b9?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 3304379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**2 - 11*y - 11. Let o(j) = -9*j**2 + 12*j + 10. Suppose -5*i = 4*t, 66 = 5*i - 5*t + 21. Let l(w) = i*q(w) + 3*o(w). Calculate l(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 7*l**2 - 18*l + 68. Give d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (192\/90)\/1 - 1\/3. Let c be (((-9)\/2)\/(-3))\/((-270)\/108). Let o = -23 - -27. What is the third smallest value in c, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 42 = -2*w, 2*c + 13 = 3*w - 20. Let g = 7 - c. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2484 and 943?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 40.96134l?\nAnswer: 40961.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 485784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*g - 4*g = -22, 13 = 3*i + g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*r - 29*r - 1450 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + 1 - -5. Let b be s\/(-2) - 6\/12. Let v(i) = -3*i + 3. Let g be v(b). Let h(z) = 2*z + 10. Let l(t) = t + 4. Give g*l(p) - 5*h(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 22*h - 38. Let d(r) = -r**2 + 10*r + 18. Let n(k) = 5*d(k) + 3*j(k). Factor n(v).\nAnswer: -2*(v + 2)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-13)\/j)\/j*j))\/j*j*j*j**6)\/(j**(-3\/11)\/j*j**(2\/21)\/j) assuming j is positive.\nAnswer: j**(5585\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66141?\nAnswer: 3, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9836 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 6. Let g be u(7). Suppose 0 = -q - g + 6. Let p be 8\/2 - 0\/q. Solve 4*k + 4*i = -9 + 21, 5*k - p*i + 12 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 2. Let o(d) = 770*d**4 + 2*d**3 + 25*d**2 - 6. Let a(p) = o(p) - 3*z(p). What is the third derivative of a(y) wrt y?\nAnswer: 18480*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 8*s**2 - 8*s - 9. What is t(8)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/40)\/((1\/30)\/1). Suppose r*k = 7*k. Which is the nearest to k? (a) -0.4 (b) 3\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -179632 - 2?\nAnswer: -179634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314042 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30433367?\nAnswer: 191, 159337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28761 - -29811. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 31. Factor -19 + z + 11 - 4*h - 3*h**2.\nAnswer: -(h + 1)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 9) + 1 + 1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152\/19 + 55308\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - ((-85 - 78) + 97)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (5 + 5 - 1)) + (24 - -12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*c**2 - 443 + 4*c**3 + 443 + 55*c**2.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3601339.708 to the nearest 10000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 l when three letters picked without replacement from ellvlllllvlllllvle.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 5, d: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 45?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402200 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 1426*i**2 + 390033*i.\nAnswer: i*(i - 1057)*(i - 369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(55 - 43)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbbxwxhwbbyyx. What is prob of sequence yh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 7*c. Suppose -2*k = -4 - c. Suppose l = 4*l. Solve 0*u + k*u = l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 578258.\nAnswer: 4047806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 78. Let r = -8552\/1449 + -11\/414. What is the common denominator of r and ((-106)\/12)\/(182\/q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -26. Which is the third biggest value? (a) g (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7296112 is divided by 614.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 - 21*j**2 - 18*j + 27 = 0.\nAnswer: -3, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5715, 11406, 17073, 22716?\nAnswer: 28335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 2. Let m be d(-2). Suppose 0 = -i + 3*h + 7, -i = m*h + 8. Let l(k) = -4 - 1 - 1 - 2*k + 4. Determine l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 6*b + 10.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 89\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 94*y**3 - 2822*y**2 + 98*y - 1146. What is d(30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-22)\/(-297) + (-897)\/27\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -30. Is 3972\/4 - 0 - (3 + i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + -3. Let a = -1.134 + -0.866. Let v = 0 + 2. What is the nearest to -0.2 in v, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183 - -269. Find the common denominator of 45\/4 and c\/(-54) - (-4 + 5).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3008455 divided by 2\nAnswer: 3008455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8501*n = 8514*n - 130 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1230698 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 3, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-4)\/120*1*56. What is the nearest to 1\/3 in a, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24198 + 52519. List the prime factors of y.\nAnswer: 127, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 223?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1432\/89061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 + 220. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 10 - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ea - -d3c?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4664734 (base 8) to base 14\nAnswer: -251936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-28)*-21)\/((-55)\/(-330)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 4*c + 9. Let r be n(-8). Let j(x) = x + 49. Let i be j(r). Suppose -i + 458 = 3*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d + -51?\nAnswer: -be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 7*i - 2*i, -3*k - 5*i = -1. Let a be (-2)\/(-3) + (-14)\/3. Put k, 1, a in descending order.\nAnswer: 1, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.028044*8.\nAnswer: -0.224352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -76. Let r = 16 + d. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01244938083 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19697 divided by -11798.\nAnswer: -19697\/11798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 4*m)*(4*m**3 + 0*m**3 - m**3) + (0*m + 0*m + 2*m**2)*(-2*m**2 - 3*m + 3*m) - 3*m**3 + 3*m**3 + 2*m**4.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19633743 to the nearest integer?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 1. Let u be p(-2). Suppose 5*h + u*s - 2*s = 5, -s = 3. Suppose h*f = -2 + 18. What is the smallest common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949*a + 927 = -516*a - 502*a - 108 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006387 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 45. Let o = -6 + b. Suppose 0 = o*r - 12 - 63. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-11 + 23 - -3 - 19)) + 24\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5209792980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6965*o + 805*o - 509*o.\nAnswer: 7261*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -7. Let x be u + (-3 - -10) + 0. Solve -2*g + x*g = -15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 3*s**3 - 4*s**2 - 4*s**3 - 3*s + 3. Let d be g(-3). Let n = -78\/11 - -357\/55. Sort -0.4, d, n in ascending order.\nAnswer: n, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**7\/1050 + 3*o**6\/40 + 481*o**5\/300 - 207*o**4\/40 - 529*o**3\/15 + 48*o**2 + 2*o. Solve l(i) = 0.\nAnswer: -23, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1\/7, -0.1, 81.\nAnswer: -26, -0.1, 1\/7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a8 (base 12) to base 5.\nAnswer: 32034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 2*h + 6*h + 6 + 3*h in the form u + x*h and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 23*d + 15 = 0, v - 28 = -5*d. Solve 8*y = v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/225*5*(-30)\/(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 2*m + 0*m + 4 - 4*m - 4 + (3 - 2 - 3)*(-2*m + 1 - 1) - m - 2*m + m + (-m + 4*m + 0*m)*(3 - 4 + 2).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r**2 + 7*r**2 - r**3 + 2*r - 3*r**4 + 7*r**2 + 4*r**4 as h*r**3 + s + f*r + t*r**2 + v*r**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000295757 to seven decimal places.\nAnswer: 0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.27 + 0.03. Let p = n - 4. Let h be ((-6)\/(-4))\/((-2)\/4). Which is the nearest to 1\/2? (a) p (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 4*g - 3. Let a be w(5). Suppose 1 - 3 = -a*b. What is the units digit of (-1)\/(8\/10 - b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*j + 15, 3*q - 33 = -0*q + 3*j. What is the units digit of (12\/(-8))\/((-3)\/q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -120, -118, -122, -132, -148, -170?\n\"Answer: -3*b**2 + 11*b - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -53*d - 7888. Let t be c(-149). Solve -13*a - t = 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4926 + -177283\/36. What is the common denominator of 83\/20 and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 44 + 51 - 47 - 49. Let f(s) = -15*s - 135. Determine -2*f(p) + 270*t(p).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 10*f - 51. Let d(t) be the first derivative of 3*t**4\/2 + t**2\/2 - t + 2. Calculate the remainder when f is divided by d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 580, 1167, 1688, 2113, 2412?\n\"Answer: -5*a**3 - 3*a**2 + 631*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.4 - -11.4. Which is the smallest value? (a) 0.4 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600796 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-994)\/(-2946) + 2\/(-6). Let x = g - 14245\/1473. Find the common denominator of -63\/8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69698800 is divided by 3253.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 41. Suppose f = 36*q - 35*q - 2. Solve 11 = -3*w + q*o, -5*w + 6*o = 2*o + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22006942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/52250 and -21\/80.\nAnswer: 418000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1390, -1397, -1414, -1447, -1502, -1585?\n\"Answer: -u**3 + u**2 - 3*u - 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316 and 5665090.\nAnswer: 11330180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14*w**2. Let n(u) = -2*u**2 + 14079*u - 16. Give n(x(v)).\nAnswer: -392*v**4 + 197106*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31595 + 0.40795. What is the biggest value in -7, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(1 + 138\/10). Let j = d - -41. Calculate the common denominator of -55\/6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*k - 27. Let u be -1*1 + k\/(-2). Suppose u*w - 60 = 2*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpcoj. Give prob of sequence gcoj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6201077 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114286501 + -204631328. Let g = l - -53644827. Round g to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 2824*f - 5645. Calculate p(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(2*g**2 + 5*g**2 - 5*g**2) - 3*g**2 + 5*g**2 - 4*g**2 - 213 + 58419*g**2 - 29211*g**2 - 29207*g**2 - 9*g.\nAnswer: -3*g**2 - 9*g - 213","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/4)*u*u**(-6)*(u**(-1)\/u)**(-2\/31))\/(((u**(6\/11)\/u*u)\/u)\/(u*u**(-9)*u))**24 assuming u is positive.\nAnswer: u**(-223303\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, o: 6}. Give prob of picking 2 o and 1 c.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 19935586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + (-1364)\/(-24) + 2\/12 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1260)\/(-432))\/((-5)\/(-4)))\/(1\/9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((o + o + o)*(0 + 0 + 5) - o - 3*o + 3*o)*(2 - 4 + 1) to the form z + b*o and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 + 1166968240171 - 1166968240171.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 6, -6, 36 in decreasing order.\nAnswer: 36, 6, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o + 2. What is d(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -10\/71 (b) 0.4 (c) 1\/5 (d) 27\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(5 + -1)*1. Let a be 1*(3 + v\/1). Suppose -a*g + 34 = 5*k, -2*k + 19 = 5*g - 2*g. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z - 4. Let q(l) = -3*l - 2. Let b(p) = -4*h(p) + 9*q(p). Let i be b(-4). Let g = i + -2. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/34389 and 5\/42031.\nAnswer: 378279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/45)\/((-1)\/(-25)). Suppose f - 5 = -5*w + 24, 5*f = -4*w + q. Let g(u) = -u**3 + 7*u**2 - 5*u + 2. Does 9 divide g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48735477.2 and 1.\nAnswer: -48735476.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 10*x + 25. Let r be a(11). Suppose -r*g = -11*g - 42. Solve 5*u - 5*m + 5 = 0, u + u + 2*m + g = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 8. Let s be 6\/21 + 1252\/28. Suppose -5*f - s = -8*f. Let p = f - 15. Give w(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-3))\/((-5170)\/645 - -8). Let h = s - 170. Factor -1\/3*l + 1\/3*l**3 + 1\/6*l**4 + 0*l**h - 1\/6.\nAnswer: (l - 1)*(l + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5818 (base 10) to base 14.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t. Let o(q) = -3*q + 3*q + q. Suppose 5*y - 39 = -3*d, y + d = -2*d + 15. Give y*o(m) + f(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 times -5?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*y + 45. Let w = y + -10. Solve 2*x - w*x - 15 = 0, -5*n = -5*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**7\/1260 - s**5\/10 - 4*s**2. Let w(h) be the third derivative of y(h). Let d(i) = -3*i**2. What is d(w(f))?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9377587*g**2. Let m(r) = -4*r. Give q(m(x)).\nAnswer: -150041392*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = v. Suppose 5*r - 38 = 3*m, 3*r + 2*m = 7*r - 32. Let j = r - -5. Solve -5*f + j = 5*b, -f - 4*f + 23 = -v*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 37?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**24*p\/(p\/p**16)*(p\/(p**9*p))**(-32) assuming p is positive.\nAnswer: p**329","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 s when three letters picked without replacement from {p: 2, v: 2, s: 4, a: 5}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwywwwwwwwwwwwyw. Give prob of sequence ywy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181.10316847 + -2.10272247. Let z = 107.5 + 71.5. Let f = j - z. Round f to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 543 - 542. What is the third smallest value in -2, -7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 113 + 119 - 6*c. Suppose -2*r + 2 = -2. Let t be y(r). Is t >= -5\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + -303805408260.\nAnswer: -303805408326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, w: 2}. Give prob of picking 1 w and 3 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1 - 5) + 6. Suppose 0 = 3*s - 0*s - d + 9, -c*s + d = 7. What is the remainder when 121\/11*(-8)\/s is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 788805359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from qoqxcxb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let u = -4 + 2. What is the closest to j in -3, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 q, and 1 a when four letters picked without replacement from jeqqqjeqaea?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b)**(-9\/5)*(b*b**(-1\/3))**46 assuming b is positive.\nAnswer: b**(271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11127 + 11127 + 21*r.\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 2:50 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8219373 a multiple of 954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**14\/(b**10)**2 assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 1368, 2948, 5162, 8010, 11492?\nAnswer: 15608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/184 and 65\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 117508784 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2907546 is divided by 361?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-22))\/(-1 - 4\/(-3))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 163 = 227 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -97.959. Let g = 0.712 + -0.7399. Let v = q - g. Round v to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + (-5 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:11 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 7*n**2 + 6*n - 1. Let f be t(-6). Let a = -1 + f. Let v = 10 + a. Solve 4*q = 5*s - 36, 2*q - v = 5*q + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30211230 (base 4) to base 7.\nAnswer: -303222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16822657 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/36*6 + 3*(3 + -1). Which is the third biggest value? (a) o (b) 1 (c) 6 (d) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87179553 divided by -153?\nAnswer: -569801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -12*u**2. Let h(v) = -v**2 + 79755. What is h(k(j))?\nAnswer: -144*j**4 + 79755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + -11?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*q + 4*q - q)*(-4*q - 2*q + 4*q) - 2 + 2 - 2*q**2 - 3*q**2 + 0*q**2 + 5*q**2)*(643*q + 267*q + 311*q).\nAnswer: 4884*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**2 + 1\/120*o**6 + 5\/6*o**3 + 0 + 0*o - 1\/6*o**4 - 1\/20*o**5. Calculate the least common multiple of 4 and y(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsdjqhf. Give prob of picking 1 j and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 = 23. Let a(u) = u**2 + 1. Let r(h) = h**3 + 2*h**2 + h + 2. Let d(x) = y*a(x) - 3*r(x). Find the second derivative of d(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 4*f**3 - 1447 + 254*f**2 - 253*f**2 + 1449 to the form b*f + v + u*f**2 + w*f**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(7\/24))\/((-18)\/3537) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, y: 9, t: 3}. What is prob of sequence tsys?\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 1310?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 61*n**2 - 7*n - 394. Let k be b(-61). Solve -4 = 2*h, -3*m - 5 = -35*h + k*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3 + (2 + 4 - 4)*(-8 + 3 + 3) + 10 + 7 + 19)*(8*g**5 - 6*g**5 + g**2 + 6*g**5).\nAnswer: 216*g**5 + 27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 7*x + 810. Suppose 0 = 9*d - 225 + x. Is d at least 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 17 = 5*l, 6*g - 2*g = 3*l - 8. Suppose 0 = 5*i + 3*w - 12, w = -5*i + 6*w - 20. Solve -l*r + 4 = -i*x + 5*x, 0 = -4*r + x - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101356 - -144111. List the prime factors of o.\nAnswer: 5, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-338)\/(-585) - 76\/(-342)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - u = -2*h + 19, -h + u - 11 = 0. Let i(l) = 180*l - 176*l - 689 + 722. Let d be i(h). Sort d, 1, 0 in increasing order.\nAnswer: d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234585 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36429?\nAnswer: 3, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nii when three letters picked without replacement from imingmm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 6*d**2 - 6*d - 5. Let o be c(-5). Suppose 0 = 2*v + 4*z - o, 2*v - z - 15 = 2*z. Calculate the greatest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4) + (14 - (0 - -15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwx. Give prob of sequence xw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f + 5. Let r(g) = 5*g - 2. Let h(v) = -7*r(v) - 4*u(v). Let l be h(6). Let y(m) = -5*m + l*m**2 - 5 - m**2 - 2*m**2 + 2*m**2. Determine y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 4*c. Let f be g(3). Suppose -3*u = -4*o + 22, f*o + u + 0*u - 10 = 0. Suppose -o*r + 23 = -1. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -9, -1, 7?\n\"Answer: 8*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1596 and 3302466?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 12*h + 30. What is m(12)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b - 7. Let k(l) = -3*l**3 - 16*l**2 + 12*l + 3. Let g be k(-6). What is a(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 9 - 4 - 1. Solve v*x + 3 = d - 3*d, x = 4*d + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 48*t - 60. Let k(a) = -3*a - 1. Let r(x) = d(x) + 20*k(x). Differentiate r(f) with respect to f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 7*x**2 + 2*x - 3. Let w be f(7). Let a = w + -7. What is the remainder when 6 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**4 - 6*d**3 - 3*d**2 + 6*d - 4. Let z(k) = 6*k**4 - 6*k**3 - 2*k**2 + 6*k - 4. Let h(b) = 4*u(b) - 5*z(b). Factor h(g).\nAnswer: -2*(g - 2)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6179 (base 11) to base 12.\nAnswer: 48a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0.3, 10, 19, 0.07 in descending order.\nAnswer: 19, 10, 4, 3, 0.3, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3391033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 0.7, -29, 0 in descending order.\nAnswer: 3, 0.7, 0, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 159\/4541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 1. Let y(t) = -2*t**2 + t - 1. Let p(h) = 2*o(h) - y(h). Let b be p(-1). Solve 0 = -2*s + b - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 30255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1894, -2034, -2174?\n\"Answer: -140*b - 1754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*v + 332*v = 6882 + 52086 for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004567 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/4 - (-5)\/10. Let j be (-4)\/f + 65\/(-100). Suppose 2*s - 4 = 3*t + s, 0 = t + 2*s - 8. Which is the second smallest value? (a) j (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**5*q\/(q**(2\/35)\/q*q) assuming q is positive.\nAnswer: q**(-107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*k*q**3 + 2*k + 2*q**3 + 536*q**2 - 8609*q wrt q?\nAnswer: -72*k*q + 12*q + 1072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 64 + -2 + -14 + -11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 + 40*b**2 + 3 + 0 - 27*b**2.\nAnswer: 34*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 23049907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 420 - 19a77?\nAnswer: -19657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cf3a60 + -5?\nAnswer: -cf3a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q*q*q**(2\/3)\/q)\/q)\/q)*q)\/(q\/(q\/(q*q\/((q**(-1\/6)*q)\/q))))*(q**(2\/21)\/q)\/(q\/(q*q\/(((q\/q**(3\/2))\/q*q)\/q*q))) assuming q is positive.\nAnswer: q**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 231*u**2 - 1045*u. Let o(g) = -7*g. Determine x(o(f)).\nAnswer: 11319*f**2 + 7315*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q + 1. Let k(w) = 73*w**2 + 6*w - 6. Give -6*b(i) - k(i).\nAnswer: -79*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -24.1. Let n = -2 - w. Let s be 16\/(-112) + 4\/(-14). What is the nearest to n in s, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. Let p(c) = -c - 5*c + r*c. Let g(n) = 2*n**2. What is g(p(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mms when three letters picked without replacement from bbtmmtbbmss.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 25 = 3*f, 0 = 2*f - 0*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 1687*h - 126918. Give o(-79).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/20)\/(-18)*75235\/(-734).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23626964 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 271470 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 5. Let q(c) = -15*c. Is q(o) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.99362 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -87. Let y be (-342)\/(-10) + 10\/q. What is the greatest common factor of y and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170*n*q*r**2 + 13*n*q*r + 6*n*r**2 + 2*n*r - 31*q*r - r wrt r.\nAnswer: 340*n*q + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/20 + -12 + 252\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58566 divided by 3?\nAnswer: 19522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 675456.152 rounded to the nearest 1000?\nAnswer: 675000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = 5. Suppose -3*o = -c*o. Let p be 2\/(-1) + 14\/2. Sort 2, o, p in descending order.\nAnswer: p, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6327, -6328, -6329, -6330, -6331?\n\"Answer: -m - 6326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 11*b**2 + 107*b + 2233. Is m(-17) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 2, -21, 18\/11, -0.03509?\nAnswer: -0.03509","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 + -50.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7184\/11 + 36065\/77. Let z = k + 185. Solve -z*f**3 + 8\/7*f - 4\/7*f**2 + 16\/7 = 0 for f.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-29) - 5490\/551) + 2\/(-19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-30))\/((-16)\/(-6)). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 144?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2605.\nAnswer: -1\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 273857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and -33209?\nAnswer: -7970.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22d896a2 + -2?\nAnswer: 22d896a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.04, 0.2, -2\/25, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/1*(-3)\/(-6). Let o(x) = 3*x**3. Let z be o(k). Let b be (z\/(-9))\/(2\/(-24)). Solve -2*g + h + b = 0, -h = 5*g - 9 - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -25*g**3 + g**2 + 2*g + 1. Let v be y(-2). What is the common denominator of -33\/2 and -1 - (-2)\/(84\/v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/4, 41, 1\/16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose b*g + 14 = 2*g. Find the second derivative of 2*z - 3*z + g*z**2 + 3*z - 5*z**2 wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32854953.9 - 0.1.\nAnswer: 32854953.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 89.69766 months?\nAnswer: 0.07474805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Let r(b) = 5*b**3 + 4*b - 4. Let q(t) = -6*t**3 - 5*t + 5. Let g be 4\/6 + (-10)\/(-3). Give g*q(k) + u*r(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/73?\nAnswer: 9\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -408.167 + 408. Let z = p - 195.833. Let n = -196.0087 - z. What is n rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.43 + -0.07. Let j = -9 - p. Let m = 296\/5 + -59. What is the smallest value in 0.3, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 31 - 4*h - 5 - 21 - 4. Give o(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 9*p**2 - 3*p - 34. Let j(a) = a**2 - 88*a - 474. Let w be j(93). Give v(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7725863 or -7725912?\nAnswer: -7725863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 15) to base 6.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*n**3 + 1\/5*n**2 + 0 + 1\/5*n**4 + 0*n = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*o - 3*o - 2*o to the form z*o + l and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*s + 22*s - 58*s)*(0 + 1 + 0)*(s + s + 0*s) to the form u*s + t*s**2 + m and give t.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*18\/(-1944)*9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -764 divided by -2731?\nAnswer: 764\/2731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036*f + 2526*f - 443*f.\nAnswer: 3119*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t**2 + 36*t - 14. Let f(p) = -4*p**2 - 18*p + 6. Determine -7*f(h) - 3*o(h).\nAnswer: h**2 + 18*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (225*n - 4 + 372*n + 47*n + 6)*(482 - 482 - 52*n**3) in the form s*n**4 + l*n**2 + z*n**3 + f + i*n and give z.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 16 = -7*x. Let p(f) = f - 13 + 0*f - 3*f. Let b(y) = y + 7. Let g(k) = x*p(k) - 7*b(k). What is the first derivative of g(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2*p + 65. Let z = -256 + 289. Suppose -21*h + z = 12. Solve 5*m - p = -4*v - 32, h = -v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d52 (base 14) in base 5?\nAnswer: -224413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4487 divided by -13.\nAnswer: -4487\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42984, -2, 5, 0, 2, -4, -5 in ascending order.\nAnswer: -42984, -5, -4, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*t - 16 = 0, 0 = 5*t - 0*t + 5. Let o = -6 - j. Are -4\/7 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 13*u + p, 0 = -4*u - p - 1. Which is the nearest to u? (a) -0.3 (b) 4 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 3*z - 15. Let o be (2\/(-3))\/((-7)\/z). Let w be (3 - -2)*(-1)\/3. Sort w, 0.3, o in descending order.\nAnswer: 0.3, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/28)\/(((-21915)\/2922)\/(5\/((-10)\/(-4)))).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 441651 = 5*c + 4*q, -c - q + 88335 = 0. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*q - 5*q. Let j be (q\/(-88))\/(3\/(-24)). Does j = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 13) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -15) + (6 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 35*c**3 + 2670*c**2 + 34360*c + 9600 = 0.\nAnswer: -60, -16, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 23*i**2 - 41*i - 545. What are the prime factors of j(-15)?\nAnswer: 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.1. Let l = 11 - 6. Sort l, 2, g.\nAnswer: g, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-77)*946\/559?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 616 + -618. What are the prime factors of (-6)\/(24\/a) + (-3214)\/(-4)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) -5 (b) 3\/2 (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 201176 <= 201168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283.2 - 282.7. Sort m, 3, -91\/6.\nAnswer: -91\/6, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 1\/7, 4, 2, 0.5 in increasing order.\nAnswer: 0.04, 1\/7, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*v - 9*v - 92. Suppose -5*d + 46786 = v*n, 34020 = 4*n - 2*d - 12780. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-737)\/(-198))\/(2\/(-6)) and -26\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:42 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24118*y + 24506*y - 2716 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 1185\nAnswer: -19\/1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**4 - 1308*q - 2084 wrt q.\nAnswer: 8*q**3 - 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -383*o**5\/10 + 1525*o**4\/12 - 592*o. Find the third derivative of u(d) wrt d.\nAnswer: -4596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2980914037 to the nearest integer?\nAnswer: 54598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose 40 = -t*a + 2*a. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -283*k**6\/5 + 1713*k**2\/2 + 6*k - 138. Find the first derivative of v(i) wrt i.\nAnswer: -6792*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2657 + 2664. Solve b - 3*j = q, 2*b + 7*j + 4 = 4*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -1\/2?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*2\/(-4)*2. Let c = 771 + 371. Suppose 3*y = -z + 376, 0 = z + 2*z - s*y - c. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216551820.\nAnswer: 2, 3, 5, 1481, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*p - 17561 = -479*p + 119266 + 22553 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -443*v**5 - 123*v + 3.\nAnswer: -8860*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Suppose 0 = -z + 7 - 4. Let h(t) = -3 - 2*t - t + z. Determine h(b(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 + 3*x**2 + 6*x**2 + (-x + 4*x - 2*x)*(-4 - 2*x + 4))*(x**2 - 3 + 3).\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = t. Let z(r) be the first derivative of r**4\/4 - r**3 - 3*r**2\/2 + 1. What is the remainder when z(4) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/(340\/(-100)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-512)\/(-16))\/16)\/(24\/15).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:33 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 105600?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 6099?\nAnswer: 6099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805418 a multiple of 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/12*-1*19. Let c = -16 - m. Suppose 325 = 5*y + 4*a, -c*a - 154 - 171 = -5*y. Calculate the highest common divisor of 26 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/7)*y)\/y**(-17))\/(y\/y**(2\/33))**(-13\/3) assuming y is positive.\nAnswer: y**(15691\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 474*i - 95 + 65 to the form g*i + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 137400484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, u: 7}. What is prob of picking 2 f and 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 100?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21866538 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 3*l**3 + 19*l**2 - 9*l**2 + 1 - 35*l**2 as r*l**3 + b*l**2 + n + f*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41968.26 decades to months.\nAnswer: 5036191.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3440428 and -3.\nAnswer: 10321284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68946, 68933, 68918, 68901?\n\"Answer: -c**2 - 10*c + 68957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 17*b**2 - 18*b - 37. Let o be g(18). Let y = o - -34. Sort -13, y, 2\/5 in increasing order.\nAnswer: -13, y, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = 3*c, 6*a - 7*a + 1 = 0. What is the smallest common multiple of 80 and 0 - 1 - -1*(c - -71)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-9)*45\/(-10). Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 201. Let q = -157.7 + p. Let d be 2\/(-7) - (-1 - -1). Which is the nearest to d? (a) q (b) -5\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4910\/23 (c) 2\/19 (d) 5 (e) -5 (f) -0.3 (g) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -13*r**8\/336 + r**5\/60 - 10*r**2. What is the third derivative of s(o) wrt o?\nAnswer: -780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6255858?\nAnswer: 2, 3, 7, 148949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.4 (b) 0 (c) -2\/17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -13) + 1 + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + v = 2*d - 642, -v - 46*d + 78 = -42*d - 10 for v.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m - 6. Let g(i) be the third derivative of i**5\/60 - i**4\/24 + i**3\/3 + 3*i**2. Let p be g(m). Calculate the greatest common divisor of 42 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 738 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*l + 84*l - 270 + 991 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3039.\nAnswer: -2\/3039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 + 4*g**2 - 4*g**2 + (-g + 0*g - g)*(-4*g + 2*g + 0*g) - 4*g**2 + 0*g**2 - 4*g**2)*(-6*g**2 - 2*g**2 + 0*g**2).\nAnswer: 88*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*u = 171*u + 4. Let p(f) = 2*f**2 + 2*f + 3. Let a be p(3). Find the second derivative of u*i**5 + i**3 - 15*i + a*i - i**3 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4\/5, 0.077 in decreasing order.\nAnswer: 4\/5, 0.2, 0.077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:44 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcczzczzzc. Give prob of picking 1 z and 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p + 2. Let c be g(10). Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2678937700 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/11 (b) -3 (c) 0 (d) 1\/732\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1377825*t**5 - 934644*t wrt t?\nAnswer: -27556500*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6267 (b) 5 (c) 6\/199 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 7*w**2 + 6*w + 10. Let z be y(8). What is the common denominator of (729\/(-60))\/(-3) - 2 and (243\/(-72))\/(z\/4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 8*m**2 + 8*m + 13. Let i be g(9). Suppose 0 = -i*a + 6*a - 10. What is the remainder when (-3 + (3 - 2))*-9 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/10*80\/(-24). Solve -2*h + h - s*g = 15, -16 = 4*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 17 - 22. Let v be (5\/15)\/((-2)\/(-12)). Suppose -4*q - 16 = -5*t, -v*t = -7*t - q + 21. Sort t, 2, x.\nAnswer: 2, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -60*(-2 - (-6)\/5). Is 9 a factor of 2 + 0 + j\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 g when three letters picked without replacement from gyyyyyyyyyyyygyyyy?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13302 - -13424. Suppose -4*n - 2009 = -7*n - 4*q, -4*n + 2*q = -2686. Calculate the greatest common divisor of h and n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2093?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - -39. List the prime factors of q.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.64 + 0.44. Let t = p - -4. Put t, -5, 2 in increasing order.\nAnswer: -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**3\/6 - c**2 - 8*c. Let i be h(2). Suppose -164 = -4*j + 2*t, i = -0*j + 3*j - 3*t - 123. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7) + 120\/42. Let b = 19 + -15. Let c be 2 - (0\/4 + d - b). Solve 4 = c*k - 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + 17\/((-17)\/6). Solve 0 = -3*v - v + u - 21, -j*v - 31 = -3*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43873 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: Let i(v) = v**2 - 11 + 0*v**2 + 13*v + v**2 - v**2. Let k be (4\/(-3))\/(2\/21). Let o be i(k). Solve -a - o = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -4*v - 2*u - 16, 4*u - 4 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(78)*-1*5)\/(-2*(-6*-3*sqrt(72))\/sqrt(12)))**2.\nAnswer: 325\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-6)\/(-2) - -200. Suppose 0 = 5*r + 4*w + 188, -r + w + t = -6*r. Let p be 3\/4 + r\/(-32). Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/12 and (602\/(-28))\/((-82)\/1)?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -573*i + 1967*i - 8417*i to the form q*i + u and give q.\nAnswer: -7023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbubbbbbbbubbbb. Give prob of picking 2 b.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 58888*l - 12130939. Give x(206).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 7 - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -161 + 9\/4*i**4 + 0*i - 175\/2*i**2 + 7\/3*i**3. Find the second derivative of s(d) wrt d.\nAnswer: 54*d + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24121 + -23250. What is the second smallest value in 1\/2, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (32 - 18 - 19) + -13 - (-13 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 13*i**2 + 4*i + 1. Let r be c(-2). Suppose d + 2*d = r. What is the greatest common divisor of 30 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 w, and 1 t when four letters picked without replacement from {x: 3, t: 3, w: 4, k: 3}.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + h**2 + 2*h**2 + (-2*h - 3 + 3)*(0*h + 0*h - 2*h) - 10*h**2 + 0*h**2 + 4*h**2)*(19 - 35 - 5).\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*z - 9*j + 6*j, 0 = -z - 4*j + 27. Solve 3*o + z + 3 = -4*v, -4*o = -8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4\/9)*r*r*r*r**3)\/((r**(1\/11)*r)\/(((r*(r\/r**1)\/r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(530\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/500 and 2\/133275.\nAnswer: 2665500","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4682469107?\nAnswer: 1229, 3809983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4241111203 + 3?\nAnswer: 4241111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64682 (base 13) to base 9\nAnswer: 305585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/45)\/(46\/(-40) - -1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 63*k**2 + 12*k + 1. What is the remainder when h(1) is divided by (4\/6)\/(-1)*-30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -526 - 27*n**3 + 526 + (2*n - 4*n + 3*n)*(-5*n**2 + 3*n**2 + 6*n**2) to the form y*n**2 + c*n**3 + f + q*n and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*j - 5 - j**2 + 34*j + 24*j to the form c*j + x*j**2 + r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -43. Suppose j = 5*g, 5*x + 2*g - 19 - 156 = 0. Solve 0 = 4*k - 3*w + 32 - 1, 2*k - 5*w = -x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d - 18. Is j(-15) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffg when three letters picked without replacement from {g: 1, v: 1, t: 4, f: 2, h: 9}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1279, -5964, -13781, -24736, -38835?\n\"Answer: -l**3 - 1560*l**2 + 2*l + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 9. Let c = 15 + w. Suppose c = 3*g - 4. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -1994?\nAnswer: -1994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - 5320471.\nAnswer: -5320471.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142618\/5 - 28701. Let h = -178 - r. What is the closest to 0.1 in 0, 2, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -4)\/(7\/(-28)). Suppose -2*a = o + 2, -6*o + s*o = 3*a + 4. What is the remainder when 20 is divided by (-6 + a)\/(-3) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235 by 11.\nAnswer: -235\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -329 - -523. What are the prime factors of u?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0065 + -7.6965. What is l rounded to one decimal place?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151396 is divided by 149699.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -132913.8782 rounded to the nearest one thousand?\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 9. Let n = 77 - 74. Let d be u(n). Is d - 1796\/(-8) - 2\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = -2*a - 13, 31 = 5*g + 3*a. Let x = -25 + 27. Suppose g*b - 37 = -x. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/110, -0.5, -8, -1844?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Suppose -7 = -2*o - s*o - j, -2 = 3*o + 4*j. What is the third derivative of 8*n**6 - 12*n**2 + 9*n**2 - 3*n**o wrt n?\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 5*v)*((-7 + 10 + 1)*(-7*v + 7*v - 3*v**4) + (4*v**2 + 0*v**2 - 2*v**2)*(-5*v**2 - 3*v**2 + 21*v**2)).\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 143\/2166?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6510)\/(-93))\/70*-53.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*g = 231147 - 223123 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484305 by -5.\nAnswer: 96861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -470*l + 472*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-130)\/(-13))*((-21 - 1) + -3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from oouvuovuvuv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 394*z**2 + 126*z + 751. Let r be d(131). Solve -23*s + 7*s = r for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from wssrssyrwwrdrd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-47)*(p**1)**(-37\/3) assuming p is positive.\nAnswer: p**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 581*g**2 + 2*g - 8. Let t be x(5). Suppose 4*i = -j + 3635, -4*j + t = -0*j + 3*i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let n be t(0). Let l = -7 + n. Which is smaller: -15\/2 or l?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/((1380\/24)\/(-23))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + (sqrt(1900)*1 + -1 - (2 + (sqrt(1900) - (sqrt(1900) + 0 + sqrt(1900)))**2))*5.\nAnswer: -9505 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smsomsmsmsmsmmsmssm. What is prob of sequence soss?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**2 + 128*q - 54 wrt q?\nAnswer: -4*q + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**7)**(-15)*(y\/(y\/y**(-3\/17))*y)\/(y\/(y**(-1\/12)*y)) assuming y is positive.\nAnswer: y**(-24329\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14210 = 7*c - 44758. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 3*j - 4*j + 3*j**3 + j**3 - 3*j**3. Let g be s(2). Let l be -2 - (-56)\/g - 3. Which is the closest to 0? (a) l (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 315 + -186. Let m = r + -74. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*y - y + a, 4*a = 4*y - 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23087083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)*((-49536)\/(-1792) + 2\/(-14)). Which is the closest to m? (a) -4 (b) 2 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:52 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -2, -10, -3\/4, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.082 - 0.0131.\nAnswer: 0.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -2*h + 7*x + 946, -3*x + 962 = 2*h. What are the prime factors of h?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 3) + -1 + (-24 - -42) + -24.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 5. What are the prime factors of w(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19866*0.061\nAnswer: 1211.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 4*f - f + 2*f + 11*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-9 - 1 + 27*m + 10)*(42 + 122 - 45).\nAnswer: 6426*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/20 + 13*h**4\/12 - h**3\/2 - 10*h**2 - 9*h. Let g be m(11). Calculate the highest common factor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:56 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131\/9 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a + 10*a + 2 - 1 + 0*a + 305*a**2. Is q(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*2*(sqrt(102)*1*-2)\/(sqrt(96) - -1*sqrt(96)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, c: 1, v: 5}. What is prob of picking 1 c, 1 g, and 2 v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12081*r**4*z - 50*r**3*z + r**2*z + 36*r**2 + 32*r*z + 13*r + z wrt r?\nAnswer: 289944*r*z - 300*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4431683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 446, -30, -73, 7 in decreasing order.\nAnswer: 446, 7, -30, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5 = 3*c - 80, 4*c + 4*b - 108 = 0. Suppose -3*h + 4*f + 28 = 0, 3*h + 3*f - c - 19 = 0. What is the smallest common multiple of 22 and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 0 - (-75 + 3). Let n = c - 34. What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076792.\nAnswer: 2, 3, 86533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*o + 489*o = 32264188 - 8969332. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1281 - 720. Let l = 560.99999933 - s. What is l rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4)*3*117\/(-27))\/(-2)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-12))\/((-4)\/16). What is the smallest value in -3, 3\/7, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 + 124 + (1 - (1 + 0 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 + 35\/(-10). Let t(v) = -v**3 - 4*v**2 - 5*v - 2. Let w be t(f). Solve -5*c + r = -4, c + w = -5*r - 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*y**5 + 360*y**2.\nAnswer: 7560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4 + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0 + 16. What is the third biggest value in -4, w, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 14) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6*z**4 - 195*z**3\/4 + 6*z**2 = 0.\nAnswer: 0, 1\/8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717862, 717865, 717868, 717871, 717874, 717877?\nAnswer: 717880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2500 + 3769. Let a = 1498 + w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30420\/7 + 4346. Suppose 7 = -4*h + 63. Suppose -3*w = 4*y + y + h, 2*w = 4. Which is the biggest value? (a) t (b) -2 (c) y (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 2 + 1 - 2*i + 0*i. Let r(u) = -4*u - 3*u - 10 + u. Suppose -4437*p + 4459*p - 440 = 0. Calculate p*a(o) + 6*r(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 24411*o - 73210. Calculate n(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - -6)\/((-2)\/18). What is the third derivative of -4*t**5 + 39*t**2 + s*t**6 + 4*t**5 - 36*t**2 wrt t?\nAnswer: 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.49 + -0.01. Let s = -57 - -173\/3. Which is greater: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29909815 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 9416615.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -68. Let a(w) be the first derivative of w**3\/3 + 9*w**2\/2 + 10*w - 2. Let h be a(y). Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 - -129. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -559*n**5\/20 + 1603*n**3\/6 + 3442*n**2. Differentiate w(r) wrt r.\nAnswer: -3354*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 4}. Give prob of sequence arr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 18840*a**3 - 3*a - 18820*a**3 + 37709*a**3 in the form l*a + r*a**3 + s*a**2 + w and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + u + 5. Let q be z(-3). Let l = q + -79. Is l > -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - -0.94. Let r = -11327 - -11327.3. What is the third smallest value in q, r, 0.1, -42?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18329554 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 3459 - 381 = 0. Let l = 349 + u. What is the highest common factor of l and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 4. Give y(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89)\/1068*(-4)\/((-4)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2 = 2*b, -5*b = -4*f + 19 + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346814 is divided by 165.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*q - 3*q + q)*(5*q + 0*q - q + 0*q - q - 2*q + (4 - 7 + 2)*(0*q + 3*q - q)).\nAnswer: -q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6479581 to the power of 1\/2, to the nearest integer?\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (8 + 3 - (9 + -4)) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + 5*r**5 - 2*r**5 + (2*r - 2*r + 2*r**2)*(274*r**3 + 280*r**3 - 59*r**3).\nAnswer: 989*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6 = -g, -18*g + 3 = a - 17*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p - 24 = 0. Suppose 25 = -5*n + 3*m, -4*n + p = 4*m - 4. Is n\/2*(-37)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -52*h + 30. Calculate k(5).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4768125 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, u: 7}. Give prob of sequence usss.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.9 + -21. Let t = u - -6. Let z be (-3)\/(-2) + -1 + 0. What is the nearest to t in z, 0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1)\/f)*f*f\/f**(-2))\/(f**4*f**(-1)*f))**(-2\/45) assuming f is positive.\nAnswer: f**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 974\/3, 1\/4, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 101505.028723 and 12.8.\nAnswer: 101517.828723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)\/j)**(-2\/13) assuming j is positive.\nAnswer: j**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*y + 562942 + 739751 = -12*y. List the prime factors of y.\nAnswer: 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r + r - 5*r + 2*r - 5. Let b be p(-4). Suppose -t = -b - 15. Calculate the greatest common factor of t and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -985 - -589. Let j = -4371\/14 + 313. Find the common denominator of (-4)\/(-6) - (-2010)\/k and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738776726?\nAnswer: 2, 71, 5202653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + w + 2. Let s be ((-3)\/24)\/(2\/(-16)). Suppose -2*m - 3 - s = -4*h, -2 = 3*h - 4*m. What is j(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1091\/7 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(192)*2 + 0 + sqrt(192)*4 + sqrt(192))*-2)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004047361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313935 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*u - 882, 4*u - 700 = -3*k + 630. What is the greatest common divisor of 918 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - 120 + 27)*(3*o**2 - 3*o**5 - 3*o**2).\nAnswer: 540*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, o: 12, i: 2}. What is prob of picking 3 x?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-168)\/100) - -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3\/5*a**5 + 0*a**2 - 3\/5*a**4 + 0*a + 0 + 0*a**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32177 is divided by 2145.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8\/34*(-7)\/(-350)*25?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/13 + 310*y**2\/13 + 1932*y\/13 = 0. Calculate y.\nAnswer: -6, 0, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5431, -10943, -16455, -21967?\n\"Answer: -5512*w + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*b + 181*b = 112 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78\/7 - 11. What is the closest to -55 in 0.4, 2, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 17*h + 10*h**3 + 0*h**3.\nAnswer: 7*h**3 - 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -5 (c) -0.1 (d) 1\/16 (e) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 42. Let b = 32 - -3. Let i = -24 + b. Calculate the remainder when v is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 6. Let i be f(-5). Let g be (-273)\/(-14) - 1\/(-2). Suppose 0 = -8*y + i*y + g. Sort -3, 1, y.\nAnswer: -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2674410089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 5 (c) 11 (d) 4 (e) -65\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28c95 (base 16) to base 12\nAnswer: 80819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from ktrttrtktrtrttr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = z - x + 6, -12 = -3*z + x. Suppose 4*f = f - 4*t + 18, -z*t - 24 = -4*f. What is the least common multiple of 88 and f?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*a, -3*q - 2*a = -q - 16. Let p = q + -5. Is 2*(p - -2) - -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*z + 3*q + 2*q, -z = 3*q + 10. What is the common denominator of (-7 - -4 - z) + 148\/22 and 53\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 605, 2180, 5251, 10316, 17873?\n\"Answer: 83*h**3 + h**2 - 7*h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b + 4*d + 12, 5*b + 9 = -3*d. Suppose -3*s + b*s = -9. Sort s, 0, -2 in descending order.\nAnswer: s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z**2 - z - 1. Let k be 1 - 12\/4 - -1. Give w(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130786852 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + -1.03. Let a = -27 - -27.04. Let k be (60\/21 - 4)\/2. What is the nearest to y in k, a, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2638, -2639, -2640?\nAnswer: -2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0401814 minutes?\nAnswer: 2410884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.59 - -13. Let f = n + -0.5. Suppose 4*m - 12 - 9 = 5*d, 3*m - 15 = 3*d. Which is the third biggest value? (a) f (b) 1\/10 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 16053961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnwq when four letters picked without replacement from {y: 1, c: 1, q: 1, w: 1, n: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from cgubcogbbcboooogl?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 884\/3045 + -2\/435. Let b(w) = -398*w - 1588. Let k be b(-4). Factor 2\/7*j**2 - a*j**3 + 2\/7*j**5 - 2\/7*j**k + 0 + 0*j.\nAnswer: 2*j**2*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 711 + -1155. Let q = k + 444.1. What is the second smallest value in 3, 5, 3\/5, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 462d6b2?\nAnswer: -462d6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 2*r - 2*n + 46, 5*r - 60 = -2*n. Let m = -9 + r. Let g be ((-7)\/(7\/(-10)))\/2. Solve -g*p - 5 = -m*v, 3*v - p = -0*v + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 12:07 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, 561, 7, 4 in decreasing order.\nAnswer: 561, 7, 4, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 2:52 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*(-18)\/((-135)\/(-15))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/35, 1, 1\/81, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76748 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.6 - 25. Let x = q + 0.4. Let y = x - -2.9948. What is y rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 23626631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -163*w + 145*w - 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 98.99894 weeks?\nAnswer: 59874558912000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1302*i + 936*i - 1584*i to the form s + o*i and give o.\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*(-384)\/(-3120)*-13?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*v - 21*v - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 20. Let t be (50\/5)\/5 + 1*2. Suppose -t*b - 3*r = -19, 0 = b - 2*b - r + 6. Sort b, -2, g in decreasing order.\nAnswer: b, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -86 (b) 1\/18 (c) 107 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let s(u) = 8*u**2 + 3. Let v(i) = -9*i**2 - 2. Let a(g) = 2*s(g) + 3*v(g). Calculate k(a(m)).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -171, -248, -329?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**5 - 12*x**4 + 121*x**2 + 59*x + 686?\nAnswer: 120*x**3 - 144*x**2 + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 72.701km?\nAnswer: 72701000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g. Let o(m) = 2*m**2 + 4*m + 1. Determine -10*f(j) + 4*o(j).\nAnswer: -2*j**2 - 4*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -337*q**2 + 6*q - 23844 wrt q?\nAnswer: -674*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 5*g + 4. Suppose 5*d + 5 = 0, -10 = -r - r - 2*d. Let w be (r\/4)\/(8\/16). Let o be a(w). Solve 0 = 4*h + o - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 + 43 = -97*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 17*r + 5. Let u be v(-12). Let x = u - -61. Suppose -5*j - 6 = -x*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -901457*b**4 - 18*b + 85827611 wrt b?\nAnswer: -3605828*b**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9180653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111110111110 (base 2) in base 14?\nAnswer: 16c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 26344153?\nAnswer: 26344144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 + 156. Let t(p) = -p**2 + 17*p - 30. What is the smallest common multiple of 9 and t(f)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/6))\/(q**(5\/6)*q))**(-2\/47)*(q\/q**(3\/4)*q*q**(2\/21))\/(q*q\/((q*q**(2\/7))\/q)*q**(-2)) assuming q is positive.\nAnswer: q**(6607\/3948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uelqumemgemgelm. What is prob of picking 1 g and 1 q?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h - 527 + 1585 = 0 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - -0.6. Suppose -2*x = -x - 1. Let p = 7\/195 - 151\/585. Which is the closest to x? (a) r (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 89 = o, -3*u + 425 = 2*u - 5*o. List the prime factors of u.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216 (base 10) to base 16\nAnswer: -d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.462 - -41.892. What is a rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 18*k + 37. Determine l(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113722 (base 8) to base 3.\nAnswer: 1222022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s - 11. Is (s\/(-9))\/((-1)\/223) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 + 2*u - 1. Let d be x(3). Let k = -25838\/3 + 8613. What is the smallest value in k, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/51445 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-986)\/85 + (-2)\/5. Let n be -13 - h - (-773 - -4). What is the highest common factor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*g**3 + 164*g**3 + 10*g + 6*g - 107*g**2 - 16*g wrt g?\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) + 23\/2. Suppose 0 = 2*g - 2*j - 1744, -85*g + 83*g - 3*j = -1729. What is the highest common divisor of g and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 46. Let p be d(-10). Let l = -1 + 6. Solve 2*i = l*i + p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1335, 1325, 1327, 1347, 1391, 1465, 1575, 1727?\n\"Answer: g**3 - 17*g + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8. Let k(b) = 3*b + 0 - 5*b + c. Let t be k(-2). Solve -t*d - 11 = m - 2, -d - 21 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52384149 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 4243.9999996963 + -4244. What is r rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*d + 16 + 11, -3*d - 9 = -2*k. Suppose -k*a + 1146 = -0*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 - 3476090*m + 604160084405 = 0.\nAnswer: 347609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 7*h**2 - 15. Determine j(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + 196*a**2 - 188*a + 411. Is o(-89) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360 divided by -5?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 - 231 = -13*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.58604 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*((-2163)\/(-206) + 45\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 10*s - 3. Let k be x(-5). Let z = -75 - k. Suppose -3*v + 56 = 4*t, -z*t + 13 = 2*v - 25. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*c - 2 - 1320*c + 2.\nAnswer: -883*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-12) + (-6)\/9)*-8. What is the derivative of 32 + 3*s**2 - 11 + t*s**3 + 0 wrt s?\nAnswer: 24*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 125 - 247*f.\nAnswer: -247*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386178 is divided by 346541.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**30)**(-18) assuming p is positive.\nAnswer: p**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from nooovvvnooownzvo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/2 + 89\/6. Let z(n) be the second derivative of 0*n**3 + 0*n**2 + n + 0 - g*n**4. Let t(o) = -3*o**2. Determine z(t(r)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3. Suppose -u = -4*w + 5 + 2, 3*u = 4*w - 13. Let b be v(w). What is the second derivative of -2*r**5 - 7*r + r + b*r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22527 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10498*j**2 - 903 + 903 - 2598*j**2.\nAnswer: 7900*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8000*q - 20. Let j be i(3). Let r = -13503 + j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/5))\/n*n**1*n*((n**(-1\/2)*n)\/n)**(-1\/14) assuming n is positive.\nAnswer: n**(201\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 448 - 337. What is the remainder when y is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -3 (c) 2\/29 (d) -11 (e) 2\/13 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -249\/4 + 62. Let t = -0.17 - -1.17. What is the closest to t in 1, 2, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 4 + 656*a - 22 as b + w*a and give w.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 395, 612, 829, 1046, 1263, 1480?\n\"Answer: 217*q + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/7 + (-2)\/7. Let m(v) = -7*v + 75. Let h be m(9). Let o = 3 + h. Solve -6*l = -f - 2*l + o, -f - l = g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohohohohjho. What is prob of sequence jh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2461 (base 7) to base 5\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 92.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 11. Let v be m - -2 - (8 + -8). Differentiate 52 + v + 2*b**4 - 26 wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4454\/8908 + (99\/(-36))\/(1\/(-8))\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 divided by 6?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**(-2\/9)))\/t**(-9\/2))\/(t**12*t*t**(-1\/16)\/t) assuming t is positive.\nAnswer: t**(-1247\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -29*u**7\/5040 - u**6\/720 - 29*u**5\/30 + 80*u**2. Let f(q) be the third derivative of y(q). Give f(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 141*u + 1974. Calculate w(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -764 + -71?\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 119*q - 122*q = -39299, 5*i - 49129 = -2*q. What are the prime factors of i?\nAnswer: 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-57)\/(-4) - 3\/12. Suppose -2 = 4*d - t. Suppose d*k - 861 = -2*u - 0*u, -3*k + 4*u = -879. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9043 - 5557. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1473995.\nAnswer: 442198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 4, d: 2, l: 2, g: 3}. What is prob of sequence kgo?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 424*g - 1588079 + 1588080 + 439*g - 47*g in the form n + p*g and give p.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -36*n. Let t(x) = 9*x. Calculate -5*s(c) - 21*t(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*k - 23, -r - k - 53 = -5*r. Let i be (-1)\/(-6) + 154\/r. Is i\/3 - (-1)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) - 17\/2. Let o be ((340\/8)\/(-5))\/((-2)\/4). Let t = o + q. Calculate the highest common factor of t and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15026326.\nAnswer: 2, 7, 167, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -10*u + 35 + 30, 1220*u - 1221*u + 5*z = -32 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180672.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(915*n - 333 + 333).\nAnswer: 1830*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 4*r**2 - 11*r + 210. Let k(o) = -3*o**3 + 10*o**2 - 23*o + 419. Let m(w) = 2*k(w) - 5*t(w). Find the first derivative of m(q) wrt q.\nAnswer: 12*q**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 51768028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 7330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -0. Solve -a*t + 10 - 40 = -5*y, 2*y = -5*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32767 - 0?\nAnswer: 32767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:19 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5\/3 - 43700*l**4 - 21390824*l**3\/3 + 64959112*l**2\/3 - 21740444*l + 21784148\/3 = 0. What is l?\nAnswer: -32611, -167, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(98) + 0)*5 + sqrt(98)))**2 - (1*(-2 + sqrt(8)*-3))**2.\nAnswer: -24*sqrt(2) + 14036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 3*l - 28, -4*m - 4*l = -3*l - 104 + 161 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 5454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nnyyqqsypsasaaaaans.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201722981?\nAnswer: 19, 10616999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 3, l: 9, y: 4, k: 2}. What is prob of sequence ryk?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**2 + 3*w + 7. Let k be c(-7). Suppose -5*z - 5*y = -45, -11 = -4*y + 9. Suppose -5*n = z*p - 633, -k = -3*n + p + 159. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -835*w + 335. Let r(x) = 59*x - 24. Let m(q) = 6*g(q) + 85*r(q). Calculate m(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + -5 + 9 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) 33\/8 (c) 0.317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.98. Let u = f - -0.02006. What is u rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y - 2. Suppose v - 14 = 2*t, 17 = -0*v + v - 3*t. Let n be -2 - ((-4)\/2 + 2). Let m be 12\/16*(-2)\/n*v. What is k(m)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -984 + 6890\/7. Let s = 1 + -1. Let b = -0.1 - s. What is the nearest to j in 0, b, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 318 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + y = 70, 2*v + 5*y - y = -140. Let t = 118 - v. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18 + -7 + 8 - -8. Let b be 15 - c\/18*-10. Calculate the highest common factor of b and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -145*a**2. Let g(s) = -474 + 4 + 470 + 14*s. Give t(g(n)).\nAnswer: -28420*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)*h**4)**(-14))**(2\/17) assuming h is positive.\nAnswer: h**(-1400\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40327499 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**2 - 7*u - 427. Let b = -60 - -65. Give h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2801.\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 5856369*q + 5856372.\nAnswer: -3*(q - 1)*(q + 1952124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86178 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 - -20.1. Let l = -230175.0002 - -230153. Let b = l + n. What is b rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p + 173342 = 64*p. List the prime factors of p.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 10 = -2*t + 4, -y - 44 = -y + 6*y + 4*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20185, 40366, 60547, 80728?\nAnswer: 100909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = q, -3*q + 7*q + 4*w - 36 = 0. What is the units digit of q + 0\/((-3)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*h**2 + 199*h**2 - 82*h**2.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 9*s + 36 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = k + 185, -20 = 5*n. Let j be 6\/21 - k\/35. Solve -x - 10 = 4*x - y, -j*y = 2*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 - 11*r + 6. Let f be l(-3). Solve 3*a + 5 = -2*h, -f*a + 4*h = -0*h - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(34)\/((sqrt(10)*-2)\/sqrt(5)))**2.\nAnswer: -2*sqrt(17) + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.045, 2\/15, 0.4 in decreasing order.\nAnswer: 0.4, 2\/15, -0.045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**3 - 10*f**2 + 10*f**2 + (-f**3 + 0 + 0)*(2 + 0 - 4) to the form c*f**2 + d*f + p + l*f**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.5 (c) 3 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 261 - 805?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Suppose -7 = -d*u + 8. Solve m - 5*m = 5*c - 19, -u*c = 5*m - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 41 = 2*s, 5*z + 0 = 4*s + 7 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 981?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 + -190. Solve 0 = -i*s + 5 + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 11*l**2 - 5*l - 18. Let m(w) = 5*w**3 + 31*w**2 - 14*w - 54. Calculate -3*m(b) + 8*n(b).\nAnswer: b**3 - 5*b**2 + 2*b + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -0.3.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*d - 4 - 11, -10 = -2*d. Suppose r = -2*f + 41 - 25. What is the greatest common factor of 12 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012131 - 11?\nAnswer: -1012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3150.6 + -2771. Round w to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*b + 357, 10*b - 5*b = -3*i + 357. Suppose -4*p = 5*q - 31, q = -q + 6. Let u be p\/1 - 9\/(-3). What is the highest common factor of u and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403359563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9757770 and 88?\nAnswer: 39031080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-168)\/7*(-5)\/10 and 3075.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3904 is divided by 1098.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Let x = z + 7. Let a = 15 - x. Calculate the least common multiple of a and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/9)\/((-3)\/9). Let f be 5\/l - (-9)\/6. Suppose s - 7*u = -4*u - f, -4*s - 3*u + 26 = 0. Solve 2*b = -2*v - 2, 4*b = s*v - 0*b - 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -5. Let x(y) = y**2 + 7*y - 4. Let o(v) = -3*v**2 - 22*v + 13. Let q(f) = -2*o(f) - 7*x(f). What is q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:47 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-105))\/((-161052)\/(-67105)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23228617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(72) + -2 + sqrt(72) + -3)**2 - ((sqrt(2) + -2*sqrt(200))**2 + sqrt(90)\/sqrt(5))).\nAnswer: 492*sqrt(2) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**7\/252 + v**6\/180 - v**5\/120 - v**4\/72 + 2*v + 2. Let i(l) be the first derivative of c(l). Suppose i(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6398 + -2416832.\nAnswer: -2410434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bft when three letters picked without replacement from trtbnbbbttffbn.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 1)*(3 - (-35)\/(-14)). Let q be 37 - 15\/(3\/j). Calculate the common denominator of (2*14)\/4*q\/(-558) and -11\/6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-90)*15*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546106 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**5\/20 + 5*c**4\/6 - 5*c**3\/3 + 5*c**2 - 20*c. What is the remainder when j(4) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 125 = 2*o - o, 4*q + 5*o = 79. Suppose 3*u - 22 = q. Suppose v - 17 = t, 2*v - u - 15 = 3*t. Solve -v = 4*g, 4*g - 5 + 50 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610458 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16557 + 55609. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, g: 4, p: 2, l: 3, m: 1}. What is prob of sequence mz?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -1. Let t(i) = -3*i - 6. What is the remainder when t(-6) is divided by h\/1 + -1 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1212011 (base 3) to base 2\nAnswer: -10101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*s**3*t - 118*s**2*t*z**2 + 54*s*t*z**2 + 2*s*z**2 - 16*s + 3*z wrt s?\nAnswer: 804*s*t - 236*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.96 - 0.04. Let x = 3 + q. Let f = -0.9999968 + x. Round f to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97728 at least 97728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = g. What is the remainder when g\/(-3) - (-526)\/6 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2. Let c(m) be the third derivative of -m**5\/30 - 8*m**2. Calculate v(c(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 22. Let s(g) = 209*g + 208*g - 623*g + 207*g. Determine -l(o) + s(o).\nAnswer: -o + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*d + 9*d. Suppose -2*w = -6*w - 5*n + 3711, 0 = -w + d*n + 909. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g + 18. Let m be i(4). Solve -o - 10 = -2*k - 3*o, -3*k + m*o = 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**5\/20 + x**4\/2 + 3*x**2 + 7*x + 8. What is y(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f + 79. What is the tens digit of o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5490\/60)\/((-6)\/4).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(243) + sqrt(3) + -2 - (((sqrt(12))**2*4 - sqrt(3)) + -1*sqrt(192)).\nAnswer: -51 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 39455*f + 3 - 39448*f + f**2 - 3. Suppose 0 = 3*j + m + 13 + 10, 0 = -5*j - m - 39. Let w be b(j). Calculate the greatest common divisor of 80 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(4 + (-70)\/15). Let f(z) = 342*z - 1. Let p be f(l). What is the highest common factor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-484)\/690 + (-1)\/3. Let c = 10\/23 + h. Let a = -33 + 36. Put -2\/9, a, c in descending order.\nAnswer: a, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (7 + -19 - (160 - 127))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 6 = 10*t. Suppose t*y + 2*p = -13 + 63, -5*y - 4*p = -50. Solve -4*i - 2*k + y = -0*k, -5*k = 2*i + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 3 (c) -2\/3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 12*f**2 - 6*f + 12. Is d(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-8) + (-5)\/2. Let t be (-2)\/(-2 + (z - 1)). What is the third biggest value in t, -3, -0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -7)*(-1 + 2). Solve -11*n = -a*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, u: 9}. What is prob of picking 4 f?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 3643.\nAnswer: 9\/3643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/199 - 203\/796. Sort s, 0.06, -0.2, 0.1.\nAnswer: s, -0.2, 0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1496 and 2788?\nAnswer: 61336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -4634 - 4914. Suppose -320 = w*t - 349*t. Suppose -16 = 2*s + 2*s, -4*s - 136 = -3*h. Calculate the greatest common divisor of t and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663681?\nAnswer: 3, 221227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 536 + -528. Calculate the greatest common divisor of 50 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000877123513 rounded to 6 dps?\nAnswer: -0.000877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 84. Solve -3*a - 12 = -5*p - 2, a - l = -5*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06931*5.\nAnswer: -0.34655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-10))\/(15\/(-75)). Let k(p) = -7*p**2. Calculate k(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) -5 (b) -2\/19 (c) 5 (d) -0.35 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-20)\/30*6\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + 3*m + 2*m + (-118 - 171 + 179)*(-3 + 4 - 5*m + 3*m) to c*m + i and give c.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13122003 (base 5) to base 11.\nAnswer: -89434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/16 and 47\/3976?\nAnswer: 7952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14408.603 and 0.06?\nAnswer: 14408.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1776 + -1774.9. Put 0.02, v, -2\/7, -5\/4, 2 in decreasing order.\nAnswer: 2, v, 0.02, -2\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 8735889.\nAnswer: 3\/2911963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 9*y - 112. Let k be n(-16). Suppose -4*g + 3*i + 11 = k, 2*g + 2*i + 3*i + 1 = 0. Put 0, 7, g, -2 in descending order.\nAnswer: 7, g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 12403*r**5\/60 + r**4\/12 - 77*r**3\/6 + r**2 - 2991*r - 2. What is the second derivative of d(h) wrt h?\nAnswer: 24806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54 and -18.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + z)*(14 - 6 + 7)*(-2*z**3 - 3*z**3 + 6*z**3) as m + j*z**4 + f*z**2 + p*z + u*z**3 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 + 81. Let g = h - 282.000000001. Round g to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427012120.25058 + 3?\nAnswer: 427012123.25058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3142\/120967)\/((9\/105*-1)\/(3\/(-1))).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7518)\/(-11277))\/(((-2)\/60)\/((-16)\/10))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*q = 5, -x + q + 2 = 1. Let t(m) = -1 + m**2 - 1318745948*m + 0*m**2 + 1318745945*m. What is t(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - 4*n. What is o(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*u - 21*u - 18053. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36918841, 0, 0.2, -0.1 in decreasing order.\nAnswer: 0.2, 0, -0.1, -36918841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 9*m**4 - 3 - 1 + 3*m - 8 wrt m?\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from hfezpfhe.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 4. Suppose 2*h - q = 3. Suppose 3*r + 217 + 137 = h*b, -263 = -3*b + r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7277, -29106, -65483, -116408, -181881, -261902?\n\"Answer: -7274*i**2 - 7*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 3, 1, -83?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 6*s - 6. Suppose 8*q - 3*q - 15 = 0. Suppose -5*j + 2 = -3, q*d - 5*j - 4 = 0. Is l(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11. What is the closest to -7 in r, -2, 1\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104427876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - -454?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 960637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5205?\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 63*w - 2 - 1)*(0*w**3 + 2*w**3 - 3*w**3) + w**4 - 2*w**4 + 3*w**4.\nAnswer: 65*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -29*x**2 - 5*x + 2. Let w be d(-2). Let g = 104 + w. Suppose s - 12 + 9 = g. Solve 2*n + 5 = s*h, 3*n - 2*h + 3 = h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/163, -0.2, -2 in descending order.\nAnswer: 1\/163, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21076427 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44784.9ng to micrograms.\nAnswer: 44.7849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/12861592 and -151\/12.\nAnswer: 38584776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296616 = -60*r - 40356. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.3 + -22.3. Which is the biggest value? (a) v (b) 5\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 49215\/114 + 1*2\/(-4). Let a = -431 + y. Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 15 - 5 = 5*k, 3*k + i + 12 = 0. Is (-38742)\/(-14) - (k + 90\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11988200 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16086*q - 8154*q - 8108*q = -10912 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 4. Calculate the least common multiple of (-24)\/(-20) + (-456)\/(-20) and w(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + 1 + 3. Suppose -3*w = 6, -5*h + w = -h - 10. Solve -h*p + 3 = -k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 9 - 150*c + 115*c + 2*c**2 + 1 + 35*c to the form d*c**2 + s*c + u*c**3 + z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 7*b - 12 = 15*b, -5*z + b = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-2 + 1 - (183 + -77 - 87)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48\/384*(-16)\/(-24)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(33))\/sqrt(11) + 2*sqrt(363).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 203459876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2 + 11944*n + 23904 = 0.\nAnswer: -2, 2988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-357)\/2709*(-35)\/(-595)?\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142574259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 4. Let c be 459\/765*(3 - 2 - 11). Let l(u) = 7*u - 15. Determine c*l(x) + 22*h(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 21 = -5*c, 4*x - 12 = -2*c. Solve -c = 2*i, -4 = -2*o - 5*i - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 888370 - 0.035116.\nAnswer: 888369.964884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 + 0 + (-12)\/(-3). Let u be -4 + (-140)\/(-36) - 55\/s. Let y = 36 - 12. Calculate the highest common factor of u and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 2226?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18\/1235 + -1307\/4940. What is the nearest to -0.1 in 55, k, -0.6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -3 (c) 14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 401461 + 5?\nAnswer: 401466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 226. Let l = c + -230.00000694. Round l to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v - 19. Let a be f(2). Let x(k) = -k**3 + 12*k**2 - 6. Let m be x(8). Suppose a*n - m = n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1194, 26, 1\/5, -3\/4, -16, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3752679.96 + 23507.1\nAnswer: -3729172.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 1 - -20 - -17 - 1) + 13.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*s - 35 - 54 - 22 - 13 - 34 + (0 - 3 + 5)*(2*s + 3*s - 3*s).\nAnswer: 79*s - 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(13)*-1 + -3 - (sqrt(143)*-1)\/sqrt(11) - sqrt(325)*-1*-5)**2 + 5).\nAnswer: -40695 - 750*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2506 + 4751. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**7*((m**1*m*m)\/m)\/m)\/(m**(-28)*m*(m\/(m*m**(-15\/2)))\/m) assuming m is positive.\nAnswer: m**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 815*r + 49. Let b be l(2). Let q = b - 1128. Calculate the greatest common factor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uguxgguggx. What is prob of picking 1 u and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 6\/7 (c) -115 (d) -0.16 (e) 1\/5 (f) -0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 2)\/(1\/(-3)). Suppose h + u = -2*h. List the prime factors of h\/2 - (-13)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541472 less than or equal to 1541471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3658*b + 23081 - 2561 = -4114*b for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 222*t**3 - 57*t**2 - 21*t - 17. Let y(o) = 74*o**3 - 20*o**2 - 7*o - 6. What is 6*c(i) - 17*y(i)?\nAnswer: 74*i**3 - 2*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/3 - 4628*t**3\/3 - 2677298*t**2 - 53*t - 1. Factor c(g).\nAnswer: -4*(g + 1157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -300761\/4 in decreasing order.\nAnswer: 1, -8, -300761\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 18. What is the lowest common multiple of (-2)\/r + 51\/5 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15538.\nAnswer: 2, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 5*k - 139*k - 28 - 63*k to b + i*k and give i.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50051142 divided by -4737\nAnswer: -10566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 33*l**2 - 46*l - 47. Let u be i(-1). What is the fourth smallest value in 0.2, u, -4, -2\/9, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/(-10))*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -151200.859 to the nearest 10.\nAnswer: -151200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5582 and 6.\nAnswer: 3.3492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4236 + -1587. Suppose -93*t + 92*t - b = -3*x, 0 = -4*x - t + 3539. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5da58 (base 15) in base 10?\nAnswer: -299333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 15 + 890*g + 105 - 873*g.\nAnswer: 17*g + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.24993 litres to millilitres.\nAnswer: 20249.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5 - 38*j**4 - 434*j**3 + 38*j**2 + 432*j = 0. What is j?\nAnswer: -8, -1, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*i**4*s**3 + 6*i**4 - 6*i**3*s - 22563*i**2*s**3 wrt i.\nAnswer: -2592*i*s**3 + 144*i - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 4*n - 1. Let a be (41 - 6\/3) + -1. Let o = -89 + a. Let r = o + 56. Let u(b) = b**2 + b. Give r*u(q) - y(q).\nAnswer: q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 135 + 90 = 0. What is the remainder when (2 - 2 - 0 - 7)\/(1\/(-19)) is divided by x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39535.\nAnswer: 5, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4755*m**3 + 9516*m**2 + 12*m.\nAnswer: 3*m*(m + 2)*(1585*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-23)))\/b**(1\/42))\/(b**(-9\/2))**(-2\/49) assuming b is positive.\nAnswer: b**(6701\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5*w = -62. Suppose -w = -2*q + 42. Let l be 2\/(-3) + q\/42. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {e: 1, j: 1, p: 7, q: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 - ((15 - 85) + 8 + 11) - 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 - 263\/2. Suppose 4*s - 120 = 8*s. Let p be (10 + 0)*4\/s. Which is the second smallest value? (a) j (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = 3, 4*k + 4*p = 12. Suppose 5*g + 81272 = 4*x - x, -108320 = -4*x - k*g. Let i = 34916 + x. What is i rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2632708577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 4. Let g be v(4). What is the common denominator of 1\/3 - (-340)\/24 and (-1)\/2*81\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 96344.3 weeks?\nAnswer: 58269032640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.067 and 66.\nAnswer: 4.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 794 - -2b2?\nAnswer: a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7324*i + 2437*i + 2442*i + 2438*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -783 divided by -3\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -7)*(8 - (-335)\/20). Let i = 649\/65 + -122\/13. Sort i, q, -3 in descending order.\nAnswer: i, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001515072 to 7 dps.\nAnswer: -0.0001515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 69*a. Let p(l) = -7*l. What is -2*b(m) - 21*p(m)?\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + 18. Suppose 3*y - f = 11. Suppose 0*m = 3*m - 42. What is the lowest common multiple of m and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 18*b + 1855 - 1855. Determine a(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 673*p**2 - 3*p + 3. Is z(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(468)*6 + sqrt(468) + 4*sqrt(468)*-1 + sqrt(468).\nAnswer: 5 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019367329 to five dps.\nAnswer: -0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -54, -45706, -26.4?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 - 13*m**3\/6 - 3*m**2\/2 - 13*m - 22. Calculate c(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 96. Calculate q(-65).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754042?\nAnswer: 2, 377021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/120 (b) -57 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-55)*450\/(-324))\/((-3)\/(-4)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s - 63. What is the remainder when (-6)\/s + 152\/7 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -276*j - 2321. Let v be u(-14). Solve -v*k - 18 = -1546*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**2 + 3*y + 29273. Let q(d) = -4*d + 5. Let j = -1 - 1. Calculate j*q(o) + 5*s(o).\nAnswer: -2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/3 - 362*b**3\/3 - 5956*b**2 - 129688*b\/3 + 147920\/3 = 0?\nAnswer: -86, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 693092467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 3*i + i - 3*i**2 - 3*i**2. Let f(n) = 2*n**2 + 2*n. What is -6*f(j) - 5*v(j)?\nAnswer: 3*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = p - 188 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, o: 7}. Give prob of picking 1 o and 1 q.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/207 at most as big as -0.035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - -0.5. Let m = v + 1. Suppose 0 = 5*z - 2*l - 15, -4*l - 25 = -5*z - 10. Sort m, -5, z in ascending order.\nAnswer: -5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/252 - 2\/7. Let v = -7\/5 + 47\/30. What is the nearest to d in -1\/2, v, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420799 is divided by 484157.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -8607826?\nAnswer: -8607825.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/21, -1\/2, 0.2, -27?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - z**2 - 4*z**2)*(-z**2 - z**2 + 0*z**2) - z**4 - 3*z**3 + 3*z**3 - 138*z**2 - 527*z**4 + 138*z**2 - z - 2*z**4 + z.\nAnswer: -532*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Let t = -41 + 37. Sort -0.4, t, g in descending order.\nAnswer: g, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1859582*o**6 + 49862*o**2 + 6*o wrt o?\nAnswer: 223149840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3069 by 1.\nAnswer: -3069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = 18*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2*o**6 - o**4\/12 + 3*o**3 + 8*o - 115. Let f(m) be the first derivative of b(m). Find the third derivative of f(r) wrt r.\nAnswer: -1440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 146193684\/17 or 8599629?\nAnswer: 8599629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2236.09 + 2235.9. What is the closest to 1 in l, 3\/2, -1, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:51 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/381 (b) 0.025 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*q + q + 25, 5*q = -25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = 15*t - 642. Solve -2*r - 4*f = 6, -3*f - 26 = -3*r - t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-12))\/(1\/(-10)). Let p(c) = 6*c**3 - 15*c**2 - 2*c - 8. Let u(h) = 4*h**3 - 10*h**2 - h - 5. Let n(w) = f*p(w) + 8*u(w). Factor n(m).\nAnswer: m*(m - 2)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + 0 + -5 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/(-85)*(-3)\/((-45)\/400). Solve 2*i = 4*y + n, 3*y - 26*i + 22*i + 17 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12420592 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*o - 1304 = -8*o, -5*o = -4*i + 5203. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 10*h**2 - 599*h - 6. Give a(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 220737*n**2. Let p(k) = -3*k**2. Determine g(p(v)).\nAnswer: 1986633*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55544\/7860 + (-7 - (-5 - -5)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7339 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:18 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*g - 5. Let s(z) be the second derivative of 0 - 2\/3*z**4 - 1\/15*z**6 + 0*z**g - 2\/5*z**5 + 0*z**2 + z. Factor s(t).\nAnswer: -2*t**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 3*w**2 - 3*w**2)*(65*w**3 - 2436*w + 2436*w) - w**5 - 5*w**5 + 4*w**5.\nAnswer: -67*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106621523*u**2 + 104482106*u wrt u?\nAnswer: 213243046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9052, 10165, 11278, 12391, 13504, 14617?\n\"Answer: 1113*f + 7939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvb. What is prob of picking 1 v and 2 b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180959 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 - 5*a + 13. Is 5 a factor of i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4708331 to the nearest integer?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 59\/2*c**2 - 84*c - 1\/2*c**3.\nAnswer: -c*(c + 3)*(c + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1441 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*w + 6, -3*z - 1 + 2 = -5*w. Let i be (21\/6)\/w - 3. Factor -1 - i*y**2 - 3\/2*y.\nAnswer: -(y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 15*i. Let j(m) be the third derivative of -m**8\/2520 + m**5\/20 + 5*m**3\/6 + 129*m**2. Let x(k) be the third derivative of j(k). What is x(z(v))?\nAnswer: -1800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7583\/19 - -399. Suppose -214*y + 196*y - 72 = 0. What is the third biggest value in 12, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + (-17050)\/425 - 330\/(-2805).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1152*z + 110554. What is q(-96)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1613442 and 4560.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465*x - 1465*x + 8043*x**2 - 9333*x**2.\nAnswer: -1290*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -55\/16, -121, -90?\nAnswer: -55\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2373?\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 33*u + 37. Let r be 104\/6 - (-13)\/(-39). What is the remainder when 57 is divided by w(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/110 and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6285872 and 632?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9597, -9539, -9449, -9333, -9197, -9047?\nAnswer: -8889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -728*k**2 - 584*k**2 + 1315*k**2 + 1028 - 2*k to the form m*k**2 + l + s*k and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 405 = -5*f - 3*m, 135 = 2*f + m. Let t = f - 24. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:27 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 8:26 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2010 divide 21910613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 354407*s - 354407*s - 409*s**5 + 5*s**5 + s**5 - s**5 + (2*s - 3*s + 2*s)*(0*s**4 - 4*s**4 + 7*s**4).\nAnswer: -401*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146073150*t**2 + 27560402*t + 3?\nAnswer: -292146300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/4 + 2*t**3 + 9*t**2\/2 + 20*t + 168. Let b be h(-4). Solve 5*p - b = -2*l - 0*p, -4*l - 5*p = -12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 3. Let n(k) = -k**3 - 5*k**2 - k. Let u be n(-5). Let p be s(u). Suppose w = 0, -p*c = -c - w - 10. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999.143 grams in kilograms?\nAnswer: 1.999143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47982 and 1166.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 8*a + 17. Calculate v(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3\/6 - 5*c**2 - 5*c + 2. Let g(u) be the first derivative of n(u). Let p be g(10). Round p to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 533, -568, -3549, -9346, -18895, -33132?\n\"Answer: -156*u**3 - 4*u**2 + 3*u + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 4*r**2 + 6*r - 12. Suppose 0 = -2*c + x - 15, -3*c + 44*x = 40*x + 40. Give k(c).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 - 170*d - 36. Calculate a(38).\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -358, -811, -1466, -2335, -3430, -4763, -6346?\nAnswer: -8191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.153 from 2.4.\nAnswer: 9.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 less than -2329?\nAnswer: -2284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Which is bigger: k or -2\/125?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 22*t - 290 = 0. Let f(r) = -78*r + 89. Is f(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6455, 25463, 57055, 101225, 157967?\nAnswer: 227275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16818547 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 4*r**2 - 3*r + 6. Is 22 a factor of i(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 6*b)*(5 - 3 + 2)*(3 - 3 + 2*b) + (2 + 5 - 6)*(b - b - b**2) - 4*b**2 + 2*b**2 + 4*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*h - 0*y - 21, 0 = 2*y - 6. Let k be 3\/(-6) - 3205\/h. Suppose -4 = -4*s + 16, 5*g - 3*s - k = 0. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 5*p**3\/3 - p**2 + 2*p + 1. Let z be n(4). What is z rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 4*b + 7 - 4*b. Let r be h(-3). Find the second derivative of 20*d - 23*d + r*d + 4*d**2 wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 = 6*j - 2*j, 16 = 4*j + d. Suppose 2*o + 4*v = -j*o + 6, -3*o - v = 2. Put -4, -3, 1, o in descending order.\nAnswer: 1, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 1. Let b be j(1). Let h be (-1)\/(-5)*6\/b. Put h, 1, 3 in descending order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 + 5*z**4\/24 - 11*z**3\/6 - 11*z**2. What is the units digit of n(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**2 + 286*y - 1350. Let t be a(26). Factor -2\/15*p**t - 2\/5*p + 8\/15.\nAnswer: -2*(p - 1)*(p + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five sixths of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1308.4 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239951?\nAnswer: 19, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.7, -4525, -13, 2, -2\/3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.5. Let r = k - -0.2. Let b = r - 0.3. What is the second biggest value in -1\/5, b, 2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06972 - 0.03\nAnswer: 0.03972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d + 13*d - 2*d**5 - 25*d**5 - 6*d**5 wrt d.\nAnswer: -660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 2. Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 3:02 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -7*z - s - 19, z - 13 = 3*s. What is the derivative of 53*d**z - 21 - 138*d**4 - 29 wrt d?\nAnswer: -340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -575 - -575.303. Let m = -0.661 + k. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 38*q - 441. Give b(13).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 553300 to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c - 198*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 316 + -129. Suppose -3*h + n - y = -51, 5*h = 2*n - 226. Let o = -32 - h. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*37547*((-68)\/12 - -6). Suppose c + 51171 = 14*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360334964 rounded to the nearest 10000?\nAnswer: 360330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 4*x - x + t, 3*x = 4*t + 162. Let h = 62 - x. Let v be 2*2\/h - 24\/(-80). Put 3\/7, v, -2 in descending order.\nAnswer: v, 3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 1012 = 72*d + 360 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2044524 and 439996?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j + j - 8*j + j**3 - j**2)*(19 + 2 - 1)*(31 + 34 - 78)*(-4 + 4 - 3) in the form x*j**3 + c*j**2 + i*j + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/8)*j**(2\/19)\/j*(j**(-1)\/j)\/(j\/j**(-1)) assuming j is positive.\nAnswer: j**(-801\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 4*s. Let w be s*(3 - 3\/(-3)). Suppose -6*b + 8*b - w = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Suppose 4*z + 55 = 5*y + 5*z, -3*z - 33 = -3*y. Suppose -y = -m*n + 19. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1\/2)*p\/(p*(p*p*p**(-2\/3))\/p))**(-3\/4))**(-13) assuming p is positive.\nAnswer: p**(169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + 2*i + 2*i - 3 + 3 + (6 - 3 - 2)*(-i + 2 - 2) + 4*i + 4*i - 10*i + 1 + 2*i - 1)*(229 + 214 - 426).\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -27012889 at most as big as -27012837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -215340950 rounded to the nearest 1000000?\nAnswer: -215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7473, 30, 5, -5, 0 in ascending order.\nAnswer: -7473, -5, 0, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10933165506 rounded to three decimal places?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41336.61km to millimeters.\nAnswer: 41336610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46726 times 2.66\nAnswer: 124291.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 + 182. Suppose -3*o + 3*u + 2 = -z, 0 = -u. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-6)*36\/(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + 0.35. Which is the second smallest value? (a) -0.3 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*17\/1326)\/(14\/(-63)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*b - b. Let s be b*(4 + -2 - 3). Let r(h) = -3*h + 1. Let l(m) = -m. Let a(w) = -w. Let c(y) = 3*a(y) - 2*l(y). Give s*c(k) + r(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddededgeeeuyedue. What is prob of picking 1 y, 1 d, and 1 e?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*m - 3314 + 2134 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01514 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23444977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 244*f**4 - 18338*f**3 + 389310*f**2 - 2*f + 534 wrt f?\nAnswer: -60*f**2 + 5856*f - 110028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*u - 334 = 90 + 96 - 48 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 5.07125 microseconds in seconds?\nAnswer: 0.00000507125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960791.\nAnswer: 13, 73907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5053874*z. Let b(p) = -23*p**2. Give m(b(x)).\nAnswer: -116239102*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10123 - -13132?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -77000*a**2 - a - 1. Suppose 0*h = 3*h - 12. Suppose 5*u - 2*n - 3 = 0, -u + 15 = -0*n - h*n. Let z be d(u). Round z to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -139*m**3 - 47402*m**2 - 972*m + 17381. Give a(-341).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/120*-4 + (-231)\/(-45). Suppose -2*k - a*v - 24 = -4*k, 4*k = -v + 4. Solve 4*j + 4*x = 8, -20 = -0*j - 4*j + k*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/36)\/1 - 2\/30. Let v be (-4)\/10 - 26\/(-40). Which is the closest to z? (a) v (b) -2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)\/(sqrt(90)\/sqrt(10)))\/(sqrt(9)*-3*-5))**2 + -1.\nAnswer: -74\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1320003 (base 4) to base 5\nAnswer: 221213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + -39 - (-113 - -105)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from {r: 4, v: 1, a: 5, w: 6}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4 = 4*t. Suppose 0 = -6*n + 3*n. Suppose -i - 2 + n = 0. Is t greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*d*o + 3156*b**3*o + 11*b**2*d - 31*d - 4*o wrt b?\nAnswer: 6*d*o + 18936*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*v)*(90*v**3 - 4827*v**2 + 4827*v**2).\nAnswer: -180*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - b)*(b + 4 + 0*b - 5)*(5 + 1 - 8).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13231, 26465, 39697, 52927, 66155?\nAnswer: 79381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332604 < 1332603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 14*o + 422 = -13*o, 0 = -3*s - 2*o - 235. Sort 5, -3, s, 25 in increasing order.\nAnswer: s, -3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let h be m(7). Let j be (h + -27)*(-18)\/8. Let v = j - 0. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6565 and 170690.\nAnswer: 170690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 3496.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5) + 12\/(-45)*6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14198375 by -5.\nAnswer: -2839675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 11, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/4 + -3\/4. Let g = -15.91 - -16. Let r = 0.59 - g. Which is the closest to q? (a) r (b) 2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17902, 35829, 53768, 71725, 89706, 107717?\nAnswer: 125764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3795101259.\nAnswer: 3, 1265033753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 - 126. Calculate the common denominator of (8 - 12) + 5\/((-45)\/p) and 4\/8 - (-112)\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 9) to base 8.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7573 is divided by 28 - (2\/(-3)*-3)\/(22\/33)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*o + 420 - 2230, 5*v + 1084 = 3*o. Let r = o + -335. Solve 6*n + r = 13*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 - 3*g + 270 = 0. Calculate g.\nAnswer: -10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 6*w - 5. Let y be -21*(2\/8 + (-56)\/96). Determine k(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g. Let v = -4 - -3. Let k be j(v). Solve 4*z + 5 + k = -4*l, 18 = 3*l - 3*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/27 and 29\/114?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 30 + 82. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(192)*2 + -2 - -4*(sqrt(192) + 1)).\nAnswer: 6 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3024 and -49\/2466.\nAnswer: 414288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 81*m - 78*m. Solve 8*u = 3*k + 9*u - 2, u + m = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*m - 8*m + 27 = 0, -3*m + 9 = 0. What is the greatest common divisor of q and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.9 - 43297.62914?\nAnswer: -43069.72914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*a - 3741 - 591 = 3616 - 1500 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/276 and 17\/46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25\/5 + -6)\/(3\/9). Let o be (15\/35)\/(a\/(-21)). Solve 5*j + 15 = -k, 5*k - 2*j - o = 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.07, 0, 66, 0.05?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -512\/349635?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 (base 14) in base 10?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-3*sqrt(528)*-4)\/(-1*(-4*sqrt(1200) + sqrt(1200))))**2 + 1.\nAnswer: 729\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3688 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -72*k**4 - 376*k**3 + 871*k**2 - 301*k - 112. Let l(x) = 36*x**4 + 188*x**3 - 434*x**2 + 150*x + 56. Let b(c) = 5*l(c) + 2*n(c). Factor b(g).\nAnswer: 4*(g - 1)**2*(g + 7)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 22 - q**2 + 3*q**2 - 2*q + 14*q - q**2 - 25*q. What is z(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*y**3 - 67*y**3 + 264*y + 3*y**5 - 88 - 309*y**2 + 4 - 39*y**4 + 141*y**3 = 0. Calculate y.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000088962841 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/20*(-436640)\/(-57309).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + 2*j = 22*m + 10, -5*j - 27 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*q - 8 = -0*q, 2*s - 4 = q. Solve 0 = -z + 4*n + 14, -s*n = z + 2*n + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15\/22 + 2\/11. Let f = -1 - -0.4. Let s = -0.9 - f. Which is the third biggest value? (a) s (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 24*k**3 + 7*k**3 + 2*k**3 - 2*k**4 + 10*k**3 as a*k**4 + h*k + y + b*k**3 + m*k**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 20*n**2 - 54*n + 36.\nAnswer: -2*(n - 6)*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -91\/37 (b) 1 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.02 + 207.083743771.\nAnswer: 206.063743771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 0.09534?\nAnswer: 28.90466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -964? (a) -0.5 (b) 2 (c) -6\/19 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38571, -77048, -115431, -153720?\n\"Answer: 47*c**2 - 38618*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 48*b**4 + 15 + 18*b**4 - 4 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-2\/63)\/q)\/q))**(-5) assuming q is positive.\nAnswer: q**(-955\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 32*y**2 - 99*y - 16. Give t(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 2. Suppose 3*s + 66 = 3*k, k + 2*s + x = 9. Calculate the greatest common factor of 136 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 972*k**3 - 2937*k**2 - 1962*k.\nAnswer: 3*k*(k - 327)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m + 299 = 95*m + 299 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 - 279. Let w be -2*1 - (-311 + 1). Let b = w + r. Is 39 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 7*i + 0*i - 7*i + 1. Let t be ((1 - 2) + 2)\/1. Give v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371705 (base 14) to base 9\nAnswer: -3484716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 2. Let x be k(-5). Suppose -5*j - o = -8451, 0*o - x*o = -4*j + 6776. Suppose 7*l - j = 94. Is l a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (0 + 1 + -2). Let d = 776957 + -776952. Let -5\/2*x**f + d*x + 15\/2 = 0. What is x?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 379*d**2\/2 + 472*d - 59. Find the first derivative of l(y) wrt y.\nAnswer: 379","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 608511945 to the nearest integer?\nAnswer: 24668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 177585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -1.48. Let v = z + -0.08. Which is the smallest value? (a) -4\/3 (b) v (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(80) + sqrt(80)*-2) + ((sqrt(5) + sqrt(5) + 2)*-1 + 1)**2.\nAnswer: 21 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6407 - 6406.9. Sort c, 3, 0.04, -13 in descending order.\nAnswer: 3, c, 0.04, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 185*o - 359. List the prime factors of l(7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 14 + 20. Let h be 1\/(-2 - (-478)\/238). What is the highest common divisor of s and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 26*a - 3. Calculate f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 1, t: 1, n: 1, d: 1, i: 1}. Give prob of sequence ihdt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47749 or 47834?\nAnswer: 47749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 10*b - 92. Let r be k(20). Let a = r - 632. Does 46 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/20 - 5*y**4\/4 + 5*y**3\/2 + 28*y**2. Does 6 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -0.073 (c) -0.3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f + 20. Suppose f*d + 8 = 0, -v - 2*d + 19 - 5 = 0. Suppose 0 = 5*r + 3*j + v, 0*j = -r + 3*j. Let k(q) = q**2 + 5*q. What is k(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 8*y**2 - 4*y - 6*y**2 - 3*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21360 - 14954. What are the prime factors of t?\nAnswer: 2, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/3 <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - x + 4*x + 144 = 0, -5*d + x = -386. Which is smaller: d or 79?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.47 to one decimal place.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.9 - -0.1. Let p = 796.8569 + 0.1431. Let l = p - 797.07. Is l smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0 + 0)*(-1819 + 3644 - 1825 - 1683*y).\nAnswer: -1683*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/141, 35, -1.3, -10, 5?\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (16 - 2 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 3:55 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/20 + 1\/(-4). Suppose 4*n - 2*n - 4*y - 28 = 0, 0 = n + 4*y + 16. Suppose -q + 3 - 8 = n*l, -q - 4 = 3*l. Is p >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/5 + 1093713*h\/5 - 1093716\/5.\nAnswer: 3*(h - 1)*(h + 364572)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996385084?\nAnswer: 2, 643, 387397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 99 = -3235. Let l = z - 157. What is the highest common factor of 312 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 2*b**3 - 3*b - 9 + 2*b**2 + 1\/4*b**4. What is the units digit of c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 1\/5*f**5 - 1\/4*f**4 + 3 + 0*f + 1\/2*f**2 - 1\/3*f**3. Factor o(q).\nAnswer: q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4 (base 13) to base 2.\nAnswer: 10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 11220?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 29 - 6) + 7 + 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 772690274 less than 1.5?\nAnswer: -772690272.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 5*n - 4. Let j(t) = -t**2 + 7*t - 6. Let o be j(5). 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: Let r(q) = -158719*q + 2031. Is r(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/30 + 4*i**5\/3 + 19*i**4\/6 - 4509*i**2. Factor l(o).\nAnswer: 4*o*(o + 1)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1794905 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5492 + -2547. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 2716?\nAnswer: 21728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -2\/17 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*t + 316*t = -171 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**3 - 54*v**3 - 397 - 334 + 731 + 24*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*h - 3*h + 3*h)*(-1 - 2 + 0) - 4 - 2*h + 4)*(1 + 0 + 1 + (-2 - 2 + 1)*(-4 + 4 + 2) + 5 - 1 - 2) to the form g*h + o and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -p - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/12 - 29\/174. Suppose 0 = -2*i + 6. What is the nearest to -0.1 in j, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52194 at most as big as -149.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 11. Let n be x(5). Suppose -10 = -2*i, 2*b - i + n*i - 47 = 0. Suppose 3*k - b = -5*a, -a - 37 = -7*k + 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166757045*u**3 - 3532481*u + 14 wrt u?\nAnswer: -1000542270*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8660 < -363763\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 13. Suppose -q = -4*x + 3*k, -2*k = -x - k. Calculate the remainder when 3 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -495897.\nAnswer: -9917.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -241558 - -241693. Suppose -c - 15 = 5*i + 4*c, 3*i + 7 = -2*c. Let a be 2*13 + (-1)\/i. What is the highest common divisor of h and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00361*-11\nAnswer: -0.03971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 g when four letters picked without replacement from vvvvgvgvv.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/4)\/z**(-1\/5)*(z*z*z**(2\/11)\/z)\/z*z**(1\/3) assuming z is positive.\nAnswer: z**(-353\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {f: 1, d: 4, o: 2, m: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.67015 micrograms to grams.\nAnswer: 0.00006367015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38523.9 and 4696?\nAnswer: 33827.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Suppose a*v - 6 = 2. Suppose 0 - 2 = -h. Solve 0 = v*g + h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 9 - 2) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -15. Let u = t - -10. Solve 5*a - 11 = -2*w, a - u*a = -2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) 0.5 (d) -0.080932\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - q - 3*q = -20, -2*u = 4*q - 12. Solve -v = 4*d - 16, -d + 8 = -u*v - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)*(-16)\/1496*-17?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58571 = -f - 4*c, -2*f = -0*c + 2*c - 117106. List the prime factors of f.\nAnswer: 127, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1330442 (base 6) to base 2\nAnswer: 10010000100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) 2 (c) -0.5 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose -2*g + 7 + z = 0. What is the second smallest value in -2, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:06 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 181, 275, 367, 457, 545, 631?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 11*i**2 + 10*i - 21. What is the units digit of q(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*b - l, 18 = -3*b + 5*l - 7. Solve -5 = j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + -2020909\nAnswer: -2020909.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5409, -5465, -5521, -5577?\n\"Answer: -56*r - 5353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - 3.08. Let j = -14.7 + 14.4. Let f = -1.1 - -1. Which is the closest to f? (a) l (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 26 + 4 - 8*z**2 + 8*z**2 - 5*z**2. What is the lowest common multiple of y(0) and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14220024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18314, -18365, -18416?\nAnswer: -18467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12112139 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15256599 or 45769796\/3?\nAnswer: 45769796\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1755262*a**4 + 86*a**3 - 1226513*a + 38 wrt a.\nAnswer: -21063144*a**2 + 516*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -387 - -376. Let v = 7 - 7. Which is the closest to 0.1? (a) v (b) r (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-381)\/372)\/((-57)\/(-597)). Let j = y + -2\/589. Let 0*o + 0 - 3\/4*o**3 - j*o**5 - 1\/4*o**2 - 3\/4*o**4 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26289297 to the nearest integer?\nAnswer: 5127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 13. Let p be 35\/(-10)*4\/l. Suppose -5*h - 174 = -p*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30068293763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Is (6\/(-9))\/(t\/(-417)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 - 3.9. Sort m, 1, 8 in decreasing order.\nAnswer: 8, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -25*n + 6*n + 13*n - 3 - 4 - 8. What is f(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-42))\/((-12)\/42). Which is the third smallest value? (a) 2 (b) t (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 18291 = -3*r, 5*r - 2*r = 2*x - 7329. Calculate the common denominator of 93\/22 and ((-2)\/40)\/(48\/x).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = -3*x + 76, 5*m - 344 = 3*x. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3357099?\nAnswer: -3357099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 2. Let c be u(-1). Suppose 2*x - 25 = -c*g + 39, 3*g - 12 = 0. What is the remainder when 95 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 78625d?\nAnswer: -78625a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -7*q + 49. Solve -5*j + 0*j + 17 = 2*i, -2*i + 14 = q*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 258940797\/7 or 36991541?\nAnswer: 258940797\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 4\/21 (c) 0.5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-12))\/(240\/(-2080)))\/((-9)\/(-18))\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1320024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -4 (c) -3\/43 (d) -5 (e) 116 (f) -331\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 94, 58 in decreasing order.\nAnswer: 94, 58, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:52 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247125832?\nAnswer: 2, 30890729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2\/7 + 6831976*u\/7 - 2917243504036\/7 = 0 for u.\nAnswer: 853997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408804*m + 408777*m - 2565 = 0 for m.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -92. Let o = -16 - m. Let c = o - 6. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 11*d**2 - d - 1. Determine v(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -188, -426, -760, -1190?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/2)\/9*(-10)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2504, 2634, 2788, 2960, 3144?\nAnswer: 3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2393489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x. Let f(p) = -p**2. Let w(z) = 291 - 2*z**2 - 291. Let l(s) = -8*f(s) + 5*w(s). What is l(d(o))?\nAnswer: -288*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4023 divided by 1417.\nAnswer: -4023\/1417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*v - 28 = -4*v, 3*v = 12. Solve 0 = -u*x - 2*x + 3*h + 15, -h - 5 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1101010100100001111101000?\nAnswer: 1101010100100001111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 2*l + l + 28, 4 = -r - 2*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 57*n - 11. What is r(1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 < 11282\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296887107 to the power of 1\/2, to the nearest integer?\nAnswer: 57419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 4*b + 3*y - 47, 0 = 4*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2263 and 11319\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-742)\/4 + 2\/4. Let p(r) = 962*r. Let j(t) = -31*t. Let g(i) = s*j(i) - 6*p(i). Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 44*h = 47*h - 3765, -2*i = 5*h - 2483. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/13 + 5416*o**4\/13 - 1872190*o**3\/13 - 1899280*o**2\/13 + 7488792*o\/13 + 577728 = 0.\nAnswer: -2, -1, 2, 408, 2301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 13*g**2 - 156*g + 1200. Give m(10).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12913\/10 + -1291. What is the common denominator of -45\/808 and z?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 5e4?\nAnswer: -5e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 2009?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:22 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28812956*y**4 + 15301618*y?\nAnswer: -345755472*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = -y + 3*u, -3*u - 92 = -5*y. Calculate the highest common factor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 115*w**2 - 150*w - 3953. Determine l(-116).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243 and 519480.\nAnswer: 4675320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + j = 15, -3*k + 4*j - 16 = 34. Let i = k - -20. Find the second derivative of 4*r**4 + i*r + 16 - 16 wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 301 and 77.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 21522*p + 865680.\nAnswer: -3*(p - 7214)*(p + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 70*n**2.\nAnswer: -5*n**2*(n - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 17. Suppose f*q - 150 = -q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 330269, 660342, 990415?\n\"Answer: 330073*s + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 9:47 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 + 23*r + 77)*((4 - 3 - 2)*(7 - 3 - 3) + 3 - 1 - 3).\nAnswer: -46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109495, 109280, 109065, 108850?\nAnswer: 108635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.652129893 from 373.\nAnswer: 372.347870107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1419, -1392, -1347, -1284, -1203?\nAnswer: -1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ee - 31f?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 10.\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -87*t**2 + 39*t + 552. Let n(a) = -11*a**2 + 5*a + 69. Calculate 5*h(d) - 39*n(d).\nAnswer: -6*d**2 + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183425 and 10196835.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(57\/19 + (-6)\/(-4)). Determine k so that -d*k + 8\/3*k**3 - 2*k**5 + 0 - 4\/3*k**2 + 4\/3*k**4 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 13729176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -20638800 to the nearest 100000.\nAnswer: -20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10571 - 10571.17173. Let a = 2.959 - 3.13. Let j = a - k. What is j rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**4 + 5*s**3 + 5*s**2 + 18*s. Let j(p) = 10*p**4 - 4*p**3 - 4*p**2 - 18*p. Let f(i) = -5*j(i) - 4*l(i). Find the second derivative of f(t) wrt t.\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11)*-1) + ((sqrt(72)*2 - sqrt(72)) + sqrt(72))**2.\nAnswer: -sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-70)\/42)\/(2\/6). What is the closest to 3\/20 in 0.4, 4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029259.\nAnswer: 7, 11, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ceeeeecee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 5*v**3 + 9 - 3*v**2 - 9 as u*v**2 + h*v**3 + y*v + j and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-441))\/(-4))\/(10\/(-140)*3).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3. Let z be 0 + 6 + (-3 - b). Sort 0, -2, z in increasing order.\nAnswer: -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/13 + 71776*q**2\/13 - 287078*q\/13 + 215304\/13 = 0.\nAnswer: 1, 3, 35884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*h - 564. Let i = -80 + h. Suppose -2*x - 3*o = -i, -3 = 2*o - 3*o. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 49. Which is smaller: 2\/19 or c?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-504))\/(9\/(-48))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zov when three letters picked without replacement from dzdvdddzpdzzopdo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79627\/35 - -11383\/5. What is the common denominator of (1\/4)\/((55\/(-244))\/(-11)) and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*j - 13, 5*j - 5*i = -0*j + 5. Suppose 0 = -0*o + 3*o + 4*x + 13, 19 = -o - 5*x. Sort o, 5, j in descending order.\nAnswer: 5, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**6\/90 - t**5\/5 + 16*t**3\/3 - t**2 - 26*t + 2. Let g(c) be the second derivative of k(c). Factor g(z).\nAnswer: 4*z*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 5*f + 130. Suppose 0 = -5*n - 3*w + f, n = -2*n - 3*w + 18. Let s(j) = -6*j**2. Let l(m) = -5*m**2. What is n*s(b) - 5*l(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3809*a - 26*a**2 + 14*a**2 + 14944*a - 15*a**2.\nAnswer: -27*a**2 + 11135*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/24)\/(70\/40)*459\/(-153)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 31*w**2 + w - 36. Let m be u(31). What is the closest to 3 in 5\/3, m, -10, 0.5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**3*r - 499*j**3 - 19*j*r wrt r?\nAnswer: 3*j**3 - 19*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.162 - -176.162. Let p = f - 173. Which is the closest to 1\/2? (a) 0.5 (b) p (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44 (b) -11 (c) -0.4702\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 2. Let f be x(18). Let r = -10 - f. What is the derivative of -4 - 3 + 3 - 6 - r*c**3 wrt c?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 31 - 13. Factor -12*z + h*z + z**3 + 5*z**3 - 3*z**5 + 0*z.\nAnswer: -3*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623361 > 623364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15348 and 67781884?\nAnswer: 203345652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 11*j**2 - 18*j + 42. What is s(8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 - 8621*r\/2 + 8622.\nAnswer: -(r - 2)*(r + 17244)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27643807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**3 - 36*d**3 - 6 + 50*d + 6 - 51*d.\nAnswer: -13*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695858?\nAnswer: 2, 347929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.05, 1 in ascending order.\nAnswer: -0.05, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1 + 20 + -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -27. Let p(x) = -x - 8 + 18 - 3*x**3 - 10*x**2 + 0*x**2 + 4*x**3. Let n be p(b). Solve -4*i = -k + 17, n = -3*i - 4*k - 0 - 27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v**(1\/10))**(-2\/25))**(-1\/22) assuming v is positive.\nAnswer: v**(-39\/2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1114 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*o = 54*o + 40. Let q be 0 + 0 - (-1 + -4). Suppose -q*l = -o*l. Solve h - 6 = 5*s, l = -4*s + 3*h - 2 - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*y = 214*y - 22 + 5782 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 10*s**2 - s + 12. Let a be u(10). Let b be 60\/18*3\/a. Suppose b*i - 88 = 182. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(74132\/55470 + 20\/170 + (-74)\/51).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i**2 + i + 3. Let g be 4 + (1 - 0 - 2). Suppose 4*x - g = 9. What is the remainder when r(x) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from wdads?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 13*s - 180. Is 3\/s - ((-516)\/10)\/2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -252 - -254. Suppose -3*m - r = -0*r - 865, 570 = a*m + 4*r. Calculate the highest common factor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 4*n - 2. Let k = 6 + -3. Let h = k - n. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by -3.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307 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: Let f be ((-20)\/3)\/((-10)\/(-15)). Let h be f\/(-10) + 0 + 4. Solve a + h = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 20*z - 5. Let t be c(15). Is -7*(t\/14)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0473 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3308 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 10 = 0, -53*y + 49*y + 26 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -p - 5*t - 22, 0 = -t - 5 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(98))**2 + 6*sqrt(8).\nAnswer: 12*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-72)*-3*(-8)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-11)\/2)\/(67\/(-938)) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:30 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -q + 685, -23 = -2*c + 3*q + 302. Suppose 0 = 5*l - 0*l - c. Suppose 2*b - l = -2*m, 13 = 2*b + 5*m - 15. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/18 and -29\/5900.\nAnswer: 53100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*3 - (sqrt(57)\/sqrt(3) + -3))**2*-6.\nAnswer: -13848 - 396*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-55)\/22 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - 2*u**2 + 4*u**2)*(-5*u**2 + 4*u**2 - u**2 + (4 + 0 + 0)*(-50*u**2 + 231*u**2 - 25*u**2)).\nAnswer: -622*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y + 2 = 0. Let g be (y*4)\/((-6)\/3). Let h = -2.4 - -2. Sort h, -5, g.\nAnswer: -5, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = 3*q, 18 = 5*i - 4*q. Solve -20 = i*r - 6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-5)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + 8*b**2 + 2*b**2 - 4*b**2 + (-5*b + 0*b + 3*b)*(0*b**3 + b**3 - 3*b**3) + 4*b**4 + 3*b**4 - 2*b**4.\nAnswer: 7*b**4 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -710 or 3983\/2?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t - 5. Let y(k) = -1. Let w(u) = -141*u + 5213. Let s be w(37). Determine s*y(q) + r(q).\nAnswer: 18*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/33)\/(299\/598)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3\/2 + 4*y**2 - y. Suppose -41*t = -24*t - 68. Determine l(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*j - 441824 - 2396606 = 0. Does 34 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -167, -2, -4 in decreasing order.\nAnswer: -2, -4, -11, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 173936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = 293 - 221 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/63 + 3\/84. Let y = -0.2 + -0.3. Sort y, 0.4, a in descending order.\nAnswer: 0.4, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**5\/60 + k**4\/4 + 7*k**3\/6 - 3*k**2. Let o be t(-6). Solve -z + o*u = 4*u + 18, -4*u = 5*z - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*v + 1171*v - 54*v + 2 + 1138*v in the form m*v + i and give m.\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2016.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 1308126 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.093 + -1.323. Let g = l + 0.35. What is g rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (1 - (6 - 8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 4. Give x(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29003514 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14971, 29949, 44925, 59899?\n\"Answer: -o**2 + 14981*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 37. Let i be r(-23). Suppose 10*z + 5*d + 8 = i*z, -8 = 4*d. Find the third derivative of 0*y**2 - 12*y**z - y**6 - 12*y**2 - 3*y**6 wrt y.\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/2 - 419*g**3\/6 + 745*g**2\/3 + 412*g\/3 - 544\/3 = 0.\nAnswer: -1, 2\/3, 4, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 3*l - 21 - 10*l. Let q = -9172 - -9156. Is p(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -34. Let n be c\/22 - 96\/(-44). Determine v, given that -112*v**3 + 0*v**2 + 113*v**3 - 4*v**2 + 3*v**n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43881200 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -14. What is the third derivative of -b**2 + 3*b**3 - 6*b**3 + m*b**2 wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/45)\/i*i)\/(i*i**(3\/17)\/i))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/2 + 129*m**2\/2 - 123*m = 0.\nAnswer: 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2448) - -1*sqrt(2448)) + sqrt(2448) + -4 + 5 + sqrt(2448) + sqrt(2448)*3*6 + 0)**2.\nAnswer: -1584*sqrt(17) + 1184841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.588 - -0.588. Which is the nearest to u? (a) 12 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.14, -1, -5, -0.2, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/475 and 55\/221?\nAnswer: 104975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 7*d + 2*d)*(d + 0 + 0) + 52 + 68 - 32801*d**2 + 32828*d**2 to the form k*d + s + a*d**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249 + 279. Let f = -26.934 - 0.066. Let w = l + f. What is the third smallest value in w, -4\/3, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j**2 - 8*j**3 + 4*j**3 + 2*j**2 - 14 + 5*j**3 - 17*j. Let n be y(-16). Does 6 divide (n\/(-15) + 430\/(-150))*-40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 30*s - 95. Let r be c(-33). What is the closest to 2\/9 in -0.2, r, 2\/3, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2\/5 - 559576*k\/5 - 111916 = 0. Calculate k.\nAnswer: -1, 139895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 2*p**2 - 8*p - 8. Let k be b(-6). Let o be k\/22 + 8\/(-44). What is the greatest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 5, 5532, -38 in decreasing order.\nAnswer: 5532, 5, 4, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j + 7. Let b be u(3). Suppose b*p - 2*z - z = 279, 369 = 5*p + 3*z. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c. Let x(k) = -7*k - 7*k - 8*k - 6*k. Calculate x(y(v)).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -10 - 1 - -9) + (36 - 6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*r = r - 1105, 3*r - 1495 = -4*g. Let z = -229 + g. List the prime factors of z.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -46. Suppose w = -3*f + 196. Calculate the remainder when f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13941*b*q**3 - 1466*b*q**2 + 615*b*q - 2*b - 70*q**3 wrt q?\nAnswer: -83646*b - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 - 4*b + 4. Let j be w(4). Suppose -j*k = -54 + 14. Which is bigger: k or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1634, -1 in increasing order.\nAnswer: -1, 3, 1634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 563*l - 566*l + 550*l + 70*l in the form s*l + a and give s.\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 269*i**6\/6 + 88*i**3\/3 - i**2 + 623. What is the third derivative of v(l) wrt l?\nAnswer: 16140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1561*g - 35 = 1566*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -10. Suppose 4*x - n = -5. Let t(c) = 3*c**3 - c**2 + 1. Give t(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-84)\/(-9)*1)\/(6\/9). Let n be (-15)\/(-12) + 632\/32. What is the highest common divisor of z and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 3*w**2 + 3*w**2. Let j(y) = -5*y - 2*y**2 + 3*y + 2*y. Give j(c(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:14 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.83 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*36657601\nAnswer: 73315202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56687219?\nAnswer: 37, 277, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/18)\/(7\/((-420)\/48)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.589782km in millimeters?\nAnswer: 4589782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137381461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 + -157.6. Are m and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 12*r + 12*r + 2*r**2 + 32*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + h**2 + h - 2. Let b be ((-9)\/15)\/((-1)\/5). Let r be (-2)\/4 + b\/2. Let m be k(r). Solve -2*u = m + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*v + 535 - 535)*(6*v**2 - v**2 + 0*v**2).\nAnswer: 185*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 10201, 36252, 86981, 170614, 295377?\nAnswer: 469496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 10:05 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 9*o - 2. Let y(c) = -c**2 - 9*c - 1. Let k(j) = -121*j - 1213. Let i be k(-10). Calculate i*x(r) + 4*y(r).\nAnswer: 2*r**2 - 9*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b + 6. Let c be w(0). Let z be ((-6)\/9)\/((-2)\/c). Find the second derivative of u + z*u**5 + u**3 - u**3 wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 10*x - 1139. Give m(38).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24689090?\nAnswer: 2, 5, 2468909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.06, -4, 4\/3, 0.02 in decreasing order.\nAnswer: 4\/3, 0.02, -0.06, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237991\/25962 - 1\/4327. Calculate the common denominator of -27\/2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-49) + (-117)\/168. What is the third biggest value in z, 2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-5) + (-18480)\/(-350). Suppose -1488 = -c*s + 23*s. Calculate the remainder when s is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 + 2.2. Sort 0.5, t, 0, -3.\nAnswer: -3, t, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-0.4.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3\/4 (c) 7 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.645203 millennia in years?\nAnswer: 7645.203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 3944*u + 379296.\nAnswer: 4*(u - 878)*(u - 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-4)*(-72)\/12. Let t = 40 + c. Let l = 15 - t. Calculate the lowest common multiple of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wccbbwcwotpp. What is prob of picking 1 w, 2 c, and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1309\/(-231) - 128\/(-12))\/(2\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2093 (base 13) in base 8?\nAnswer: -10642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217 - -219. Let p be r*(4 - (-122)\/(-28)). Which is the biggest value? (a) p (b) -1\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 69\/2. What is the third biggest value in -3, -3\/5, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27640 to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*d**2)*(-3 - 2 - 3)*(0 - 1 - 3).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -72 times 952\nAnswer: -68544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 31. Suppose -3*p - 47 = -4*u - d, -p + 7 = 3*u. Let v be 1\/((-3)\/u + 1). Solve -3*n - 1 = -v*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/((-99)\/88)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500*u + 1500*u - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3734*o - 59997. What is k(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 215*a - 150*a = 2672. Put a, 1, -138 in increasing order.\nAnswer: -138, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -82.3. What is the closest to -1 in u, 4\/5, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 209c + 41?\nAnswer: 20dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 594\/(-15)) + (-4)\/(-10). Let n = 15\/7 - 67\/28. Which is the third biggest value? (a) -4 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4836*k - 4673*k - 5086*k - 8 + 14061*k as h + v*k and give v.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 52*j - 130. Determine y(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -106*l - 1. Let q be f(-1). Calculate the highest common factor of 42 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -230\/11 (c) -1070708\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8173605*l*y - 40082843*y wrt l.\nAnswer: -8173605*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 20*i**2 - 27*i + 32. What are the prime factors of s(17)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -393, -0.09 in descending order.\nAnswer: 4, -0.09, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*a**3 - 204*a**3 + 86*a**3.\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 59\/5 of a microsecond?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 4*g**2 - 3*g - 3. Let a be h(3). Let i(o) = o**2 + o - 15. Let p be i(0). Let y be (-4)\/(-10) + 22\/p*3. Sort y, a, 3 in decreasing order.\nAnswer: 3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-4 - (-16 - 11)) - (-5 - 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -14?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 17100 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18439968 and 663?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 2007470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 32 = 9*z. Let k(x) = x**2 - 9*x + 1. What is k(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8105, -7840, -7129, -5750, -3481, -100, 4615?\nAnswer: 10886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d - 2*d)*(-20 - 44*d + 32*d - 9).\nAnswer: -12*d**2 - 29*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 371*b**3 + 260.\nAnswer: 1113*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -273.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94518.1 + -85580. What is o rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5605 divided by -1121?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -164. Let w = z - -107. Solve w = -4*i + 5*f - 1, 2 + 1 = 2*i + f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/4))**(3\/4))**(11\/2)*(t\/(t\/((t**(-1\/2)*t)\/t)))**43\/(t**(-1))**(2\/3) assuming t is positive.\nAnswer: t**(-2297\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + -12*(-18)\/(-10). Let q = -19 - n. Find the third derivative of -2*w**3 - 2*w**3 + 18*w**2 - 9*w**3 + 2*w**q wrt w.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 - 190. What is the greatest common factor of y and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 183*(-2)\/(-10)*23630\/556*6\/153?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a factor of 204875500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 + 61 - 12*d**2)*(-3810 + 3810 - 436*d**2) in the form g*d**4 + b*d + i + f*d**3 + a*d**2 and give g.\nAnswer: 5232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -122204143414?\nAnswer: 122204143421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536368.\nAnswer: 2, 7, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**9\/18144 - r**7\/2520 + r**5\/720 - 5*r**3\/3 + 2*r - 18. Let m(p) be the third derivative of z(p). Factor m(v).\nAnswer: v*(v - 1)**2*(v + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84721 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s = -49*s + 91*s. Which is smaller: s or -2\/100225?\nAnswer: -2\/100225","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173522977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 6*m + 6. Let s(y) = y**2 + 5*y + 6. Give -3*c(n) + 4*s(n).\nAnswer: n**2 + 2*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18999990\/(-5) - 3\/((-6)\/(-4)). Round x to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/41 at most 0.04998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -155054?\nAnswer: 1\/155054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.7 rounded to the nearest ten?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3, -1, -76 in ascending order.\nAnswer: -76, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4585 divided by 917\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 55*y - 27*y - 26*y + 1.\nAnswer: (y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21937 + 7360. Let a = y + 3483898\/239. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 662601 and 0.6.\nAnswer: 397560.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znwywwwmnmza. What is prob of sequence wznw?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 6*w**3 + 67 + w**2 - 67 as i*w + u*w**2 + p + z*w**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074431 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15936909?\nAnswer: 3, 5312303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 364\/9 + -122\/3. Which is the closest to 3? (a) 5 (b) -2\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*l - 200*l - 382*l + 15054 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*d + 16*d + 29*d + (2 + 2*d - 2)*(-1 + 2 + 1))*(15*d**3 + 16*d**3 - 32*d**3 + 17) in the form a*d**2 + k*d**4 + x*d + y*d**3 + f and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-63))\/(60\/36).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.1982 to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 0.3 (c) 5 (d) 3 (e) -290040\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:47 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (3*2*sqrt(77) + sqrt(77)))\/sqrt(11).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h - 4. Let q be p(3). Find the common denominator of (236\/q)\/((-24)\/(-6)) and 119\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**4 - 5*x**3 - x**2 - x + 1. Let y(m) = -m**4 + 28*m**3 + 20*m**2 + 3*m - 16. Let b(r) = 3*n(r) + y(r). Find the third derivative of b(z) wrt z.\nAnswer: -96*z + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p + 2. Let c be m(-2). Let f = 23 + c. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = 30*v + 10, l - 4*v - 16 = 0. Solve -24 = l*m - 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -3*r**4\/8 - 97*r**3\/2 - 2637*r**2\/4 - 2349*r\/2 + 1319. Let h(w) = 0. What is w?\nAnswer: -87, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2444 and 1872?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1120)\/5880 - 722\/(-4011)?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 15*f - 1600. Calculate the greatest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**5\/h))\/(h*(h\/h**13)\/h) assuming h is positive.\nAnswer: h**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 1881712206*y - 1881712206*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*b**2 + 658*b*j - 32090*j wrt b.\nAnswer: -60*b + 658*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 185*s**2 + 725*s - 75158. Determine u(92).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, 1, -14, 9, 3 in decreasing order.\nAnswer: 9, 3, 1, 0, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1239 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2700 = 204*c + 96*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/d**(11\/5))*d*d)\/d)\/d)\/(d\/(d**(-2\/25)\/d*d)))\/(d**(-3\/13))**(-3\/8) assuming d is positive.\nAnswer: d**(2687\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 44, -4, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - l)*(-5*l - 10*l + 3*l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.9. Let f = n - -1. Which is the closest to 0.1? (a) -3\/8 (b) -1\/6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 - f**3 - 1 - 4*f + 3*f + 2*f. Let n be v(6). Suppose n*g = g + 140. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -0.1. Suppose 0 = j - n + 4, n + 7 = -3*j - n. Which is the closest to p? (a) 0.3 (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40061 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*b + 24 = 470*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 2 = 5*y + 5*n, -3*y - 2*n = -35. Suppose 2*a + 4*k - 48 = 68, 3*k = 0. Calculate the remainder when a is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1903 (base 16) in base 12?\nAnswer: -3857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 82746025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -9.9856. Let u = -0.01 + q. 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: Suppose -2*j + 0*j - p = -6, -4*j = -3*p - 2. Suppose 5*t - 5*z + 4013 = 13093, 3641 = j*t + z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -131*c - 180 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93999324 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*l**2 - 7*l**2 + 2*l**2)*(4*l - 4*l - l**2 + (3 - 2*l - 3)*(8*l - l - 4*l)) to h*l + q + m*l**2 + f*l**3 + n*l**4 and give n.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14*(288\/30)\/8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 6. Let d be l(6). Suppose 5*p + 5*c - 15 = d, 7*c - 3*c = -p + 6. What is the third derivative of 2*z**3 - p*z**3 + z**2 + z**4 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k + 1. Let b(g) = 2*g + 1. Let z(f) = -4*b(f) + 3*m(f). Let h be z(4). Suppose -h = w - 5. Solve 6*a = w*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2*y**2 + 4\/3*y = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39425*l**3 - 47016*l?\nAnswer: -236550*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3, 75 in decreasing order.\nAnswer: 75, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 3. Let h be x(-1). Let b be -8 + 6 + h*3. Let m = 5 + b. Which is greater: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 3*b - 2*b - 4*b - 3 in the form c + t*b and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 12 + 44 + 60*p + 7 - 66*p to the form k*p + z and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7054*k**2 - 6639 wrt k.\nAnswer: -14108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3817036, 7634068, 11451090, 15268096, 19085080, 22902036, 26718958?\nAnswer: 30535840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 2, p: 3}. Give prob of sequence zp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 311, 466, 621, 776, 931?\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**2 - 12240*y. Let c(d) = -d. What is f(c(l))?\nAnswer: 7*l**2 + 12240*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 6:01 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**5 - q**4 - 4*q - 1. Let r(z) = z**4 - 3*z + 1 + 0*z + 0*z**5 + z**5 + 4*z. Let l(i) = -g(i) - r(i). Find the second derivative of l(b) wrt b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d + 150 = 58*d. Calculate the common denominator of 55\/6 and 1 + (3 - (-129)\/d).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.236 + -534.236. Let h = v + 531. What is the smallest value in -7, -0.1, h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57\/5 + (-25)\/(-70)*-2 + (-150)\/35. Find j, given that 2\/15*j**3 + l*j - 2*j**2 + 128\/15 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*231\/14. Let z be 1266\/(-66) - (-2)\/q. Let f = -9 - z. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*f - 1271 = -1922 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 2, y: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(119) + sqrt(119) + -3*sqrt(119)*-3)*-4)\/((sqrt(308)*4)\/sqrt(11))*-4.\nAnswer: -88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5049602 to the power of 1\/2, to the nearest integer?\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182616 and 231?\nAnswer: 2008776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 - 198. Calculate the remainder when -5 + (-6 + w)\/2 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 3\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 3*l + 8*l - 2*l**2 - 9*l - 4. Suppose -b + 3 = -0. Suppose 4*y + 15 = b. Let p(d) = -d**2 - 1. Calculate y*p(s) + r(s).\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/5)*j*j**(-1\/3)*j*j*(j*((j*j**(-1)*j)\/j)\/j)**34 assuming j is positive.\nAnswer: j**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -819.99 - -828. Let x = 8 - k. Let o = x - 0.99. What is the closest to o in -0.2, 7, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3583224 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 3*x**4 + 66)*(-3 - 2*x + 3).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 - -5. Let f be (-4 - -5) + 6\/(-14). Which is the biggest value? (a) f (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1371, -4042, -5847, -4620, 1805, 15594?\n\"Answer: 361*p**3 - 1733*p**2 + p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 148. Let h be s(-19). Solve 43*m = -158 - h for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -92*m**2 - 35*m. Let q be 34\/(-4)*((-56)\/7 + 10). Let h(w) = -31*w**2 - 12*w. Let j(a) = q*h(a) + 6*d(a). Find the second derivative of j(u) wrt u.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-891)\/(-30))\/(-9) + 3. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8 - 5*i + 0 + 3. Let g be f(-4). Is g greater than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:31 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3 - 2*y - 4 + 3. Calculate the least common multiple of (0 + -2)*(-11)\/2 and i(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(425))*6*-6)**2 - (-5 + (sqrt(2057)*1)**2 + 4))*-6.\nAnswer: -3300240 - 77760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**3 - 11*d**2 + d + 1. Let n(h) = -6*h**3 + 12*h**2 - h - 2. Calculate -5*l(i) - 4*n(i).\nAnswer: -i**3 + 7*i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244.785kg in tonnes?\nAnswer: 1.244785","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 teeewtetettztttewt?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**17)**(-1\/4))**35 assuming o is positive.\nAnswer: o**(-595\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 31*q - 61. Let s(y) = 85*y - 122. What is 5*h(f) - 2*s(f)?\nAnswer: -15*f - 61","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 27022 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {n: 2, o: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -469 - 251. What is o rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or -1\/313?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7944 * -4.871\nAnswer: -38695.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:01 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 130415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 361 - 971 = 0. Let p = 59 + t. Let d(y) = -y**2 + y + 1. Determine d(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2859 - 5189. Let k be (-139907)\/60 + (-5)\/(-25). Let g = k - q. What is the common denominator of g and -139\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -32*a + 21. Let f(w) = -8*w + 5. Suppose -7*z = 35, 0 = -4*c - 2*z + 6 - 8. Determine c*s(g) - 9*f(g).\nAnswer: 8*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-18))\/(139741\/(-34937) + 4). Let l = -1101 - g. Let d = 59285\/6328 + 5\/791. Find the common denominator of d and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*j + 440984 + 112554 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 10206 - 276*c**3 + 532*c**3 - 10209 + 534*c**3.\nAnswer: 790*c**3 + c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 4*r - 41, 60*i - 57*i + 5*r - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 19. Let y = 0.2 + -0.1. Let o = -0.2 + y. Which is the closest to o? (a) -4 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -30, 0, -13376, 5 in descending order.\nAnswer: 5, 0, -3, -30, -13376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**4\/4 - p**2\/2 - p + 9527. Suppose r - 1 = 1. Let m(i) = i**3 - 3*i**2 - 2*i - 2. Determine r*d(v) - m(v).\nAnswer: -3*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 5. Let f(w) = 7*w**2 - 2*w - 7. Let v be f(-2). Solve 4*u + 17 = z, -v = -2*z + l*u + 2*u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*7*(-12)\/(-42))\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -1*sqrt(1900) - sqrt(2793)\/sqrt(3) - (sqrt(304) + (2 + sqrt(304) - sqrt(304)) + -3 + 1)) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*32\/10248*(-7)\/(-2)*-1?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 626621666 to the power of 1\/2, to the nearest integer?\nAnswer: 25032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8 = -38. Let h be (4\/t)\/(8\/(-260)). Let n be (-476)\/(-12) + ((-4)\/(-3))\/(-2). Calculate the highest common divisor of h and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -409, -602, -779, -934, -1061, -1154?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8524.8 + 9368. What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 f when three letters picked without replacement from fhhfhfhohffoohfofoh.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-18 - -27) + 0 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**7\/42 + o**6\/6 - o**5\/3 - 155*o**2. Suppose a(l) = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000 (base 2) to base 11.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3910367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*q - 73, 36 = 2*q - n - 2*n. Suppose 337 = 3*m + 4*o + q, -5*o = -3*m + 367. Is 25 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5554918, -44439415, -149983058, -355515421, -694366078, -1199864603?\nAnswer: -1905340570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 + 24*t**2 + 28*t**2.\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -346075 - -4?\nAnswer: -346071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11930\/9 + -1326. Find the common denominator of -1*(-4)\/(72\/59) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 x when three letters picked without replacement from xhxpkpskkxhkvpk.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 - 4*s - 6. Let p(y) = -2*y**2 + 8*y - 4. Let g be p(2). Let t be g\/(-3)*(32 - 29). Determine l(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 6*h - 4. Let b be c(3). Suppose -b*u = -5*x + 75, 3*u + 25 = 2*x - 9. Does 12 divide x - 10 - (1 + -26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107824 and 1289200?\nAnswer: 29651600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35258 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 17 = -5*l, -2*l = 2*l - g - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = 8*l - 2*l. Let c be l\/(-28) + 10\/(-4). Suppose 72 = 2*n - 5*p - 51, c*n - 2*p = 179. What is the remainder when n is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 15. Let c be w(6). Suppose 0 = -4*y + 2*a + 408, -y = c*a - 6*a - 107. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9762.6ml in litres?\nAnswer: 9.7626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**3 + r - 4*r + 1 - r**2 - 8*r**3 + 0*r. Let d be m(-3). Suppose 23*o + 410 = d*o. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -1152.65529291?\nAnswer: 1146.65529291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, s: 4, u: 1}. What is prob of sequence shhu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 11:21 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 16, -135*g + 137*g = -4*w + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 10 - (6 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14523 and 22866?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*y + 26 = 0, -5*h - 135*y + 140*y = 95 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73328 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -462 - -543. Which is greater: -2\/13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2 + 77392*g - 7420416 = 0.\nAnswer: 96, 77296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/10)\/(1\/1). Let l = 0.6 - 0.9. Let n = l + 1.3. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3216 and 864?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 7734?\nAnswer: -7723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180139688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/2 - 5452*y**4 - 305949*y**3\/2 - 803502*y**2 = 0.\nAnswer: -21, -7, 0, 10932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 23*u - 8*u + 11*u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14064.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 38175*h**2 + 11*h - 38178*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12159, 17647, 23135, 28623?\n\"Answer: 5488*a + 6671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.63 times -9603\nAnswer: -34858.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.03797\nAnswer: 1.03797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.66 + -1.3. Let r = 0.3600031 - m. Round r to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86 - 67?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1331*j + 7998. Calculate q(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 39, 0.5, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2505802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97894 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 5*x + 5*w - 3*w, 3*w + 15 = 0. Suppose 0*n + x = 4*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2786481 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07791 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -c - 5*x, -4*c + 9*c + x - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -9*c + 126. Let n = 83 - c. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in centuries?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 79\/2*r**2 + 0*r**3 - 94 + 0*r + 103\/4*r**4. Find the second derivative of d(x) wrt x.\nAnswer: 618*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -43*v - 3. Let r(b) = -2*b + 2. Let m be r(1). Let j be (m + 1)\/(-9 - -8). What are the prime factors of o(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msssssmeqmsqqs. What is prob of picking 1 q, 1 e, and 1 m?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41595638?\nAnswer: 2, 7, 23, 101, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from ckcxxhxkxkp.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107438 is divided by 254?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 - 3*d**3 - 4*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1149 divide 1453485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**4\/24 - p**3 - 3*p**2. Give i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:37 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38a3 - 2?\nAnswer: -38a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249356310.\nAnswer: 2, 3, 5, 7, 1187411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1495316, -1495327, -1495346, -1495373, -1495408?\nAnswer: -1495451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-26) + (-189)\/39. What is the common denominator of (-3)\/t + (-4077)\/(-180) and 3\/11*(-124)\/(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and ((-16*14)\/7)\/(1 - -14).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1377, -2747, -4117, -5487, -6857?\n\"Answer: -1370*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12460.424+0.2\nAnswer: -12460.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1376*f**2*q**4 + 997*f**2*q**2 - 4*f*q**4 - 40*q**3 + 367*q**2 wrt q.\nAnswer: 33024*f**2*q - 96*f*q - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41*1 - 0\/5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42942 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m - 30. Let c be i(4). Suppose -c = -2*p + p, 170 = 3*x - 5*p. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -111, -145, -253, -471, -835?\n\"Answer: -6*z**3 - z**2 + 11*z - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 78\/4*(-8)\/30*50\/(-20). Solve -7 + i = g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4*j - 84, 0 = -2*k + 5*j - 13 + 52. Suppose 0 = 4*y - 4*i + 4, -2*y - 2*i + k = 2*i. Solve 5 = -2*d + 3*r - 0*r, 0 = d + y*r + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 3, 157, 2, -4, -2 in descending order.\nAnswer: 157, 3, 2, -2, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3313162 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*45\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 83\/5, 17.6 in decreasing order.\nAnswer: 17.6, 83\/5, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {m: 13, q: 2, i: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.13 or 20070075?\nAnswer: 20070075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97019 + -0.35?\nAnswer: 97018.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1315, -2662, -4009, -5356?\nAnswer: -6703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35020 (base 7) to base 6\nAnswer: 105204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231444 (base 5) in base 4?\nAnswer: 2002312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v - 409. Give c(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 11. Determine v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20519, -41038, -61557, -82076, -102595?\n\"Answer: -20519*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15728 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36412245.\nAnswer: 3, 5, 691, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - 108. Let h(b) = b**3 - 6*b**2 - 8*b + 12. Let t be h(y). Solve -t*c + 4 = -3*f - 22, -2*f + 4 = 2*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 7. Let t(a) = a**3 - 7*a**2 + 8*a - 8. Let q be t(6). Suppose q*c + 3*g + 9 = -0*g, -4*g + 50 = -5*c. Give i(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:13 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 97 + -76?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 = 2*a. Let i = 268 + -175. Suppose r = 5*o + 13, -6*o + i = 5*r - 3*o. Calculate the greatest common divisor of r and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -805232.6 or 1?\nAnswer: -805232.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*w + 302 = 1930. Solve 5*k - 33 = -m - 28, -4*m + w*k - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-15)*m)\/m*m\/(m*m**(1\/8)\/m*m)*m assuming m is positive.\nAnswer: m**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v**3 + 489*v**2 + 339843*v + 84930 = 0 for v.\nAnswer: -149, -1\/4, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*h + 6, 4*u + 2*h - 18 = 0. Let x(o) = 138*o + 15. Let l be x(u). Suppose 83 = 8*w - l. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 + 111.92. Let v = r - -0.08. Let g = 127\/180 + 2\/45. Which is the second smallest value? (a) v (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 24, 2, -28, -66, -112, -166?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7 - 10 = 0. Let a be (2\/u)\/(1\/3) + -7. Sort a, 2, 4, 5.\nAnswer: a, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - -9. Let m be (-3)\/2*i\/(-3)*2. Calculate the greatest common divisor of m and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -126*t**3 + 21. Let i(l) = 25*l**3 - 4. What is -2*c(r) - 11*i(r)?\nAnswer: -23*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gogfoffrbo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12)*-2)\/(10\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((8 - 1) + -6 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 138 - 4350?\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -14.8. Let g = 1193 + -1192.98. Which is the nearest to -4? (a) g (b) x (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9069682.\nAnswer: 2, 23, 71, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3340 and 37\/1670.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.3 + -6. Let c(a) = 20*a - 2. Let z be c(1). Let g be (2\/(-6))\/(z\/24). What is the closest to 0 in q, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89424219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 64*w - 827. Let s be n(13). Solve 21*k + 100 = -s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*h**2 + h**4 - 156*h**2 + h**4 + (0 - 3 + 1)*(-2*h**4 - 2*h**3 + 2*h**3) to r*h**4 + p*h + u*h**3 + l*h**2 + y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 34*x - 424. Suppose -y + 15 = -5*o, 0 = 2*y - 4*o - 0*o - 48. Calculate the least common multiple of w(13) and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581626 is divided by 219.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3290*i**2. Let v(p) = 47*p**2. Calculate 2*h(g) + 141*v(g).\nAnswer: 47*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8 + 6 + 622*f + 610*f - 1199*f + 19. Let a(g) = 8*g + 4. Determine -26*a(z) + 6*o(z).\nAnswer: -10*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 9. Let m be j(-9). Let r = m - -49. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -953 and 18?\nAnswer: -17154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -376*a - 13*a**4 + 376*a + a**4 - a**4 - 2*a**4 - a**3 + a**3 - 2*a**4 + (-1 + 1 - 2*a**2)*(0*a**2 + a**2 + a**2).\nAnswer: -21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -543, -548, -555, -564, -575, -588?\n\"Answer: -s**2 - 2*s - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from tzzrtzzzztztzzzztzzr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12 = -2*m. Solve -4 = 2*f - c, m*f + 6 = 8*f + 5*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -1)*(-6 - 96\/(-18)). Let t(q) = -22 - q**3 + 4*q**i + 39 - 18 + 2*q. Give t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-40)*(-10)\/(-174)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1461*m + 1460*m = 2*y - 11, -y = 3*m - 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(4\/(-2 - -1) - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*v + 7. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 312, 478, 988, 2034, 3808, 6502, 10308, 15418?\n\"Answer: 32*p**3 - 20*p**2 + 2*p + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 8, 51, -3 in descending order.\nAnswer: 51, 8, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*x - 126, x + t - 38 = -0*t. Let p = 41 - x. Is p less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2891*w + 47. Let k(l) = -5782*l - 110. Give 3*k(b) + 7*s(b).\nAnswer: 2891*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200545 and 243746615.\nAnswer: 10555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/((-35)\/5) + 4. Let n(v) = -v**3 - 4*v**2 - 15*v - 6. Let y = 7 - -4. Calculate the remainder when n(s) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124409 is divided by 61902.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -249*c**2\/4 + 218865*c\/4 + 2637\/2.\nAnswer: -3*(c - 879)*(83*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 0*p + 0*p**4 - 2\/3*p**6 - 4\/3*p**3 + 0*p**2 - 3 + 0*p**5. Find the third derivative of w(c) wrt c.\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82? (a) -30\/11 (b) -0.5 (c) 0.4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3\/12 + 51*x**2\/8 - 110. Factor m(v).\nAnswer: v*(v + 51)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let o be 9\/f + (-1)\/1. Let t = 14 - 16. What is the closest to -2 in o, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-10) - 1)\/(111\/(-2220)). Let x be (0\/5 - h)*-5. Solve -x*c = -36*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8\/11, 90, -5, -0.4 in increasing order.\nAnswer: -5, -0.4, 8\/11, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. What is the derivative of -4*a + 2 + 7*a + 5*a - f*a wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 17*d**2 - d - 160. Calculate the remainder when 768 is divided by a(18).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/5814*17)\/(1\/(-3))*-216\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60836512 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -388? (a) -0.4 (b) 0.5 (c) 1\/315 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/38)\/(0 - 5\/10). Let y(r) = 4*r**2 - 18*r - 12. Let c be y(5). Which is bigger: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(20\/45*3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421*v + 13074 = -420*v. List the prime factors of v.\nAnswer: 2, 3, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/(0 + 4\/(-16)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - 3*w)*(0*w + w + 0*w) + 4*w**2 - 3*w**2 - 3*w**2 + (-2*w + w - 3*w + (2 - 1 + 0)*(2*w - w - 3*w) + 1 - w - 1)*(-454*w + 200*w + 204*w).\nAnswer: 345*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5100 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 46, -12 in descending order.\nAnswer: 50, 46, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 3*u - 3, 37*u + 71*u = -3*j + 111*u - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95\/357 + -1\/51. Let m = -919 + 925.53. Let w = m - 6.23. Which is the second biggest value? (a) f (b) -1 (c) -0.13 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -3*u. Suppose 2*o + 25 = 3*y - 5, 0 = -u*y - 2*o + 66. List the prime factors of -18*(-3)\/y*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**6\/3 + 7*t**2 + 19*t. What is the derivative of p(s) wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:40 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 8 - (25 - 23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*n - 0*n + u, 0 = -2*n - u + 27. Let t = 5 + -5. Suppose t = 16*l - n*l - 40. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, g: 9}. What is prob of picking 1 g and 3 r?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-3 - -5)\/1. Suppose -b = -l*b. Suppose -3*v + 4*i - 1 = 0, b = -6*v + 3*v + 5*i - 5. Calculate the highest common factor of v and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 3*f**2 - 95*f + 16. Let b(c) = 8*c - 204. Let j be b(27). What is the units digit of t(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(sqrt(1458)*1 + sqrt(1458))\/(sqrt(9)*-1*-6).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 5. Let m be b(2). Is (-53)\/m*1*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.757 + -20.757. What is the closest to y in 5, -0.4, 0.17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:52 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -257*(-1 - (3 - 3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (784\/(-7))\/8*2. What is the units digit of (-1924)\/h + (-2)\/21*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 63.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-11 + (-28 - (-1 - (-3 + -10))))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9727796 is divided by 1084?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38586709 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*x - 1002 + 1085, -3*c - 63 = 3*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 1. Let y = -3528\/5 + 705. Put z, -3, y in decreasing order.\nAnswer: z, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 11*p**2 + 14*p - 8. Let a be u(12). What is the second derivative of 2*s - s - a*s**2 + 4*s wrt s?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -27*n + 6. Determine s(4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.71121ml in litres?\nAnswer: 0.05271121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*d + 1 = 24, 0 = p + d - 1. Calculate the remainder when (4 + p)\/4 + 9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(125)*-2 + -1 + sqrt(320) + -3.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-307178)\/(-9) + 1)*22\/66. Let v = i - 11379. Let u = -6828 - -143362\/21. Find the common denominator of v and u.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -59. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 47, 46, 33, 8, -29?\n\"Answer: -6*v**2 + 29*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(294) + (-5*sqrt(294) + sqrt(294) - sqrt(294)) + sqrt(294) - sqrt(294) - sqrt(294)).\nAnswer: -sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 24) + 9 + -5 + 7 + -1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 9*j**2\/2 + 22. Let i(r) be the third derivative of -r**5\/30 + 21*r**2. Determine i(a(t)).\nAnswer: -162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, -2, 82, 1 in descending order.\nAnswer: 82, 1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -l + z, 25*l = 22*l + z - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*n - 36, 0 = n + 3*q + 2*q - 8. Suppose -6*p + n = -11. Let a be 2\/16*p*-10. Put a, 1, 3 in increasing order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 7, -1\/239?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t + 40. Determine b(-15).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -450385798 to the nearest 1000000.\nAnswer: -450000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.2 + -14.9. Let g = h + -0.3. What is the third biggest value in g, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -15. Let l(c) = c**2 - 1. Let g(n) = 7*n**2 - 9*n + 2. Let f(i) = -g(i) + 6*l(i). What are the prime factors of f(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5377*k**3 + 2397*k**3 + 3097*k**3 + 5*k.\nAnswer: 117*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7e3 - -3?\nAnswer: -a7e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -457 (c) -0.5 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.084 + -0.087. What is u rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/2799 and 46\/15 + 176\/(-66) - (-557)\/270?\nAnswer: 16794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/23 + 4264*s**2\/23 + 42790*s\/23 + 107100\/23 = 0.\nAnswer: -5, 2142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 + -135. Let j(s) = 21*s**2 + 3. Let f(y) = 62*y**2 + y + 8. Let g(i) = t*j(i) - 3*f(i). What is the second derivative of g(h) wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 42 + 27*m**3 + 9*m**3.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -37 + 0*r + r - r + 3*r. Let u be p(11). Calculate the remainder when (3 + u)\/((-3)\/114) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*q - q. Let r be (-6 - -3)\/((-3)\/q). Suppose -6*g = 5*a - r*g - 125, g = -5. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771476010 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*z = 0, -2*y + 4 = -2*z - 2. Suppose -4*t - 710 = -2*o, 0*t = y*o - t - 704. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddiddd. Give prob of picking 3 d and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3))**(2\/125) assuming r is positive.\nAnswer: r**(-6\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b - 625425 = -632259 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**6\/6 + 8*j**5\/5 + 11*j**4\/4 - 20*j**3\/3 - 8. Find i, given that z(i) = 0.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2837619132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 33. Suppose 3*i + 4*s = 0, s + 3 + 0 = 0. Suppose -i*v - 2*x + 3*x + 73 = 0, v + 2*x = 7. Calculate the greatest common factor of v and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:12 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/3*c - 1\/3*c**3 - 16 - 16\/3*c**2.\nAnswer: -(c + 2)**2*(c + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 7:26 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - ((-22 - (0 - 3)) + 2443 + -2430).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**6\/90 - 2*a**3\/3 + 2*a. Let h(y) be the second derivative of x(y). Let m(p) = p. Calculate h(m(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 3. Let m = 16 + -11. Let f(g) = 4*g + 4. What is m*f(n) + 6*y(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4 + 0 - 1)*(-n + 4*n + 0*n).\nAnswer: 3*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from hhhcc?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5541094 divided by 6.\nAnswer: 2770547\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 - 308 = 2*f - m, 182 = -4*f + m + 154 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005917165 rounded to 5 decimal places?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/(-25) - (-3)\/15. Suppose i*f - 32 = -4*b - 10, 5*b - f = 38. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7*x**(-8))\/(x\/((x**(1\/2)\/x)\/x))**16)\/((x\/(x**0*x))**(-42)\/(x\/x**8*x*x**(-2\/7))) assuming x is positive.\nAnswer: x**(-331\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-14)*4 - (-8)\/(-21). Suppose 4*f + p + 11 = 2, 3*f = -2*p - 13. Is y <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/14)\/((-11)\/2 + 3 - (-8283)\/3514)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3. Let a be -2 + ((-8)\/(-4) - 1). Let y(i) = -i. Determine a*j(u) + 2*y(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(-28*17\/(-39984))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(9\/(-132))*1. Let x = -71 - j. Let q = x + 39. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) -1 (c) 3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2. Let a(i) be the first derivative of 3*i**4\/4 + i - 6. Let z(l) be the first derivative of a(l). What is w(z(h))?\nAnswer: 162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -28033?\nAnswer: -28026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/150 and (-19 - -27)\/(-1) - 950\/(-108)?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 5*f**2 - 6*f - 5. Let j = 16 + -69. Let p = 54 + j. What is the lowest common multiple of p and q(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1650 = -10*z. Suppose -165 = -3*r + 4*a, -3*r - 4*a + z = 2*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83577, 193, 2 in descending order.\nAnswer: 83577, 193, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) -2\/3 (b) 2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = c - 4*c + w, w + 8 = 2*c. Let h be (159\/(-6) + c)*-114. Let o = 6479 - h. What is o rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*r**2 + 56*f**3*r - 543*f**3 - 8*f*r**2 - 2*f wrt r.\nAnswer: -4*f**3*r + 56*f**3 - 16*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -383 + 3632. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 - 1 + l + 1 + 2*l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -777*d**4\/4 - 2*d**3\/3 + 1865*d**2 - 6576. What is the second derivative of x(o) wrt o?\nAnswer: -4662*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2487 + 2476. Which is the closest to 1? (a) j (b) 2\/63 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(3\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1482.04 + -35.04. Let a = -1256.1 + n. Round a to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 3*k - 2. Let u be t(2). Let w(b) = -b**4 - 1. Let p(l) = -3*l**4 + 2*l**3 - 2*l - 5. Let n = -5 - -6. Let f(r) = n*p(r) + u*w(r). Factor f(h).\nAnswer: (h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -14*f**5\/5 + 9*f**4\/5 + 15*f**3 + 67*f**2\/5 + 3*f = 0.\nAnswer: -1, -5\/14, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 + 68 - s - 226 - 57.\nAnswer: -s - 657","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -434, -439, -448, -461?\n\"Answer: -2*r**2 + r - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 425\/75 - 2\/3. Let z(w) = -4*w + 0*w + 3*w - w**3 + 0*w**2 - d + 6*w**2. Determine z(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1111100010111101010010011000?\nAnswer: 1111100010111101010010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 20 = 5*t + 21, y + 1 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 22*c - 28*c. List the prime factors of (7\/(-42))\/(c\/2)*-855.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23074 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -206383104 divided by 3?\nAnswer: -68794368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - p + 6*p - 23, -11 = 5*j + 3*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 20 + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/3)\/(2\/(-6)). Let s be (-220)\/(-35) + (-4)\/14. Let f = j - s. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, -0.004, -0.2, -191 in descending order.\nAnswer: 2\/3, -0.004, -0.2, -1, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgkkgggkkkkkkkkkkkk. Give prob of sequence gk.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 352007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 1767839524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6193504l?\nAnswer: 619.3504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 5*d - 5*d + 13*d - 2*d + 5*d + 63.\nAnswer: -d + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17958 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11465.54 and 1122?\nAnswer: -12864335.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 4. Let h be n(-3). Let j(u) = -8*u**3 - h*u + u - 2*u**2 + 6*u**3. Let d(i) = -2*i**3 - i**2 - 3*i. Give 4*d(c) - 3*j(c).\nAnswer: -2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*(h\/(h**4\/h))\/h*h*h*h)*h*h*h)\/(h\/(h\/(h\/((h\/(h\/(h\/(h\/(h*(h*h**(-2\/3)*h*h)\/h)))))\/h)))*h)*(h\/(h*h**(-2\/7)))**(14\/3) assuming h is positive.\nAnswer: h**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.348 + 17.352. Let f = 17 - k. Let m = f + -0.17. Round m to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620*k - 2925 = -20947 - 1818 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99560771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 0*x**3 + 6*x**3)*(2*x**2 + 0*x + 0*x) + 2*x**5 + 0*x**5 + 8*x**5.\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most -1333463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86, -29, 64, 193, 358, 559, 796?\n\"Answer: 18*j**2 + 3*j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -176, -298, -418, -536, -652, -766?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9520)\/102)\/(-28)*138\/10.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 267933, 267970, 268033, 268122, 268237?\n\"Answer: 13*p**2 - 2*p + 267922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -325.8 - -325.8113. What is z rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x - 4*x - 5*x - 666 + 665. What are the prime factors of z(-11)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729251551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 160424*y**2 + 18 + 50*y**3 - 160424*y**2 in the form n + m*y + a*y**3 + k*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424170834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, 17\/6, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 152261620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 18*a**2 - 2*a - 29. Calculate q(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:46 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006642 rounded to seven decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -10*d, -3*y - 3*d + 148 = 133 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2695)*-1)\/(-6*sqrt(176)))**2.\nAnswer: 245\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 5. Let c(i) = 3*i**2 - 13*i - 6. Let a be c(5). Let y(r) = -r + 4. What is a*y(k) - 3*s(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m - 22. Let w(b) = 15*b - 44. Let v(d) = -6*w(d) + 13*z(d). Let l be v(0). Let a = l - -18. Let t(i) = -i**3 - 5*i**2 - 3*i - 2. Determine t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1191, 0.06, 62 in decreasing order.\nAnswer: 62, 0.06, -1191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3. Let g(s) = -s + 6. Let m(o) = -2*f(o) - g(o). Let i(q) = -4*q + 6. Give -i(d) - 6*m(d).\nAnswer: -2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10381*t**2 - 2*t + 10154*t**2 + 3*t - t as v*t + m*t**2 + l and give m.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xggi when four letters picked without replacement from {k: 1, i: 1, x: 1, g: 2, a: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 6*q**5 + 92697*q**4\/2 + 5677971*q**3\/4 - 773481*q**2\/2 - 3600885*q\/4 - 357771\/2 = 0.\nAnswer: -7694, -31, -1\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 467\/3499 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138712*f + 67*f**2 - 16*f**4 - 1 + 277432*f - 138720*f + 2 to a*f + h + p*f**2 + y*f**3 + v*f**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -75.946. Let h = -0.054 + q. What is the third smallest value in h, -3\/2, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - -1 - (4 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = q + 9, -4*m - 3 = -2*q - 3*q. Suppose -90 = -0*h + q*h. Let a = h + 60. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/30 - ((-1)\/5)\/1. What is the second smallest value in x, -4, 2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6 = b, -b - 3 - 7 = -2*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 - 134. Suppose -g - f*r = -214, 4*r = 9*r - 5. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1673 (base 9) to base 14.\nAnswer: -677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**2 - 15*j - 25. Let a(k) = 7*k**2 + 12*k + 20. Let x(w) = 5*a(w) + 4*l(w). Let r(f) = 17*f. Calculate x(r(h)).\nAnswer: 867*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4920, -2, -6.\nAnswer: -6, -2, 4920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-144))\/((4\/(-9))\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 27. Let r be i(-29). Let q be 5\/(-20) + (r - (-69)\/12). Let m = q + -53. What is the common denominator of -41\/13 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) 1 (b) 7\/19155 (c) -5\/3 (d) -4\/3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 2. Let c(t) = -t**2 + 12 + 4*t - t - 7*t. Let d be c(-6). Let w be k(d). Solve -8 = 2*f, 6*x = w*x + f + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172960179.71 less than -0.66741?\nAnswer: 172960179.04259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 - 7) - (8 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 20, 17, 12, 5, -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {c: 3, t: 1, s: 10, r: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*a**3*w*z - 711*a**3*z + 2892*a**3 - 92*a*z + 93699*w wrt z?\nAnswer: -56*a**3*w - 711*a**3 - 92*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -102. Suppose t + 14 - q = 0. Calculate the remainder when 61 is divided by (-183)\/(-9) + 3 + 2\/t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*d - 97*d = 234. Solve d = -16*y - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -112, -421, -928, -1633, -2536, -3637?\n\"Answer: -99*x**2 - 12*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 96 = -54. What is the remainder when 61 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 6 + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 9820.\nAnswer: 294.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 815.\nAnswer: -2445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/312*12\/20\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 11 = -12*s + i, 3*i - 9 = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2967 - 2967. Let h(z) be the third derivative of 0 - 9*z**2 + 0*z - 1\/420*z**7 - 1\/240*z**6 + 0*z**4 + 1\/60*z**5 + p*z**3. Factor h(u).\nAnswer: -u**2*(u - 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6264.7 grams in micrograms?\nAnswer: 6264700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 10. Suppose -2*h - p + 8 = 0. Solve -h = -0*b - 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -1 + -2 - 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10548546 or -10548548?\nAnswer: -10548546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1174030299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4296 + 8345. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 3958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 5*q**2 + 6*q + 3. Let r be j(-6). Solve r*u - 8*u = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4))**17 assuming r is positive.\nAnswer: r**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 18) + -20 + 29\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 731 divide 48338391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.14. Let k = 0.3 - h. Which is the smallest value? (a) -2 (b) 1\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:12 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.874ug in milligrams?\nAnswer: 0.074874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let s(j) be the second derivative of j + 0 + 1\/3*j**3 + 0*j**2. Give f(s(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfqq when four letters picked without replacement from {f: 2, c: 4, q: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 195*w. Let v(g) = g + 80. Calculate v(k(x)).\nAnswer: 195*x + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -21*w**5\/4 - 3095*w**4\/4 + 5065*w**3\/4 - 165*w**2\/4 - 595*w + 149 = 0.\nAnswer: -149, -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/2469533 and 10\/2277.\nAnswer: 22225797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (22\/16)\/(6\/48)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 514*t**3 + t**2 + t. Let w be (-5)\/15 - (-6)\/(-9). Let l be b(w). Let s = l + 895. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + 9. Suppose -m*w - 1 + 18 = a, 2*w + a - 8 = 0. Calculate the greatest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3432.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvtwnwwntlnlntx. Give prob of picking 1 t, 2 w, and 1 l.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 4. Let p = t + 4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -640 - -645. Which is the second smallest value? (a) -0.03 (b) y (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1243338, 8, 5 in descending order.\nAnswer: 1243338, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.406? (a) -3 (b) -2 (c) 4 (d) 2 (e) 0.0012\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2)*2 + 0)*3. Suppose 4*v = 4*w + w - 43, -b*v = -2*w + 20. Let z = 77 - w. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 5 - 2 - 4)*(9*r**4 + 2*r**4 + 3*r**4).\nAnswer: 14*r**5 - 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.004 (b) -6 (c) -1\/8 (d) 0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1785*h**3*v - 2*h**3 - 4*h**2*v - 4*h*v - 1166347*h - 2*v wrt v.\nAnswer: 1785*h**3 - 4*h**2 - 4*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 16.3, 0, -251715?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**3 - 12*c**2 - 19*c + 2. Let g(m) = -4*m**3 - 10*m**2 - 19*m + 2. Determine 6*g(z) - 5*j(z).\nAnswer: z**3 - 19*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -221\/66154?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*c + 6, c + 9 = -2*m - 2*c. Let z = 1.5 + -1. What is the closest to m in 0.1, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94397812642869\/16654 + 5668176570. Let r = 81\/22 + -61405\/16654. Let x = r + j. What is the common denominator of -7\/8 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**2 - 12*n + 17. Let g(t) = -3*t**2 - 13*t + 16. Let l(m) = 3*g(m) - 2*o(m). Let f be l(-14). Is (1 - -8) + f\/(-14) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -93. Calculate the remainder when 83 is divided by v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-3 - -9)*7 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -2)\/((-4)\/(-40)). Suppose 7*p - 11*p + a = 0. Calculate the remainder when ((-10)\/(-4))\/(p\/30) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -1)*(-11 - (-1111)\/99). Factor -q*m**2 + 2\/3*m**3 - 4\/3*m + 0.\nAnswer: 2*m*(m - 2)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + t - 1 - 4)*(26 + 4 - 72)*(-30*t + 158*t - 4*t) to the form k*t + w*t**2 + l and give w.\nAnswer: -10416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 2*w**2 + 2*w - 2. Let v(b) = 3*b**3 + 5*b**2 - 5*b + 5. Suppose 0 = 4*t - 28 + 88. Calculate t*n(f) - 6*v(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c**14*c)\/c*c*c**(-11\/2))\/(c\/(c*c**(-5)\/c)*c**(-8)) assuming c is positive.\nAnswer: c**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -88, -127, -162, -193, -220?\n\"Answer: 2*z**2 - 49*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5512*r = 3*n + 5507*r - 69, 12 = -4*r. Solve 9*j = -0 - n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*u + 3*u - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*3\/21 + (-1134)\/(-49). Suppose -5*h + x = -12. Solve 0 = -s - 12 + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 3*b + 2. Suppose -34 = -5*t - 3*g, -2*g + 0 - 4 = 0. Let z be (6\/t)\/((-3)\/(-12)). What is c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + g = -54. Suppose -g*t + 2*y = -213 - 27, -3*t + 246 = -4*y. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*w + 8 = 0, -4*s - 4*w + 0*w + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 30*t - 3. Let x be d(-12). Let i = x + 33. Factor 105*f**3 + f**4 - i*f**3 - 4*f**4.\nAnswer: -3*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - -1 - ((-54 - (-8 + -11)) + 42) - -13\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**4\/24 + 4*s**3\/3 + s**2. Let t be h(-6). List the prime factors of ((-9)\/t)\/(6\/(-32)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9*a + 308 = 0. Suppose -c = 3*g - 76, g + 2*c - 30 = 4*c. Calculate the remainder when a is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.04 - -0.04. Let t = -2 - -2. Let j = -3 - t. Which is the nearest to 1? (a) j (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1342432 - 21?\nAnswer: 1342411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4)*w*((w**(-1\/3)*w)\/w)\/w)\/(w\/(w**(-2\/7)\/w*w))**11*(w**(-3\/5)*w**(-1))**(-5\/6) assuming w is positive.\nAnswer: w**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 5 = 18*w. Suppose -b + 2 - 1 = 0, w*z = 2*b + 78. List the prime factors of 1034\/z + (-12)\/(-32).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -25\/6*n**3 + 1 + 1\/24*n**4 - 1\/12*n**5 + 0*n + 1\/20*n**6 - 3*n**2. Find the second derivative of t(c) wrt c.\nAnswer: 36*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = -199 - 305. Suppose -37*j + 49*j = a. Find w such that 16\/5*w**j + 0 + 4*w**3 + 0*w - 10*w**4 = 0.\nAnswer: -2\/5, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/222408 and -34\/963.\nAnswer: 23797656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231000084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3\/6 - 7*s**2\/2 - 3*s. Let u be h(12). Suppose m - 4*i + 48 = 3*m, 168 = u*m - 2*i. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84829650 to the nearest integer?\nAnswer: 9210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 7*x**2 - x + 3. Calculate r(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1258730*v - 22657139. What is l(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166.4 - -124. Let s = 1469 - 1443.9. Let g = h + s. Round g to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6870369 and 1342?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 272 = d, -715*v + 219 = -712*v + 18*d for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10695, 10407, 10119?\n\"Answer: -288*u + 10983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - 2 + 3*v**4 - 1 + (5*v**2 - 5*v**2 - 2*v**4)*(2 - 3 - 1) - v**4 + 2*v**4 + 0*v**4.\nAnswer: 8*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 94 = -94. Suppose t*g - 5*d - 25 = -g, -2*d + 122 = 4*g. What is the greatest common factor of g and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/37 in 54, 3\/4, -4\/3, -0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 233 + 70 - 37 - 1083*x**4 + 1006*x**4 wrt x.\nAnswer: -308*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.1. Let u = -1.12 + 1.62. Which is the closest to -2? (a) y (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463633 (base 7) to base 5.\nAnswer: 10123411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 3.19. Let q = l + -0.39. Let f = -3.1 - -3. What is the nearest to 1 in f, q, 1.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-37)\/(-370))\/((-23)\/(-10) + -2). What is the biggest value in 186, 4, s, -3?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-3) + (-2)\/(-1). Let m = x + -9. Put m, 3, 10 in descending order.\nAnswer: 10, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (-59 - -61).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*9\/(-30)*(-800)\/900*-21?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:04 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) -0.5 (c) 2.12 (d) -0.4 (e) 232 (f) -5 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2. Let i(p) be the third derivative of -p**7\/630 - p**4\/24 + p**3\/6 - 2*p**2. Let z(k) be the second derivative of i(k). What is z(t(m))?\nAnswer: -100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = p. Suppose -p = -3*u + 1. Suppose 0 = 6*w + 5 - 65. Calculate the smallest common multiple of w and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by (-31)\/(2 + -9 - -6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141\/2 - -561\/8. What is the third biggest value in -0.6, d, -0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)\/b**(2\/7)*b**(-2)*b*b*b*b*b**3*b)**(2\/33) assuming b is positive.\nAnswer: b**(268\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose d + 5*x = -12, l*x + 5 + 5 = -d. Let n = d + 18. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -65*m. Let g(q) = 49*q. Let v(x) = 3*c(x) + 4*g(x). Let n(l) = -l - 1. Let s(u) = 28*u - 2. Let d(k) = 6*n(k) - 3*s(k). What is v(d(o))?\nAnswer: -90*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 2*r - 3*x, r + 2*x + 45 + 6 = 0. What is the common denominator of -1*(6 - 3) + (-453)\/(-84) and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82.8914388 - 88.83644. Let v = m - -2.9450023. Let o = v + 3. Round o to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*x**3 - 21*x**3 + 17*x**3.\nAnswer: 90*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 76*c + 177. Calculate n(-36).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*z + 1448 - 18. Suppose -7*m + z = -127. What is the remainder when 42 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10624838.\nAnswer: 2, 7, 19, 59, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 409 + -99. List the prime factors of ((-24)\/(-10))\/3*k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*g**2*o**3 + 24*g**2*o*x - 45*g**2*o - 14266*o**3*x + o**3 wrt x.\nAnswer: 24*g**2*o - 14266*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11655358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2\/3 - 24028*s\/3 + 8008 = 0.\nAnswer: 1, 6006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 414.448 milliseconds?\nAnswer: 0.414448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 10*h - 8. Let z be s(-4). Let k(y) = 5*y + 56. What is the units digit of k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(17) + 4 + sqrt(17) + 0 - (sqrt(17) + 1)*3))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 240 - 24*t - 240 + (3*t + t + 8*t)*(-4 + 3 - 6) - 4*t + 2*t + 3*t - t + 4*t - t + t - 4*t + t - t - t + 0*t + (1 - 1 - 1)*(-2 + t + 2) + 1 - t + 1 + 3*t.\nAnswer: -108*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6090 minus 107?\nAnswer: -6197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**0*j*j))*j**(-11\/3))\/(j*j**(-17)*(j**(1\/2)\/j)\/j*j) assuming j is positive.\nAnswer: j**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 386906 and 4784.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97228 less than 97228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.2, -5\/3, -0.41, 1, -16?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + u + 2*u + (0 - 2*u + 0)*(-5 + 0 + 4) + 0*u - 2*u + 4*u + 4*u - 3*u + 0*u + (15 + 4 - 10)*(-38*u - 61*u + 55*u) - 2*u + u + 0*u.\nAnswer: -393*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4 - 4 + 2*w. Let s(q) = 2*q + 17. Let r(f) be the third derivative of -f**4\/24 - f**3 + 4*f**2. Let g(u) = -17*r(u) - 6*s(u). Determine c(g(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*a = -2*t + 72*a - 21, -2*a = 2*t + 26 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6022696.7 rounded to the nearest ten thousand?\nAnswer: -6020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o + 9. Does 18 divide k(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3 + 8. Let m be 2 + -1 - (r - 0). Let x(z) = -2*z - 4 + 1 + z - 1. Give x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*2*(-9)\/(-765)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1067 - 261 - 262 + 9*t**3 - 269 - 269.\nAnswer: 9*t**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5271102 and 5346.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270775 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*p + 2*p - 10, -5*y + 22 = 3*p. Suppose -y*u + 3*a + 0 = -81, 3*u - 114 = -3*a. Calculate the remainder when u is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - 2*u**3 + 2*u**3)*(1 - 1 - 2*u) + (-11*u**2 + 16*u**2 + 2*u**2)*(-4*u**2 - 2*u**2 + u**2).\nAnswer: -31*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*f + 3*f. Suppose b + 13*z - 8*z - 4 = 0, 0 = b + z. Is (-21)\/f + b + 2837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3 - 17\/(-5)). Solve h*r + 2 = 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 441.4806 litres?\nAnswer: 441480.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50514087 not equal to 50514083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216 + 716. Suppose -10215 = -5*t + k. Suppose -5*c + 9554 = -s, -2*c + 1689 = -3*s - t. What is c rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669238 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + l**2 + 3*l - 8. Let y be f(2). Find the common denominator of 11\/4 and (-94)\/180 + y\/(-90).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -57*n - 11. Let f(l) = 35*l + 5. What is 7*f(k) + 4*p(k)?\nAnswer: 17*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 2)*(-4)\/(-2). Let w(b) = -b**3 - 3*b**2 - 6*b + 1. Let a(c) = -c**2 - 1. Let r(y) = -4*a(y) - w(y). Let m be r(-6). Solve -m*x + x = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -32*p**3 - 6*p**2 + 7. Let h(j) = 31*j**3 + 7*j**2 - 8. Let c(n) = -7*b(n) - 6*h(n). What is the first derivative of c(m) wrt m?\nAnswer: 114*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6933*f*h + 895*f + 5 wrt h.\nAnswer: 6933*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p + 34. Give v(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14697, 58863, 132473, 235527, 368025?\n\"Answer: 14722*o**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 2*t + 2. Let s be q(3). Let m = 0 + s. Let u(i) be the second derivative of -i**4\/12 + 7*i**3\/6 - 3*i**2\/2 + 5*i. Calculate u(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*j + 20, -3*i - 2*i + 3*j = -86. Suppose -i*l + 40 = -11*l. Suppose 16*u = 14*u + l. Calculate the remainder when 34 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/722 and -25\/62624.\nAnswer: 1189856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 0 - -2*15\/6. Find the third derivative of 30*t**4 - 28*t**v - 137*t**2 + 60*t**4 + 2*t**3 wrt t.\nAnswer: 1488*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 - -218. Let j = 14 + -10. Solve 0 = j*b - c - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1103045472 divided by 367681824\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/464 and 37\/232.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021079 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/27)\/(4\/(-18)). Suppose 0 = u*l - 9, -4*q + 2*q = 4*l - 94. What are the prime factors of q - (-7 - -3)\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 400435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a = 46*a + 6. Factor 17*o**3 - 77*o**2 + 390*o**2 + 5*o**4 - 183*o**2 + 118*o**a.\nAnswer: 5*o**2*(o + 1)*(o + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {o: 3, h: 11, v: 4}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.59 - -77. Let w = m + -0.01. Which is the second biggest value? (a) -5 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.4, -1\/3, -0.113, 5?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.5 and -77.5?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g - 2*g + 32*g in the form k*g + b and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 360?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3581880?\nAnswer: 2, 3, 5, 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39014569939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r**2 + 15745*r + 47301. What is k(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t**2 - 233194*t + 2563687. Determine p(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -9\/2 (c) 0 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + 6*s**2 + 2*s**2)*(s - 7*s - 29 + 30) as t*s + v*s**3 + n*s**2 + p and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18350 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134931081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141\/17 - 970\/119. Let m(l) be the first derivative of -2\/35*l**5 - 2\/7*l**2 + 2\/7*l + 0*l**3 + 3 + o*l**4. Factor m(q).\nAnswer: -2*(q - 1)**3*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6755.479nm in meters?\nAnswer: 0.000006755479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - (-12 - -36 - 12 - -5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/17)\/(-1 - 0). Suppose 3*w = 5*s - 60, s + 3*w - 4*w - 12 = i. Let g be 8\/20 + s\/(-30). Solve 3*r = -c, g = 3*c + r + r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 7. Let j = -7 + 3. Let r(t) = t - 1. Let f be r(3). Let h(k) = -2 + 5 + 1 - 1 - f*k. Determine j*v(g) + 9*h(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101210202 (base 3) to base 9.\nAnswer: -341722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185012088 to the power of 1\/2, to the nearest integer?\nAnswer: 13602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 = 2*v. Let c = 6 - v. Suppose -2*h = -y + 6, 3*y - c = -2*y - 4*h. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008171 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5\/9)*o)\/o*o*o**(1\/4))\/((o\/(o\/o**28)*o)\/o**16) assuming o is positive.\nAnswer: o**(-443\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a2 - -ef?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12596, 25216, 37836, 50456, 63076?\nAnswer: 75696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4087*o - 16371 + 16371 as h*o + s and give h.\nAnswer: 4087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*w = -9, 0 = -5*r - 2*w - 3*w + 15. Solve 3*h = -b + 11, r*h + 5*b = -h + 27 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15*12\/(-8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 72. List the prime factors of r(-5).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2 + -4*(sqrt(64)\/sqrt(2) + 4*sqrt(32)))*-1)**2.\nAnswer: 1120*sqrt(2) + 12849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4361 centuries?\nAnswer: 0.04361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 11*i - 4*i**2 - 2*i**3 + 10 + 1\/4*i**4. Let o be x(7). Put -5, 10, 0, o in increasing order.\nAnswer: -5, 0, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5882159 + 1482159. What is v rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/77 and 79\/141932.\nAnswer: 1561252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v - 2. Let i(h) = -h**3 - 3*h**2 + 4*h + 2. Let p be i(-4). Let k(s) = s + s + 5*s - 3. Suppose -63*j = -7 + 196. Give j*a(y) + p*k(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30195 and 136125?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2998*p + 1 - 3002*p - 1 + 12027*p - 2998*p - 3033*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 231631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*f**2*h + 73*f**2*u - 750*f**2 + f*u + 2*f - 6059441*h*u + 14*u + 2 wrt h.\nAnswer: -8*f**2 - 6059441*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 1 = -12*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1217, -1214, -1211, -1208, -1205?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11*h = h. Sort 2\/5, -2, -0.028, h in descending order.\nAnswer: 2\/5, h, -0.028, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125143 (base 8) to base 10\nAnswer: 43619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74595 - 152297 + 75048 - 3*g)*(-2*g + 0*g + 4*g) to the form k*g + u*g**2 + h and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 0 + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -639298300 to the nearest one million.\nAnswer: -639000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**3\/3 + u**2 - 3*u + 1. What are the prime factors of t(4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5931?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -279, -285, -301, -333, -387, -469, -585, -741?\n\"Answer: -r**3 + r**2 - 2*r - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.159, 0.3, -0.2 in increasing order.\nAnswer: -0.2, -0.159, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from bbjrjjbrjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 89. Let j = t - -44. Suppose j = c + x, -15 = -0*c - 2*c + 5*x. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b**2 + 9*b + 9. Let s(y) = 5*y**2 + 4*y + 4. Let c = -9 - -71. Let w be 1*16\/24 + 314\/6. Let o = w - c. Determine o*s(p) + 4*x(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 8:49 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let k(q) = 2*q + 2. Suppose 4*r = 2*f - 10, 6*f = -2*r + 8*f - 2. What is r*b(l) + k(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.67078 to 1 decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*q + 6 = 0. Let j be -4*(-1)\/(-3)*-6. Suppose 3 = -4*a + w, -3*w + j = a - 1. Solve -y - 2 = q*s - 7, a = 5*y - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-8))\/(54\/(-72)). Which is the second smallest value? (a) z (b) -5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let u(o) be the third derivative of o**4\/2 - 11*o**3\/6 - 14*o**2. Let h(m) = u(m) - 2*z(m). What is the derivative of h(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 5*z**2 + 4*z + 3. Let m be q(4). Let c = 2 - -1. Suppose 0 = d + d + 3*j, -c*d + 3 = m*j. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99480641 divided by -99480641?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1500 or -33708?\nAnswer: -1500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 - 8*o + 41. Let t be q(-9). Suppose -d + 20 = 2*r - t, 4*r + 16 = 0. Does 57 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2225 divide 60484181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 509010073847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**5 + 77*n**4 + 73*n**2 + 283*n - 9?\nAnswer: -20*n**3 + 924*n**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1153 + 2787. Calculate the remainder when c is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:25 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1040 - 20311?\nAnswer: -14221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 255 + -254.98. Which is the fourth smallest value? (a) -0.4 (b) -2 (c) 1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341057499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.72 + -13. Let k = -5.22 + p. What is k rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + r**2 - 2*r + 4 - 2 + (-9*r + 8*r - 8*r)*(-r - r - r) to p*r + d*r**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 - 30*v + 4. Let z(h) = -3*h**2 + 2*h. Calculate -b(q) - 2*z(q).\nAnswer: -q**2 + 26*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:59 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(8\/(40\/(-15))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Let h(b) = -2*b**3 - 2*b**2 - 2*b - 2. What is the tens digit of h(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127.204844 + 0.4.\nAnswer: 127.604844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295 and 175702?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 11}. What is prob of sequence yy?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 22*x + 5*x - 3 - 2*x + 3 + (2 - 2 - 2)*(4*x + x - 3*x) + 3 + 2*x - 3 - 1 + x + 1)*(101*x + 628 - 628) to k*x**2 + u*x + v and give k.\nAnswer: 2020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 869, 7807, 26649, 63347, 123853, 214119?\n\"Answer: 992*f**3 - 6*f - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 6, i: 2, s: 2}. What is prob of picking 1 k and 2 s?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 - 2*f. Suppose 4 = 4*r - l, 3*r - 12 + 2 = -l. Let z(j) be the second derivative of j**4\/12 - j**3\/2 + 33*j + 7. Give r*z(q) - 3*p(q).\nAnswer: -3*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*j + 28, -40*o - 3*j = -j + 178 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3 + 3*d**2 - 1 - 4 - d - d**3. What is m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b6033 + -4?\nAnswer: -1b6037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = 144. Suppose 3*o - 17 + 77 = -5*b, 5*o + 25 = 0. Let k be (-78)\/(-9) + (-3)\/b. What is the highest common divisor of y and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 69. Let g be p(-8). Suppose -g*h - 3230 = -18*h. List the prime factors of h.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (330\/495)\/(2\/27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4666 divided by -287.\nAnswer: -4666\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7575.1 less than -0.436098?\nAnswer: -7575.536098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6008132929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(128) + (sqrt(128) + -2)**2)*-6.\nAnswer: -774 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-12)*(-4)\/(-2). Let y = 2 - l. Solve -5*u + y + 9 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(-62*b - 18*b**3 + 62*b).\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -9*d**7\/70 + 23*d**3\/6 - 3*d**2. Find the first derivative of b(q) wrt q.\nAnswer: -108*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - 13. Let j(k) = 53062*k - 27 - 7*k**2 - 53062*k. Let p(y) = 10*f(y) - 4*j(y). Let v(l) = -2*l. Give p(v(x)).\nAnswer: -8*x**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 < 419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 - 87. Let s = -4 + t. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -474, -678, -842, -954?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 28*v - 80 = 0. What is the smallest common multiple of 116 and v?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00232547569 to seven decimal places.\nAnswer: -0.0023255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w - 15*w - 6*w.\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*x + 192 + 159. Let r(g) = g**2 + 16*g - 3. Determine r(x).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.74?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6136 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 324 times -0.14\nAnswer: -45.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 20*z**2 + 3. Let n be k(-1). Suppose 22*s - n*s = -8. What is the remainder when 24 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485683870 to the power of 1\/2, to the nearest integer?\nAnswer: 38545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4131420454 - -3?\nAnswer: 4131420501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(190) + sqrt(190))\/sqrt(10) - -2*-2*-2*sqrt(19).\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4464*a + 8. Let l be (4\/(-12))\/(2\/(-24)). Let x(r) = 8927*r + 17. Let z(m) = l*x(m) - 9*i(m). Let k be z(-3). Round k to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-26))\/((-5533)\/(-71929))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.7605483 rounded to 0 decimal places?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*q**2 - 44*q**2 - 6*q**2)*(0*q + 2*q - 6 + 4) to x + c*q + k*q**2 + n*q**3 and give n.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 56*g - 3. Let d(s) = -84*s + 4. Determine -5*d(j) - 7*q(j).\nAnswer: 28*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 + 24*g**2 - 23*g. Give k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/27)\/k)\/k**(-1\/8))\/(k**(-18)\/k*k\/(k**(-8\/7)\/k*k)))**23 assuming k is positive.\nAnswer: k**(587995\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*b - 5 = 0, 4*a + 7 = 5*b + 48 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1206, -2419, -3620, -4803, -5962?\n\"Answer: l**3 - 1220*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 3*z - 4. Let m(j) = -j + 11. Let x be m(4). Let v(n) = -5*n - 2*n**2 + x + 4*n**2 + n**2. Determine -5*c(f) - 3*v(f).\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/11, 0.2, 148\/3 in descending order.\nAnswer: 148\/3, 0.2, 2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506785 is divided by 253375.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 + 3060*d**3 - 777216*d**2 + 64749568*d + 201326592 = 0. What is d?\nAnswer: -3, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76062?\nAnswer: 2, 3, 7, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:50 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 85 - 31 = 0. Suppose 5*q - w - 6 = 0. Let r = q - 7. Solve -z - n + r = 0, -3*z + n = -n - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -5*o**4\/4 - 2*o**3\/3 - 8*o**2 - 2*o + 116. Is k(-3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let t be (3*4\/18)\/((-1)\/(-6)). Which is the closest to -1? (a) t (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 623, 917, 1211?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -67. What is the highest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:46 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2672467119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -0.8. Let k = g - 0.6. Which is the third smallest value? (a) -3 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6004 + -6004.3. Which is the closest to -2\/5? (a) 1 (b) w (c) -111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 56. Let w = -356 + 360. Find l, given that 4\/5*l**q + 0 - 8\/5*l - 16\/5*l**3 + w*l**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/15 - 4*t**2\/15 - 2*t\/5.\nAnswer: 2*t*(t - 3)*(t + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 539*s**4 + 126 wrt s?\nAnswer: 2156*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0191 * 196843\nAnswer: -3759.7013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -35*c + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/375 or 1?\nAnswer: 4\/375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 168757 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -527*l**6\/60 - 2045*l**4\/12 - 3139*l**2 - 1. Find the second derivative of r(q) wrt q.\nAnswer: -6324*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 8.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 14, -5 in decreasing order.\nAnswer: 14, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjl when three letters picked without replacement from lllljlllllljlllllljl.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4173107 is divided by 695504.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/8*1616\/1313?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -64, -6\/5, 6, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2933 + 0.2583. What is the closest to -1\/4 in -0.4, 0.1, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*f + 4*g - 12 = -89*f, 2*g = 2*f + 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 355 + -529. Let c = r - -173.9359. Let s = 0.068 + c. Round s to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(sqrt(1728) + sqrt(1728)*-2) + sqrt(1728) + -2*sqrt(1728)*-2 + -1.\nAnswer: -3 + 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-25))\/(2\/(-5)). Suppose 0*u = -4*q - u - 24, -u = 3*q + 19. Is b > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z. Let c be f(1). Suppose 3*g + 3 - c = 0. What is the third derivative of 0*i**6 - i**6 - i**6 + i**g - 4*i**6 wrt i?\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11500*b*s**5 + 333*b*s**2 + 2808193*b*s + b wrt s?\nAnswer: -230000*b*s**3 + 666*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5570880 and 3840?\nAnswer: 22283520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Suppose 0 = p*f - f + 4. Let d be 0 + (0 - -3) + -4. Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 + -175. Solve 2*s = -4*h - 14, -5*h - t = -4*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2297 + 12.23.\nAnswer: 12.0003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 2346003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l**2*u**3 + l**2 - 40*l*u**3 - 5*u**3 + 7*u**2 + 46 wrt l?\nAnswer: 8*l*u**3 + 2*l - 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -7, -24?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/2)*y**(-4\/7)\/y*y)**(43\/5))**(-32\/7) assuming y is positive.\nAnswer: y**(-8944\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.594 + -4.\nAnswer: 0.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 463517*d - 463517*d - 748*d**2. Let u(j) = 3*j. Calculate u(c(a)).\nAnswer: -2244*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 306141041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.450993 nanograms to micrograms.\nAnswer: 0.007450993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-810) + (-249)\/81?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10383*r = -10337*r + 736 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 13*b**2 - 20*b + 1. Let i be w(11). Let d = -19 + i. Suppose 2*q + 13 = -5*u, -3*q + 0*u = -d*u - 15. Solve 7 - q = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16405 and 32446195?\nAnswer: 551585315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-2)\/(-3 + 7). Let x(k) = -24659*k**2 - 24653*k**2 - 24656*k**2 + 73971*k**2 - 2 + 2*k. Calculate x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2669.302g?\nAnswer: 2.669302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + 7*l + 220. What is q(-11)?\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 2:09 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/(-28))\/(-5))\/(56\/49)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 15 + 47 + 2*l**3 + 103.\nAnswer: 2*l**3 + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*p*p*p**(-1\/7)*p*p*p)\/p)*p**7)**6)**(-2))**18 assuming p is positive.\nAnswer: p**(-4752\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11021020220010 (base 3) to base 9\nAnswer: -4236803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k**2 - 4117*k + 28660. Determine b(7).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-120)*(-96)\/(-936).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*o - 5522, 1101 = 13*k - 12*k + 3*o. Is k a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.75 + -0.25. Let l = q - -9. Which is the second biggest value? (a) -1 (b) 1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/49 + (-60)\/21 + 512 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbgvgviivgggcc. Give prob of sequence bggc.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/49 and -53\/532448.\nAnswer: 3727136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 27*v - 39. Let a(u) = 14*u - 21. What is 11*a(n) - 6*d(n)?\nAnswer: -8*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 11*h - 5*h - 2*h - 3*h**2 - 5*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*s = -78*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let z(u) be the third derivative of -1\/30*u**5 + 0*u**4 + 0*u**3 + 6*u**2 + 0*u + 0. What is z(y(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -650 divided by -2?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(6\/((-24)\/(-1)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**2 + 8*k - 8. Calculate f(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/9)\/(4\/(-78)) is divided by 5\/1 + 0\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28561 is divided by 3112.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/((-12)\/9))\/((-9)\/42). Suppose 10*l - 3*z = w*l - 110, 3*l - 5*z = 68. Calculate the remainder when 94 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-4)\/504*7*-105?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -14616?\nAnswer: -14607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-160)\/(-9) + (-4)\/(-18). Suppose -18 = -3*l + b. Let s be (-8)\/5*(l + -7). Are s and -8 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12053)\/(-2) + 1)*((-6580)\/175 - -38) is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 0*b**2 - 3*b**2 + (-2 + 1 - 1)*(2*b**2 + 2*b - 2*b) - 3*b**2 - 10*b + 10*b + (318 + 36*b - 318)*(-b - 3*b + 2*b).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.69361296 rounded to 1 decimal place?\nAnswer: -103.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 5*r - 12. Let j(m) = m**2 - 1. Let a(t) = 2*j(t) - y(t). Let l be a(-7). Let k = 9 + -4. Put l, k, 1 in decreasing order.\nAnswer: k, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -91*n**3 + 6*n**2 - 9*n - 2. Let q be v(2). Let z = -514 - q. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 22\/3. Let f = -719 - -718.6. Which is the nearest to v? (a) f (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 25*o - 833. Let x(p) = -12*p + 395. Let r(y) = -6*q(y) - 13*x(y). What is r(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22757*l**3 + 4*l**2 - 4*l**2 - 22748*l**3 + 45484*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (331\/(-1986)*(-1)\/(-11))\/((-1)\/6)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 172997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -13189.\nAnswer: 90\/13189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l + 620. Is s(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 2220400.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 16, o: 2}. Give prob of sequence fo.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (81 - (0 + 100)) + -1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let d(y) = 6*y**2 + y**3 - v*y + 7*y - y + 1. Suppose -3*j + 7 = 22. Determine d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 23*g**2 - 128*g - 31. Determine y(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 3*x - x + 2*x)*(4*x - 15*x - 4*x).\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -9 + 49. Suppose -5*m - 88 = -o + 21, -m + s*o - 41 = 0. Which is greater: -22 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - c + 26 = c, -3 = 3*x - 5*c. Let v = 91 + -89. Suppose -x*y + v*y = -6*y. Solve y*t + 3*w = 5*t + 4, -10 = 4*t + w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 64 = -18*a - 4*a + 5*t, -24*t + 22*t = -9*a - 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 3. Let y(i) = -2*i**2 + i - 4. Let r(u) = u**2 - u + 3. Let o(l) = -3*r(l) - 2*y(l). Determine k(t) + 3*o(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 488436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 52316852 = -7*u + 71423134, 5*p + 309350008 = -4*u. Round p to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, d: 1, h: 1, y: 1, x: 6}. Give prob of picking 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-18)\/((-93150)\/1081))\/(28\/6) and 107\/20.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(-12 - (-3 + 1)). Suppose 213 = -f - r*c + 798, -2*f + 1114 = -4*c. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110001010 + -101?\nAnswer: 111110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 74*z + 209. Give d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*j - j - 2, 4*g = -j + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(2 - 4)\/(-13 + 1 - -16). Solve a = 4*p + s + 8 + 3, p + 2*s = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1. Let a(b) be the second derivative of -3\/2*b**2 + 1\/6*b**3 + 0 - b. Give -a(i) - 5*x(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a decade in months?\nAnswer: 2130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/12 and -127\/486.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 138, 204, 268?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74587346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174200 and 1593930.\nAnswer: 31878600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 3*w + 0 + 0 + w + (-1 - w + 1)*(-5 + 1 + 2) + 2*w - 3*w - w - w + 2*w + 0*w)*(1 + 2 - 2).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 4. Let n be m(3). Let o = -3 - n. What is the remainder when 46 is divided by 118\/5 - 2\/o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9353064 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4)\/s)\/s)**(-2\/87))**24 assuming s is positive.\nAnswer: s**(96\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + n - 19 = 0, -8 - 7 = 3*n. Suppose j = -0*j - v. Is -8 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283654*z**5 - 38220*z**2 + 2*z + 1 wrt z.\nAnswer: 17019240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/34 and (-152)\/(-272)*-2 + (-3 - -2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, -1251, 11, 5 in ascending order.\nAnswer: -1251, -18, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6 = 21, -4*g - 2*t + 6 = 0. Suppose -r = 2*d - 55844, -5*d + 139625 = -5*r - g*r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*z + 64*z + 71*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m - 9. Suppose y + 21 = m*y. Solve -4*f = -y - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k + 85 - 84 + 26*k - 69*k to n + b*k and give b.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9820396 by -2942.\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-616)\/16)\/(1\/(-4)). Calculate the highest common divisor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20782266?\nAnswer: 2, 3, 919, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 5, h: 2, v: 6}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 41*d**2 + 26*d + 5. Let r(i) = -i**2 + i - 1. Let m(x) = -f(x) - 5*r(x). What is the second derivative of m(j) wrt j?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208118950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -11. Let u = 11 - 3. Let o(q) = 6*q**3 - 8*q - 8. Let g(n) = -4*n**3 + 5*n + 5. What is u*g(c) + v*o(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 times 1.1?\nAnswer: 145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 8) + -2 + -15 + 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 1677*x - 8334. What is the remainder when 1844 is divided by g(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**2 + 17*k**2 - 14*k**2 + k**2 as r + h*k**2 + d*k and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 683*q**3 + 106*q - 3?\nAnswer: 4098*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36198 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6533562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 - 8*t. Let o be s(5). Let g = 18 + o. Find the second derivative of m**3 - 6*m + 23*m - 6*m**g + m wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 7, -2.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 22034*w + 21412. Let k(g) = 7342*g + 7139. Let p(z) = 4*b(z) - 13*k(z). What is the derivative of p(u) wrt u?\nAnswer: -7310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2956 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s. Let o(f) = 4*f**4 + 4*f**3 + 4*f - 11. Let x(k) = o(k) + 4*z(k). Differentiate x(j) with respect to j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 51777424?\nAnswer: -51777424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:07 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2766.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -965458*q**4 + 2*q**3 + 6*q**2 + 156555.\nAnswer: -23170992*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 6*b\/13 + 8\/13.\nAnswer: -2*(b - 1)*(b + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, -5, 65, 15, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101 + 1331?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-325)\/(-35). Let r(h) = 2*h**2 + 3*h + 22. Is r(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1926 or -74?\nAnswer: -1926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 52*h**2 - 47*h + 12. What is the tens digit of s(-53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - w = -5*w + 15, 0 = 3*w. Let f = j + -9. Let d be (4 - 7) + (0 - f). Sort -7, 0, d.\nAnswer: -7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g**2 + 4*g**2 - 11*g**2)*(2 + 3 - 6) to the form c + r*g**2 + k*g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/6 - p**2\/2 - p + 4\/3 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 38*w**2 + 21*w - 31. Let c(m) = 64*m**2 + 36*m - 52. Determine 12*a(p) - 7*c(p).\nAnswer: 8*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 - 111110100001?\nAnswer: -111110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -68 - 311 - 40*h - 22*h + 1. Let q be o(-6). Let s(v) = -v**3 - 6*v**2 - 2*v + 4. Calculate s(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35441837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-11)*o*o\/(o\/(o**(-2\/7)*o*o)*o)*o**(-27)\/o*o**38\/o assuming o is positive.\nAnswer: o**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 59*t + 449 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 38 + 13 = 5*p, -3*t - 13 = 4*p. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 5, i: 1, p: 1, f: 3, l: 1}. What is prob of picking 2 f and 1 v?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 + 3580*b**4 + 7195*b**3 - 10750*b**2 - 14380*b + 14360 = 0.\nAnswer: -2, 1, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223838 is divided by 1066?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**6 assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5579 - -5579.5269. Let u = 0.603 - w. What is u rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 146*k - 643 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h + 2*h)*((h + 1 - 1)*(-h**2 + 8*h**2 - 8*h**2) - 5*h**3 + 4*h**3 - h**3 + 0*h**3 + 3*h**3 - 5*h**3).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157844519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**6\/c*c)*c**3)**(-2\/3) assuming c is positive.\nAnswer: c**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 1. Let m(u) = -2*u**3 - 2*u**2 + 4*u + 29. Let n = 50 - 48. Let x(g) = n*a(g) - m(g). Find the second derivative of x(o) wrt o.\nAnswer: 12*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/849 and 55\/189.\nAnswer: 53487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*t**3 - 14986*t - 1342353?\nAnswer: 90*t**2 - 14986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 5*j + 2. Let y be m(3). Let x be 15\/(-540)*-45*4. Find the second derivative of 5*r**x + 0*r**y + 4*r - 9*r wrt r.\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + f = -4, -2*r + 28 = -0*r + 5*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 1, w: 2, u: 1, c: 2, y: 1}. Give prob of picking 2 c, 1 u, and 1 k.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*(0 + sqrt(450) + sqrt(450) + 0 + sqrt(450) + 4 + 1 + sqrt(450)))**2 + (0 + sqrt(450)*-1)**2 + 2*(sqrt(450) + 0)).\nAnswer: 19260*sqrt(2) + 232100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -501 - g**3 - 21*g**2 + 501 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2960 and 450475.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 9*m + 17. Let f(p) = -4*p**2 - 18*p + 35. Let h be ((4 - 3) + -5)\/(-2). Let r(b) = h*f(b) - 5*w(b). Is r(-9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 2, n: 5}. Give prob of picking 3 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4234 (base 6) in base 12?\nAnswer: -67a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3413788, 6827573, 10241358?\nAnswer: 13655143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -4*g, -21*q = -16*q + 3*g - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**5\/35 - j**4\/14 + 10*j**3\/21 - 3*j**2\/7 + 7. Determine m, given that y(m) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/120 and 199\/420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 3*r**2 - 6*r + 4. Determine l(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36, 3, 6?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 4. Suppose -o = c + 2*p - 12, 4*c - 32 = -5*p. Suppose -c*h + 282 = -h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/3)\/(p**7\/p)*(p\/p**(-4\/9)*p)\/p**(-2))**(2\/41))**(10\/3) assuming p is positive.\nAnswer: p**(-40\/1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2\/7 - 1863471*z\/7 = 0 for z.\nAnswer: -621157, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.57251 kilometers to centimeters.\nAnswer: 357251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101b9 (base 12) in base 15?\nAnswer: 54e53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h. Let v(c) = -110*c**2 + 4*c - 4*c + 96*c**2. Calculate v(r(a)).\nAnswer: -350*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*j + 3*k + 3, -2 = 2*k. Let t be 1 + -1 - (j + (-25 - 1)). Suppose 0 = t*c - 22*c - 6. Calculate the highest common factor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mflp when four letters picked without replacement from {w: 7, l: 5, j: 1, p: 2, f: 1, m: 1}?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 6*n**3 + 0*n**3 - 2*n - n**3 - 1 + 1 + (-3 + 3 + 4*n)*(5*n**2 - 13 + 13) + 2*n**2 + 2*n**3 - 2*n**2.\nAnswer: 30*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(-2) + 6)\/(((-52)\/(-568))\/(-13)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -184. Let t = v + -243\/2. Factor -1\/4*q**4 + 1\/4*q**2 + t*q**3 + 0 - 1\/2*q.\nAnswer: -q*(q - 2)*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 13*f**2 + f + 13. Let x be c(13). Solve -5*p + 0*p = -5*k + 30, -5*k + 3*p + x = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, d: 1, r: 4, y: 2}. What is prob of sequence ruuy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) - (2 + (-5)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-19)\/(k*k*(k\/((k**32\/k)\/k))\/k))**(11\/7))**12 assuming k is positive.\nAnswer: k**(1188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 64 = -2*y. Let o be (-1191)\/(-15) - (-6)\/10. Calculate the highest common factor of o and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1329 - -0.0481. Let g = 0.212 - n. What is g rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 36*w + 15 - 7 to h*w + d and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbftzaz. Give prob of sequence tbaf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 43*f - 3. Suppose -18*x + 12 = -12*x. Calculate the remainder when d(x) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 21*p**2 - 13*p - 10. What is the hundreds digit of u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**5 + 12645*b**4 - 50645*b**3 + 38015*b**2 + 50640*b - 50660 = 0.\nAnswer: -2533, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 931 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241.9855 + -0.0145. Let s = 242.000077 + g. What is s rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - 8*c**2 - 6*c + 4. What is f(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 28*s + 170. Calculate b(-6).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_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 v(x) = -2*x + 19. Let z(n) = -3*n + 38. Let r(j) = 5*v(j) - 3*z(j). Let d be r(-18). Let w = 12 + d. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1358794 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -16.1 (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4065)\/435 + (-1560)\/(-4524)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 - -132. Suppose d = v + 2 + 1, -4*o - 2*v = -2158. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 16. Let b = m - 7. Suppose 4*t + b*x = t + 14699990, 5*t = -x + 24499998. What is t rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 336145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*o**5 - o**5 + 2*o - 3*o wrt o.\nAnswer: -260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16582 - -198983\/12. Let k(i) = i**3 - 4*i**2 - 5*i - 1. Let z be k(5). Is z at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/28 and 12\/(-960)*46\/4?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + ((-40)\/(-5) - 5). Let f(d) be the first derivative of d**4\/4 - 4*d**3\/3 + 2*d + 2. Give f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 10:12 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200, -296, -464, -710, -1040?\n\"Answer: -f**3 - 30*f**2 + f - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21458191661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabaajsj. What is prob of sequence sb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.6 - -39. What is the third smallest value in q, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11589*u**3 + 11585*u**3 + 1 - 23216*u**3.\nAnswer: -42*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(21345*t + 126*t**2 - 21345*t) + 0*t**2 - t**2 + 0*t**2 + (-6*t + 2*t + 3*t)*(0*t - t + 2*t).\nAnswer: -380*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3177.\nAnswer: -1\/1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1898*l**2. Let q(c) = -16*c. Calculate h(q(n)).\nAnswer: 485888*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -46763214.\nAnswer: 46763213.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3197 is divided by 1012.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-2))\/(-36 - -30)*28 - 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(252)*1 + sqrt(28))\/((-2*sqrt(32) + sqrt(32))\/sqrt(8))*-2.\nAnswer: -5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y*y**(2\/11)))\/(y**(-1\/3)\/y))\/((y\/(y\/(y*y**0)))\/y)**(2\/13) assuming y is positive.\nAnswer: y**(38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*2*-1 + sqrt(5) - (-1 + sqrt(320)).\nAnswer: -9*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4)*(-23*j**2 - 36*j + 36*j)*(-33 + 38 - j + 9*j) in the form o*j**3 + z*j**2 + u*j + q and give z.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {g: 1, s: 2, j: 3, n: 1, i: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 7 - 2. Let d(g) = 6*g - 44. Let z be d(6). Sort 3, -2, h, z in increasing order.\nAnswer: z, -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 + -136.46. Let p = -0.24 + n. Let f = -4.3 + p. What is the closest to 8 in f, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2495855?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*h - 516 = -368*h. Let a(y) = -y**2 + 13*y - 13. Determine a(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 161429 and -0.6.\nAnswer: -96857.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5068326 is divided by 33563.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 3*h**2 + h**2)*(6*h**2 - 2*h**2 - 3*h**2) + 18*h - 18*h - 7*h**4 - 80*h**4 - 52*h**4 + 76*h**4.\nAnswer: -61*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418 equal to 4417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 19}. What is prob of picking 1 j and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 9. Let s be f(-2). Which is the nearest to -1? (a) 1\/2 (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/17))\/k**(-10))\/(k*k**8*k)**(4\/5))**37 assuming k is positive.\nAnswer: k**(1850\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 45*b + 354. Let c be o(50). Suppose 0 = 2*z + 3*n - 231, -5*z + 581 = 5*n - n. Calculate the highest common divisor of c and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 43*u**3\/3 + u**2\/2 - 613*u + 237. Differentiate x(g) with respect to g.\nAnswer: 86*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -968748, -968778, -968808, -968838?\n\"Answer: -30*g - 968718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10)*70\/(-4 - -5). Let w(k) = k**2 + 26*k - 6. What is the smallest common multiple of w(c) and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(2 - (-6 - 20\/(-5))). Suppose x = -9*b + 22 + 23. Solve b*y = 5*p - 35, -10 = 2*p + 4*y - 0*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/77941 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48548990 a multiple of 8018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0577208359 + -16?\nAnswer: -16.0577208359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 + -82. Suppose -n - 102 = -4*z. Calculate the remainder when z is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -72. Let p = 34 + -33.92. What is the third biggest value in -0.2, p, y, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105 + 105 - 19*q)*(121 - 121 + 8*q) + 3 + 2*q**2 - 3 to g + k*q + s*q**2 and give s.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2601 is divided by 77.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 694822771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 5*r**3\/3 + 2*r**2\/3 + 8*r\/3.\nAnswer: r*(r - 4)*(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f + 2970. Let w(n) = 2*n - 16. Give -d(m) + 5*w(m).\nAnswer: m - 3050","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**4 - 39*k**3 - 2*k + 9*k**3 - 1 - 4*k**4 + 28*k**3 - 2 to x*k**4 + l*k + u*k**2 + i + b*k**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22743341513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 1*(-3 + 2)*-57. Let w be 6\/12*(0 - 1)*y. Let q = w - 31. Put q, 3\/7, 1 in decreasing order.\nAnswer: 1, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114874 rounded to the nearest one hundred?\nAnswer: 114900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2064, 3\/4, 2, 0.5 in descending order.\nAnswer: 2064, 2, 3\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13620 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 13. Calculate the highest common divisor of 54 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 23*a**3\/6 + a + 39. Let d(k) = -4*k**2. What is z(d(i))?\nAnswer: -92*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2897 - -2899. What is the second smallest value in 2\/31, v, -3, 4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021371373 rounded to four dps?\nAnswer: 0.0214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7 = -23. Let v = 232\/9 + -3007\/117. Which is the closest to v? (a) -0.2 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/12 + (-2)\/(-8). Let f(k) = k**2 + 6*k + 7. Let w be f(-5). Which is the second smallest value? (a) w (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000195069214 to 7 dps.\nAnswer: -0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3448 - -3507.67. Round y to the nearest integer.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1038*s - 1737*s - 42859 = 7091 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051154 rounded to 6 decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -49 (b) 1 (c) -4\/7 (d) -0.02 (e) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001181624 to seven dps.\nAnswer: -0.0001182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 65*k - 25. Suppose -5*l - 3*x + 73 + 39 = 0, 5*x + 5 = 0. Let y be i(l). Which is smaller: y or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3065*u**3 - 3268*u**3 - 52*u - 24*u.\nAnswer: -203*u**3 - 76*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 0*c**2 - 5*c**2)*(12*c**3 - 7*c**3 - 7*c**3 + 5).\nAnswer: 4*c**5 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100656 and 792?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/30 + c**4\/8 + 4*c**3\/3 - 51250*c**2 - 2*c. Let m = -4 - -2. Give w(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12925.145 or 0.1?\nAnswer: 12925.145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 30*a + 360 = 0. What is a?\nAnswer: -12, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6656*y - 1449. What are the prime factors of a(-3)?\nAnswer: 3, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 3619512.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 71 = -37. Suppose -5*q + 7 = 27. Is 4 + l + q + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 12*d**2 - 9*d - 2. Let q be s(11). Suppose -16*l = -q*l + 20. Suppose 7*r = l*r + 2. Are r and 7\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**2 - 700*f + 4. Let h(r) = -5*r + 14. What is x(h(o))?\nAnswer: 250*o**2 + 2100*o - 7836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/7 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-10) - 6 - 1)\/(-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2817*i**3 + 18871*i - 18871*i.\nAnswer: -2817*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t + 10. Let u be z(5). What is the smallest value in -0.5, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4781 - 1676. List the prime factors of u.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, z: 1, s: 2, u: 1, e: 3}. Give prob of sequence eezs.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d - 4 = 0. Let c be d\/(2\/(-2))*3. Let h(n) = -n**3 + 4*n**2 - n + 3. Calculate the smallest common multiple of 8 and h(c).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10320031324 (base 5) to base 15\nAnswer: e929c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Is (-4)\/20 - (-116)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373494.\nAnswer: 2, 3, 11, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k + 306. Let n be w(-38). What is the tens digit of 401 + n + (-11 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)\/v**4)\/v**(-5\/6))\/(v**(9\/8))**(1\/31) assuming v is positive.\nAnswer: v**(-877\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 35. Let j be (-1)\/2*2*-1. Put -4, l, j in ascending order.\nAnswer: -4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -62629279*y. Let n(q) = 2*q**2. Give n(k(l)).\nAnswer: 7844853176119682*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 4*y**2 + 5*y + 3. Give u(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*s**5 + 7012*s**4 + 40400*s**3 + 45500*s**2 + 13312*s + 1088 = 0 for s.\nAnswer: -4, -1, -1\/4, -1\/7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -123, -199, -281, -369, -463, -563?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, 1203, 5069, 11099, 19293?\nAnswer: 29651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 283 or 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73781 is divided by 1249?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 g, and 1 f when four letters picked without replacement from gqxxxxqfgqqixf.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + d - 29 = 0, -2*n - 3*d + 32 = 2*n. Suppose -4*i = i - n. Solve w = -1 - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 560 + -252. Let x = n - 143. Let u = 254 - x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445276 = 106*j - 5850700. List the prime factors of j.\nAnswer: 2, 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11830 + -17487. Put -0.4, 5, j in ascending order.\nAnswer: j, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 343*k**3\/4 + 14*k**2 - 3*k.\nAnswer: k*(7*k + 2)*(49*k - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/29 and 2\/(-16) - (-268)\/32.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s + 28 - 3*s - 3*s**4 + 2*s**2 + 14*s - 4*s**2 + 12*s**4 to the form p + w*s**4 + f*s**3 + g*s + m*s**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414*w**2 + 877 + 887 - 2646 - 3970*w + 882 - 3*w**4 wrt w?\nAnswer: -36*w**2 - 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 - 6*j + 1. Let p be q(5). Let r be -8*5\/10 - p. Suppose -412 = -2*d + 4*v, -4*d - v - 3*v + 788 = r. Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**4 + 3837*k - 13594.\nAnswer: -8*k**3 + 3837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m\/m**(1\/56))\/m)\/m*m)\/(m*m**(2\/61)) assuming m is positive.\nAnswer: m**(-173\/3416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(220\/(-33)))\/(((-6)\/490)\/(6\/(-21)))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112046 is divided by 37282.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 7, -0.5, -10, -0.4 in decreasing order.\nAnswer: 127, 7, -0.4, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.011 - 0.659. Let n = -2054758.5 + 2054761.1699738. Let z = n + g. What is z rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 39092 = 34478. Round x to the nearest 100.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*b + 4*c, -9*c = 5*b - 8*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113103073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(11020\/(-17400)).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 4*n + 12 = 0, -3*n = -5*c + 16. Let z = c - 22. What are the prime factors of (-66)\/(-10) - 8\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 1. Let i be f(6). Let r = 0 + i. Let v(h) = h**2 - 5*h - 6. Determine v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 2\/5, 15, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -10. Suppose -2*b + 23 = -z*a - 23, -4*b - 4*a + 72 = 0. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 + 722 = -49*r - 663 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10200 + -41?\nAnswer: 10115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/10 - (6\/5)\/6. What is the closest to 10 in h, -2\/7, 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n + 4*t + 35, 5*n + 10 = -5*t. Suppose 24 = 5*p - p. Suppose n*a = a + p. Solve -2*v = -4*u - 18, 0*v + 2*v - a*u - 13 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -h - 22, -2*h + 52 = -6*h - 3*f. Is h greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1546*h*s**2*v**2 + 26*h*s**2*v - 4*h*s*v**2 + 10*h*v**2 - 3*s*v - 13*s wrt s.\nAnswer: 3092*h*v**2 + 52*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/35038080 and 81\/495488.\nAnswer: 245266560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -32. Suppose 2*m = -4*h + 1414, -j*m - h = -7*m + 2828. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7*w + 4*h + 16, -5*w - 4*h - 16 = 0. Sort w, 1, -29.\nAnswer: -29, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -4, -5, -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2. Let a = -2 - -3. Let y(i) = 9*i**2 + 1. Give a*y(z) + 5*t(z).\nAnswer: 4*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/3 - 11*o**3\/3 - 5*o**2 + 9*o = 0.\nAnswer: -9, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2821 + 2821.1. Suppose -31 = p - 5*n, -p + 14 = -0*p + 4*n. Let m be (12\/10)\/(p\/(-8)). What is the closest to h in 0.3, m, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/2? (a) 0.061 (b) -2.7 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = z + 166, 0 = z - 6*p + 9*p + 163. Let i = z - -157. Solve -q + 1 + i = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*w - 8, -12*k + 15*k = -5*w + 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 3600*i - i**2 - 3609*i + 7211*i. Let w(a) = -a. Give -2*w(g) - x(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 791089591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -237 and -0.1.\nAnswer: 23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbmmvvdmlmb. What is prob of sequence vlv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:31 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 187 - -134) + 66\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -153953092?\nAnswer: -153953080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -920*c**4 + 2*c**3 - 33*c**2 - 2*c - 1028243 with respect to c.\nAnswer: -3680*c**3 + 6*c**2 - 66*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5164, -1, -0.07 in decreasing order.\nAnswer: -0.07, -1, -5164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 106414 = 6*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245 and 50?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 2:19 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 14*w - 13*w - 6*w)*(1 - 1 + 2*w) as o + l*w**2 + j*w and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t + 572 = 1182 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/17)*n**(6\/5) assuming n is positive.\nAnswer: n**(92\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9408 and 2058?\nAnswer: 65856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 0\/(-1 - -3). Let g be 6\/(-3*i\/6). Let j = g - -23. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2 + -1 + 0. Suppose 2*a - 51 = 3*c, 5*a = 3*c - 0*c + 114. Suppose -8 = 5*b - b - 3*z, i = -b - 4*z - a. Let f(j) = -3*j - 3. Calculate f(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 2, h: 4, t: 1, e: 1}. What is prob of picking 1 e and 1 h?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, b: 9, f: 1, j: 2}. Give prob of picking 1 j and 3 c.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**5 + 9*n**4 + 5*n**3 + 11*n**2 + 6*n - 8. Let r(g) = 4*g**5 - 10*g**4 - 4*g**3 - 12*g**2 - 7*g + 10. Let w(y) = -5*i(y) - 4*r(y). Factor w(c).\nAnswer: -c*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23928\/6*2\/10676 - 1. Let d = w - -3\/17. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67970820 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.513988l in millilitres?\nAnswer: 513.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + (-26)\/4 - 5451\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/23 - 22*n\/23 + 60\/23 = 0. Calculate n.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Suppose -3*t = 354 - 387. Let l(s) = 52*s + 764 - t*s - 764. What is a(l(f))?\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41160 + -42732. Put 5, d, -4 in decreasing order.\nAnswer: 5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -12*h**4 - 17559*h**3 + 512136*h**2 - 3883404*h + 2631888 = 0.\nAnswer: -1492, 3\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014199260899 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 10, f: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*i**3 + 56505*i**2 + 265884*i - 80580.\nAnswer: 3*(i + 5)*(i + 2686)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*o**2 - 16*o + 45*o**2 + 28*o**2 - 124*o**2.\nAnswer: 146*o**2 - 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -3*b**5\/20 - 7*b**4\/4 - 2*b**3 + 18*b**2 + 3*b + 2. What is x in k(x) = 0?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -57*t - 20. Let m(z) = -z + 1. Let v(d) = -a(d) - 5*m(d). Find the first derivative of v(c) wrt c.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-3)*(-30)\/(-20). Let s = 11 + -10.5. What is the nearest to -1 in o, -3\/2, s?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-25) + 46\/(-10). Let u = q + 5. Is (1 - u)\/(4\/16) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 4*j, 2*j + 2 = 3*g - 3. Suppose -3*o + 10 = v - 70, 4*o = -5*v + 103. Solve -5*h + j - o = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.4 - -14.5. Let j = f - -20.6. Let v = -11.69999892 + j. What is v rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4277 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktkkttt. What is prob of picking 2 k and 1 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + -1 + sqrt(2736) + 0.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4497 + 2.1497. Let n = -6 - -6. What is the third smallest value in n, -8, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 3003?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**3\/6 + 13*o**2\/2 + 13*o. Let s be i(7). Suppose 0 = 3*c + 3*d - 177, 4*d + 106 = 2*c - s. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 8 - 18)*(-2 + 2*o + 2)*(-2*o**3 + 2*o - 2*o**4 + 2*o**3).\nAnswer: 76*o**5 - 76*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 193000742?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {v: 1, l: 1, z: 3, b: 2, g: 1, o: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen fifteenths of a hour?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 12. Let u be d(-6). Let k(w) = 3*w - 1. Let l be k(u). Let b = l - -21. Let c(s) = s**3 - s**2 - 3*s + 2. Calculate c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254627873 a multiple of 2936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3 - 3*j - j**2 - j**3 - 4*j + 4*j. Let w be f(-2). Calculate the least common multiple of w + 5\/(20\/8) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -270, -3407, -9414, -18291, -30038, -44655?\n\"Answer: -1435*u**2 + 1168*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 612*y = -611*y - 13, -o = 22*y + 47 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 + 21 + 82)*(4*u - 4*u + u**3)*(-u + 2*u - 2*u) as i*u**2 + d*u + x*u**3 + q + b*u**4 and give b.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 less than 27241?\nAnswer: 27373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(210)\/(-6*sqrt(7)))\/sqrt(10).\nAnswer: -1 - sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114066, 230096, 346126, 462156, 578186, 694216?\nAnswer: 810246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10419 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*c + 10 = 3*j, 5*c = 4*j - 3. Let f(z) = 12*z + 1. Let i be f(j). Suppose 2*g = i - 1. What is the remainder when 23 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 2. Let v(s) = -3*s - 2. Let c(x) = -3*v(x) - 4*w(x). Let d be c(4). What is the biggest value in 3, d, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/2, 2\/665?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/21891?\nAnswer: -14\/21891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 573143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*j + 72 = -206*j. Sort j, 2, 109 in descending order.\nAnswer: 109, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/(2\/20). Suppose -m = 3*s + 4*z + 56, 4*s + z + 80 = 0. Let w(d) = -d**2 + 4*d + 11. Let y be w(-4). Is s smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*-1*(2 - 3). Put 2\/13, 2, c in ascending order.\nAnswer: c, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44169 = -3*k - 2*i + 176717, 3*i = -2*k + 88377. What is the ten thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606479891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -0.2. Let i = m + -2. Let h = -0.2 - i. Is h equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 n when four letters picked without replacement from iniininiiniiiiin.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13\/(-26) - 1*(-3819)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 5:02 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 3*b - 4. Let k(f) = -2*f**2 - 6*f + 9. Give 6*k(p) + 14*l(p).\nAnswer: 2*p**2 + 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z**2 + 823*z**3 - 32*z**2 - 542*z**3.\nAnswer: 281*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w**2 + 6*w**2 + 11*w**3)*(-2*w + 0 + 0) to the form n*w**2 + u*w**4 + j*w + t + f*w**3 and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 16*z - 8. Let i be x(15). Is i at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 6*j - j - 40, 0 = 2*j - 2. Let s(w) = -4*w**2 + 28*w + 7. Let p be s(a). Solve -12 = -i + p*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1003*d**2 - 79*d**2 + 104*d**2 + 1395*d**2 + 1968*d**2 to the form x*d + g*d**2 + i and give g.\nAnswer: 4391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 178 + 5. Let b = m + 42. Let j = -9 - b. What is the greatest common factor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86190.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 2, j: 15, r: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 0.096 (c) 3\/4 (d) 3 (e) -2 (f) 14\/129\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1356 and 2264181?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*j**2*r - 3*g**3*j*r + 6*g**3 - g**2*r - 2*g**2 - g*j**2*r - 10*j**2 wrt g.\nAnswer: -6*j**2*r - 18*j*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 171, 765, 2185, 4773, 8871, 14821?\n\"Answer: 57*j**3 + 71*j**2 - 18*j + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 779329813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 129571050 divided by 4319035\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u - 17 = -17. Which is bigger: u or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859468 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.8 + -9.67. Let u = -0.66 + z. Let j = -2.53 - u. What is the closest to -0.4 in 8, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 428*r - 9 = 423*r, 3*q - 5*r = -17. Let z(s) = -s**2 + 4*s - 2. Give z(q).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l. Let x(d) = 2*d. Let n(z) = -4*q(z) + 11*x(z). Let i(f) = f + f**2 - f. Determine i(n(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3864 + -4143453.\nAnswer: -4139589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 3030237?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwryywwrwywwwww. Give prob of sequence wrw.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l, 15*z - 13*z - 3*l - 610 = 0. What is the lowest common multiple of 1036 and z?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118896 divided by -4.\nAnswer: -29724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -184 and -110734.\nAnswer: 20375056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 4*u**3\/3 - u**2 - 5483*u. Let y be (-1)\/(-4) - (-23)\/4. Let m(l) = -23*l + 6 - 4 + 4. Calculate y*m(f) + 17*v(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 168, -2 in decreasing order.\nAnswer: 168, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + v + 1. Let z(x) = 2*x**3 + 4*x + 4. Suppose 6*d - 2*d = 5*h, -3*h + 5*d = 13. Determine h*k(g) - z(g).\nAnswer: -2*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l**(-2\/37))\/l*l*l**(-3\/35)*(l**(-4\/7))**(25\/4) assuming l is positive.\nAnswer: l**(-2216\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(80)*-2 - sqrt(80))\/(sqrt(324)*3*-4 + sqrt(324)))**2.\nAnswer: 20\/9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 659?\nAnswer: -395.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*l + 151*s = 146*s - 2860, 0 = -l + s - 22 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-14)\/z)\/z*z)\/(z*z\/(z**(-2\/15)\/z)) assuming z is positive.\nAnswer: z**(-272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bunllull. What is prob of sequence uul?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d + 3. Let t be c(4). Let u = 57 + t. What is the highest common divisor of 48 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 507 = g, 21*g = 17*g - 2*f - 2028. What is the common denominator of -1 - 10\/(-6) - g\/(-324) and -97\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -50. Let f be (-2 + 2)\/(o - -3). Suppose f*y + 0 - 2\/3*y**3 + 4\/3*y**4 - 2\/3*y**5 + 0*y**2 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, c: 9, l: 3}. What is prob of picking 1 c, 1 k, and 2 l?\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2)*(18*l + 5*l - 5*l)*(-37 + 19 + 8).\nAnswer: -720*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**24*n*n**25*(n*(n\/((n**16*n)\/n)*n)\/n)\/((n\/(n*(n*(n\/(n*n**(-1\/12)*n)*n)\/n)\/n*n))\/n))**(2\/37) assuming n is positive.\nAnswer: n**(-119\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-5))\/((-2)\/4). Suppose 4*i = -6*h + 3*h + 40, -2*h - n*i = -32. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2794 - 22397\/8. What is the common denominator of u and 187\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951867?\nAnswer: 3, 7, 29, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8.2. Let w = -360 - -6122\/17. Which is the smallest value? (a) -0.4 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*m - 3 + 2 + 1 + 1.\nAnswer: -360*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from wzkkkoolclok.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 2*u**2 + 2. Let v be ((-35)\/10 - -2)\/((-1)\/2). Let f be (-5)\/(-1*15)*v. Suppose 5*g - 4 = 6. Let k(z) = -z**2 - 1. Give f*d(i) + g*k(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -2465 and -2.8.\nAnswer: -2467.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 4. Let t be q(-4). Suppose 2*p = -7*i + 2*i + 15, 0 = -3*i + t*p + 35. What is the greatest common factor of i and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 446 = -l, 4*l = 4*b - 118 + 558. Let o = b - -150. Which is smaller: 1\/2 or o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 937 (b) -2\/3 (c) -6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84)\/(((-6)\/(-24))\/1). Suppose -3*t - 5*p - 4 = -14, -3*p - 12 = 0. What is the remainder when 48\/c - 576\/(-14) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 27.\nAnswer: -20\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:25 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -3 + (-5 - 5) + -28\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60480 and 423360?\nAnswer: 423360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:51 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (645*z + 18 + 139 - 643*z)*(2 - z**2 - 2).\nAnswer: -2*z**3 - 157*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 1, m: 2, b: 4}. What is prob of picking 1 m, 2 b, and 1 w?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(132)\/sqrt(12)) + (sqrt(1078)*4 - sqrt(1078)))\/(4*(sqrt(11)*2 + sqrt(11)) + sqrt(11) + sqrt(1331)*-3).\nAnswer: -11*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2 + 1 - 1 + 2 + (-5 + 2 + 5)*(-1 + 0 + 2) - 1 + 3 + 0 - 4 + 2 + 1 - 3 + 0 - 6)*(6*k - 3*k + 4*k).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 2*a - 2*a)*(-1 - 3 + 2)*(-4 + 7 - 2) - 21*a + 6*a - 8*a to the form r*a + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -18593.\nAnswer: 55779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 16. Let d = 50 - 46. Suppose -d*o + 14 + 38 = 0. Calculate the remainder when z is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003024 rounded to seven decimal places?\nAnswer: -0.0000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4049 - 0.3649. Let p = -4 - -8. Let q = 2 - p. Are q and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 - 2*n**2)*(5*n**2 - 5*n**2 - 4*n**2) + (0*n + n + 0*n)*(-7*n**3 + 21*n**3 - 9*n**3).\nAnswer: 13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + -4)\/(-2 + 0). Let v be 2\/(17\/j - 4). Suppose -10*g = -v*g + 4000. What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/8)\/((-3)\/(-8)). Let u = 3815 + -3815. Suppose -z - 1 + a = -2*b, u = -3*z + 15. Solve -h + b*g - 4*g = 0, 2*g = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/616 and -1\/107646.\nAnswer: 430584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmw when three letters picked without replacement from {k: 5, v: 3, m: 4, p: 2, w: 5, h: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 18*f**2 + 2*f - 2. Let h be x(1). Let r(c) = h*c - 1613 + 1613. Does 12 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -36.6. Let y = -30.6 + j. Let s = 5 - y. Round s to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6036 and -4.\nAnswer: 24144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -3 (c) -5 (d) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 6*l + 2. Let g be u(-6). Suppose g*v = -7 + 29. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 1690*b - 34 = -1688*b, -3*b = 3*c + 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 10. Let j(y) = -y - 1. Let k(f) = -a(f) - 4*j(f). Let m be k(-8). Suppose -m*i + 3*i - 2 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -0.103 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -509 - -454.4. Let w = -64.21 - k. Round w to one dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**3 - 22. Let w(z) = -8*z**3 + 11. Let t(n) = 2*d(n) + 5*w(n). What is the first derivative of t(y) wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -29*o**5\/60 + 644*o**2. Let i(r) = 16*r**2 - 2. What is m(i(f))?\nAnswer: -7424*f**4 + 1856*f**2 - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26806*k + 113*k**3 + 26806*k)*(0 + 0 - k)*(2 - 2 + k).\nAnswer: -113*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55188 - 3863287\/70. Calculate the common denominator of x and -59\/75.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288*-0.1591.\nAnswer: -45.8208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*o - 1 - 60, o = v - 38. Differentiate 65*b - 38 - 69 + 15*b - 18 - v with respect to b.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4354 = 106*q - 99*q. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 536622 and 126?\nAnswer: 11269062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 22*g**2 + 29*g - 300. What is the remainder when (-142)\/4*(-36)\/9 is divided by a(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.422029 and 1.5.\nAnswer: -0.6330435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*o - 78 = 5*y, 5*o = 3*y + 57. Let u = 97\/4 + y. Let d = -3 - -3. Which is the closest to u? (a) d (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 5*l - 198. What is the units digit of (-4359)\/(-7) - (l\/14 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23306 and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24841 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.82 + 0.06?\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -240*o + 237. Let a be b(1). Let s be 0 + 0 - (-16)\/72. What is the biggest value in s, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.4. Let s = 74 - 218\/3. Which is the biggest value? (a) z (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by 52?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (17 + -14 + -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9400 is divided by 2987.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqjbfjxxjxkf. Give prob of sequence fbqx.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8816 divided by -8222.\nAnswer: 4408\/4111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 192? (a) 40 (b) 1\/3 (c) 6.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012 - -21?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-10) + 2\/(-10). Suppose h = -t - 4, 20 = k*h + 2*h - 5*t. Suppose 3*b + 3 - 12 = h. Sort b, 1, 2.\nAnswer: 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:25 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38108145 is divided by 3354?\nAnswer: 3351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27c1 + -2?\nAnswer: 27bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + (-193)\/5. Let q be (-4)\/(-10)*(-4 - r). Let b(a) = q*a - a**2 - 14*a. Let x(t) = -5*t**2. Calculate x(b(w)).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*u - 283572 = -39*u + 235982. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/672 and 67\/12544?\nAnswer: 37632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/(-228)*(-16)\/(-30).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*i**3 - 2*d**3*i*k**2 - 2733*d**3*k + 22*d**2*k - d*i**3 - 1539*d*i*k**2 wrt d.\nAnswer: -6*i**3 - 12*i*k**2 - 16398*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2662))\/(sqrt(11)*2*-1))**2*-1.\nAnswer: -121\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-35))\/((-16)\/(-224))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 60784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693802401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25212 and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*v**4 + 53*v**4 - 107*v**4 + 2*v - 3*v**2 + 0*v**2 - 9*v**3 + 10*v**3 - 6 as x*v**2 + n*v**3 + a + b*v**4 + f*v and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 846373 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -17 (c) -695.7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.1964 microseconds in hours?\nAnswer: 0.000000181999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {h: 3, p: 1, r: 1, n: 2, q: 1, g: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22143, 23429, 24715, 26001, 27287, 28573?\n\"Answer: 1286*t + 20857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -18. Let x = -11 + l. Suppose 2*a + 2 = 4. Put x, 5, a in decreasing order.\nAnswer: 5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23121756 or 23121753?\nAnswer: 23121753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02872178127 rounded to 4 dps?\nAnswer: 0.0287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 80876732?\nAnswer: 889644052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.5 + -41. Let z = 5 + c. What is the third smallest value in -0.2, -76, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 37?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 14 - 4)\/(-1). Factor 5*k**3 - z*k**2 - 14*k**2 + 36*k**2.\nAnswer: 5*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -202?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-6\/11)*t)*t*t**(-24\/5))\/(t\/(t\/(t**(-34)\/t))*t**(14\/13)) assuming t is positive.\nAnswer: t**(21928\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 4*h + 7. Let a be u(-5). Let y be (-253)\/a + 2\/7. Is ((-3)\/2)\/(y\/18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1113910736 + 0.163\nAnswer: -1113910735.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 146 = -n. Suppose 0 = -3*y - 2*c + 40, -y - 6*c + c + 9 = 0. Calculate the greatest common divisor of y and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -200 + 1004\/5. Let t = -3.9 - 1.1. What is the closest to 0.1 in 4, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1083 - 1082.42. Let j = -27 + 53\/2. Put j, h, -0.3 in increasing order.\nAnswer: j, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25624515 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 8. Let k be w(-6). Suppose d + k*d = -4*f + 20, -4*d = -4*f + 20. What is the closest to -1\/4 in -0.1, 0.4, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 25. Let h be (-26)\/2 - k\/6. Let d(r) = 2 - r + 16*r**2 + 1 - 9 - 5. Let t(m) = 3*m**2 - 2. Calculate h*t(g) + 2*d(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/7 - 980808*a**2\/7 + 3923280*a\/7.\nAnswer: -3*a*(a - 4)*(a + 326940)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -5\/2*j**2 + 0 + j - 2700001\/6*j**3. Let d be z(-5). Round d to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 + 9501645*w + 19003302 = 0. Calculate w.\nAnswer: -2, 3167217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2701*y + 8841*y + 4614*y)*(3 - y - 2 - 3).\nAnswer: -10754*y**2 - 21508*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 4*t**2 + t**4 - 3*t - 4*t**2 + 4*t**2 + 4*t**2 - 1 as m*t**2 + d*t**3 + f + x*t**4 + w*t and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8165*a**2 - 35*a + 125 wrt a?\nAnswer: -16330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249*s - 271*s - 165*s**6 + 208*s + 2*s**2 wrt s?\nAnswer: -19800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*h**3*t**2 - 2*h**3*t - 51*h*t + t**4 + 2 wrt t.\nAnswer: -112*h**3 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3203*a - 301 - 3201*a + 6401*a)*(-5*a + a + 2*a) to the form n*a**2 + o*a + h and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 17. Let h = 6.2 - j. Sort h, -1, -4 in increasing order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 44 + 28*d**2 + 13 + 18 to the form a + n*d + y*d**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 78. Let t(w) = w - 142. Let a(j) = -11*l(j) - 6*t(j). Let o(z) = -12*z - 6*z + 17 + 3*z. Suppose 21*i + 218 = -139. Calculate i*a(s) - 6*o(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 2*l + 82. Let k be f(0). Suppose 0*d = 2*s + 2*d - k, 3*d = 15. What is the remainder when s is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 6 + 26)*(o - 4*o + 2*o)*(o**2 - o**2 + o**2) + 0*o**3 + o**3 + 0*o**3 to m*o**2 + x + w*o**3 + c*o and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*l + 31 + 694. Solve -z + 3*g = z + 9, 4*g - l = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -272.7?\nAnswer: -272.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -252814766, -252814768, -252814770, -252814772?\n\"Answer: -2*y - 252814764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5572 and 149\/2388.\nAnswer: 16716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h - 923 + 538 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 1369*b**2 + 6*b - 3. Let p(l) = -7*l**3 - 5479*l**2 + 22*l - 11. Determine -3*p(m) + 11*s(m).\nAnswer: -m**3 + 1378*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:50 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.0359673.\nAnswer: 0.01798365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 3254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3*z + 76 = -4*u, 31 = z + 3*u. What is the remainder when 1\/((-4)\/(0 + -340)) is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s + 53*s + 456 = 0. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczyykymzkmyz. What is prob of sequence ykcy?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 9 + (-4 + -20 - -11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 3:14 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 866172312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3 - 2. Suppose r*i = 600 - 50. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 + x**4 + 0*x**4 - 2*x - 2*x**3 + 0*x + x**2 to i*x + k + p*x**2 + d*x**4 + s*x**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4863 - 798.1863. What is g rounded to the nearest 10?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-19 - (13 + -38)) - 46\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 + 7*s. Let d(m) be the second derivative of m**5\/20 - m**4\/6 + m**3 - 2*m - 2. Give 7*d(p) - 6*l(p).\nAnswer: p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 141163205?\nAnswer: 141163230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 2. Let s(w) be the second derivative of -w**3\/6 + w**2\/2 + w. Let x = -3 + 2. Let o be s(x). Give a(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-34)\/(-153) + 4\/(-18))\/(3 - 2). Which is greater: l or 12\/151?\nAnswer: 12\/151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1473, 1474, 1475, 1476, 1477, 1478?\n\"Answer: k + 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 + 24*f**2 - 134. Let p(i) = i**3 + i**2 + 2*i + 1. Let g(w) = 6*p(w) - r(w). Let u be g(-20). Round u to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + -2. What is the lowest common multiple of 3\/2*(-48)\/o and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 17 + 69 + 36)*(3 - 3 + 2*c).\nAnswer: 288*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b**2 - 239*b**2 + 131*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -599*v**2. Let n(f) = -34*f - 2. Calculate s(n(z)).\nAnswer: -692444*z**2 - 81464*z - 2396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11216 + 18171 + 25193 = 2729*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 22, 80, 192, 376, 650, 1032, 1540?\n\"Answer: 3*r**3 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*v + 169*v - 2 = -d, 6*v + 5 = v - d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*d - 18, -4*d - 3*y + y + 16 = 0. Suppose d*b + 29 = 35. Solve -3*t + 5 = -h, -3*t - h + 3 = b*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19553357.\nAnswer: 97, 201581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/240 - b**4\/8 - 3*b**2. Let q(x) be the second derivative of n(x). Let k(w) = -2*w. Determine q(k(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Let m = -35 - -247\/7. Which is the closest to m? (a) -1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000251997 rounded to seven dps?\nAnswer: 0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(52)\/sqrt(4) + 2)**2.\nAnswer: 14*sqrt(13) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 888?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-2 + -3))*-1. Let x = 4 - g. Suppose 0 = 3*n - 0*n - 12, 5*p - 3*n - x = 0. Solve p = -b + 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72, 142, 208, 270, 328, 382, 432?\n\"Answer: -2*y**2 + 76*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 7*m - 2*l + 2 = 0, -5*m + 4*l = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 127*o - 1230. What is s(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 58*a - 539*a**2 - 403*a**2 + 361*a**2 + 137*a - 77*a to y + g*a + c*a**3 + z*a**2 and give z.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -1. Suppose -10 = -2*z - y*m, 0 = 3*z - m - 4*m + 1. Let t(j) = 4*j + 4. What is the tens digit of t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 173*z + 6843. What is s(-112)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 259*a - 6. What is the units digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112134593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d. Let n(l) = 391*l**2 - 831 + 831 + 1294*l**2. Give n(y(o)).\nAnswer: 26960*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -262, -412, -576, -754?\nAnswer: -946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0)*(-2 - -2). Suppose 2*v + f*v + 2*z = 38, 3*z - 11 = -v. Suppose -h - 4*k + 16 = 0, 0 = 466*h - 469*h - 4*k + 16. Solve h = -5*l - v + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a week?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:08 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 - -1.8?\nAnswer: -256.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y + 444 + 431 + 464 - 1339 + y**3.\nAnswer: y**3 + 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 64?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/4 + 3*i**3\/4 + 27*i**2\/4 - 27*i\/4 = 0 for i.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*u = -100*u + 40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a. Let d = -9 + 9. Suppose 3*n + 3 - 21 = d. Let h(z) = 1 - z - n + 5. What is o(h(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -932*i + 7 + 0 + 954*i - 7.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439*c - 436*c - 60 = 0. Solve 0*t + 5*t - c = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34045, -34051, -34059, -34069, -34081, -34095, -34111?\nAnswer: -34129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4128776 divided by -22439\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 5:27 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by 2\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 6*p**2 - 7*p + 4. Let i be j(-7). Suppose -i*x - 160 = -688. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w = 85*w - 376 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1082*a**2 - 3*a - 391. Let x(q) = -361*q**2 - q - 138. Give 6*b(k) - 17*x(k).\nAnswer: -355*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*b - 416*b = 0. What is the second derivative of 72*g - 47 + 7*g**4 - g**4 + b*g**4 + 45 wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5907817634 to the power of 1\/3, to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 3 + 3 + 10*y + 7 - 7 + (-1 + 3 - 5)*(-y + 0*y + 4*y) in the form w + u*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/21))**(16\/7)\/(j\/j**4*(j**(2\/29)\/j)\/j*j))**32 assuming j is positive.\nAnswer: j**(565952\/4263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 234*q + 54756.\nAnswer: (q - 468)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*h - 847 = -1097. Put 1, h, -2, -1, -6 in decreasing order.\nAnswer: 1, -1, -2, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:47 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, o: 6, w: 9, t: 1}. What is prob of picking 2 u and 1 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.0551 to the nearest integer.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 10 = -14. Let k(i) be the first derivative of -i**3\/3 - 4*i**2 + 5*i + 382. Is 7 a factor of k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 128\/(-224) + (-5062)\/(-14). Suppose n = -5*h + 1505, -h - n = 64 - t. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - q**5 + (60*q**3 + 71 - 71)*(-5*q**2 + 4*q**2 + 11*q**2).\nAnswer: 599*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/10)\/(4\/10). Suppose -x + 11 = y, 0 = s*x - 5*y - 5 - 3. What is the highest common factor of x and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -319 - -356. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1446 + -903. What are the prime factors of r?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79395, 317493, 714319, 1269873, 1984155, 2857165, 3888903?\nAnswer: 5079369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -45, -54, 325, -3, -4 in ascending order.\nAnswer: -54, -45, -4, -3, 1, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4165903584 to the nearest integer?\nAnswer: 64544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7792.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20661591.\nAnswer: 3, 691, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 56. Which is the smallest value? (a) v (b) 0.5 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + 41 - 239 + 13)*(4*q - 4 + 4 + (-2 + 2 + 2*q)*(1 - 6 + 2)).\nAnswer: 640*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/276360 and 71\/105693.\nAnswer: 198702840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g + 2*q, -9 = -3*g + 5*q - 7*q. What is the least common multiple of 37 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznnznzzzzzz. Give prob of picking 3 z.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99931, -99942, -99965, -100006, -100071, -100166, -100297, -100470?\nAnswer: -100691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 1\/6*b**4 + 0*b**3 - 13\/20*b**5 + 0 + 0*b**2 + b. Find the third derivative of a(k) wrt k.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**9*q**(1\/18)*q*q**(-1)*(q**4*q*q)\/q assuming q is positive.\nAnswer: q**(253\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 4*b + 359 = 383 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/7)\/((-21)\/(-98))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3832, 2, -0.07, 6\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 2*w + 87 = 0, 236*i = 234*i + 4*w - 14 + 48 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31501304 (base 6) to base 5.\nAnswer: 214110142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/2)*a)**(-1\/9)\/(((a\/a**(3\/2))\/a*a*a*a*a)\/a**2))**(1\/4) assuming a is positive.\nAnswer: a**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193532 is divided by 472.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1133.2 - 1132.8. Let y = -41 - -40. Which is the second biggest value? (a) 3 (b) g (c) y (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w**3 + 6*w**2 + 3. Let z(t) = -4*t**3 - 2*t**2 - 1. Let r be 4*1*(-6)\/(-2 - -5). Give r*z(d) - 3*b(d).\nAnswer: -d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/558 (b) 76\/17 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -g, -d - 81 = 5*g. Let m = -62 - d. Suppose 54 = c + 2*k - m, -5*c + 346 = 4*k. What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {n: 1, w: 4, r: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) - (sqrt(78) + (-1*sqrt(78) - sqrt(78)))) - sqrt(78))*3*3)\/(sqrt(36)\/(1*sqrt(18)\/sqrt(3))).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2150 + 4?\nAnswer: -2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 - 10*f - 4. Let i be x(-7). Let m(q) = q**3 - 3*q**2 + 6*q - 16. Let t be m(3). Let n = 50 - 45. Solve n*g + t = i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-604)\/(-10) - (-38)\/(-95). Calculate the greatest common factor of g and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z = -23*z - 688. Let u = z + -22. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5263 + 7 = 62*c for c.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 7:08 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43694 rounded to two decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245561731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/4 - 13*q**3\/4 + 7*q**2\/4 + 17*q\/4 - 3\/2 = 0 for q.\nAnswer: -1, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 841330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + a. Let h(s) = 97*s**3 - 8*s**2 - 4*s - 77. Let k(w) = h(w) + 4*q(w). What is the derivative of k(f) wrt f?\nAnswer: 291*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155043\/20 - -7754. Calculate the common denominator of (989\/(-4816))\/((-290)\/(-609)) and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 254176 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63 and -0.08?\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22665212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 11*x + 12. Let n be t(10). Which is the nearest to -0.3? (a) n (b) 2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -1252*y**3\/3 + 1103*y - 480. Differentiate u(m) wrt m.\nAnswer: -2504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddddddudduuudddd?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -506*d + 6344. Determine l(11).\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-488)\/122 - (-951)\/(-492)*-2. Is g at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 3 + 16)*(-5*h**3 - h**3 - h**3).\nAnswer: -357*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -753243 (base 12) to base 8\nAnswer: -7037223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzkzzzwkahazkzbzzz. What is prob of sequence zhz?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**14)\/w)\/w**(-34)*(w\/(w**(1\/12)\/w))**34 assuming w is positive.\nAnswer: w**(511\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017010478 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**6\/120 - b**5\/20 + 2*b**3\/3 + 2*b. Let n(z) be the second derivative of g(z). Determine y, given that n(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40679087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 4, 0.5, -4, -0.7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57190*r*u**2 - 11*r*u + 94*u**2 + 324*u - 2 wrt r?\nAnswer: 57190*u**2 - 11*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 7) to base 2.\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.6963 rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 870 by 3.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Suppose -d*h = -c + 3, 3*c - 12 = -5*h - c. Find the second derivative of q - 4*q + 3*q**3 - 4*q**3 + h*q wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f + 66*f - 26*f + 21*f - 18 - 26*f.\nAnswer: f - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0603 + 17.9397. Which is the second biggest value? (a) 0.08 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.89 plus 5.8932233?\nAnswer: 14.7832233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1180 (base 12) to base 15.\nAnswer: 8b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 612967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*z - 3*g, 2*g = -2*z + 12. What is k in 2\/3*k + 0 + 1\/3*k**4 - 1\/3*k**2 - 2\/3*k**z = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2575*y**2 - 5345*y**2 + 5 + 2788*y**2 - 27*y)*(3 + 3 - 7) to b*y**2 + v*y + m and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2637521 + -83418.62.\nAnswer: 2554102.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -632 + 5698\/9. Which is the fourth smallest value? (a) 1\/2 (b) v (c) -0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 171*g + 1622. Give s(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37488)\/(-36920))\/(6\/260).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 2, x: 6, q: 2, r: 5}. What is prob of sequence fxq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/7 + 72*y**3\/7 - 21*y**2 + 74*y\/7 = 0.\nAnswer: -74, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:23 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -33?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 f, and 1 w when four letters picked without replacement from {t: 1, n: 3, h: 2, f: 3, w: 6, z: 5}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) 4 (b) 1\/3 (c) 0 (d) -138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/220 + 29*p**4\/132 + 112*p**3\/33 + 98*p**2\/11 + 1574*p. Factor k(s).\nAnswer: (s + 1)*(s + 14)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 25 = 5*t - c, -2 = 5*t + 4*c. Suppose -34*w + t*w = -320. Solve -5 = w*h - 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1 (c) -4 (d) -2\/7 (e) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.343 and -5.\nAnswer: 1.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 divided by 14?\nAnswer: 183\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 5*x - 21, -397*q + 10 = -392*q + 3*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*v - 41, 2*p + 0*v = -v - 25. Let n(x) = -20*x**3 - x**2. Let r be n(1). Let h = p - r. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + (sqrt(468) + -2 - sqrt(468)) + 2))**2 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46149621 is divided by 1031?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 237, 241, 245?\n\"Answer: 4*x + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -381 + 420. What is the remainder when 194 is divided by d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:43 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.5261 litres in millilitres?\nAnswer: 874526.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((170\/(-100))\/17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-8)\/x)\/x)\/x**(-3)*((((x\/(x*x\/(x*x**(-1))))\/x)\/x)\/x*x)**(-2\/21))\/(x**(-6)\/(x\/(x\/((x*x*x**(-3))\/x)))*(x**(-2\/3))**(-6\/13)) assuming x is positive.\nAnswer: x**(-275\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1556, -4, 4, 3, -2 in descending order.\nAnswer: 1556, 4, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:24 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 4*z**2 - z**2 + 7*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w\/((w*w**(-2\/5)*w)\/w))*w**(-3)*((w*w\/w**(1\/9))\/w)\/(w*w\/w**(-2\/5)*w)*((w**(-2\/3))**(1\/11))**23 assuming w is positive.\nAnswer: w**(-2626\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -68?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 1057312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12158.\nAnswer: 2, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 26*l**3 + 89 - 46 - 44 + 0*l.\nAnswer: -26*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22303470 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1152)*2)\/(2*(sqrt(9) - 2*sqrt(9)) - sqrt(81)*3).\nAnswer: -32*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - (-1 + sqrt(343))*1)*-6)**2 + 0 + -1)*5.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 4785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5183 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 39. Is 8 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 5*y**3\/3 + 75*y**2\/2 + 220*y + 117. Factor f(o).\nAnswer: 5*(o + 4)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 1\/6*y**3 - 2*y**2 + 1\/12*y**4 - 5*y + 0. Give v(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3 + 7)) + (-6 - -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -37*s**3\/3 - 175*s**2\/2 - s + 54. Find the second derivative of d(w) wrt w.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59786704 divided by 16\nAnswer: 3736669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d + 21. Suppose -5*b - 62 = -9*w - 30, 0 = 4*b + 3*w - 5. Determine k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -225 - -224.8568. Let c = -4 + 3.85. Let s = q - c. What is s rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 638 + -635. What is the nearest to 0.1 in 0.3, 1, p, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175547 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\/4*(-1100)\/990*1\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*l + 7*l**2 + 3*l**2 + 153*l - 11*l**2 - 2*l**3 - 24 - 65*l in the form c + x*l**3 + y*l + v*l**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5317*i - 388136. Determine a(73).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 7}. What is prob of picking 3 h?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, h: 4, s: 7}. Give prob of picking 1 s and 3 h.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.025. Let t = -30.025 - f. Let c = 31.7 + t. Which is smaller: -0.2 or c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from tvttttsttttvstt.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.245 - -0.225. What is the second smallest value in 3\/7, 1, n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 2. Let n(w) = -w - 17. Let b be n(-9). Let z be o(b). Solve -20 = -2*c + z*c - 4*q, -5*q - 10 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4857920 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.213 (b) 2 (c) 3\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and (-4)\/6*8424\/(-78)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, -5, -16, -13, 5 in ascending order.\nAnswer: -16, -13, -5, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 162582293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - o. Let k(s) = 4*s**4 - 6*s**3 - 14*s**2 + 6*s. Let h(d) = k(d) + 6*w(d). What is the third derivative of h(l) wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/4 smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -29, -54, -97, -164, -261, -394?\n\"Answer: -t**3 - 6*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 15897294725433.\nAnswer: -15897294725438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -7.23?\nAnswer: -7.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 2861, 9683, 22969, 44873, 77549?\nAnswer: 123151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1.4724\nAnswer: -1.5276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67747 (base 10) to base 12.\nAnswer: -33257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560b (base 12) to base 6.\nAnswer: 112015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((13*d - 8*d + 6*d)*(-2*d**2 + 0*d**2 - d**2) + (-3*d + d + 4*d)*(d**2 - 2 + 2))*(-4 + 1 + 2) + 7*d**3 + 4*d**3 - 10*d**3.\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.74148451 to three dps.\nAnswer: 2.741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3\/20 (b) -21 (c) -0.3 (d) -1.8592\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 8*b**2 - 47*b - 166. What is s(13)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4 = -4*z, -5*n + 355 = -4*z + 395 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/102 + (-2068)\/(-9724)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 37) + 18 - 1872\/186?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppt when three letters picked without replacement from ppptpptp?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2815491?\nAnswer: 3, 7, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(9\/12)*(-5 + 408\/80)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:34 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 6*v**2 - 1 - 3*v + 2*v.\nAnswer: -6*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41552\/1325)\/98*115\/2.\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -511*b. Let t(u) = 70*u**2 + u. Calculate r(t(z)).\nAnswer: -35770*z**2 - 511*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*r - 3*b, -2*r + 5*b = -0*r - 7. Suppose 9 - 59 = 10*f. Let v be (-432)\/(-84) - f\/(-35). Solve 4*g = 4*z - 31 + r, -v*g = z + 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1832, -22252, -79862, -193256, -381028, -661772, -1054082?\n\"Answer: -3099*i**3 - i**2 + 1276*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 488929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -5772?\nAnswer: -5772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53555*g**3 - 321939*g**2?\nAnswer: 321330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 1.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*r - 90014 + 22864 = 0 for r.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + q - 1. Let j(g) = 401*g**2 - 9*g + 7. Give -j(k) - 6*x(k).\nAnswer: -413*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 20*g**2 - 22*g - 11. Give o(-19).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*k = 9, -4*j - 526*k + 712*k + 882 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266420.\nAnswer: 2, 5, 7, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*u + k - 35 = 82*u, 4*u - 5*k + 28 = 0. Let s be (-1)\/(-3)*(-9)\/(-24). Sort u, 1\/5, s in descending order.\nAnswer: 1\/5, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j + 5*g = -2, 4*g = -2*j + 18. Suppose 0 = 3*i - j*i + 20. Solve -y = -0*y - i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-4) - (-63 + 67). Let h = 0.1 - 0.1. Let k be 0 - (-1)\/5 - 21\/(-945). Which is the third smallest value? (a) h (b) -0.2 (c) k (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 0.4 (c) 4 (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 60 + 15*v**4)*(-2*v - 3*v + 7*v)*(0 - 1 + 0).\nAnswer: -30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -537 divided by -7137?\nAnswer: 179\/2379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 504 * 0.047218.\nAnswer: 23.797872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567) + -4 + -5)**2.\nAnswer: -144*sqrt(7) + 631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(343) + 0)**2*-3 + (sqrt(343) + 0)**2*4 - (-1 + sqrt(343) + -1*(sqrt(343) + 0 + sqrt(343)))) + 2.\nAnswer: 7*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 6, -7 in decreasing order.\nAnswer: 112, 6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810 and 7371?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 12 = 2*m - 3*b, 0 = 5*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/30*(-16)\/(-8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/8 of a millisecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 11:31 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90426 and 170465928.\nAnswer: 12918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/((9 - 17) + 4). Let w(b) = b**3 - 4*b**2 + b + 7. What is w(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2492945896?\nAnswer: 2, 7, 23, 1935517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 381.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 33.\nAnswer: -3, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17316 and 1972100.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 987949 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-294) + (-6)\/28*(-1208)\/12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*g + 2, -g + 14 = -5*w + g. Calculate the remainder when 39 is divided by (-3)\/72*w - 137\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-15))**(-44)*v\/(v**34*v)*(v*v*v\/v**(-4\/21))\/v assuming v is positive.\nAnswer: v**(12268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = y - 24. What is the nearest to -0.2 in -4, y, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-132) + (-20)\/(-11) + 5239. List the prime factors of 18\/(-24) - z\/(-12).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -5544, -5505, -5466, -5427, -5388, -5349?\nAnswer: -5310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/3)\/(c**(-32)\/c) assuming c is positive.\nAnswer: c**(101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122361 - 84731. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7381*q**2. Let v(b) = b**2 + 42688*b + 42690*b - 85378*b. Determine v(n(x)).\nAnswer: 54479161*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 476 + 2?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**3\/2 - 47*i**2\/2 + 1623*i. Calculate g(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:37 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1656\/15 - (-2)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - -27362?\nAnswer: 27342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -825 - -966.7. Let u = n + -159. What is u rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(1053) + 3 + sqrt(1053)*2 + sqrt(1053) + -2 + 2 + sqrt(1053) + -1*(sqrt(1053) + sqrt(1053) + 2))**2 + 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*-1*(-2)\/5. Let l be (-30)\/(-18)*(-18)\/(-10). Find the third derivative of 2*i**5 - l*i**u - 5 + 5 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596295 divided by 27.\nAnswer: -22085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 612 and 54.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*v**2 - 2*v**3 - v - 7*v**2 - 4*v in the form q*v**2 + o*v + l + r*v**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 8*c**2 + c + 11. Let j be 50 - ((-9)\/(-3) - 4). Suppose 44*a - 56 = j*a. Give r(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -51*i**2 + 70. Let z(y) = 4*y. What is z(g(w))?\nAnswer: -204*w**2 + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/6))**(-6\/7)*(g*g**10)**25 assuming g is positive.\nAnswer: g**(1920\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3798 = 5*w + 32662, 0 = -3*a. Let t = w - -72801\/10. Calculate the common denominator of 3\/2*3\/(-2) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - 139. Let r be z\/56 - (-2)\/7. Let j(h) = -h**2 - 7*h. List the prime factors of j(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2838 and 1971894?\nAnswer: 21690834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 6, v: 5, x: 4}. Give prob of picking 1 v, 1 n, and 1 u.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 3787133063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 2*k**2 + 5*k**2 - 37206 + 37204 - 90*k**2 - 99*k**2 + (-k + 0*k + 2*k)*(-2 - 2*k + 2).\nAnswer: -185*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - 7. Suppose u*z = -0*z + 585. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.16 (b) -2 (c) 3 (d) 0.7 (e) -375\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23250581 to the nearest integer?\nAnswer: 4822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 1 - 1)*(2 - 6 + 4 - 378*d).\nAnswer: -378*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -i + 54, 2*j = j - 5. Calculate the greatest common divisor of i and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 172977*f\/2 - 172979.\nAnswer: (f - 2)*(f + 172979)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3843 and 3294.\nAnswer: 23058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m + 1293800413827 - 1293800413827.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 478 + -476. Suppose 5*b = -4*b + p*b. Solve v + 2 = -b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131163 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 45, 2, 4 in descending order.\nAnswer: 45, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3186206?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 - 1)) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {l: 2, q: 3, k: 3, c: 1, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1014, 968, 894, 792, 662?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wphiu. Give prob of sequence wp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 15. Give j(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jssn when four letters picked without replacement from {n: 5, s: 5, r: 1, j: 8}?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/276 and -65\/6012.\nAnswer: 138276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 103 = 5*p. Calculate the highest common divisor of 99 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 47410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20484000 to the nearest 100000.\nAnswer: 20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and (1 - 16\/(-4))*260\/20.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*q + 596*q = -6*p - 137, 2*p = p + 8*q + 13 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 196*h + 3046. What is f(-16)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 71 + 69 - 4*j**2 + 2*j**2 to z*j**2 + q + o*j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/9, -1707.5, -8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6827 - 1543*r + 6827)*(0*r + 3*r - 5*r - 2).\nAnswer: 3086*r**2 + 3086*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/48 - 77*i**3\/8 + 2483*i. Suppose u(f) = 0. What is f?\nAnswer: 0, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-10)\/(-4))\/(5\/170). Suppose n*k = 24*k - 861. What is the highest common divisor of 41 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 - 11*s - 4. Determine z(-3).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k + k)*(-k - k + 3*k) - 2*k**2 + 3*k**2 + 0*k**2 + (2*k + 2*k - 5*k)*(3 - 4*k - 3) as i*k**2 + n + u*k and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-285)\/(-152))\/((-10)\/(-4)). Which is the second biggest value? (a) 11 (b) i (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23701\/798 + 572\/19. What is the common denominator of -109\/308 and h?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1.27, -0.16?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/(1 - (-17)\/(-15)). Solve q*k - 12 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/677 or 1?\nAnswer: -3\/677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -24. Let r(l) = l**2 + 7*l - 9. Let h be r(-6). Sort 4, m, h in increasing order.\nAnswer: h, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18168799 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2142344 - 5?\nAnswer: -2142351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/91020 and 137\/946608?\nAnswer: 4733040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (-1 + 2 - -1). Suppose -2*s = a*m - 16, m + 3 = -s + 4*m. Suppose 0 = -6*i + s*i + 45. Which is smaller: i or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:12 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let c(w) = 11*w. Let n(r) = 7*r. Let m(k) = -5*c(k) + 8*n(k). What is m(x(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*v + 7 - 1\/6*v**2.\nAnswer: -(v - 7)*(v + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47101 (base 12) to base 11.\nAnswer: -65572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10359095 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2702724 is divided by 900897?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -38, -70, -110, -158, -214?\n\"Answer: -4*x**2 - 12*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 12. Give n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6726 is divided by 3295.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 14*c**2 - 4*c - 9. What are the prime factors of f(-14)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 1801 - 597. Let i = v - -264. Suppose -i = -2*j - 28. Calculate the least common multiple of j and 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**6\/27 + 58*v**5\/45 - 13*v**4\/9 - 112*v**3\/27 + 7253. Find a such that l(a) = 0.\nAnswer: -1, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 7 = 7*f, -f + 5*k + 27 = 28 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2\/10)\/((-12)\/(-420)). Solve -t - x = i, 0 = 4*t + 8*i - 3*i + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*z - 9. Suppose -4*j + 12 = -8*j, 2*j + 78 = 2*o. What is the greatest common factor of o and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 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 r(h) = 11*h**3 + 17*h. Let d(u) = -7*u**3 - 6*u. Let f(a) = 12*a + 19*a**3 + 3*a**3 + a + 5*a. Let z(s) = 10*d(s) + 3*f(s). Give -6*r(x) - 17*z(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - l + 101 - 998, -5*i + 1475 = 5*l. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, k: 6, i: 3, e: 3}. Give prob of sequence kk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 359*-0.4\nAnswer: -143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-78)\/(-172))\/((-12)\/86724). Let f = 3277 + o. Find the common denominator of f and -29\/12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16733 - 16733 + 765*i.\nAnswer: 765*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28763, -57526, -86289, -115052, -143815?\n\"Answer: -28763*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25140 is divided by 16778.\nAnswer: 8362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + (6 - 4) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-27)*195209919\/(-108) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 22 + 3 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**4 - 76*w**3 + 192*w**2 + 1168*w + 896 = 0.\nAnswer: -2, -1, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and 430532535.\nAnswer: 430532535.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2334*j + 11*j**2 + 9 - 3*j**2 + 2334*j.\nAnswer: 8*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from qqrqqrq?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgb when three letters picked without replacement from {q: 2, b: 3, o: 2, g: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -172 (c) 52 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/3 + 7220*a**2\/3 - 6523264*a\/3 + 13017664\/3 = 0. What is a?\nAnswer: 2, 1804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1078 (base 16) to base 4.\nAnswer: 1001320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565*f - 564*f - 3 = 0. Let t = -5 + 8. Factor -2*p**2 - 345*p**t + 167*p**3 + 12*p + 176*p**f.\nAnswer: -2*p*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.047482g in milligrams?\nAnswer: 9047.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1043*b + 62205 = -7*b + 93*b for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 12:02 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = -2*r, 4*i - 8 = 2*r + 6. What is the second derivative of 3*o**2 - 3*o**2 + 2*o - i*o**5 - o wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.05542 years in centuries?\nAnswer: 0.0805542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 154 = 10*b. Does 17 divide ((-72)\/b)\/((-62)\/10633)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 55860.\nAnswer: 55860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 833653359 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - i**2 - 3*i - 1. Let w(h) = -h**2 - h - 1. Determine -d(l) + w(l).\nAnswer: -2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 96. Sort -4, -0.4, i, 3.\nAnswer: -4, i, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) 6 (c) -1\/43 (d) -1.43 (e) -4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-6*d + 26 + 11 - 30).\nAnswer: -12*d + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -124*g + 7. Let j be n(2). Let i = j - -7231\/30. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 7\/(-21))*3*-1. Suppose 0 = o*d - 4*f - 437 - 509, -1415 = -3*d + 4*f. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146029?\nAnswer: 13, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 16*g - 100. Let v be i(18). Is v less than or equal to 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245\/294*(-18)\/(-10)*(-11628)\/323\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11943 from -18.\nAnswer: -11961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/5)*s**(4\/5)*(s**(-2\/3))**(-4\/25))\/((s**(2\/19)\/s*s\/(s*s\/(s\/(s**(-7)*s*s))))\/(s**(-1\/2))**19) assuming s is positive.\nAnswer: s**(-32201\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2179 + 4839 = -211*z - 20533 + 3359 for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 113*f**2 + 35*f + 34. Let n be c(-1). What is the greatest common divisor of 6328 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (2*(sqrt(209) + -1*sqrt(209))*-5)\/((sqrt(77) - 1*(sqrt(77) - sqrt(77)*2))\/sqrt(7))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 27. Let o be j\/(-3)*24\/(-10). Factor 4*k - 4*k**2 + o + k - k.\nAnswer: -4*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21596 rounded to the nearest one hundred?\nAnswer: -21600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17568890 and 21510?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 1 - (-16 - (-45 + 22)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/8 + 1367*y**2\/8 - 27865*y\/4 + 13250 = 0. Calculate y.\nAnswer: 2, 40, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 135, 186, 219, 228?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 24*c**2 + 15*c - 50. What is v(24)?\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + 2\/((-10)\/(-85))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103.173 - 103. Let o = -0.027 - i. What is the nearest to o in -10, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9101865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157247721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -14.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*n**2 + 74 - 74 + n to the form g*n + x*n**2 + l and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 510*b**3 - 56*b - 45558.\nAnswer: 1530*b**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.389093 times -1?\nAnswer: 1.389093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = p - 208. What are the prime factors of p?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0*m**2 + 25\/14*m**7 - 6 + 0*m**3 + 0*m**5 + 0*m**6 - m + 13\/3*m**4. Find the third derivative of u(o) wrt o.\nAnswer: 4500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227 * -0.9\nAnswer: 204.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c + 140 = -56*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296472 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 808.873 from -0.5.\nAnswer: -809.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*c + 1088. Let t = -78 - c. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-2)*3\/6. Suppose -4*o + 8 = -3*y - y, 3*y + t*o - 18 = 0. Factor 2*u**2 - 8*u**2 + 6*u + 3*u**y + 0*u**2.\nAnswer: -3*u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 5*n + 0 - 1\/18*n**4 - 2\/3*n**3 - 3*n**2. Factor r(w).\nAnswer: -2*(w + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1, -10\/11, 3?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 61399148.3 to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027319 rounded to 6 decimal places?\nAnswer: -0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23875\/1699 or -14?\nAnswer: -23875\/1699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10)*(23 + -3) - -184. What is the greatest common factor of 1792 and i?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 10. Let j be i(-8). Let h = j - 9. Solve -3*d - 6 - 17 = 4*x, -h*x = 5*d + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 15 = -r, -8 + 33 = -5*r. Suppose 0 = -3*s + 15, -4*s + 15 = g*h - 3*s. Solve o = -h*m - 3*m + 19, 2*m = -4*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/8568 and -73\/267750?\nAnswer: 1071000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35558 + 69758 = -932*g for g.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 2 + 3 - 6*n**2. Let t be y(-1). Let d be (-4)\/t + (-2)\/(-6). Solve d = -f - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let c(b) = -2*b - 17. Let i be c(-10). Let a(v) = 16*v + i*v + 48*v. Give f(a(h)).\nAnswer: -67*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13732 divided by 4\nAnswer: 3433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, n: 2, i: 3, p: 1}. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 6*q - 195. Let r be (1488\/(-120))\/((-16)\/(-40)). Does q = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:03 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4357225?\nAnswer: 5, 174289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -40. Suppose 0 = 3*a + d*a - 84. Solve 2*r + w - a = 0, 2*w = 4*r + 6 - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6 + 22 = 0. Suppose 12 = -5*j + 3*o, 0 = -2*j - o + i*o - 3. Let u be 1 + (j - 9\/(-12)). Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.033 - -7638.\nAnswer: 7637.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-130)\/(-14) - 2\/7. Let m = k + -5. Put 2, m, -2 in decreasing order.\nAnswer: m, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -214*x + 215*x - 2, -3 = x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 45*d - 1. Calculate the lowest common multiple of f(1) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 2. Let h be k(0). Let x be 1\/2*(21 - 1). Let c be 1 + x - (h + -2). Solve -5 - c = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 32. Let v = 56 - 56. Which is the third smallest value? (a) 0.2 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -206*t + 888 + 1584 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnjnnjbnnbbbjn. Give prob of picking 1 b and 2 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 550 divide 26295187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - 32225?\nAnswer: -32152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41216 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (63\/(-6) + -1)\/(13 + (-20969)\/1612). What is the greatest common factor of z and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**0\/(q**(1\/2))**(-42)*((q**(-3\/5))**(-20\/11))**20 assuming q is positive.\nAnswer: q**(471\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 457591, 915153, 1372701, 1830229, 2287731, 2745201, 3202633?\n\"Answer: -l**3 - l**2 + 457572*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -t. Suppose 15*q - 20 = 13*q. Calculate the smallest common multiple of q and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76958.78 or -5?\nAnswer: -76958.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17*m**2. Let r(h) be the third derivative of h**4\/24 + 42*h**2 - 2. Determine n(r(g)).\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 175667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 + -77. What is the remainder when q is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*m + 5*s, 6*s - s = -4*m - 49. Let f be 1*(-5 - (m + 1)). Suppose -3*q + 136 - 109 = f. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30811, -4, -0.4.\nAnswer: -4, -0.4, 30811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1091, -5390, -12881, -23564, -37439?\n\"Answer: -1596*c**2 + 489*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 5 (b) -0.77729 (c) 6 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 72 = -0*t. Suppose -4*i + 9 = 1. What is the greatest common factor of i and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17310444*d**2 - d - 287239 wrt d.\nAnswer: -34620888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.947008m?\nAnswer: 0.003947008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663.191 litres in millilitres?\nAnswer: 663191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8.11648 - 133334.9\nAnswer: -133326.78352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 128?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9330, -9115, -8900, -8685, -8470?\nAnswer: -8255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*v - 313*v + 2 - 315*v - 301*v + 1235*v.\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-5)*((-60)\/2 - 0). Let j be (-3)\/(b\/(-111))*-4. Suppose 5*r - 6*r + 37 = 0. What is the greatest common factor of j and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 4, p: 2, l: 1, a: 3}. Give prob of sequence la.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose -7*m = -g*m. Solve 0*b + 4\/7*b**4 + 0 + 2\/7*b**3 + m*b**2 + 2\/7*b**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(63) + sqrt(252)\/sqrt(4))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4*(2 - 0)*-3. Suppose -24*x = -23*x + 18. Which is the smallest value? (a) 1\/4 (b) m (c) x (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*w**3 + w - 25 + 25.\nAnswer: -176*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -109*z**2 + 7*z + 9. Let f(c) = -54*c**2 + 3*c + 4. Let d(q) = 9*f(q) - 4*y(q). Let r(k) be the first derivative of -k**3 + 98. What is r(d(w))?\nAnswer: -7500*w**4 - 300*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 2*h**2 + h.\nAnswer: h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 6:01 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*k = -26, 4*k + 36 = l + 10. Solve l*o = -2, g + 16*o - 1 = 20*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 165, -2\/5, -8.5?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304 + -300. Let q = 59 + -297\/5. Which is the closest to -1? (a) q (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvv when three letters picked without replacement from avzzvvzvzvv.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985 = -32*b + 1368 - 1425 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62673 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16613 = 4*v + 60048, -4*f - 3*v + 34717 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1799\/1564 - 95\/92. Let h = -10 + 15. What is the smallest value in 8\/11, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/6, -2.3, 3, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -35131*d. Let a(b) = -30*b. Give a(v(p)).\nAnswer: 1053930*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) -12\/11 (b) -131 (c) 5 (d) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veveuae. What is prob of sequence ue?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8313.666 weeks?\nAnswer: 83801753.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/73 + 81\/292. Let y = -697\/7 - -100. Let j = 9 - 13. What is the nearest to f in j, y, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00181602852 rounded to 7 dps?\nAnswer: 0.001816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 122, 186, 250, 314?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Let l(t) = 4*t - 2. Let r be l(-3). Let x = -4 - r. Solve q = -p*g - 8, 3*g - x - 7 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140413392 and 64356138?\nAnswer: 1544547312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/10)\/13*(18 - 7)\/363?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1296 and 69024.\nAnswer: 1863648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -6 + 1 + (-20 - -20 - 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b + 3 = 46*b. Let s(x) = -b*x - 7 + 7 + 4*x. Let k(z) = 13*z. Give k(s(i)).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n + 17*n - 6. Solve -4*m - 10 = -n*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(8\/13)*y**14 assuming y is positive.\nAnswer: y**(190\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000104441828 to seven decimal places.\nAnswer: 0.0001044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4003028g to milligrams.\nAnswer: 400.3028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 64. Suppose -4*d - 40 = -2*p - p, 3*d = 5*p - 85. Let z be 2\/7 + p\/(-21). Is z > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2241\/64 + -35. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 2563862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -54. What is the greatest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6810697*o**3 - 1390827*o**2.\nAnswer: 40864182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 189 in 1, -19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzmeeeemmz. What is prob of picking 2 m and 1 j?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**7\/840 - d**6\/96 + 9*d**5\/40 - 31*d**4\/24 + 11*d**3\/3 + 293*d**2. Find u, given that m(u) = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/14)\/(9\/(-18)). Is 17 a factor of (t + (137 - -2))\/(28\/350)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 66 = -3*s + u, 0 = 3*u + 15. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 2 - 2 - 3 - 1. Let n be w(-12). Suppose 2*l - z = n*l - 47, 91 = 4*l - z. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z**3 + 14*z**2 + 65*z + 7. Is p(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66753?\nAnswer: 3, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(3\/2)\/(l**(5\/4)*l**(-4\/3)\/l))\/((l\/l**(-3)*l*(l*l\/(l**(2\/7)\/l))\/l*l)\/(l**(-1)*l)**(-12)) assuming l is positive.\nAnswer: l**(-683\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 2\/3, -1, 41, -2 in decreasing order.\nAnswer: 41, 2\/3, 2\/17, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -132, -198, -264, -330?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/3285 and -127\/342?\nAnswer: 124830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 8*q + 11. Let g(d) = -d**2 - d + 189. Let m be g(-14). Determine w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 8)*(-2)\/8. Suppose 0 = -3*c + 5*h + 1, -5*c + 4*h = -5 - 1. Suppose -a + t*z = 9000003, 0 = -c*z + 2. What is a rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 2*y - 2. Let v(n) = n - 1. Let w(p) = p**3 - 2*p**2 - 2*p - 2. Let m be w(3). Determine m*h(x) - 2*v(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + 38. Let y(r) = 7*r - 14. Let c be y(10). Let k = c - m. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.458485 hours?\nAnswer: 1650.546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 379751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -4, -0.08 in descending order.\nAnswer: 92, -0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*k**2 - 1\/3*k - 60.\nAnswer: (k - 20)*(k + 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 2*d - 5*a, 3*d = a + 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(((2\/(-15))\/(92\/1840))\/(-56))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -880, -879, -878, -877, -876, -875?\n\"Answer: d - 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1482 and -34\/214929.\nAnswer: 8167302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i**3 + 0*i**5 - 7\/120*i**6 + 0*i - 4*i**2 + 0 - 1\/4*i**4. Find the second derivative of j(z) wrt z.\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1270379628?\nAnswer: 2, 3, 7, 31, 137, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 24 = 5*k. Solve 0*b + 2*f - 7 = -k*b, -2*f = -b - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 6\/5 (c) -0.04 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0, -172, 1, 2, 27 in ascending order.\nAnswer: -172, -20, 0, 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4569046746 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4)\/(4\/56). Suppose -5*h + k = -4. Suppose -h*d - g = 4*g - 200, 2*g = 4*d - 166. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**2 + 1\/4*i**4 + 29*i - 15\/4*i**3 + 48.\nAnswer: (i - 16)*(i - 3)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8937 or 8868?\nAnswer: 8937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 36*f + 3. Calculate s(4).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(1\/2)*h)\/h))**(7\/3))**33 assuming h is positive.\nAnswer: h**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -30 - (-11 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 8*n - 13. Suppose 11*z = 6*z + n, 18 = o + z. What is the highest common divisor of 289 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*t**4 - 38*t**4 - 2*t**3 - 42*t - 35*t**4 to the form z*t + h*t**3 + i + j*t**2 + p*t**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 3. Let i be u(-7). Let a(m) = 1 - i + 3 + 3*m. Let r(p) = 54*p**2 - 21*p**2 - 20*p**2. Give a(r(b)).\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) 7\/6 (c) -2\/21 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 21 = -33*m, 3*j = -5*m - 67 + 130 - 70 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149206365 a multiple of 2023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -2 (c) 1201 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 371, 373, 375, 377, 379, 381?\n\"Answer: 2*j + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c + 27 = -3*n, 0 = 2*c - n - 20. Let s(k) = -c + 2*k + 11. Let t(o) = 37*o - 10*o - 7*o - 8*o - 4*o. What is t(s(q))?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 - 157696*m\/15 + 105128\/5.\nAnswer: 2*(m - 78846)*(m - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -7, 446, 66.\nAnswer: -7, 20, 66, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*j + 3*j + 2274, 2*m = 4*j + 3036. Let t = j - -764. Solve -2*r + 2*x = -t, 2*x = x - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29109607900 to the nearest 1000000.\nAnswer: -29110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -159210 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-6)*((-20)\/(-6))\/((-355)\/142).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*r + 182 = 0, 0 = k - 6*k + r + 194. Suppose -u = -43 + k. Solve u*q = a - 2*a + 6, -2*a - 12 = -2*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -125*b**3 + 2*b**2 - 55*b + 82. Let v be l(23). Round v to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 34008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2247183 rounded to 3 dps?\nAnswer: 0.225","meta":{"dup_signals":{},"source":"numbers__round_number_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: Suppose 0 = -2*h + 2*f + 10, h + 3*f - 1 = 0. Let s(j) = j**3 - j**2 + 3*j - 6. What are the prime factors of s(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 7?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231 - 82 + 39)*(-3*h - 2 + 2).\nAnswer: 822*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 8*r**2 - r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603 divided by -504056.\nAnswer: 603\/504056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -203, 280, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 9. Let g be y(7). Let m be (6 - 1)*g\/15. Suppose 4*w - m = 44. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 8*c + 3*c)*(611 + 730 - 54) + (4*c - 5*c - c)*(1 + 0 - 3) to the form o*c + j and give o.\nAnswer: 14161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -290967.447 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from jbbjjjbbbjbbjbjzbb.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 14, h: 4}. What is prob of sequence hvvv?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p - 14*p)*(13 - 13 - 2*p)*(p - 3*p + 3*p).\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus 158498?\nAnswer: 158504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 + 164. Calculate the greatest common divisor of 114 and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6670 divided by 3335?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1915, -1963, -2063, -2227, -2467, -2795, -3223, -3763?\n\"Answer: -2*x**3 - 14*x**2 + 8*x - 1907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82947362 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 5*w**2 + 4*w - 2. Suppose 24 = -4*g + 3*z, -g + 5*z - 18 = 2*g. What is h(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*z = 95*z - 571 - 371. Suppose -3*i = 2 - 5. Let h = -1 - -4. Solve -p + 3*x - 5 = 0, i = -z*p + 6*x - h*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2183\/12 + 182. Let p(x) be the first derivative of 0*x + s*x**3 + 1\/8*x**2 + 1. Factor p(k).\nAnswer: k*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027222929?\nAnswer: 499, 4062571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*o = 5086 - 2821 + 4005 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/3*40878\/(-24981).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2 - 61040*i + 122072 = 0. Calculate i.\nAnswer: 2, 30518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = -3*k, -4*k - 2*m = -5*m - 43. Suppose 3*s = -k*s + 1460. What are the prime factors of s?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 19*z + 3949 = 3*l, 3*l - 5*z = 3929. Is l a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 14*g - 2. Determine t(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 14*b + 5*b - 9, 5 - 1 = -5*b - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*l - 226*l + 2158*l + 1817*l + 96*l to the form n*l + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7459, 14774, 22103, 29446, 36803?\n\"Answer: 7*f**2 + 7294*f + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 6:22 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -400164 divided by -133388\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 l when three letters picked without replacement from {l: 19, a: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 - (-32)\/(-30). Let n = -1151 - -1150. Let b be (-34)\/(-30) - 2 - -1. What is the nearest to q in b, n, 2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - q**2 + 4*q + 3. Let x be b(-2). Let p = 13 - 7. What is the common denominator of -3\/20 and 19\/p*x\/(-3)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166.88 times -8\nAnswer: -1335.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/20 + i**3\/6 + 24*i**2 - 4*i. Let d be m(0). Let j = 14 + d. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 865*c**2 - 312*c. Let g(l) = 16*l. What is u(g(o))?\nAnswer: 221440*o**2 - 4992*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2404973 is divided by 763?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-38)*(-18)\/45. Let z = 17 - 16.93. What is the third biggest value in 0.3, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 130 = -3*v, -v = 2*k - 20 - 30. Let y = v + -45. Let h(p) be the third derivative of -p**6\/20 + p**5\/30 - p**4\/24 - p**2. Determine h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(8\/(-4)*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*t - 21, -5*j - t + 127 = -0*j. Calculate the remainder when j is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5411 + -5433. Put 0, 2\/17, p in decreasing order.\nAnswer: 2\/17, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/7 - 648*c\/7 + 8208\/7.\nAnswer: -3*(c - 12)*(c + 228)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3444 = -6*y - 3*l, 15*l + 586 = y + 17*l. Solve -574*f - 24 = -y*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiqqiyi. Give prob of sequence iiy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -5 in descending order.\nAnswer: 5, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 9, w: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18832633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 34\/137711?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 75 + 221)*(-2 + 3 + 0)*(-3*d**2 + 3*d**2 + d**3)*(-4 + 3 + 3)*(10 - 28 + 10).\nAnswer: -2176*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (sqrt(10) - sqrt(40)\/(sqrt(4) + (sqrt(4) - sqrt(16)) - sqrt(4)))) + sqrt(10))\/(sqrt(6)\/(-1*sqrt(3))) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -520 - -1553\/3. Put -4, -2\/13, w in decreasing order.\nAnswer: -2\/13, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-9)\/v*v))**(-9\/7)*v**(-2\/29)\/(v*v**(-22)) assuming v is positive.\nAnswer: v**(1639\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t + 3. What are the prime factors of b(-27)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10998 and 3420573.\nAnswer: 964601586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(0 - ((-2)\/(-2) - 3)). Suppose -4*x - 2*k + 4*k + 32 = r, -x = -4*k - 8. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4478628 and 53\/147?\nAnswer: 31350396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, u: 8}. What is prob of sequence aau?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 - 9*c + 7. Let a be p(6). Suppose a = 3*q + 2*f, -f = 3*q - 2*f - 100. Suppose z - q = 116. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + -13 - 46 - (-5 + 84).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453 - 18*z**2 - 896 + 442 + 16*z**2.\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -4*(sqrt(77) + sqrt(77)*1))\/((sqrt(11) + (sqrt(11) - sqrt(55)\/sqrt(5)))*6) + 2 + sqrt(63)\/sqrt(9) + sqrt(21)\/(sqrt(3)*2))**2.\nAnswer: 4*sqrt(7)\/3 + 43\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56292524?\nAnswer: 2, 14073131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8 + 3*k**2 + 11 - 3. Let t(g) = -74*g. Calculate r(t(c)).\nAnswer: 16428*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 19*i**3 + 5*i**2 + 5. Let s(v) = 18*v**3 + 6*v**2 + 6. Let y = 587 - 592. What is y*s(x) + 6*q(x)?\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/49, 5, 2\/7, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 36*o**2 - 124*o - 233. Let h be z(-39). What is the greatest common divisor of h and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/(-18) + 32\/48.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/12 + 24\/32)*-2. Suppose 0 = -w*t + 2*t + 510. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (3 - 276\/(-48)))*(4 + 1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 79 (b) 1\/3 (c) 4 (d) -1 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1110242, -2220911, -3331580, -4442249, -5552918, -6663587?\n\"Answer: -1110669*h + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 252*x - 3\/2*x**3 - 45\/2*x**2 + 3822.\nAnswer: -3*(x - 13)*(x + 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 5*j + 10. Let w be x(-3). Suppose 3*t = 5*t - 2*r - 8, 3*t - w = r. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f + 2. Suppose 4*u - f*p = -u + 22, 5*p - 15 = -5*u. Suppose -u*z + 158 = -30. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*n**3 + 58*n**3 + 46*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415460, -415435, -415392, -415331, -415252?\nAnswer: -415155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37\/210 + 1\/30. What is the third biggest value in -0.1, s, 0.15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2803 divided by 40.\nAnswer: -2803\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 3*r**2 - 6*r + 21. Let i be n(3). Suppose 3*x = 4*l + 3, -3*x + 0*x - 2*l + 3 = 0. Sort i, 5, x, -5 in increasing order.\nAnswer: -5, x, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = d. Let p = 1\/13 + -22\/117. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90555 + 432293\/5. Is -4095 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 946 and 220.\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 3213.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 7. What is the tens digit of 144\/(-60)*40\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-0.63.\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -78*h - 61*h - 53*h - 5. Suppose 2*u - 6*f = -4*f - 8, -4*u - f = 6. Is s(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) 1\/4 (b) 0.03 (c) 23 (d) -5 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(-9 + 85\/51) + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 15 - 4)*(f**3 + 0*f**3 + 2*f + 4*f)*(0 + 3 - 1) in the form l*f**2 + k*f**3 + q + d*f and give d.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -32*v - 81. Let c(l) = -4*l - 10. Let a(i) = 51*c(i) - 6*m(i). Let u be a(-6). Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 9 = 0, 0 = -3*n + f + 3. Let a be (-484)\/(-6) - (-2)\/(-3). Suppose -n*t + a = 3*t. What is the remainder when t is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -335, -331, -325, -317, -307, -295?\n\"Answer: o**2 + o - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 653*m - 661*m. Solve -z = 5*w - 18, 4*w - m*z - 3 = z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -111?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -x + 18, -4*x = 3*v - 2 - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 56. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 9*r - 16. Solve -2*y + r = 4*h - 10, -3*y + 13 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5506, -5440, -5350, -5248, -5146, -5056, -4990, -4960?\nAnswer: -4978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -129*w**3 + 52*w**4 - 24*w**4 - 55*w**4 + 30*w**2 = 0.\nAnswer: -5, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 3, -135, 27 in descending order.\nAnswer: 27, 4, 3, -9, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(-27)\/45 + (-2 - -1). Let v(q) be the first derivative of 0*q**k - 1\/4*q**4 - 5*q - 4\/3*q**3 - 4. Calculate v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 + 19 + 3 - 16*i**4 + 2*i + i**3 - 10*i**4 wrt i?\nAnswer: -312*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537563 to the power of 1\/2, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*d + 1617 = 0, 5*d + 2030 = 6*r - r. Does 60 divide (-3)\/(-2)*-3*(-86400)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 19*y - 5729. Let h = 539 - y. What are the prime factors of h?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t - 1. Let m be g(-2). Let j = -10 - -8. Let s be m*15\/(-12)*j\/(-5). Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 922324 and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + ((-2)\/2 - 2). Let z be 0\/(4*6\/8). Suppose 8*h - 3*h + 15 = z. Which is greater: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215974477 and 1649.\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 3*w. Let i(p) = -4*p**3 - 2*p**2 - 2. Let o be i(w). Let l(d) = 7*d - 1. Let h be l(8). What is the highest common factor of h and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 516 + -2. Let a = 1450 - u. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2468\/7 - -346. Let k = -400\/63 - u. Let j = -0.1 + 0.1. Which is the nearest to j? (a) 2 (b) 3\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/66 (b) 0.2 (c) 177 (d) -4 (e) 0.026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*z + 160941 = 0, -2*y = 3*z + 15205 - 95662. What are the prime factors of y?\nAnswer: 3, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -781\/356 or -2?\nAnswer: -781\/356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose m = q - 0*q. Let o = q + 5. Solve -18 = 2*d + 2*w, -o*d - 5*w - 41 = -w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m + 2921 = -179*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19632 times 5.3\nAnswer: -104049.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-443 - 467 - 113)*((3*u**3 + 3*u**3 - 4*u**3)*(2 + 0 - 1) + 6*u**2 - 6*u**3 - 4*u**2 - 4*u**2).\nAnswer: 4092*u**3 + 2046*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*l**4 + 16*l**2 - 15371*l wrt l?\nAnswer: -216*l**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/300 - c**4\/60 - c**3\/10 - 4*c**2. Let l(p) = 0. Calculate p.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-60) + 386\/(-8) + 0. Let c = -104 - -149. Let i = l + c. Let r(v) = -v**3 - 4*v**2 + 2*v + 4. What is r(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Let g = -24 + 38. Calculate the common denominator of -65\/16 and g\/20*(-110)\/p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -847, -1694, -2539, -3382, -4223?\n\"Answer: s**2 - 850*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093.23nm in kilometers?\nAnswer: 0.00000000609323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 36*t**2 + 3555*t - 10305. Give j(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 27*n**2 + 30*n - 52. Let q be t(28). Let g(i) = -i**2 + 2*i - 3. Let k be g(q). Sort k, 3, 0 in descending order.\nAnswer: 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 389587126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -62. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k + 3*x + 23 = 0, 0 = 2*x + 2. Suppose 0 = 3*q + 2*q - 2*a - 111, -4*q + 84 = -k*a. What is the remainder when q is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -282.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 0*x - u + 8, 0 = -2*x + u - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 7 - 1 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26724125 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*b - 92 = 0, -3*l - 115 - 145 = b. Let n = 41 - l. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.585167 kilograms?\nAnswer: 3585167000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5679096 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6397652.\nAnswer: 2, 1599413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)\/y)\/y**(3\/10)*(y**(-1\/4)*y*y)\/(y\/(y\/y**(-2))))**(-44) assuming y is positive.\nAnswer: y**(341\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2156589385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 748*a*k**3*x - 2*a*k**2*x + a*k**2 - 7*a*k wrt k.\nAnswer: 4488*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 26, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6 + 5 + 9*z + 0 - 1 + 12*z. Calculate w(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8946)\/630)\/(1\/(-5))*(0 - -1). Solve -77*p + i*p = -42 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 32985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-87)\/(-15))\/(26\/65). Suppose 14*m - p*m = -15. Let u(k) = 66160*k**3 + k**2 - 3*k - 10. Let i be u(m). Round i to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 331, 472, 615?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = -45. Let l be (-2172)\/(-54) + 2\/u. Let f = l - 26. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w + 117. Let x be q(0). Let k be (-2)\/(-5) - 126\/(-10). Calculate the highest common divisor of k and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 163 + 6683. Let r = f - 1159. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43467588 <= 43467590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c - 9 - 28 = 0. Calculate the remainder when 49 is divided by -1 + 18 + 3 + c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757493 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let r(f) = -242840*f. Calculate i(r(u)).\nAnswer: -485680*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*o - 13 + 13)*(-1 - 1 + 0 + (1 + 1 - 1)*(3 + 1 - 5)) to the form k + y*o and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g + 28. Let h be u(10). Let d = -2 - h. Solve 12 + d = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16030 + -57.\nAnswer: 15973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 7. Let a be k*9\/(-3)*1. Let i = 7 + 2. Solve y - i = -0*o - 2*o, 0 = a*o - 3*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 l when four letters picked without replacement from {e: 2, l: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**(-20))**(8\/5)\/((k**3\/(k\/((k\/k**(-1))\/k*k)))\/(k\/k**(1\/4)*k*k\/((k\/k**(-4))\/k)*k)) assuming k is positive.\nAnswer: k**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 7*t - 76 = 0. Let s = 21 + t. Suppose 5*d = -s*q, 4*d + 18 = q + q. Solve q*w - 4*u = -0*u - 13, -2*w = 5*u - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o*o*o**(-2\/23)*o)**2 assuming o is positive.\nAnswer: o**(272\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793701 is divided by 264319.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 17738930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -954 by -6.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/5310473 and -38\/1029.\nAnswer: 111519933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4649261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 135*y**2 + 360*y.\nAnswer: 5*y*(y + 3)*(y + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + (-272)\/(-51). What is the second derivative of -37*v + 33*v**u + 4040*v**2 - 4040*v**2 wrt v?\nAnswer: 660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/5)\/k)\/(((k*k*k**10)\/k)\/k)*k*(k**(2\/9)*k)\/k*(k**(-3\/2)\/k*k)\/k assuming k is positive.\nAnswer: k**(-997\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 0.4 (c) 825\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.183801563 to two dps.\nAnswer: -5.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8613, -8614, -8615, -8616, -8617?\n\"Answer: -b - 8612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n = -42*n - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030\/585 - (-50)\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 22*b**3\/3 + 15. Let u(w) = 2*w**2. Give u(s(m)).\nAnswer: 968*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -9. Suppose d = -5*r + 111 + 14. Suppose -35 = -3*x + r. Solve 2*a + 3*a = x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038593703.\nAnswer: 3, 7, 73, 281, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316 + 155 + 3*w**2 + 161.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:32 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 c when three letters picked without replacement from mcsmscccsmqsssccm.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1610 + 1607. Let r = 15.4 - 16. Put r, y, 1\/4 in descending order.\nAnswer: 1\/4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 5334*n**2\/5 - 107101*n\/5 - 112434\/5.\nAnswer: (n - 21)*(n + 1)*(n + 5354)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -238 - -242. Which is the biggest value? (a) r (b) 5 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128524412 divided by 32131103?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 - 4*b + 17*b - 12*b - 3.\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6090 = -4*v + 3*v. Let o = -2710 - v. Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5718337\nAnswer: -4\/5718337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -2, 1116 in decreasing order.\nAnswer: 1116, 54, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 22.901\nAnswer: -23.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4))**(-36))**(3\/25)\/(x**(-2\/3)*x**(-1))**(-1\/59) assuming x is positive.\nAnswer: x**(4654\/4425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 2, 0.03, 19, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 1 (b) -1\/6 (c) 0.4 (d) -0.072\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 2*h. Let r = 80 - 73. Let i(q) = q**2 - q. Let g(x) = 12*x**2 - 12*x. Let t(p) = g(p) - 16*i(p). Give r*y(k) + 4*t(k).\nAnswer: -2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405)*2 + 2)*5 - (-2 + -1 + sqrt(405) + 2))*-5)**2.\nAnswer: 44550*sqrt(5) + 823150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*a - 4*l, a + 4*a - 25 = 3*l. Suppose 2*g + 3*i - 3599997 = 0, -a*i = -3*g - 0*i + 5400005. What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1002649*b**3*z - 5*b**3 + b**2 - 4485*b - 5 wrt z?\nAnswer: -1002649*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -464 - 22?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/6)\/((655\/(-1179))\/((-12)\/(-2)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31475.95ml to litres.\nAnswer: 31.47595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and ((-6)\/8)\/((-1)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*((3 - 5 + 3)*(-2 + 5 - 4) + 1 - 2 + 2 + 16 + 36 - 18)*(0*w**2 - 5*w**2 + 6*w**2).\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 6*m - 4*m - 2*m - m**2 + 1 to w*m + q*m**2 + t and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Suppose 0*w + 5*w = -5*u + 20, -k*u = -4*w - 2. Suppose 0 = -2*m + 3*q - w, 0*m - 4*q + 6 = -2*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9698 + 9698.0000053865. Round l to seven dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from vvvvvkkvvvvkvv.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**2 + 11 - m**6 - 11 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)*r**(-2\/31)\/r*(r**(2\/7)*r)**5 assuming r is positive.\nAnswer: r**(947\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.28, 7, -0.5, 0.5 in increasing order.\nAnswer: -0.5, 0.5, 7, 15.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q - 5. Let t(d) = 4*d - 2. Suppose 2*j - 4 = -2*r, r = -4*j - 5 - 2. Let z(n) = r*t(n) - 2*v(n). Let m(s) = 6*s**2. Give m(z(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 4:44 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/6 + j. Let w(a) = a - 4. Let y be w(7). Let t(h) = y*h**2 - 11 + 11. Determine t(q(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083 = -72*n + 277 - 352 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1\/2))\/b)\/b)**(-3\/43)*(b**(2\/3))**(18\/13) assuming b is positive.\nAnswer: b**(1071\/1118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -7*y + 100, 4*v + 69*y - 236 = 64*y. Solve 71*c + v = 79*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g - g + 0*g + (-g - 3*g + 6*g)*(4 - 1 - 2) + (0*g - 3*g + g)*(2 - 3 + 3).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r = -4*l - 340, -2*r = -5*l - 422. Let h = 250 + l. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9410301*m**3 + 17297589 wrt m?\nAnswer: -28230903*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 at most as big as 47162\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -62588211 and -62588212 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 - -737. Suppose w*p + 2799 = 576*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9449 is divided by 2242?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182979564*o**2*s**2 - 76141*o**2*s + 15*o**2 - s wrt s.\nAnswer: 365959128*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*(i\/(i\/((i*i**(-3\/2))\/i)*i))\/i*i)*i**4)\/(i*(i**(-3)\/i)\/i*i**0))**(4\/9) assuming i is positive.\nAnswer: i**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432221310 (base 5) in base 11?\nAnswer: 2158775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4706 - -5255. Calculate the greatest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 13) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1173 and 40?\nAnswer: 46920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/11)*f\/(f*f*f*f**(-1\/5)\/f)*(f\/(f*f*f*f**(-2\/3)))\/(f\/(f\/(f**8\/f)*f)*f))**(-32))**(-34) assuming f is positive.\nAnswer: f**(-1606976\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:04 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.17 + 15.2. Round l to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23643 (base 11) to base 13\nAnswer: -12661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 1 + p + 17. Let h be ((-30)\/12)\/(5\/(-12)). Is m(h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - q - 39, -q = 5*r + 3*q + 199. Let s = 107 + r. Suppose s = 4*x - 56. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1076, 2931, 6312, 11981, 20700, 33231?\n\"Answer: 127*m**3 + m**2 + 963*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 11. What is q(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2123, -8508, -19153, -34058, -53223?\nAnswer: -76648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 5*y + 7*y - 7*y - 5*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u. Let d be (3\/6)\/((-2)\/12). Let p be -2 + 0 - (d - 0). Let b be i(p). Solve -c = -b - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-2171)\/9352 + 1*(-5)\/8)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23516?\nAnswer: 2, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 15 + -7 + 1 + 12 - -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -24, -50, -86?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439639.757 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -29.1. Let u = z - -18.1. Let d = u - 19.8. What is d rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47836 is divided by 23892?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -92.4197 and -230.\nAnswer: -322.4197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -209*o**2 + 6297*o - 36996. Determine b(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -222266524, -444533048, -666799572, -889066096, -1111332620, -1333599144?\n\"Answer: -222266524*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.057 - -25.057. Let t = g + -25.7. Which is greater: -1\/4 or t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = q - 5*j, -4*q - 4*j - 16 = 4. What is the third smallest value in 0.1, -1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 273 (b) 5 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -36.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015703915?\nAnswer: 3, 5, 347, 387263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/264 + 41*(-2)\/(-16). Solve z - 9 = 2*v + 5, f*z - 15 = -v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:11 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9807 and 1796046.\nAnswer: 838753482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + 10011?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((-8)\/16)\/((-3)\/(-6)). Let m(x) = 21*x**2 - 13*x**2 - 2*x**2 - 8*x**w. Let z(p) = -9*p**2 + 12*p**2 - 22*p**2. Determine z(m(c)).\nAnswer: -76*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11 = -7. Suppose 0 = -j*g - 2*g + g. Suppose g = -7*u - 2 + 156. Calculate the least common multiple of u and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375277425.\nAnswer: 5, 79, 696343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7856*x + 416679. What is t(-53)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 154\/(-10) - (-4)\/10. Let l be (-189)\/v - (-2)\/5. Suppose -3 + l = 2*q. Solve 0 = q*j + 24 - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 3*n - 7. Give p(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q\/q**(-18))*q*q*q**1*((q\/(q\/q**(-8)))\/q*q*q)**23 assuming q is positive.\nAnswer: q**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -139. Let n be (-1)\/(((-4)\/(-1))\/r). Suppose 4*q - q = t + 7, 5*t = -q + n. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1741*l**3 - l + 110 wrt l.\nAnswer: -10446*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/82203 and -137\/228.\nAnswer: 6247428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7054413 is divided by 56433?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -4*i + 5*i. Let s = i + -94. Determine h, given that -7\/4*h + 1\/2*h**4 - 2*h**2 + 1\/4*h**s - 1\/2 - 1\/2*h**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/32 and -103\/368?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 108+3707.58\nAnswer: 3815.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(75)*-6 + sqrt(75)))**2 + 5.\nAnswer: 1428305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5906, 5904, 5902, 5900?\nAnswer: 5898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -303167*x**2 - 4861052.\nAnswer: -606334*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.34, 0.3, 1\/4, 1729.7, -0.3?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -860 + 154345295.\nAnswer: 154344435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 + -1 - (-15 - -14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -37, -38, -39?\n\"Answer: -u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331725266 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (0 + -4 + 2 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106158 and 146952?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 211 - 144 = 19*l + 126 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14*d + 5. Let a(n) = 5*n + 1. Let l be 24*2\/18*(-10 + 13). Let o(u) = l*a(u) - 3*j(u). Give o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57185008?\nAnswer: 2, 17, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 9 + 1)*(64*s + 51 - 51) + 0 + 0 - 2*s + (4 - 4 + 2*s)*(-3 + 0 + 1) to the form a*s + p and give a.\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w. Let t(l) = l. Let p(c) = -2*b(c) + 6*t(c). Let y(s) = -8*s**2. Give p(y(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6627810 and 89565.\nAnswer: 6627810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -9. Suppose -712*w + 727*w - 75 = 0. What is the remainder when j is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 158*k - 155*k + 2, 0 = 2*m + 39*k - 62 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10043, -10078, -10113, -10148?\nAnswer: -10183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(490))\/((sqrt(5) + sqrt(90)\/sqrt(2) - sqrt(5)) + sqrt(5)) + 3*(sqrt(2048) + -1)**2.\nAnswer: -391*sqrt(2)\/2 + 6147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let j(n) = 8*n**2 + n + 1. Let h be j(w). What is the tens digit of (7 - h)\/((-4)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let y(v) = -8*v**2 + 442*v - 2. Calculate y(j(m)).\nAnswer: -8*m**2 - 442*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -22 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -905 - -1299. Does 29 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t*t*(t\/(t*(t*t\/(t\/t**2))\/t))\/t))\/t*t*t)*((t**7\/t)\/t)\/t)\/(t**(4\/7)\/(t**5\/t*t))*(t**(-1\/9)*t*t**1)\/(t**(-7)\/t**(6\/11)) assuming t is positive.\nAnswer: t**(10993\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6852 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44390811 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 13*j**2 - 13*j + 6. Let t be 1\/3 + (-70)\/(-6). Calculate p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68313542473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 114. Let i = p + -60. What is the third biggest value in i, 0.06, -1\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 3 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 405\/900*(10\/6 - 1). Sort -2\/5, z, -1\/27 in increasing order.\nAnswer: -2\/5, -1\/27, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1439*(-2)\/22 + 16\/(-88). Sort -1\/9, -0.1, r in ascending order.\nAnswer: r, -1\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2950660*w + 5587030?\nAnswer: 2950660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.6366489 seconds to hours.\nAnswer: 0.00101018025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 27*g - 89. Let t be r(22). Solve -11 = -2*i - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8274, -16546, -24818?\n\"Answer: -8272*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24231, -48709, -73187, -97665, -122143?\nAnswer: -146621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68963 is divided by 68945?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 25*l**2 + 16*l + 263. Let n be a(26). Suppose 8 = -0*m + 2*m - 4*f, f = n*m - 32. Solve 2*x = 4*j + m, -3 = 2*j - 3*x + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*a**2 + 12*a**2 + 0*a**2 - 226*a**3 + 43*a**3 - 220*a + 7*a**2 wrt a.\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g - 3. Solve 4*k = g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k = 132. Let y be 3 + 1 + (1 - 2). Let n be -1 - (y + k\/(-9)). Which is the biggest value? (a) n (b) 1\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = u + 5*y, -27 = -2*u + 2*y + 5. Differentiate -2*r + 29 - 3*r**3 - 14*r**3 + u*r**3 with respect to r.\nAnswer: 12*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2565, -5568, -9001, -12870, -17181, -21940, -27153, -32826?\n\"Answer: -x**3 - 209*x**2 - 2369*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6304613, -25218471, -56741573, -100873925, -157615533, -226966403, -308926541?\nAnswer: -403495953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 294, -52\/73 in decreasing order.\nAnswer: 294, -52\/73, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*v**3 - 3*o*v + o - 2*v**3 + 62*v**2 wrt v.\nAnswer: 6*o*v - 12*v + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 2*c**2 - 7*c**2)*(64*c**2 + 18*c**3 - 64*c**2).\nAnswer: -90*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-28)\/z)\/z**(-25))**(-1) assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from xcwxxxsxcc.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 11:37 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/2 + (-7)\/2 + 1. Calculate the highest common factor of 320 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1573 - -2.4644\nAnswer: -1570.5356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(1100) - sqrt(1100)*-1*-4) + -5*((2 + sqrt(11))*2*3)**2).\nAnswer: 1500*sqrt(11) + 5398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 1, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 182754 + 182754.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 8447145.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1029)\/147 + 23\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5361 + -5356. Solve z - 39 = o*f - 40, -3*z = 5*f + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 4*t**2 + 1. Let u be o(4). Suppose -h = 3*r + 10, 4*r + 20 = -4*h + 4. Which is the third biggest value? (a) r (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-1 + -1) + 28. Let y be ((-24)\/h)\/((-2)\/(-35)). Let z = y - -13. Sort z, -4, 5 in increasing order.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 0*l**2 + 14*l + l**2 - 3 - 12*l + 1. Suppose 10*j = 13*j + 3. Let h be 2\/(-8) + 14\/(-8). Let z(n) = -n**2 - n + 1. Determine h*z(a) + j*s(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*u - 3*g + 96 = -350*u, u + 379 = -5*g + 375 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**3 + 174*h**2 - 351*h - 891. Suppose g(x) = 0. Calculate x.\nAnswer: -117, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:46 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (16 - (-13 - -17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.12 - -125.12. Which is the third smallest value? (a) -5 (b) -0.4 (c) w (d) -2\/3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/2 + 29*z\/2 + 48 = 0.\nAnswer: -3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 13\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 78\/(-6) + (-56)\/(-7). Let l(o) = -o**2 - 6*o + 2. Let h be l(-6). Sort -8, b, h in descending order.\nAnswer: h, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 195, 516, 975, 1578, 2331, 3240?\nAnswer: 4311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 7*h + 5. Let m(k) = k**2 - 6*k + 4. Let p(s) = 6*m(s) - 5*w(s). Let r(z) = -5*z**2. Let y(o) = 4*p(o) - 3*r(o). Factor y(b).\nAnswer: -(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4152 and -17\/4152.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 <= 315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 4*f**4\/3 - 7*f**3\/6 + 2*f - 16. Let h(p) be the first derivative of c(p). What is the second derivative of h(j) wrt j?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8120)\/14210*-2*2\/8.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, -0.7, -19, 4, 2\/3, 3\/29?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11625 - 72?\nAnswer: -11717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e4 - -abe7e?\nAnswer: ac273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {i: 1, c: 2, w: 2, t: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siysoyseysy. What is prob of sequence io?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -2*i + 3*f, -2*f + 199 = -4*i + 177 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 + -189. Let x be -2*(-6)\/(6\/3). Suppose -j - 2*h - 15 = 2*h, 3*j + x = h. Are t and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in 2\/17, 1\/5, 5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m - 27. Let f be t(6). Let k(b) = -b**3 + 3*b**2 + 2*b + 1. What is k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1035.6\nAnswer: -310.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {f: 2, r: 11, h: 7}?\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660663 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/4, -25\/7, 4\/9.\nAnswer: -25\/7, -0.5, -1\/4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37205 divided by -7441.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9849)\/(-3752)*4\/14)\/((-2)\/72).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + 5*b**5 - 3*b**5 + (7*b**2 + 25*b**2 - 8*b**2)*(-2 + 2 + 2*b**3) - 5*b**4 + 51*b**5 + 19*b**2 - 54*b**5 + 4*b**4.\nAnswer: 47*b**5 - b**4 + 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10539402 and 3513134.\nAnswer: 10539402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 17*u**2 + 5*u - 3. Let s(i) = 7*i**3 - 66*i**2 - 21*i + 10. Give 3*s(c) + 11*y(c).\nAnswer: -c**3 - 11*c**2 - 8*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2411 + 26.\nAnswer: -2385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:33 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 312 + 2213 = -2*v, -5*v + 3185 = 5*f. Suppose 0 = 17*j + f + 402. Is j <= -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 55905 (b) -2\/39 (c) 76\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 16 + c + (2 - 2 + 2*c)*(-4 + 6 - 4) + 0*c + 5*c + c - 2*c + 0 + 0)*(-1 - 3 + 3) as h*c + x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25976 - 25972. Suppose 0 = -3*l + 8*l. What is the biggest value in l, r, -0.4, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 + 0)*(1 + x - 1) - x - x + x)*(12*x + 4*x - 7*x) in the form d + l*x**2 + v*x and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/7780 and -23\/10.\nAnswer: 7780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**5 + 4*q**5 - 7*q**5)*(4 - 1 - 1) - 3*q**5 + 4*q**5 - 3*q**5 + 2*q**5 + 2*q**5 - 2*q**5 + 3*q - 3*q + 3*q**5.\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = 86*x + 586 + 7 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 18, n: 2}. Give prob of picking 3 i.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -10. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25136 - 22718. What is the greatest common factor of 143 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 768, 1509, 2260, 3027, 3816, 4633?\nAnswer: 5484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -119. Suppose 9*u = 4*u - 130. Let k = u + d. Calculate the smallest common multiple of k and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3*a + 70 - 22, o + a = 9. Let i be (-1)\/3 + (-100)\/(-3). Suppose 0 = -2*s - i + 89. Calculate the greatest common factor of o and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/21)\/5*36\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*p**2 + 68*p**2 - 388*p**2.\nAnswer: -550*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 59.9661 days?\nAnswer: 5181071040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n = 2*n + 25*n + 48 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 969215 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.63 + -14. Let p = -0.17 - b. What is the second biggest value in -1, -3, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 228988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1261)\/195*10\/4 and -97\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 579419 by -1.\nAnswer: -579419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, -1, 7, -332467, 0 in decreasing order.\nAnswer: 7, 4, 2, 0, -1, -2, -332467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2229 + 36?\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 3*t**2 - 4*t - 2 - 6*t - 8*t**2. Let j(a) = -13 - 7 + 7*a + 38 - 11. Calculate -7*j(y) - 5*x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*i - i**4 + 19*i**2 - 3 + 19*i**2 + 0*i**4 - 39*i**2 to the form j*i**3 + h*i**2 + t*i + l*i**4 + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9499 and 322.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -133*x + 7274. Calculate y(47).\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*f = -21, 5*o - 2*f - 30 = 2*f. Solve -2\/3*k - 2*k**3 + 0 - o*k**2 - 2\/3*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2 + (-27)\/(-15)). Let t = 3.41 - 3.5. Let z = 0.21 - t. What is the second biggest value in r, 33, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1921231806?\nAnswer: 2, 3, 13, 1163, 21179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 105*j**3 + 4*j**2 - 5*j + 5. Let q = 159 + -157. Is f(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - w + w + (2*w - 1 + 1)*(2*w + 7*w - 4*w) - 4*w**2 + 2*w + 0*w + 5*w**2.\nAnswer: 9*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(1\/3))\/y)\/y**6*y**(2\/17)*y\/((y\/(y\/y**7))\/y)*y assuming y is positive.\nAnswer: y**(-436\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 2. Let q be b(4). Suppose -102*o - 90 = -107*o. Solve o*f + 4 = q*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 5 + 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16 = 8. Solve -i - i + b = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.67 + -77. Let v = t + -1.67. Which is the closest to 1? (a) v (b) 6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 73*g + 5. Let m(o) = 75*o + 4. What is 3*l(p) - 4*m(p)?\nAnswer: -81*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/(-2))\/((1360\/440)\/(-34))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*v**2 + 2 + 130*v**2 - 1.\nAnswer: 17*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 + 4*i**2 - 4. Suppose -56*f + 54 = -38*f. Let p(d) = -d**2 - 3*d - 2. Let c be p(f). Let q(x) = x**3 - x**2 + 1. Give c*q(m) - 5*n(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38988 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 1316 = 1306 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d**2 - 8*d + 10. Determine w(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-7)\/(-2) - (-14)\/4. Suppose -3*h = 2*o - 38, 23 = -4*o + x. What is the highest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x**3 + 2*x)*(-10 + 15 + 24*x - 4).\nAnswer: 24*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 14. What are the prime factors of j\/2 + 536\/16?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -32*t**5\/5 - 6206*t**4\/5 - 308252*t**3\/5 - 2804134*t**2\/5 + 65802704*t\/5 - 820328 = 0.\nAnswer: -122, -41, 1\/16, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 16*b**2. Let u(s) = -5*s**2. Let g = -12 - -6. Let d(f) be the second derivative of -f**4\/3 - 6*f + 2. Let n(l) = g*d(l) + 5*u(l). Determine p(n(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92\/21 - 33\/7. Let p = -4.9694 - -2.9694. Sort b, 0.062, p.\nAnswer: p, b, 0.062","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -4*v**3\/3 + v. Suppose i + 5*b = 27, -i + 5*b = -3*i + 44. Let h(l) = i*l - 15*l + 5*l. What is d(h(c))?\nAnswer: -56*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18149 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1751219564014195 and 0.5.\nAnswer: 1751219564014195.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12731890 to the nearest integer?\nAnswer: 3568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:18 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 4\/5 (c) 0.2 (d) 819\/17 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*s + 145*s = 5*h + 90, s + h = -28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 14 - y**3 - 41.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/30 and 71\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 6:14 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*a - 5)*(-2 - 23*a + 25*a + 0)*(-5*a + 2*a + a + (-1 - 1 + 1)*(-4*a + 2*a + 0*a) + a - 2*a + 0*a) as k + x*a + l*a**3 + w*a**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*d + 1240 = -363*d - 337*d - 147*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4))\/((-12)\/48). Let n(q) = -7*q. Determine n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 83136 and 83124 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3558 and 6.\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 74 * 7\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4194\/11 or 380?\nAnswer: 4194\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 + (-9)\/(54\/(-12)). Suppose 198 = 5*g + k*n, -3*n = -2*g - 2*g + 163. Let a = 43 - g. Solve -3*d = -0*d - a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1492 (b) 4\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -11*t**3 + t**2 + 10*t + 9. Let z be i(-1). Let c be -2 - z\/((-77)\/14). Let f be (-2)\/(-6) - 23\/(-3). Solve 2*b - f = -c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 769756 or 769801?\nAnswer: 769756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12608992 and 114356?\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 6*m**2 + 2*m**2 - 25*m**2.\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-67080)\/(-12298))\/((42\/(-11))\/3).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.779 and -21007 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010000111 (base 2) to base 6.\nAnswer: 111143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:30 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 31714*j - 126888.\nAnswer: 2*(j - 4)*(j + 15861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -2 (c) -12 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r + 93. Let j be m(-18). Suppose -3*s + 37 - 7 = 0. Let w be (3\/(-75))\/(4\/s). Put j, w, 5 in ascending order.\nAnswer: w, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 2 k when four letters picked without replacement from kzkzkktzyzzu.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 168760 (base 13) in base 6?\nAnswer: 20011304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.22 - 0.78. Let g = -4 + 4.1. Let h = -5 - -8. What is the smallest value in b, h, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4810 + 4810 + 33*t**3.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -150, -330, -582, -906, -1302, -1770?\n\"Answer: -36*r**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 0 + 186*h + 210*h to the form t*h + v and give t.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -1127*s**4\/2 - 2*s**3 + s**2\/2 + 27*s - 2915. What is the third derivative of p(i) wrt i?\nAnswer: -13524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**9*u)\/(u*u\/(u\/(u*u*u\/(u*(u\/((u**3*u)\/u))\/u)))))\/(u**8\/u**(3\/2)))**(42\/5))**(1\/37) assuming u is positive.\nAnswer: u**(-21\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 315270512 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 2*r - 1. Suppose 0 = 2*y - 2*x - 14, y + x + 0 = -1. Suppose -3*q + 3 = -y. Calculate j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6 + 6. Suppose 3*u = -3*z - k, -3*z = -z + 4*u + 14. What is the second derivative of 0*o - 4*o + z*o**5 - o**5 wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-55))\/((-73)\/(-803))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**3*k + 3*b**3 - 15*b**2*k - 17*k - 7 wrt b.\nAnswer: -9*b**2*k + 9*b**2 - 30*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3*104\/864*-14?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Suppose 2*y = 3*y + t. Does 2 divide (-4)\/y*(-6)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 + c**2 - 1. Let i(q) = -q**2 - 41*q + 39. Let t be i(-42). Let s(u) = -9*u**3 + u**2 - 1. Calculate t*s(z) + 5*w(z).\nAnswer: 2*z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001338 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (74\/6)\/(3\/(-9)). Let r = 110 + g. Calculate the remainder when r is divided by (20 + 7 + -9)\/1 + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)*-2)\/sqrt(10)*3)\/(sqrt(192)*-6))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -172*d**3 - 4 - 4791*d + 2 + 4790*d in the form h*d**2 + s*d + b*d**3 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*p**3 - 612*p**2 + 300*p**2 + 312*p**2.\nAnswer: -87*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 312. Let n = -163 - -175. Calculate the highest common factor of n and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7*h + 15 = 0. Suppose 7*y - 2*g = 3*y + 6, 3*y + 6 = h*g. Put y, 4, -4 in descending order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 8*t**2 - 10*t - 7. Let k be h(-9). Suppose 0 = -i + 2*i - k. Let w(g) = -15*g + 3 + 2*g + 6*g + g**i. What is w(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315086023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**3 - 4*n**2 - 3*n - 9. What is a(-4)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.3 (c) -1\/9 (d) -1207 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 + 120.3. Let c = z - 124. What is the nearest to 1 in c, -1, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - -0.05. Let o = -45 - -48. What is the third biggest value in -2, m, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517924 divided by 316.\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/5 - (-2)\/(-5) is divided by 1 + (-4)\/12*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2014211916, -2014211917, -2014211920, -2014211925?\n\"Answer: -s**2 + 2*s - 2014211917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -113639?\nAnswer: 64\/113639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 14}. Give prob of picking 3 d.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 14 - (1 + 0). Let t = a + -8. Solve t*f - 8 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from bbbnbnn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10*x + 68. Let l be u(15). Is l\/(-41) + (6430 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*t + 2, 3*s - 5*t - 1 = -0*t. Suppose w = -2*z - 12, -24 = 5*z - z + 3*w. Let i be -2 + 0 - s - z. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 11 = -3. Let c = 6 + s. Solve 8 = o + 4*p, 4*p = 2*o + c*p - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1888 and 1889 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, m: 5}. Give prob of sequence mkk.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 209.\nAnswer: -2, 4, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-1))\/(1\/(-3)). Let d(k) = -2*k + 6. Let w be d(4). Let o be ((-2)\/5)\/(w\/(-20)). Sort o, -1, u in increasing order.\nAnswer: o, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34533 - -10910. What is the greatest common factor of a and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6592482 - 5?\nAnswer: -6592487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -17, 2, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36763930.\nAnswer: 2, 5, 7, 525199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n**2 + 8*n + 47. Calculate the least common multiple of 3076 and j(2).\nAnswer: 21532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1065*v + 1036*v + 141578. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, r: 2, t: 2, n: 1, b: 3, g: 6}. What is prob of sequence brnt?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-1)\/t)*t*t)\/t)\/(t*(t**(-7)\/t)\/t)*t**1*t*t*t*t*t\/(t**(2\/5)\/t*t)*t*t)\/((t**(-1\/4)*t)\/t**6*(t*t**3\/t)\/(t\/t**(-1\/4)*t)) assuming t is positive.\nAnswer: t**(241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 34\/5, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6279 divide 2136090684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -a57?\nAnswer: -a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2850\/13 less than or equal to -218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357 greater than 10354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 65*f + 231. Let p be z(27). Calculate the highest common factor of p and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*j**2 - 11298*j + 3539164?\nAnswer: -138*j - 11298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + 2 - 2)*(-3*z**4 + z**4 + z**4) + 4*z**5 - 5*z**5 + 0*z**5)*(-2 - 4 + 1).\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 2*s - 4*s)*(-2 + 5 + 1) + (0 - 3 + 0)*(-9*s + 10*s - 30*s) as j*s + m and give j.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -902, -1808, -2714, -3620, -4526, -5432?\n\"Answer: -906*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 482\/3 - 3284\/21. Let d = -21685\/8 - -2702. Calculate the common denominator of d and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65751993 * 2.\nAnswer: 131503986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21216 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + 1 - 1)*(0 - 1 + 3) + 0 - g + 0 + 2 + 2*g - 2 + 2*g + g - g - g - 3*g + 2*g)*(-g + 1 - 1) + 25*g**2 + 6*g**2 - 15*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 87774.306 rounded to the nearest one thousand?\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 33, 73, 135, 225?\n\"Answer: q**3 + 2*q**2 + 11*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 11:38 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21086 - 20986. Which is the smallest value? (a) 4\/7 (b) 0 (c) 1\/5 (d) 0.5 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 916832 and 9208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 3*r + 0*r - 6*r in the form p*r + o and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 3. Let i(v) = v + 11. Let k be i(-8). Let y(p) = -6*p - 5. Calculate k*y(h) - 5*f(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31826 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11\/7 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 271642.66.\nAnswer: 814927.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Suppose 0 = 4*y - 3*t + 32 - 110, h*y - 44 = -t. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*c + 8665, -t - 5*c + c + 1724 = 0. What are the prime factors of t?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3)\/3*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - 3) + (9 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69683941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**5 + 17*n**3 - 3*n**2 - 24*n?\nAnswer: -240*n**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17923563 minus 894?\nAnswer: -17924457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = -102*b + 1395. Let r(w) = 2*w**2 - 8*w + 7. Let l be r(5). Suppose 0 = -18*h + l*h - b. Which is greater: h or -13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.7 from -5.499.\nAnswer: -7.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 11*f. Let t be z(11). Solve t = -5*o - 5*h + 40, -h - 10 - 2 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1381 - -1383. Solve 0*f**c + 0 + 0*f - 1\/2*f**3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20657539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 17*q**2 + 45*q + 43. What is a(-19)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*g - 102*g + 17*g + 0*g.\nAnswer: -197*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Let s = 164 - 252. Let j = 97 + s. Which is the closest to l? (a) j (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 5818946?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 58 = -34*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55010874.\nAnswer: 2, 3, 1559, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*y + 8 = -h, 4*h - y - 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**2 - 140*r - 328. Determine s(-12).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let g = -5 - -10. Suppose -g*q + 0*v = v + 7, 2*v + 3 = q. Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (2 - 6) + -1 + 5. Solve 5*k - 5*z - 8 = k, 0 = a*z + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/8 + 3 - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 4. Let i(g) = g**2 - 40*g - 3. Determine 2*b(f) + i(f).\nAnswer: -f**2 - 40*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 77559922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77198 litres in millilitres?\nAnswer: 771.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 7*n - 4. Let v be p(7). Suppose -4*h - 8 = 4. Put h, v, 1 in decreasing order.\nAnswer: 1, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 72 = 0, -4*l - 22*q + 36 = -24*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.925 * 0.3.\nAnswer: 1.7775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 7:05 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.464*-4\nAnswer: -1.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017274 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28524 + 251?\nAnswer: 28775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1235*a*h**3*q**2 + 22*a*h**2*q**3 + 2*a*h*q**3 + 40*a*q**3 + 2*a*q - 1503*h*q - 2*h wrt h?\nAnswer: 7410*a*h*q**2 + 44*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/4 + 2766*j**3 - 7236262*j**2 - 2292980808*j - 171805276036 = 0. Calculate j.\nAnswer: -146, 5678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2, -w + 2*z = 3*z + 50. Let p = -44 - w. Let j(r) = r - 6. Calculate j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m + 10*m = 37*m - 36. Let h(q) = -3*q + 7. Let i be 8\/(-4) + (1 - 0). Let j(u) = 1. What is i*h(t) + m*j(t)?\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - s**2 - 1. Let b be 6*2\/(-3) - -2. Let q(x) = -15*x**3 + 24*x**2 + 21. Let t(n) = b*q(n) - 42*y(n). Find the third derivative of t(p) wrt p.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1610*h**2 - 536*h**2 - 542*h**2 - 531*h**2 + 116*h**3 - 168 + 168.\nAnswer: 116*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:22 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-255) - 16\/570?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)*n**(1\/7))\/((n\/(n*n**0))\/n)**(2\/5)*(n**4\/n**(2\/7))**(-34) assuming n is positive.\nAnswer: n**(-4646\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3837823340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/129721 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18*-1819\nAnswer: -32742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 354392922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 - 36*f - 81*f**2 - 7*f**2.\nAnswer: -65*f**2 - 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 13*c + 21*c + 225. Let l(d) = -d**2 + 5*d - 4. Let h be l(3). Let o(x) = -3*x + 0*x**3 - h - x**3 - 3*x**2 - 2*x**2. Calculate o(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 125 = 11*c. Let x(p) = 193*p + 5 - 10*p**3 - c*p**2 - 372*p + 186*p. Let r(i) = -5*i**3 - 3*i**2 + 4*i + 3. What is -5*r(z) + 3*x(z)?\nAnswer: -5*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + (-269158)\/126. Let b = j + 2141. Let u = 1\/151 - -18261\/1510. Find the common denominator of b and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b251 - 5a?\nAnswer: -4b2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*y**2 + 28*g**3*y - g**3 + 2*g**2*y**2 - 906*g*y + 2*g + 14819*y**2 wrt y?\nAnswer: -2*g**3 + 4*g**2 + 29638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-21)\/(-2)) + (-3364)\/(-406). Solve -h = 3*w + w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -59*s**6\/60 - 7*s**5\/60 - 2*s**3\/3 - 120*s**2. Find the third derivative of n(p) wrt p.\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1442, -1418, -1358, -1244, -1058, -782, -398?\n\"Answer: 3*b**3 + 3*b - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-12) + (-1 - (-1)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 8:53 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1478, 5864, 13210, 23564, 36974, 53488, 73154?\nAnswer: 96020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3341, -3279, -3173, -3023, -2829?\n\"Answer: 22*y**2 - 4*y - 3359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -136.4? (a) 2\/13 (b) 131 (c) -6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/18*45\/150?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p - 6*p + 6*p + 4*p. What is the smallest common multiple of 6 and k(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38.7 < -21855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -824 - -798. Which is the third biggest value? (a) -0.1 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 7*c - 5. Calculate u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 30545?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 - 5*o + 37. Let s(x) = 3*x**2 - 2*x + 17. Let v(r) = 4*f(r) - 9*s(r). Determine v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -72 (b) -5 (c) -1 (d) 0.4 (e) 164 (f) 0 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 8619\/(-390)) + 11\/(-66)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21409*m**6 + 2*m**5 + 2*m**2 + 22876 wrt m.\nAnswer: 2569080*m**3 + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u)\/u**(-8)*u**12*u*u\/((u*u**(-6\/5))\/u) assuming u is positive.\nAnswer: u**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 - 23*d - 2. Let t be j(3). Let f(w) = 3 + 1 - 9*w**2 - 7*w - w**3 - 1. Determine f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 + -0.7. Let t = -36.8688 + 33.88. Let y = t + i. Round y to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2223 (base 4) to base 11.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2 - 2351*a - 14294.\nAnswer: 4*a - 2351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b784 (base 12) in base 11?\nAnswer: 56940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2a5 (base 12) to base 11\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 - 60 = 5*u. Calculate the greatest common factor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1777663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 176299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.5. Suppose 0 = -3*v + 2*i + 5 - 31, -4*i = 3*v + 2. Let o be v\/3 + (-8)\/(-12). Which is the smallest value? (a) o (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7590*x**5 + 99622*x.\nAnswer: -151800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70984.\nAnswer: 2, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*w + 36. Let o = 58 - w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/120*-4\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 0*x)*(-9857 - 12628 + 26679).\nAnswer: -8388*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/(-2)*(-200)\/12*500. Round a to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttiiii. What is prob of picking 1 t and 3 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79\/15 + -23\/5. Solve -10\/3*m + x - 143\/6*m**2 + 294*m**4 + 70*m**3 = 0 for m.\nAnswer: -2\/7, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 2*h - 1. Let s(j) = 10*j**3 - 13*j + 12*j**2 + 24 - 30*j**3 + 6*j**3 + 13*j**3. Let q be s(11). Let v be 3\/2 - q\/4. What is z(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733 - 1767 = 100*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4250 * 1499\nAnswer: -6370750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Suppose -w = v - 12. What is the common denominator of 47\/11 and 186\/v - (0 + -1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 - -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from cgabcgjvv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + 23*x + 96. Let s = 116 + -111. Let k(a) = -4*a**2 + 24*a + 98. Let o(z) = s*k(z) - 6*b(z). What is the first derivative of o(u) wrt u?\nAnswer: -4*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o + 3. Let x be h(-4). Suppose x*f = -1 - 5. Let i(g) = -g**3 + g**2 + 2*g. What are the prime factors of i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - (2 - 2) - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4360*b + 110 - 1517*b - 1512*b - 63 - 51.\nAnswer: -7389*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/8 - 95*b**3\/4 - 7739*b**2\/8 - 46399*b\/4 - 42534 = 0.\nAnswer: -139, -34, -9, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/35290 and -56\/95283?\nAnswer: 952830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*i + 4 = 10, 3 = 4*k - i. Let u be ((-18)\/(-10))\/((-153)\/(-255)). Solve -2*r + u*r = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a centimeter in micrometers?\nAnswer: 28750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 7*m - 5. Let k be x(6). Which is the closest to k? (a) -5 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64260.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3229584.\nAnswer: 2, 3, 61, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 139*n + 4720. Let v be z(-59). Which is the biggest value? (a) 5.5 (b) v (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/((-15)\/(-5)) - (-2580)\/(-387). Determine q, given that -4\/3*q + q**3 - v*q**2 + 4\/3*q**4 + 1\/3*q**5 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -192, -196, -202, -210, -220?\n\"Answer: -p**2 - p - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - -8) + -34 - -25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v + 1)*(0*v + 7*v**2 + 0*v)*(-198*v**2 - 928*v + 928*v)*(-2 - 3 + 4).\nAnswer: 2772*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4102.003334 + 4102. Round w to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1907.54288 to one decimal place.\nAnswer: 1907.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106454\/5 + 21290. Which is the nearest to -1? (a) -0.1 (b) 15\/17 (c) k (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.39 times 11\nAnswer: -92.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -6)*(-94)\/18 - 5. Find b, given that -28\/3*b - o + 4\/3*b**2 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 1308*q**3 + 110160*q**2 + 3592512*q + 40870656.\nAnswer: 4*(q + 36)**3*(q + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2 (b) 5\/4 (c) 1\/5 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 4) to base 6.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 2\/9, -0.1, 2, 0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + 13*f**2 + 5*f + 2. Let s(n) = -2*n**3 - 7*n**2 - 3*n - 2. What is 3*h(y) + 5*s(y)?\nAnswer: -y**3 + 4*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 803*g**2 + 96*g**4 + g**5 + 0*g**5 - 733*g**2 + 0*g**5 + g**5 wrt g.\nAnswer: 120*g**2 + 2304*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.227 and 1357.\nAnswer: 308.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081518 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -14, -2, 3, 15, -8, 4.\nAnswer: -43, -14, -8, -2, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3480 = -29*z, 5*o - 360 = -2*z - 2*z + 7*z for z.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*u + z + 10, -z + 4 = 0. Find the first derivative of -1 - 1 + 5*q**2 + 5 - u*q**2 wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 638543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 4*n**2 - 3*n. Let l be t(4). Let h be (16\/l)\/2*-15. Suppose h*s + 32 = 12*s. Calculate the least common multiple of s and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from ookfpofffifooioo.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b + 36 = 33*b. Let y(m) = -1675*m. Let p be y(-3). Suppose s - 1682 = -3*d, -b*s + p = 2*d - 0*d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 17*p**2 + 6*p**2 + 5*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 14*u + 18. Let y be n(13). Suppose 0 = 31*q + 1831 - 2110. Solve y*p = q + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 288\/20 - 2\/5. Let h = 1607 + -1593. Calculate the greatest common divisor of p and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 2*r**2 - r + 1. Let x(y) = 5*y**4 - 3*y**3 - 12*y**2 - 1327*y + 6. Let g(o) = 6*n(o) - x(o). What is the second derivative of g(k) wrt k?\nAnswer: -60*k**2 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301259.4*5\nAnswer: -1506297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011 (base 2) to base 10.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 1 + d + d**2 + 0*d + 0*d**2 as a*d + i + s*d**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 26389*c**4\/2 - 4*c**3\/3 - 8*c**2. Let i be w(6). What is i rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 10) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 802, 1809, 3218, 5029, 7242?\nAnswer: 9857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/449683 and -71\/234.\nAnswer: 8094294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5978009 to the power of 1\/2, to the nearest integer?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528) - (sqrt(528) - (-2*sqrt(528) - sqrt(528))))\/sqrt(11).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 9*h - 26. Determine o(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**2*k**3 + 158202*f**2 - 3069*f*k**3 + 32*k**3 + 63*k**2 wrt k?\nAnswer: 24*f**2 - 18414*f + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 915241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + 10 = 0. Suppose 0 = 4*j - 17 + 1, 4*t + 4*j = 24. What is the tens digit of t\/2 - c - -62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7) - (sqrt(7) + (sqrt(7)*1)**2)) - (-3 + sqrt(63)) - (((sqrt(63) + sqrt(7))*-6 + -5)*-3)**2.\nAnswer: -36512 - 2163*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and 91854.\nAnswer: 91854.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 5. Let q(c) = 29*c + 67. Let l(m) = q(m) + 4*u(m). Calculate l(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6534.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450.73134us to hours.\nAnswer: 0.00000012520315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.3, 18\/30535, 5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -34*o + 2. Let q be u(-3). What is the highest common factor of q and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = 5. Let g(w) = -3*w - s*w**3 + 5*w**2 - 3 + 0*w**2 + 3*w**3. List the prime factors of g(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -113, -138, -143, -122, -69, 22, 157?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3587 + -3524. What is the remainder when 2392 is divided by d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-18))**22\/(z**36*(z*z**(1\/5))\/z) assuming z is positive.\nAnswer: z**(-2051\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 128*m - 8*m**2 + 148 + 1\/6*m**3. Solve k(z) = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbqqqqqbobqqq. What is prob of picking 1 q and 1 o?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-15)*-3)\/6. What is the third biggest value in -0.4, -1\/6, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**2 + 24*w + 138. Determine s(4).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.7 - -36. Which is the nearest to -0.1? (a) 0.5 (b) f (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 1. Let u(p) = -6*p + 20. Let f(q) = -2*q + 6. Let y(a) = 10*f(a) - 3*u(a). What is 2*c(r) - 3*y(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3 + 2256*v**2 + 394725*v = 0 for v.\nAnswer: -475, -277, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1576 - -1711. Calculate the greatest common factor of 40 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/17 (b) 2\/13 (c) 2\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16389 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, w: 2}. Give prob of picking 2 w and 1 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 9 = -8*w. Let i(x) = -150*x**2 - 6*x - 4. Let b be i(w). What is b rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 - -81. Let j = 6.4 - x. Which is the nearest to j? (a) 3 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**3 - 4*l**2 + 13*l + 28. Calculate the remainder when c(-3) is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 10*m + 239. Let d be p(-11). Solve 5*a - 3*c = d, 3*a + 2*c - 5*c - 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 7:52 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3036 and 24464847?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/6)\/((8\/8)\/(-98)). Let s be ((-9)\/(-15))\/((-9)\/254). Let v = h + s. What is the biggest value in -3, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - 2 - (-3 - (-9 + 5)). Let z(u) = 2*u - 4. Let v(k) = -4*k + 7. What is s*v(h) + 7*z(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -0.4, -4\/17 in increasing order.\nAnswer: -0.4, -4\/17, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.153, 2.\nAnswer: -0.153, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/9)*w)\/w)**(-3\/11)\/((w\/w**(-2\/13)*w*w)\/(w\/(w*w**(-15)*w*w*w))) assuming w is positive.\nAnswer: w**(332\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015699 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - n - 188 = -502, 746 = 5*f - 4*n. What is the remainder when 3541 is divided by f?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((-43)\/5)\/((-104)\/260)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78828712 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5058712 and 2396232?\nAnswer: 45528408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -406153 (base 7) to base 12.\nAnswer: -34191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/251 or -80217?\nAnswer: 6\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14706 and 34\/4257?\nAnswer: 161766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 478317 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133727*l**3*v**2 + 14*l**2*v**2 - 66*l**2 + 27*l*v**2 wrt l.\nAnswer: 802362*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -116447 and 153004304.6?\nAnswer: 153120751.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**2\/2 + 5*q - 21. Suppose 2*a - i = -0 + 1, -2*a = -3*i - 3. What is w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2130 and 72690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8573697 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p**2 + 3*p + 1. Let m be u(-3). Let j be 0 - (7 + 0) - m. Let s(b) = -b**2 - 9*b - 4. Let f be s(j). Solve -f*a + 15 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvzfqvvvvfqfvvvvtz. Give prob of sequence qtq.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 3*i - 1573 = -i. Suppose u + 3*h = 23, -109 = -4*u - 2*h + 13. What is the remainder when i is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -21, 85, 169?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8836675 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**4 + 2*n**2 - 3*n. Let x(k) = -105*k**4 + 15*k**2 - 25*k. Let s(a) = -25*j(a) + 3*x(a). Find the third derivative of s(z) wrt z.\nAnswer: 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/1230 and -53\/164.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73933230, -147866459, -221799688, -295732917, -369666146, -443599375?\n\"Answer: -73933229*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 16.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/20 + 11*u**4\/12 + 5*u**3\/3 + 7*u**2 - 3*u. What is the remainder when 40 is divided by q(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1 plus -3952?\nAnswer: -3944.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -27. Suppose -8*x + 113 + 223 = l. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 7 + 7 - n + n + 3*n + (n + 2*n + n)*(3 - 5 + 1) - 2*n + 0 + 0)*(-n**4 + 0*n**2 + 0*n**2).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 172, 271, 376, 487?\n\"Answer: 3*g**2 + 84*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1576*q**2 - 128*q - 4. Give p(1).\nAnswer: -1708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 78 = 3*q, q = -c + 16 + 3. Let n = -2 - 22. Let w = n + 44. What is the lowest common multiple of q and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 + -32. List the prime factors of x.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 5*g - 2*w, -g - 4*w + 4 = 0. Let m be 4\/16*0\/(-1). Solve y + 1 + g = m, -25 = 4*f + y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/8 greater than -7507\/2499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + (-170)\/4)\/((-1)\/2). What is the highest common divisor of i and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7826704*3\nAnswer: 23480112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Let j = b - 3.3. Sort -5, 1\/8, j.\nAnswer: -5, j, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3\/3 - 4884*b**2 + 1252819*b\/3 + 854746 = 0.\nAnswer: -14737, -2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5769446*m*n**2 + 2*n**2 - 4*n - 3566 wrt m.\nAnswer: 5769446*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.13 plus 1.7?\nAnswer: 9.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 115*t**2 + 360*t - 141. What is d(-3)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*z - 18. Suppose 3*d + 44 = 4*v, -z*v + 77 - 22 = 5*d. What is the smallest common multiple of 17 and v?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21725700 rounded to the nearest one hundred thousand?\nAnswer: 21700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000642 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:47 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(-24))\/(36\/(-27) - 0). Let g = 9\/32 - p. Which is bigger: g or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -52 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 + 392. List the prime factors of i.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17 + 16)*-3*159. Suppose u - 986 = 4*t, 2*t - 4*u + 9 = -j. Let s = t - -5189\/21. Which is the biggest value? (a) 4 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o + 12. Let t(c) = 2*c**3 - 12*c**2 - 13*c - 5. Let a be t(7). Solve -a*j = -o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42580*t**4 - 528*t**2 + 2.\nAnswer: 1021920*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**2\/2 + 14*r - 5. Let b = -26 + 16. Let v be h(b). Solve -3*w = -v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 29*a**6\/30 - a**3\/2 + a**2 - 57*a. What is the second derivative of b(k) wrt k?\nAnswer: 348*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2059025 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 4*d - 3. Let b(k) be the first derivative of 7*k**3\/3 - 4*k**2 - 7*k - 1. Let f(l) = -3*b(l) + 5*j(l). Give f(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5420.737ug to kilograms.\nAnswer: 0.000005420737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + d + (4 + 0 - 2)*(-1 + 1 - d))*(0 - 4 + 3).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6139 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-2 + 2 - 1)*(2*d**4 - 3*d**4 + 3*d**4).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 17022?\nAnswer: 17034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3 + 309*j**2 = 0.\nAnswer: 0, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, 0 in ascending order.\nAnswer: -5, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 908 divide 1720276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8344 + -8344.1. Which is the second biggest value? (a) 0.3 (b) 6\/5 (c) 1\/134 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 0.3, -4, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -78363 less than -78362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 434, 433, 432, 431?\n\"Answer: -t + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 82. Solve j = 4*f - 9*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00625 - -72818689831\nAnswer: 72818689830.99375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/9)\/(52\/(-78)). Suppose -82*m + 79*m - 17 = 5*d, -2*m = t*d + 6. Is 0 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*r + 3*o + 5, -o = -5*r - 1. Let g be (1 + r)\/(-14 - -13). Put 3, 1, g in decreasing order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5780 times -8.26\nAnswer: 47742.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - -15?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23644706.\nAnswer: 2, 101, 117053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 4\/5 (c) -99 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byoyqbuw. What is prob of picking 1 o, 1 w, and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18169876.\nAnswer: 2, 59, 76991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from aawhaahwa.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m**3 - 1306*m - 1457*m + 2763*m.\nAnswer: -50*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 707669.416 to the nearest 1000.\nAnswer: 708000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4976640 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16864 = -9*x - 871. Suppose 8*l - 879 - x = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01001407 rounded to 4 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 11 + 109. Let m be 12\/9 - h\/9. Find the first derivative of 13 - 16 + 6*y**3 - y**m wrt y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155523 bigger than 155532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 309.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46728909 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 413310 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 4, 4\/5, -298841 in ascending order.\nAnswer: -298841, -2\/11, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2 + 10*k + 2. Give j(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {f: 2, d: 6, y: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1214*u**2 - 604*u**2 - 586*u**2.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 (base 3) in base 15?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.87 + 6.87. Sort 2, -5, -0.03, j in descending order.\nAnswer: j, 2, -0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 6. Let t(g) = -4*g - 7. Let r(o) = -5*o - 102. Let d be r(-21). Let x(h) = -7*h - 7. Let j(c) = d*t(c) - 2*x(c). Give 3*j(i) - 4*w(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1791*s + 64. Is k(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 454*i**3 + 10*i**2 - 37*i - 213. Let k(g) = 227*g**3 + 4*g**2 - 17*g - 106. Let l(c) = -2*j(c) + 5*k(c). What is the second derivative of l(q) wrt q?\nAnswer: 1362*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 98*a**2 - 467*a - 45. What is w(-5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -12.931519461.\nAnswer: -11.931519461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, -0.4, 320\/19, 8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8669729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 276*d**3 + 0*d**2 - 6*d + d**2 - 3*d + 6*d as b*d**3 + y + x*d**2 + u*d and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*46.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:04 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.12 (b) 2 (c) 0.22 (d) -1 (e) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/27 and -59\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 5*p**2 - 2*p + 5. What is the remainder when 18 is divided by i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/3, -39, -3, 1, 4 in increasing order.\nAnswer: -39, -3, -2\/5, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -7*d**4\/12 - 2*d**3\/3 + 10*d**2. What is the derivative of o(a) wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/6 - a**3\/6 + 7*a**2\/2 - a. Let h(w) = -w + w**2 + 2*w**2 + 4 - 4*w**2. Calculate -5*h(n) + 3*v(n).\nAnswer: -n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 8. Let z = -35929 + 35885. Sort u, z, -1 in increasing order.\nAnswer: z, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**2 + 6*w**2 - 121*w**2 + 16*w**2 + 22*w**2.\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 439 times 15.68\nAnswer: 6883.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*d = 28 - 25, -3*p + 17 = -2*d. Let r = 5559\/26840 - -12\/671. Calculate the common denominator of -10*p\/160*2 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/((-14)\/105*4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(2)*5) + 2)**2.\nAnswer: 4*sqrt(3)\/5 + 103\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 + 455*o**2\/4 - 561*o - 675.\nAnswer: -(o - 450)*(o - 6)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -46, -64, -80, -94, -106, -116?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*f - 374 = -8*f - 84 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)*-1 + sqrt(30))*-4)\/sqrt(6) - (3*sqrt(180) + 2))**2.\nAnswer: 72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {p: 7, j: 2, k: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**3 + 5*k. Determine z(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 + 0)*(-1 - 5 + 1) + 2 - 3 - 9)*(w**3 + 0*w**3 + 0*w**3).\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2608 divided by 2.\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*t**3 + 95*t**3 - 48*t**3 - 3*t**2.\nAnswer: -t**2*(8*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*f + 2*f - 2652 = -98*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33\/4*392\/21?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1\/4) - 2. Let j be (-3)\/(-2)*(-8)\/b. Solve -5*q = l - 4*q - 9, j*q - 13 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211 + 213. Let i = 107\/4 - 331\/12. Suppose 0 = -0*y + 2*y. Which is the second smallest value? (a) i (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -1034?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((168\/(-12))\/1)\/(((-3402)\/56)\/(-81))?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 + u + 1. Let v be x(-5). Let w = v - -5. Sort 2, w, 4 in decreasing order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 71*r**2. Let q(o) = 333*o. Give b(q(s)).\nAnswer: 7873119*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.761 - -15079558187.\nAnswer: 15079558187.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -919 and 4.\nAnswer: -3676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877638789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*g + 5*g. Let k be (-13 + 1)\/(6\/g). What is the greatest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*q + p = 178*q - 7, 0 = 3*q + 2*p + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 39*v**2 - 10*v - 63. What are the prime factors of j(-13)?\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 26*a - 55. Give u(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12027\/133 - (-24)\/(-56). Let i = 44 + 91. What is the highest common divisor of i and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 57827674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.248053 (b) -0.4 (c) 19\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9200, 18314, 27402, 36464?\nAnswer: 45500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 3646. Let c(g) = -2*g. Calculate z(c(t)).\nAnswer: 8*t**2 - 3646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19*l - 3. Let x be s(-3). Suppose 0 = -8*g + 32 + 8. Let o be 1 + 0 - -13*(g - 1). Are x and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/31936 and -61\/19960.\nAnswer: 159680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:40 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 6. List the prime factors of -5*2*a\/(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2. Let n(t) = -t - 1. Let a(w) = -2*w**2 - w - 1. Let u(r) = 2*a(r) - 2*n(r). Determine 5*q(f) - 6*u(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/(-27))\/((-1)\/3). Let f = 151977 + -40577683\/267. Let o = 2\/267 + f. Which is the closest to o? (a) j (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (2 + -3*sqrt(117))) + 5.\nAnswer: 3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/4 and -95\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/6)\/((-4)\/(-16)). Let z = 15 - 15. Let h be -2 - (912\/(-792) - (-2)\/(-3)). What is the closest to -2\/9 in z, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991114089.\nAnswer: 3, 7, 191, 247099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3521 * 0.2.\nAnswer: -704.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 12:02 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120842*s**3 + 9*s**2 + 63319833.\nAnswer: -362526*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 2*x. Calculate f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**8\/112 + i**7\/14 + i**6\/20 - 2*i**5\/5 - 261*i**2\/2 + 108. Let u(f) be the second derivative of c(f). Factor u(o).\nAnswer: 3*o**2*(o - 1)*(o + 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -130636.\nAnswer: -43\/130636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/20)\/(1*(-24)\/(-40))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -23, 19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20702.04 centuries to decades.\nAnswer: 207020.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + x + 5, 11 - 26 = -f - 2*x. Solve f = -3*t - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 6) in base 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19847 is divided by 245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2287278.2.\nAnswer: 228727.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.2, -1\/4, 1\/4, -0.0463?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76159 is divided by 38040?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402694 is divided by 204.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {o: 1, a: 1, h: 1, m: 2, f: 1, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16217 - 4?\nAnswer: -16220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/6 + (10 - 14911\/1456) and -79\/32?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/14 (b) 1\/6 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 740 - 740. Suppose -3*s + 4*z = 2, -2*z - 4 + i = -4*s. Let v = 3 - 7. Put -0.3, s, v in increasing order.\nAnswer: v, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**2 - 9*g - 3. Let a(r) = -3*r**2 - 5*r - 2. Let l(o) = 5*a(o) - 3*i(o). Suppose 5*n - 18 = 2. What are the prime factors of l(n)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*-3*((-5 + (sqrt(147)*1 - sqrt(147)) - (1*sqrt(147) + 5))*1 + -1))**2.\nAnswer: 49140*sqrt(3) + 85653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.0378, 1\/4, 4, 3 in decreasing order.\nAnswer: 8, 4, 3, 1\/4, -0.0378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -53. What is the third smallest value in y, -1\/2, -24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 11*o + 3. Let p be w(-11). Suppose 3*c - 13 = p*r - 97, 0 = 5*c - 15. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49110*i**2 - i**4 + 2 - 48389*i**2 + 3*i**5 - 2 - 9*i**5 wrt i?\nAnswer: -360*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/100)\/(63\/(-54)).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41281 * -0.4\nAnswer: 16512.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {d: 4, j: 1, g: 1, l: 6, t: 3, n: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (24654\/(-4))\/((-9)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34078 * 0.1\nAnswer: -0.034078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -21. Let b(g) = -11*g + 6. Let h = -34 - -17. Let w(l) = 10*l - 8. Let j(p) = p - 1. Let o(i) = 6*j(i) - w(i). Determine h*o(c) + r*b(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 1150.\nAnswer: -6\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Let u be (-1416)\/(-9)*(f + 1). Let j = 212 - u. What is j rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r - 32. Determine t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = -5*l + 170. Sort l, 60, 2.\nAnswer: 2, l, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384 divided by -173?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*o + 43 - 123, 0 = c - 5*o - 40. What is the remainder when 71 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 27 - 4) + -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -45. Let d(r) = -8*r - 192. What is the tens digit of d(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**2 - 6*v + 1. Let t(r) = 10*r**2 - 5*r. Let h(f) = -5*o(f) + 6*t(f). Let h(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3506*w**3 - 41*w**2 - 15*w - 5 wrt w.\nAnswer: -21036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.04 - 1.14. Sort 2, 1, b, 300 in decreasing order.\nAnswer: 300, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*h**2*o - 2*b*h**2*v + 137*b*h**2 + 1515*b*h*o - 2*b*h*v + b*v - 2*h**2 + 9*h*o*v + 2 wrt o.\nAnswer: -b*h**2 + 1515*b*h + 9*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2077 + 723. Let p be ((-8)\/(-5))\/(16\/k). Find the common denominator of -125\/12 and -2 - 7\/(p\/275).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123*a - 89*a + 256*a)*(-15 + 4 + 2).\nAnswer: -396*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.18939 kilometers to nanometers.\nAnswer: 28189390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {x: 1, l: 3, d: 3, w: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((-205212)\/14854)\/(-14). Is 0 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - p**2 - 1. Let l(o) = o**2 - 2*o + 3*o - 18*o**3 + 5 + 3*o**2. Let s(k) = l(k) + 4*z(k). Is s(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8050 + -7976. Calculate the remainder when d is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -52 - (1 - 4 - -7)) + -80\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.626196 grams in kilograms?\nAnswer: 0.004626196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4914798239 to the power of 1\/2, to the nearest integer?\nAnswer: 70106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r. Suppose -5*j - 2*d + 15 = 0, 2*j - j - 2*d - 3 = r. Find the second derivative of -3*t**j + 3*t**3 - 2*t + 3*t**3 wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*r + 10. Let f be 1966\/(3\/((-1)\/r*-3)). Let g = f - 484. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002225 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + s = -687, -3*s + 2 - 17 = 0. What is the lowest common multiple of 341 and l?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11060 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: 75+-0.4490187\nAnswer: 74.5509813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:49 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 433007 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 51. Which is the third biggest value? (a) -1 (b) -2\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*k - 16742 = 14032, 0 = 5*h - k - 38466. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -953*y + 7781 - 30653 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 1. Let j be k(-2). Solve 3 = d + j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25034926 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 2*s)*(-2 + 4 + 2) + 9*s + 9*s - 3*s.\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5 + 39. Let x = k + 23. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m = -151 + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-72) + 690\/8. Suppose 3*z + 5*n + 11 = w, 0 = -4*z + n + 123. What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - 2*h)*(24 + 38 + 40).\nAnswer: -204*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59, 84, 109, 134, 159, 184?\n\"Answer: 25*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18698726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1411322, -1411347, -1411410, -1411529, -1411722?\n\"Answer: -3*n**3 - n**2 - n - 1411317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 8*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11863*m + 131294. What is w(-11)?\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38\/5 - 8. Let o = -2 + 3. Suppose 3*d - d = 2*u, -4*d = -3*u - o. What is the closest to -2\/7 in x, u, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36002)\/1149)\/(4\/((-216)\/(-30)))*10\/(-6).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 15*g**2 + g + 31. Let o be d(-15). Is ((-8)\/o)\/((-3)\/1014) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 207 = 693. Let d = f - 364. Let z = 1805\/13 + d. What is the nearest to 0.1 in z, -2, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1086135 divided by -3515.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = 10*t + 9*t + 50 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**3 + 11*z**2 - 11*z. Let u = 4 - 0. Let l(x) = -x**3 - 2*x**2 + 2*x. Determine u*t(f) + 22*l(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2457 + 0.0317. Let i = -2.2 - h. Round i to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*z + 24 = -0, 0 = 4*z + 16. Let o be -17 + 29 + h\/1. Let l be (o\/2*-2)\/((-5)\/15). What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 - -40. Let q = -34 - g. What is the remainder when 9 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 3*l - 15*l**2 + 6*l**2. Let f(q) = 6*q - 16. Let k(i) = -2*i + 5. Let y(s) = -5*f(s) - 16*k(s). Give y(b(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 7)*(-10)\/4 - -10. Suppose -h*w + 2*w + 1878 = 4*n, -2*n - 2*w = -940. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -852335*u + 1282587?\nAnswer: -852335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 23*k - 5*o - 300, 6*o - 2593 = k - 3021 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13975, 14011, 14047, 14083?\n\"Answer: 36*w + 13939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p + 15 + 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-15)*(-25)\/10. Let h be x\/8 + 297004\/16. Suppose 5*k = 937 + h. Round k to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6857.003041 + 6857. What is k rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3009\/28 - 407\/4. Let b be (18\/105)\/((-635)\/13200). Let u = 1\/127 - b. Find the common denominator of j and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*x - 16 = 0, -3*o = -0*x + 4*x + 10. Find the third derivative of y**6 - 4*y**6 - 4*y**o + 7*y**6 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 1. Let q(n) = 82 - 35 - 4*n - 51. Determine -2*q(z) - 10*r(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47979111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 + -52. What is the highest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-1)\/(-2) + 307020\/1848 + 2. Let s be 7\/(-88)*2362 - 1. Let p = s + t. Find the common denominator of p and 27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5436 + -5438. Suppose -5*w = v + 11, 4*v + 3 = -2*w - 5. Put 3, x, v, 4 in increasing order.\nAnswer: x, v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 5*o**2 + 118*o + 586. Let i be t(-5). Let m(k) = k - 12. Determine m(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 226743?\nAnswer: 226744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 7*p**2 - 2*p + 8. Let r be a(7). Let k be (-15)\/r - (1 + 2). Let c = -906.8 - -908. Put -3\/2, c, k in descending order.\nAnswer: c, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3*(-36)\/(-16). Let m(p) be the third derivative of 0*p + p**2 + 0 + 1\/3*p**l + 0*p**5 + 1\/60*p**6 + 0*p**4. Differentiate m(h) with respect to h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(88) + (sqrt(88) + 1*sqrt(88) - sqrt(88)) + sqrt(88)))\/sqrt(8) + (5 + sqrt(22)\/sqrt(2)*2)**2)*-1.\nAnswer: -69 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186\/(-930) - (-4872)\/(-105)*2*1\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8692\/1057 or -8?\nAnswer: -8692\/1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -128*k + 44*k**2 + 54 + 9 + 84 - 4*k**3 - 35 = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-19))\/((-18)\/(-8)*66\/(-99))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -178*i**2 - 133?\nAnswer: -356*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 242260569 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 20*r**3 - r**3.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a + 75. Let v(r) = -2*r. Determine t(v(d)).\nAnswer: -14*d + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70*0.03572.\nAnswer: 2.5004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 5456721.\nAnswer: -2\/5456721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.353 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-5)*(-3)\/((-24)\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 7*n**2 - 6*n - 1. Let s be -6 + 0 + 1 + -1. Let y be i(s). Let h = 9 + y. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36805\/12 + -3067. Let j(x) be the third derivative of 1\/90*x**5 + 0*x - k*x**4 + 2\/9*x**3 + 0 - 7*x**2. Suppose j(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 35 - (-43 + 43)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40595820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1002 divided by -62405.\nAnswer: 1002\/62405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3151133 is divided by 6203.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x - 6, 4*t - 24 = 4*x. Let i = t - 14. Which is the biggest value? (a) 2\/3 (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.72\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18512304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3990 = -2*r - 100384, 4*r + 24081 = q. List the prime factors of q.\nAnswer: 7, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s. Let u be b(1). Suppose -6*g + 13*g = 14. Let n be ((-15)\/20)\/(1\/4). Sort g, n, u in descending order.\nAnswer: g, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Suppose w = -5, 2*a - 6*w = -2*w + 14. Let d be (24\/27)\/((-2)\/a)*3. Solve x = -4*h - 9, r*h = 3*x + d - 25 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:50 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j + 36. Let y(q) = -9*q - 74. Let d(b) = -5*l(b) - 2*y(b). Determine d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - 6*b)*(3 - 1 - 1) + (2*b + b - 2*b)*(0 + 0 + 2) - 3*b + 3*b + b - 4*b + 5 - 5.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-13) - 100\/26?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 852 + -446. Suppose -3*n = 5*r - u, -4*r + n - 5*n + 320 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(1\/8)\/l)))\/(l*l**2*l)*l**(2\/5)\/(l**(-1\/7)\/l))\/((l*l\/(((l\/(l*l**(-2\/7)\/l*l))\/l)\/l))\/l**(-2\/19))**(1\/4) assuming l is positive.\nAnswer: l**(-22807\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g + 13*g - 680 = -18*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 142, 1\/4, 0.4, 0?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 4*l = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 680457835, 1360915672, 2041373509, 2721831346, 3402289183?\n\"Answer: 680457837*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*w + 983 = -56*w - 537 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60491 or -60377?\nAnswer: -60377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -311\/3 + 313\/3. Which is the nearest to 43? (a) -3 (b) 0 (c) 0.4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10761465839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4994.\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-511)\/146 - 41\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/7)*c**(-2\/121)\/c)**(-48) assuming c is positive.\nAnswer: c**(76176\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -20. Let c be o - (-1 + 5\/5). Suppose c*q = 2*i - 3 - 7, 9 = 4*i + 3*q. Solve i*u = -5*x + 2*u - 20, 4*x - 5*u - 13 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = -w + 4*h, 4*w - 4*h - 24 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041588, -1041530, -1041460, -1041372, -1041260, -1041118, -1040940, -1040720?\nAnswer: -1040452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 6. Let j(w) = 6*w**3 - 2*w**2 - w. Let q be j(-1). Let f be 2 + (q - -4) - 7. Let u(b) = 2*b**2 + 4. What is f*u(k) + 5*h(k)?\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419452, 419444, 419430, 419410, 419384, 419352?\nAnswer: 419314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 5\/3*q**3 - 19*q**2 - 4\/5*q**5 - 53 + 0*q + 0*q**4. Find the second derivative of p(b) wrt b.\nAnswer: -48*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 + 5 = -u, -4*u - 5*t - 3 = 0. Sort u, -1, -5, 2 in descending order.\nAnswer: u, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 845 = 17*l. Does 41 divide -63 - l - (1 - 69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.499 and 9.\nAnswer: 175.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100011110 + 0?\nAnswer: 1000100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1957\/(-19467)*-270*14\/5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.79 or 1\/104?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n + 758. What is the remainder when 645 is divided by p(49)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, -407, -1187, -2259, -3611, -5231, -7107, -9227?\nAnswer: -11579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 - 2993228*o**3 + 3672855*o**2 wrt o.\nAnswer: -60*o**2 - 17959368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/48 - 443*l**5\/24 - 31075*l**4\/6 - 60500*l**3 - 4032*l**2 + l. Factor i(r).\nAnswer: -5*(r + 3)*(r + 220)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-10) - (67 + -53)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2266 by 2.\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*i - 3*v, 0 = -3*i + 14*v - 18*v + 20. Let m = -9 + -1. Let a be 3 + -2 + 22\/m. Sort -0.4, a, i in decreasing order.\nAnswer: i, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let u = -31 + 30.6. Let h = u - -0.3. What is the nearest to h in k, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, 1\/5 in ascending order.\nAnswer: -3, 1\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 767*k + 769*k = 36, 3*h + k = 48 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*k = -55, 160*h - 164*h = 14*k - 376 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 8*f**2 + f - 7. Let p be u(8). Solve -p = -j - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5 + 28*w**4 - 68*w**3 + 16*w**2 + 70*w - 44 = 0.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(-3*n**2 + 3*n**2 + n**4) - 5*n**4 - 6*n + 6*n + 3*n**4 - n**4 - 5*n**4 to the form t*n**4 + g*n + q*n**3 + a + m*n**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100*w*y - 3*y - 16 wrt w.\nAnswer: 100*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 219.\nAnswer: 4\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/14)\/(11*(-6)\/(-88))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**3 - 443215*c**2 + 9822198415*c - 9821755205 = 0.\nAnswer: 1, 44321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147342727 - 0.28.\nAnswer: -147342727.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9087804*q**2 + 5049793 wrt q.\nAnswer: 18175608*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:38 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s + 73. Calculate a(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d = 17*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, h: 1, l: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 8, -1, -2\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*k**2 + 282*k**2 - 1339*k**2 + 281*k**2 + 218*k**2 + 282*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 4 + -7)*5\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36511, 36507, 36503?\nAnswer: 36499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 divided by 3?\nAnswer: 583\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 3*v**3 - v**3 + 3*v - 9*v**2 + 5*v**3. Let k be g(7). Let s = 41 + k. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14605.\nAnswer: 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199558 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = 2*n + 206 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10\/5 + 880\/(-60)*(-714)\/374?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617010 is divided by 308368.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152959*r**3 - 152962*r**3 + 305926*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, -20.225, 2.4, -0.4 in descending order.\nAnswer: 2.4, -0.4, -4, -12, -20.225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660532 is divided by 553502.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 447857 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.958 - 0.042. Let s = w + 27. Let j = s - 7.8. What is the closest to 0 in j, -14, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 - 25*d - 24 = 0. What is d?\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*20\/(-3) - -4. Let j = g + 19. List the prime factors of (22\/(-1))\/(j\/(-18)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 4, -3, -26, -71?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 4*y**2 + 5*y - 6. Let u be k(-2). Which is the smallest value? (a) -6 (b) 2\/5 (c) -3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15471 + 15483. Solve 0 = -2*z - 4*f - d, -5*z - 23*f + 20*f = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 0.02. Let d = r - -0.05. Which is smaller: 2\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24873 or 24875?\nAnswer: 24875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00212422 rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from rrwhwrrrrwwwww.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 22*y - 16340 + 16390 to z + s*y and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3670 + -0.012448?\nAnswer: -3670.012448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -116. What is the highest common factor of o and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10039443005 to six decimal places.\nAnswer: -0.100394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220002021202 - 10?\nAnswer: -10220002021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 235 + 239 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (12 + 5) - (-1 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiimiiiiiimm. Give prob of picking 4 i.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -s + 12, 2*a - 9 = 4*s - 13. Suppose -s*i = 3*m - 7*m + 1244, -2*m - 5*i + 646 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkgkgg. What is prob of picking 3 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d**2 - 95*d - 390. Let v(y) = -y**2. Let x(s) = -j(s) + 4*v(s). Factor x(f).\nAnswer: 5*(f + 6)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 659.783 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*o + 89 - 11 = 0, 4*o - 16 = -j. Suppose -j*i = -20*i. Let r(s) = -1 - s - s + i + 2. Determine r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-21 + 4)*(-3)\/15 and 109\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/13 and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 5:41 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 1 = 0, 3*i - 3*c + 7 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4223681 * 5\nAnswer: 21118405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1709\/120 + (-19)\/(-76). Let s = u + -241\/24. Calculate the common denominator of s and -7\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 45. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555165.6l in millilitres?\nAnswer: 555165600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**5\/3 + 537268*t**4 + 12894244*t**3\/3 + 9133372*t**2 - 3223640*t\/3 - 12894176 = 0.\nAnswer: -402943, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.991 - -0.009. Let r = z - 17. Let a = r - 42.58. What is a rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6)*(-159)\/(-2). Let w = z + 27. Suppose 20*n - 62 = 38. What is the nearest to w in n, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 308 = -15*h + u, 3*h - 5*u - 930 = 0. Does 61 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - 3*c**4 + c**4 + 3*c**4 - 3*c**4 + c**4 + (-4*c**4 + 0*c**4 + 3*c**4)*(1 + 1 - 4) - 392*c**4 + 53429 - 53429 + 0*c**4 + 0 + 2 + 2*c**4.\nAnswer: -388*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) 11 (c) -2\/5 (d) -17\/35 (e) -0.5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 40*l**2\/3 + 71*l - 102.\nAnswer: (l - 34)*(l - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-5)\/(-6)))\/((-3003)\/154).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5441023 + -202?\nAnswer: -5441225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.03, 9\/4, 0.047?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6408 and 19\/138?\nAnswer: 147384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnfqqffnfnqfnqff. Give prob of picking 1 q, 1 n, and 1 f.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -4, -2, -5 in ascending order.\nAnswer: -52, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-120)\/280 + -2 + (1 - -1). Let f = -43\/78 - -2\/39. Which is the closest to 0.05? (a) x (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24222)\/4404 - 114\/4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7956, 8496, 9292, 10344, 11652?\nAnswer: 13216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:48 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:07 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.885055 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*m + 25 = 0, 2*g = 4*m + 3144 - 3146 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 7, g: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1528, 1517, 1484, 1417, 1304, 1133, 892, 569?\n\"Answer: -2*k**3 + k**2 + 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96755?\nAnswer: 5, 37, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17000101 - 0.17. Round h to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**(2\/17))**(1\/6) assuming l is positive.\nAnswer: l**(-1\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gglg when four letters picked without replacement from {l: 4, g: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 16217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8595 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/7*w**3 + 72\/7 + 120\/7*w + 74\/7*w**2 + 2\/7*w**4.\nAnswer: 2*(w + 2)**2*(w + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*n*o*u**2 + 10*n*o*u - 3*n*o - 2*n*u**2 - 3*n*u + 20*o*u - 4*u**2 wrt u.\nAnswer: -226*n*o - 4*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905269233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8126)\/6692*(-12)\/17.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72862 by 15.\nAnswer: -72862\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-1))\/(10\/(-250)). Let n = g - -54. Suppose n*p + 0*p = 468. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -0.1, -20\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.18 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 147284 and 147297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 272*m + 2001. Give k(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 7\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 5:51 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158 and 12?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -144*f + 75. Let k(r) = 7*r - 2. Determine -4*h(o) - 84*k(o).\nAnswer: -12*o - 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-16\/7)*(p**(-2\/3))**(-29) assuming p is positive.\nAnswer: p**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 - 5*l**2 - 27)*((-2*l + 4*l - l)*(1 - l - 1) - 2*l + 2*l + 2*l**2 + 8*l - 8*l - 4*l**2) in the form w*l**3 + n*l**2 + x*l + p*l**4 + k and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1.435, 0.4, 0.8?\nAnswer: 1.435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7\/491, 0.4, -0.46?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57325952 divided by -28662976.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 25*r**2 - 59*r + 907. Let m be s(26). Let k(a) = -a + 48. Let x be k(0). Let l = m - x. Calculate the lowest common multiple of l and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20880, 20874, 20866, 20856, 20844, 20830, 20814?\n\"Answer: -d**2 - 3*d + 20884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4296*v - 481 wrt v.\nAnswer: -4296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293 - -323. Let d = 71 - 43. What is the remainder when h is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -1\/9, -508695194 in decreasing order.\nAnswer: 0, -0.1, -1\/9, -508695194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/30*-8)\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus 1.7111978?\nAnswer: -1.7311978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 + o**2 + 0*o + 227 + 0*o - 126 as m + a*o**2 + p*o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 584192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-44 - -15) + -24?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*b. Let q = 5 + b. Solve -7*g = -3*g + q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*u + 32 + 111 + 138 + 41 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 57. Let n(a) = -2*a**2. Determine n(s(y)).\nAnswer: -2*y**2 - 228*y - 6498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-528)*-4)\/(9\/48*-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020743782 to six dps.\nAnswer: -0.002074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r + 4. Let c be q(2). Suppose -2*g = 2*g + 12. Let l be 82 + g + -2 + 3. Calculate the greatest common divisor of c and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -42727 (b) 8 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 0*w**5 + 0*w**4 + 0*w + 0*w**6 + 0*w**2 - 39\/7*w**7 - 42 - 5\/3*w**3. Find the third derivative of m(y) wrt y.\nAnswer: -4680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -z + 4*n, 5*z - n = -9 + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 3*i**2 + 2*i + 2. What is g(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 13. Let y be v(-5). What is the tens digit of (-6)\/y + (-742)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 4*j**2 + 4*j + 14. Let m be (-1)\/3*15 + 0. Give i(m).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1144255, 1144256, 1144257, 1144258?\nAnswer: 1144259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8) + 2)*84\/294.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9069.344 and -5.\nAnswer: -9074.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(3 + (-102)\/54).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 46*c**2 - 16*c + 643. Determine h(46).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 945.5995 decades?\nAnswer: 9455.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160775 and 94400?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.459 and -15.\nAnswer: -21.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) + (-92)\/20. Suppose -5*r + 0*r - 15 = 0. Suppose -20 = 2*p - 7*p + 2*c, 2*p = 2*c + 8. Sort o, r, p in ascending order.\nAnswer: o, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/8 or -1\/2?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 665232*l - 36877801152.\nAnswer: -3*(l + 110872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03242361 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17908 - 17058. What is the remainder when y is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 0, -c + 25 = 4*q - 1. Let h = c - 8. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 1. Let g be v(-2). Suppose -1 = -y + g. Put y, -2, 2 in increasing order.\nAnswer: -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 46516025.\nAnswer: 418644225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31714040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40915 and 58450?\nAnswer: 409150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 0*d - 3*d + (0 + 3*d + 0)*(-1 - 1 + 0))*(-3*d + 2*d + 3*d) in the form y + w*d**2 + m*d and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q - 270 = 0. Let l be (8\/(-10))\/((-80)\/1800). Calculate the highest common factor of l and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1507 + -1490. Let r(s) = 2*s - 33. Calculate r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53\/5 of a micrometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.08, -5, -3, -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cb - -2?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 27*s + 26. Let r be i(8). Which is the second biggest value? (a) 22 (b) 0 (c) 2\/15 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 645\/(-6)*(-36)\/15. Let i be w\/66 + 2\/22. Solve -17 = i*u - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 6:06 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s - 127. Determine a(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 8*u**2 + 7*u + 2. Let g be l(7). Let a be (8\/6)\/(3\/9). Suppose o + 4*f + 13 = 0, 10*o - a*f = 15*o + 1. Solve g*w = -o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 28 (c) -1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 281 = -4*t - 248, 2*t = 3*y + 49 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - m**2 + 2. Let n(q) = q**2 + 7*q + 2. Let d be n(-7). Let g be u(d). Let l = g - -9. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 2*w**2 + 0*w**3 + w**2. Let u(o) = -15 - 4*o + 3*o + o**2 + 15 + o**3. Calculate j(z) + u(z).\nAnswer: -2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 483133 + -159822. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 = -36*v + 149*v - 456 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q + 1. Let o be q\/6 - (-94)\/6. Solve -o = -0*z - 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4083 and 21.\nAnswer: 28581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**4\/12 + 170*b**2. Let f(r) = 3*r**2 - 162*r. Determine f(u(w)).\nAnswer: 12*w**2 - 324*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let z = 0.1 + -0.2. Let g(v) = -v**3 - 10*v**2 + 6*v + 133. Let n be g(-9). Which is the nearest to z? (a) s (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -9527244.\nAnswer: 9527244.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2 - b - 2. Let m = 19 - 20. What is the units digit of v(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*y - 241*y = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-620)\/(-182) - (-2)\/7. Let o = c - -115\/78. Let z = -16909\/10 - -1702. Calculate the common denominator of z and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27330, -54654, -81976, -109296, -136614?\n\"Answer: a**2 - 27327*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h + 1. Give b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/3)\/(1\/(-18)) - -2. Let c = -9 + x. Calculate the remainder when 89 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*n = -18774, m - 5120 = 2*n - 421. List the prime factors of m.\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cur when three letters picked without replacement from rruccccccccrcccrr.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3063092 + -0.096607.\nAnswer: 3063091.903393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 v when four letters picked without replacement from vljlvlvllvlll.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*a + 15, -14*a = 2*t - 27*a + 63 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q - 4*q**2 + 6*q**3 + 1 - 7*q**3 + 4. Let n = 7 + -12. Determine u(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1625, 3109, 4597, 6089, 7585?\n\"Answer: 2*c**2 + 1478*c + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 12:12 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.22 to 0 dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 324*x - 598*x = -278*x - 90, 0 = -x - 3 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 352?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/36*(-6)\/(-10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 586402101 to the power of 1\/3, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159939904 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n**2 + 14*n. Let m(a) = -a**2 + a. Let s(b) = -2*j(b) + 28*m(b). Let r(t) = -t. Calculate s(r(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1090098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17490 and 170978.\nAnswer: 28211370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - f = 1, -f - 5 = -0*f. Suppose n*z - 7*z = 3*o - 66, z - 17 = -2*o. Calculate the lowest common multiple of 27 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2314520827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 22 = b - 10, 3*b = 15. Let p(y) = y**3 + 10*y**2 + 8*y + 7. What is p(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/11 + 272482*j**2\/11 - 18561610081*j\/11 = 0. What is j?\nAnswer: 0, 136241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -7*r - 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q**2 + 2*q + 5. Let k(d) = 15 - 59*d - d**3 - 32*d**2 - 42 + 51. Let l be k(-30). Let r(a) = -a**2 + 1. What is l*r(h) + w(h)?\nAnswer: -3*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 15 = -2*v - 17, -5*s + 3 = 4*v + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-20)*(-2)\/(-12)*(-830)\/(-747)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 5*v - 3. Let f(g) = -g**2 + 2*g + 1. Let b be f(0). Let r be (b\/2)\/((-6)\/(-48)). Suppose 6*a - r*a = 6. What is o(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/3)\/((-6)\/(-18)). Sort w, 2\/7, -0.2 in decreasing order.\nAnswer: 2\/7, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 1908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, -0.72, 1\/4, 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -23, -68, -135, -230?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 + 7) - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/7? (a) 3\/25 (b) 0.4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*l**2 - 93*l - 99*l + 7*l**2 - 12*l**2 + 61*l in the form m*l + x*l**2 + z and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 6*w**2 + 2*w - w + 0*w - w**3. Let l be -1*2 + (-1 - -8). Calculate b(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psa when three letters picked without replacement from aaappsa?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 15. Let i(h) = -8 - h**x + 2*h + 3*h**2 - h - h**2. What is i(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*m**2 - 579.\nAnswer: -410*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**2 - 15*a**5 + 2*a**2 + 3*a**5 wrt a?\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, 2\/49, 2\/9 in ascending order.\nAnswer: -3, -2\/7, 2\/49, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0, -4 in increasing order.\nAnswer: -45, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*d - 6*d. Let b be 3\/9 + 32\/(-6). What is the third biggest value in b, 1\/4, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g**3*p - 6*g**2*p + 4*g**2 - 167*p - 3 wrt g?\nAnswer: 18*g**2*p - 12*g*p + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5e057b (base 16) to base 4\nAnswer: 113200111323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1283\/89410 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636974 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**3 + 10*t**3 - 15*t**3 - 8*t**2 + t + 1 - 6*t**2 to r*t**2 + g*t**3 + c + q*t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*b + b - 69468. What are the prime factors of b?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*1233\/(-27)*2\/2. Which is bigger: n or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42 + 0.54. Let w = i - 0.06. Let o = w + -0.89983. What is o rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 14, j: 1, t: 2}. What is prob of sequence ttwj?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9 - -5) + (-163)\/2)*-6. Let b = y - 198. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1350*p - 89. Let h be c(-2). Suppose -h + 7517 = 11*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -0.11. Let h = 4.1 - 6.1. Sort h, -0.3, v, -0.9 in descending order.\nAnswer: v, -0.3, -0.9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 32. Let l(j) = -4 + j + 14*j + b. List the prime factors of l(7).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7883 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from fvrty.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 153, 307, 461, 615, 769?\n\"Answer: 154*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/470 and 23\/188?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109.10912611 - 394.10913199. Let j = -562 + 277. Let o = j - n. What is o rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*((-65)\/(-30))\/(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -102*d - 574 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -3 (c) -3276\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -24, 206, 0 in ascending order.\nAnswer: -24, -5, 0, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -7a8982?\nAnswer: 7a8984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dkkkkkkkdddkdk.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 1:45 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35663, -35669, -35675?\n\"Answer: -6*b - 35657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2004 = -2*s + 6*s. Is 4 + 5\/(-3)*s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i**2 + 67*i**2 + 26*i**2.\nAnswer: 126*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -210. Let n be g*(156\/56 + 2\/(-7)). Solve 4*k**3 - k**4 - 5*k**2 + 2*k - n + 475 = 0 for k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**5 - 3*c**3 - 57*c**2 - 110200*c.\nAnswer: -60*c**3 - 18*c - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzjjqtqjjpjqyqptppyt. Give prob of sequence tpjj.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 489*l - 45879. What is m(94)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -974*b**2. Let a(g) = -4 + 2*g + 27 - 23. Calculate a(c(p)).\nAnswer: -1948*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 70. Let b = i - 13. Let h(n) = -n**2 - 7*n + 18. Let l be h(b). Is l less than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 18.7.\nAnswer: -18.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2551*r**3 - 6*r**2 - 12*r - 12. Let v(f) = 10203*f**3 - 25*f**2 - 50*f - 50. Calculate 25*n(t) - 6*v(t).\nAnswer: 2557*t**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*o + 701*o - 6730 - 3984 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*b + 46, b + 15 = -21*y + 19*y. Is ((-9122)\/(-1))\/(b + 158\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or 10.9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, s: 1, m: 1, e: 2, q: 2, b: 1}. Give prob of picking 2 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -20. Let h = 0.2 - 0.2. Let x = -1 - h. Which is the biggest value? (a) 0 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38896*c + 38526*c + 8880 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 10\/33, -5, 7787?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*o - 10 = 0, -5*r + 8*r - o = -8. Let i = 1.8 - 2. Which is the closest to r? (a) i (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 2*y + 4*y)*(-6 + 2 + 7)*(17 + 2 + 8).\nAnswer: -162*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -43) + (-1 - -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-8))\/((-1)\/2))\/((-1072)\/3216)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0, -0.15, 5, -20, -88?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 - 1066*a**2\/3 - 12659*a\/3 - 11594\/3.\nAnswer: -(a + 1)*(a + 11)*(a + 1054)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 18 = i + f, 3*f - 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 6 + 3*o - 3. Let r be b(-7). What are the prime factors of 2\/(r\/(-2)) + 74?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-99)*2*15\/180.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 174 - 172 - 3*u. Let m(b) = b**3 - 14*b**2 + b - 11. Let w(k) = -k**2 + 14*k - 31. Let i be w(9). Let l be m(i). Calculate y(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 1710, -1, -0.2, -2, 1\/9 in decreasing order.\nAnswer: 1710, 1\/9, -0.2, -1, -2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26797 + 26797. Let a = -36 - -32.2. What is the nearest to -0.2 in o, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241907 + 64*x**3 - 2*x**2 + 54*x**3 + 241831.\nAnswer: 118*x**3 - 2*x**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/(-3))\/((-40)\/(-12)). Let k = 3\/5 - p. Suppose 0 = -2*j - j - 3. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + 5 + -39 + 38 + -89.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166233935*d**5*o + 2*d**2*o + 151147*d**2 - 9*d*o + 2*d + 2*o + 1 wrt d?\nAnswer: -9974036100*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*h**2 + 3\/5 - 6\/5*h**3 - h**4 - 1\/5*h**5 + 7\/5*h.\nAnswer: -(h - 1)*(h + 1)**3*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -2) + -1 + (-66)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 67*d**2 - 34*d + 22. Let h be j(34). Let o be 1212199996\/h - -2*2\/22. Round o to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 665 * 0.6\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*7\/2)\/(3\/(12\/8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1\/4, 1868, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, -1565382 in descending order.\nAnswer: 12, -3, -1565382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/4)\/(6\/12). Let g be t*13*(-9)\/15. Suppose -2*y = -5 - g. Calculate the greatest common divisor of 55 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qudduqquuuuuuduqd. What is prob of picking 3 q and 1 d?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.076893794 to four decimal places.\nAnswer: -0.0769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98, -201, -272, -293, -246, -113?\n\"Answer: 3*d**3 - 2*d**2 - 118*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l + 2*c = -6, -5*l = -3*c - 23. Suppose -l*b + 0*b = -4. Suppose -4*w + b = -11. Solve -w*r - 1 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3533 is divided by 733.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 7724*o**2 - 3670156*o - 56803740 = 0 for o.\nAnswer: -15, 973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-210 + 101 - -275) + -108\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:00 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2349544964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 6:31 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -6*j - 4*g - 116, -70*j + 72*j - 178 = 6*g - g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/108752 and -61\/135940?\nAnswer: 543760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**0*n**(-6) assuming n is positive.\nAnswer: n**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a - 6 + 2*a**2 - 6*a**2 - 2*a**2 - 3*a. Let x be f(-5). Does 24 divide (-4784)\/x + 4\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*a**3*d**3*x + a**3*d**2*x**3 + a**2*x**2 + 4*a*d**3*x - 32*a*d*x**3 + 2*d**3*x**3 wrt a?\nAnswer: -738*d**3*x + 6*d**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85694593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*x + 1177 = 147, 588 = 3*o + 3*x. Calculate the remainder when o is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*f - 89 = 0, -3*b - 663*f = -1328*f + 670*f - 42 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88540 rounded to the nearest one hundred?\nAnswer: -88500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2425*x - 5938*x - 1981*x.\nAnswer: -10344*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 172, 392, 700?\n\"Answer: 44*v**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*y - 4 = 4*y, 5*y - 1 = 4*v. Suppose o - 2 = -2*s, 6*o - v = o - s. Is -2\/5 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*16\/(-4576)*33\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from anaannnnannannaaaa.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/4)\/((-108)\/(-240)*25\/(-15)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 7:47 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2376 and 8613.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 + 3 = -2*t, 0 = 4*t - 3*y - 35. Let i = -158 + 370. Suppose -a - i = -t*a. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 20 = 5*x, 20 = -5*x - 86*f + 85*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 45563095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 11*x**2 - 20*x - 13. Let o be a(-13). Let p be 9\/((-7)\/(o + 0)). Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a82 (base 11) to base 12.\nAnswer: 13479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4785 + 2197 - 2928 + 946 - 2*v.\nAnswer: -2*v - 4570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f - 40. Let l be x(3). Let s be -2*((-273)\/(-6))\/l. Solve 0 = -w + 4*m + 9, -2*w = 3*m - 0 - s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22061.9 - -22062. Which is the nearest to -0.33? (a) 2\/5 (b) -3 (c) w (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181327721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + (sqrt(216) - (sqrt(216) - (sqrt(216) - (sqrt(216) - sqrt(216)*-1)))))\/(sqrt(1452) - (sqrt(1452) + sqrt(1452) + 2*sqrt(1452)))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -227*q**6\/30 + 401*q**5\/30 - 14*q**2 + 33. Find the third derivative of u(g) wrt g.\nAnswer: -5448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - t - 3*t = -7, t - 1 = 2*d. Let r(f) = 3 - 3 - 1 + f. Let p be r(d). Which is smaller: -2\/31 or p?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(17) - sqrt(272)) + (1 + sqrt(1088))**2.\nAnswer: 13*sqrt(17) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**6\/120 - r**5\/12 + r**4\/4 - r**3\/6 - r**2 + 2. Let z(q) be the second derivative of f(q). What is the units digit of z(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:31 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/((-444)\/(-8))*6*7\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935796 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8c573 (base 14) to base 16\nAnswer: 53559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 + z**2 - 16 + (-3 + 2 + 2)*(-z + 1 - 1 + (z + 0*z + 0*z)*(-4 - 4 + 6) - 10*z + 8 - 8)*(-3*z + 6*z - 2*z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 328176743 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(3\/8))\/l**(-3))\/(l*l**(12\/5)*l*l*l*l**18*l) assuming l is positive.\nAnswer: l**(-871\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y. Let n be (-3)\/(-2)*(-16)\/(-6). Suppose 0*c = -n*c + 8. Let s(m) = 3*m**c + m**2 - 3*m**2. Calculate t(s(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 152\/5. Let w = -92398 - -831580\/9. Let v be 4\/(-2) + (-16)\/(-6). Which is the third biggest value? (a) p (b) v (c) w (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 6. Let m = -67\/104 - -10\/13. What is the second smallest value in -1\/6, v, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -347.02 - -347. Let p be 2\/6*(-6)\/(-14). Which is the closest to -2? (a) g (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 0*q)*(-3 - 14 + 3)*(0 - 4 + 5) + 0*q + 2*q - q - 3*q - 4*q + 5*q + (3 - 3 + 2)*(0*q - q + 0*q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 5*b**3 - 4*b**3 - 9*b**2 + 10*b**2 - b**4 + 4*b**3 to r*b**2 + q*b**4 + j*b**3 + d + k*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 16\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + v**3 + 0 + 24*v**2 - 15 - 4*v**2 - 7.\nAnswer: v**3 + 20*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*i**2 + 149*i**2 + 53*i**2 + 41*i**2 - 60*i**2.\nAnswer: 315*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*p - 1)*(5 - 1 - 3) + (-5 + 6 + 1)*((1 + 1 + 0)*(2 - 2 + p) + p + 2*p - 2*p) to the form j + t*p and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from {a: 1, t: 3, m: 11}.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*y + 536938 - 3844138 = 0. List the prime factors of y.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -835738314 divided by -111.\nAnswer: 7529174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a day in minutes?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bssssbssbssbb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204488177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -567 + 567. Suppose 4*n + 2 = -22. What is the second smallest value in i, n, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 11*y**2 + y - 11. Let w(s) = s**2. Let c(d) = 6*d - 26. Let v be c(5). Let t(j) = v*w(j) + r(j). Let u be t(15). Solve -u*f = f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6895, 27585, 62083, 110401, 172551?\nAnswer: 248545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0.4, -5, -0.161451 in ascending order.\nAnswer: -5, -0.161451, 0.4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171579575?\nAnswer: 5, 31, 221393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -661, -5, 3\/5, -1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -31. Let v = r + -13. Suppose c - 8 = v. Solve -5*f = -2*w - c + 6, -3*f + 3*w = -15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -2ab4?\nAnswer: -2ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - (1 + sqrt(833) + sqrt(833))) + sqrt(833) + 3)*-1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 16 + 12 = 0. Suppose j + 13 = -2*o + 2*j, -5*o = -4*j + 37. What is the common denominator of ((-375)\/54)\/o - m - -1 and 43\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 17. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.9 - -43.9. Which is the third smallest value? (a) o (b) -1\/13 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 53 = 4*s. Suppose -s*d + y + 6 = -7, d + 4*y = -13. What is the greatest common divisor of 7 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -797 + 798. Which is the closest to i? (a) 1\/2 (b) 8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -51*l + 1. Is w(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - s - 40 = 0. Let c = -114 + 122. What is the nearest to -0.2 in c, 4\/9, s?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 155 = r, 2*z - 45 = 2*r + r. Suppose 3*p - 30 = -5*y, -3*p + z = -0*p + y. Let w = p + -4. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (440\/1056)\/((140\/147)\/4).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -3*u**2 + 1\/3*u**3 + 2*u + 0. What is the least common multiple of n(5) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 0, 3*z - z + 5*l = 3*l + 2*l + l - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165 - -304. Let o = 10 + n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016107753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/5 - 1677*s**2\/5 - 1686*s\/5 + 672 = 0.\nAnswer: -2, 1, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:14 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 10*v - 6*v. Let a(n) be the third derivative of -3*n**4\/8 + 23*n**3\/6 + 2*n**2. Let j(b) = -3*b + 8. Let f = -28 - -11. Calculate f*j(s) + v*a(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 476, 496, 526, 572, 640, 736, 866, 1036?\n\"Answer: h**3 - h**2 + 16*h + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220041, 220053, 220065, 220077?\n\"Answer: 12*i + 220029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102225, -102274, -102313, -102342, -102361?\nAnswer: -102370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 10*g**2 - 3*g - 17. Let s(a) = -12*a**2 - 4*a - 17. Determine 6*o(h) - 5*s(h).\nAnswer: -12*h**3 + 2*h - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 - -124. Put 2, 162, x in ascending order.\nAnswer: 2, x, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1159 - -1163. Solve c = 2*a + v, -2*c - a - 4 = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.054 * 6629.\nAnswer: 357.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3 - 30. Let z be (p - 0)\/((-1)\/1). Let n(o) = -18*o - 3. Is n(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19376?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5 + 64034*a**4 - 640436*a**3 + 256344*a**2 + 10759104*a - 18444672 = 0.\nAnswer: -64044, -4, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.46 (b) 176 (c) 8 (d) 22 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8 - 45 = -2*l + 15, 2*g = 0. Let i = 2 - -3. What is the remainder when l is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 279a0 + -2?\nAnswer: 2799d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*x = 5, -3*r - 2*x + 4 = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -8, -0.4, -27, 1.\nAnswer: -27, -8, -0.4, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86684*r - 1260 = -86714*r for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69609 = 17*y - 105712. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4\/4 - 2*w**3\/3 - w + 22. Give q(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -308*y - 4436. What is the least common multiple of 60 and d(-34)?\nAnswer: 30180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 737*u + 5821. What is d(-9)?\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -120*i - 9*i. Sort -62, 9, i in decreasing order.\nAnswer: 9, i, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 10*p - 4. Let r be k(-7). Let s be ((-4)\/(-3))\/((-18)\/(-81)). Suppose -s*q + 38 = -58. Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -9, -3*r + 15 = -4*y - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -41*h + 214. Let z(i) = 14*i - 72. Let g(r) = 3*p(r) + 8*z(r). Let t be g(6). Solve t = -2*d - 2*o, 0*d - 5*o - 2 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -652 - -656. Solve -5*p + 3 = -3*f - f, c*p - 24 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 3684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1293, 3, 2, -804 in descending order.\nAnswer: 3, 2, -804, -1293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpzz when four letters picked without replacement from {p: 1, l: 1, t: 1, s: 1, z: 2, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -25*5 - (-10 - -8). Let w = -123 - j. Which is greater: -1\/33 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**4\/2 + 1925*c**3\/2 + 11030*c**2 - 59680*c = 0.\nAnswer: -373, -16, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 44 + 48 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/10 - (-3 + -10). Suppose -93 = 10*g - v*g. What is the remainder when 37 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9121 - -261?\nAnswer: 9382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/16 - ((-14)\/(-4) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5368.877 years?\nAnswer: 5.368877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 1, q: 2, t: 6, b: 4, p: 2}. Give prob of picking 1 o, 1 t, and 1 q.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 2*b**2 - b**2 - 1 + (-5*b + b + 3*b)*(4*b - b - 5*b) + b**2 - 2 + 2.\nAnswer: 4*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 16*a - 16. Let o(m) = -m**2 + 20*m + 8. Calculate the least common multiple of o(20) and d(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -644349025*l**6 - 23119330*l**2 - 3?\nAnswer: -77321883000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 26 = -7*r. Suppose -r = -w + 43. Let y = -54 + w. Solve 0 = -y*p - 8, -c - p - 3 = -0*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:26 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 13*c + 13. Let i(x) = -2*x**2 + 6*x - 6. Let k(r) = -2*r**3 + 2*r**2 - 19. Let w be k(0). Let v = w + 32. Calculate v*i(m) + 6*o(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(45\/42)*((-720)\/588)\/(-30).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/4 - 213*q\/4 + 215\/2 = 0.\nAnswer: -215, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = -2*i, 10 = 3*i - 11*v + 16*v. Let x be -2 + -4 + -1 - -1. Let u be 2\/6 - 16\/x. Solve -2*a + 6 = -2*f, 1 = u*f + a - i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281456601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (22 - 75) - -37\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1385*t - 455660. What is v(-329)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2072*y - 8277. What is q(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*j - 309 - 186 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*g - 4*y, g = -2*g + 5*y + 23. Let n = g + -3. Suppose 4 + n = j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*q + w, 4*q + 2*w + 49 = q + 44 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2578 and 0.89004.\nAnswer: 2578.89004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*d**2 - 4 + 1 + 13*d**2 to the form y + g*d**2 + k*d and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 540.004 + -0.004. Let v = -540.59 + z. Is v < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -68aba5?\nAnswer: -68ab96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 26. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/115)\/k**2)\/(k**(-7))**(-38))**(-1\/2) assuming k is positive.\nAnswer: k**(15409\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84, 123, 222, 411, 720?\n\"Answer: 5*z**3 + 4*z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 2:57 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 8*y + 18. What is g(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3530 and -1.122.\nAnswer: 3960.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q - 99*q - 2*q**2 - 148515 + 148511 in the form d + p*q**2 + v*q and give v.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (sqrt(252) + 0)**2 + 3 + -4*sqrt(252)*2*-4)*-1.\nAnswer: -960*sqrt(7) - 1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 24 = -5*w, 4*w - 3*m + 2574 - 2577 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 377 = 3*a + 2*a, 4*a + 684 = 4*x. Calculate the greatest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 34*(-21 + 22).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101.96*1\nAnswer: 101.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:32 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f + 23. Let r be s(-9). Suppose 0 = -j + 5*m + 3, 4*m + 6 = -j - 0*j. Sort r, -4, j in decreasing order.\nAnswer: j, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17504, 35012, 52518, 70022, 87524?\nAnswer: 105024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, d: 1, m: 2, w: 1}. What is prob of sequence mw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 = -5*z + 50, 5*z = -3*f - 51. Let x = -60 + 44. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6860, 13252, 19172, 24620, 29596, 34100, 38132?\n\"Answer: -236*v**2 + 7100*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 496e22 (base 16) to base 9\nAnswer: 10044234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 7 = 2*h - 9*s, -2*s - 19 = -h. Let v(b) = -4*b**2 - 45*b - 13. Let j(c) = c**2 + 11*c + 3. Let t(y) = h*j(y) + 2*v(y). Determine t(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + (-6 - (1 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-83)\/(-6) - (2\/(-12) - 0). Suppose 0 = 6*v + k + 22. Let y(a) = -4*a**2 + 5*a + 6. Let x(z) = 7*z**2 - 9*z - 11. Calculate v*x(j) - 11*y(j).\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2548)\/(-65) + (-156)\/130. Solve -4*m + 4*d = 36, o*m - 3*d + 35 = 33*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000548815084 to five decimal places.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q**2 - q + 10. Let l be j(7). Let s be 4 + -2 + l + -1. Let c(r) = r + 8. Let h be c(-6). Solve -s*p = 8, -4*p + 9 = -3*z + h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 4*u + 12, -u - 1336 = -3*m - 1344 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(154) + (sqrt(154)*1 - sqrt(154)) - sqrt(154)))\/(sqrt(847)*-2 + sqrt(847)))\/(sqrt(12)\/sqrt(6)*-2 + sqrt(32) + -1*sqrt(32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 17*r - 390. What is z(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79475 and 2200.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 + -28. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 - 32*v**3 + 31*v**3 - 4*v**2 - 11 - 2*v. Let w be x(-8). Solve j = 6*t - 4*t - w, 2*j + 6 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 771 and 73113.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*q + 77 = -85*q - 34*b, 5*q = -b + 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-211683\nAnswer: 105841.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -110.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1540605\/297 + (-2)\/9. Calculate the greatest common divisor of w and 931.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1678 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1173\/3519*(-1 - (-740)\/743). What is the nearest to z in 0.4, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18527 is divided by 712?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**2 + 9*g - 27. Let n be d(7). Let t be 448\/3 - (-2)\/3. Suppose -8*l + 3*l = -t. What is the greatest common divisor of n and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/2 + (-2)\/4. Suppose 3*c - 8*c = -5. List the prime factors of 8*c - (l + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 7, r: 5, i: 6, y: 1}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11671, -24686, -39027, -54694, -71687, -90006, -109651?\nAnswer: -130622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, w: 3}. Give prob of sequence kwww.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-6) - (-52)\/(-39)) + 7\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10707 is divided by 355.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -6\/7, 3515.\nAnswer: -6\/7, 3\/7, 3515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000181758935 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 116, 111, 94, 59, 0, -89, -214, -381?\n\"Answer: -o**3 + 2*o + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*a**4 - 8*a**3 - 93*a - 55060?\nAnswer: 68*a**3 - 24*a**2 - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751, -838, -909, -964?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 16*x - 62. Give b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d - 2. What is the third smallest value in d, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -146*r**3 - 10*r**2 - 5*r + 6. Let h be b(-1). Calculate the greatest common factor of h and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62423154793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 20. Let l(p) = -2*p**3 + 6*p**2 + 5*p - 5. Let h(n) = -2*n**3 + 5*n**2 + 4*n - 4. Give j*l(k) + 5*h(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 326591 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -142098, -142095, -142092?\n\"Answer: 3*x - 142101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 6.7.\nAnswer: 40.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 + -137. Is 4 a factor of (k\/(-20))\/(2\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 10, -5 = 2*q - 5*c - 21. Suppose -q*g - g - w = -363, -365 = -4*g + w. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101002 (base 3) to base 15.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30973279589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143.85 - 81844.15. Let w = -81988.054887 - i. Let c = w + 0.055. Round c to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204784, 409529, 614290, 819073, 1023884, 1228729?\nAnswer: 1433614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -1701*j**4\/2 - 2943*j**3\/2 - 771*j**2 - 162*j - 12 = 0?\nAnswer: -1, -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(51030\/(-15)))\/(14\/(-56)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-18))\/(8*(-13)\/30888)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-117)\/(-12))\/(-13) - (-1)\/(16\/26892)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 178203, 356407, 534611, 712815, 891019, 1069223?\n\"Answer: 178204*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 102. Let c = -24 - o. Suppose -4*u + c + 148 = -2*b, 5*b = -4*u + 212. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -21. Let y be (-76)\/k + (-1)\/(-3). Calculate the remainder when (-1)\/(-3) - 166\/y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239\/3 + -79. Let x = -1.2 + 0.2. Which is the nearest to x? (a) j (b) -4\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30371, -60724, -91077, -121430?\n\"Answer: -30353*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-288)\/(-36)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -4, 5 in decreasing order.\nAnswer: 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6900*j*s*t**3 + 3*j*t**2 + 26344*j*t - 7*j - 3*s**2*t**2 + 38*s + t**3 + 2*t**2 wrt s?\nAnswer: -6900*j*t**3 - 6*s*t**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -428148.6 and 170267.9?\nAnswer: 598416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 52\/3 (b) -394 (c) -2\/31 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 7*b**2 + 3*b + 10. Let w be u(-7). Suppose -y = y - 12. Let o(x) = -1 + y + 4 - 2*x. Let f(q) = -q + 5. Calculate w*f(z) + 6*o(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72.9 + -73. Let f = 0.089 + -0.589. What is the nearest to l in 5, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j - 5*j + 9*j**2 + (1 + 1 + 0)*(-j**2 + 3*j - 3*j) - 54*j + 121*j + 329*j**2 - 65*j.\nAnswer: 336*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -211914, -211910, -211906, -211902, -211898?\n\"Answer: 4*z - 211918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4*q**3 - b**3*q**3 + 100*b**3*q**2 + 2*b**2*q**3 + 1026*b*q**3 + 2 wrt b.\nAnswer: 72*b*q**3 - 6*q**3 + 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58210013.\nAnswer: 58210013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*a + 2*a, 3*t + 5*a = -8. Let o(x) = -1. Let w(v) = -4*v - 4. Calculate t*o(j) + w(j).\nAnswer: -4*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*x**3 - 105*x**3 - 98*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 50*i**2 + 54*i - 128. Let w be t(51). Let j(r) = -r**3 + 26*r**2 - 30. Calculate the remainder when j(w) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(153) - 3*sqrt(153))\/sqrt(9) + -1)**2.\nAnswer: 24*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 317731598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1037579 - -403834. Let x = 633784.0091 + p. Let z = -39 + x. What is z rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/((-4)\/(6 + -4)). Suppose 0 = 29*i - 26*i - w. What is the least common multiple of i and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 - -8919a?\nAnswer: 89163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than or equal to 2651\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-1) + 4*(-345)\/(-10) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.278 * -0.1.\nAnswer: -0.9278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 586907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -71, -69, -65, -59, -51, -41?\n\"Answer: v**2 - v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let s = 7 - b. Let r be (-24)\/36 + (-20)\/(-18). What is the closest to 2 in s, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4084, -10007, -17764, -27361, -38804, -52099?\nAnswer: -67252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91935 (base 11) to base 8.\nAnswer: -406123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3767286 less than -3767201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 24. Does 6 divide r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c - 67*c + 10 = 2*p, -3*p + 40 = -2*c for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 1. What is the third derivative of 3*t**2 + 9*t**3 - t**3 - t**h wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8394*k - 546669 + 100611 = 181650 + 60600 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 + 2209*s**2\/5 + 21090*s.\nAnswer: s*(s + 50)*(2*s + 2109)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*-3*19\/(-57)*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Let z(a) = 62*a - 2. Let v be z(s). Suppose -p = b - 62, -5*b + b = 3*p - v. Calculate the highest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2769257*j*n + 15332908*n wrt j?\nAnswer: 2769257*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 143 = -4*a, 0*a - 53 = -f - 4*a. Let h = f - 35. Solve -3*i + 30 = 5*m, 2*i - h = -5*m + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 12:25 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 21*w**3 + 336*w**2 + 15. Let m be t(-16). Solve 2*u + 18*p + 17 = m*p, -4*u - 2*p - 22 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15498373 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192 + 197. Let z be (2*2\/20)\/(7\/21). Let m = -0.2 + 0.4. Which is the nearest to z? (a) -3\/7 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 250.317 and 242204.\nAnswer: 242454.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 6:49 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -815603708*f**2 + 5148209*f - 29?\nAnswer: -1631207416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:32 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11 - 2897\/(-14)) + 1\/14)\/(-8 - -6).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + i = -54483. Suppose -6*n - 3*r - i = -10*n, 5*n - 5*r = 5235. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 49.5. Which is the nearest to 2? (a) x (b) 0.01 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -363, 53, 5, 2948 in ascending order.\nAnswer: -363, 3, 5, 53, 2948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 67 = -61. Sort 1, 5, -10, j in decreasing order.\nAnswer: 5, 1, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = l + 45, s + 9 = -l + 24. Calculate the remainder when s is divided by ((-3)\/(-6))\/((-6)\/(-132)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 20058\nAnswer: -13\/3343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -3*j - 4*j. Let r = j - -16. Is (2*-5)\/(-1)*(-481)\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -163*x + 8. Suppose 4*k = k - 5*l - 27, 21 = -3*k - 3*l. What is the tens digit of d(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 2*l**4 + 2 + 25 - 28 + l as i*l**3 + h + k*l**2 + z*l + c*l**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*m + 88 - 106, 0 = -5*m - 4*o - 34 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 + -355\/2. What is the second biggest value in -13, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6845782 divided by -362.\nAnswer: -18911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -38 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -340?\nAnswer: -3\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 490 - 180 + 560 = 0. Solve 49*d - b*d - 45 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*v + 21*v + 3164 = 5*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517 + 707 = 12*h. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -114. Which is the smallest value? (a) -2\/3 (b) h (c) 1\/9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 18 = q, 4*q - 6*q - 3*j - 16 = 0. Let g be ((-7)\/9 - -1) + 0. Let k be 6\/12 + 14\/(-88)*2. What is the second biggest value in k, g, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 105\/(-2)*(-1 - 1). Let k be (-60)\/8*(-4)\/6. Suppose k = 2*y - a. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 7. Let b(q) = q**2 - 2*q - 52. Let v be b(0). Let o = v + 59. Calculate the lowest common multiple of o and s(6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 5*w**2 - 6*w + 2. Let f be u(-6). Suppose -5*k + f*n + 14 = 0, k + 5*n = -4*k. What are the prime factors of 6 - (-3 + k - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 7*n**4\/3 - 114*n + 126. Let r(c) be the first derivative of i(c). Let u(v) = v**2. Determine u(r(l)).\nAnswer: 784*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.093+2366\nAnswer: 2366.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 82?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2*c + 0)*((2 - 2 - 2*c)*(-59 - 44*c + 59) - 4*c + c**2 + 2*c + c**2).\nAnswer: 180*c**3 - 94*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282799523.\nAnswer: 43, 61, 870301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 0.1. Let u be ((-4 - -10)\/(-3))\/5. Which is the nearest to u? (a) d (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -10)*(-4)\/24. Let s(x) = 19*x**3 + 4*x**2 - 3*x - 3. Let m(g) = -38*g**3 - 7*g**2 + 5*g + 5. Let z(n) = -3*m(n) - 5*s(n). Does 10 divide z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y + 10. Suppose 3*a = -3*z + 9, y*z - 6 - 12 = -4*a. Let v(c) = -c**3 + 7*c**2 - 9*c + 7. Calculate v(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63524 is divided by 4146?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 - 9029554*y\/5 + 20383211359729\/5.\nAnswer: (y - 4514777)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 315429426293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 7 = -4*q, -5428*h + 5419*h + 4*q - 10 = 43 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 14. Let u(z) = z - 8. Let s(o) = -3*j(o) + 5*u(o). Give s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (26\/(-39))\/(4\/(-474)) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o = 27925 - 28597 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 2*j**2 + 937*j\/3 + 2590.\nAnswer: -(j - 37)*(j + 10)*(j + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u - 40*u = -74*u - 6075. What is the greatest common factor of 10 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 4*o**3 - 2*o**3 - 1 + 4*o**3 - 275*o + 274*o in the form t*o**2 + h + d*o**3 + n*o and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4547?\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**15)**(-1\/21))**(-15))**2 assuming n is positive.\nAnswer: n**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 1017383*y\/2 + 1017385.\nAnswer: -(y - 1017385)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -15. Let l = -6 + p. Suppose -3*s = 3*f + f + l, -3*f - 20 = -4*s. What is the second biggest value in s, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 89 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(325))**2 + 0 + ((sqrt(13) + 1*sqrt(13))**2 - sqrt(13)).\nAnswer: -11*sqrt(13) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -13. What is the second smallest value in 1.3, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose -5 = 2*m + 5*g, g = -5*m + k*g - 56. What is the tens digit of (-65)\/m*((-2 - -1) + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-245)*-5*6\/(-4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13562 - 13571) + -4 + -2 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299324 + 111814 = -10*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8019 + 0.864. Let f = -0.062417 + u. Round f to 5 decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.036, -2\/7, -163.2, -1\/5, -1\/3?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-165)\/9)\/((-2)\/36). Suppose -5*o - 25 = 0, 2*o - 3*o = 5*n - f. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -11 - (-1 - -1 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 24*t - 19. Let r be y(25). Suppose -2482 = -r*d + 146. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30588*f**2 + 0 + 94*f + 1 + 2*f**3 - 378*f + 30588*f**2 in the form i*f**3 + v*f**2 + b*f + p and give b.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*h - f, -4*h + 2 + 40 = 2*f. Let y(n) = -n**3 - 5*n**2 - n + 4. Let u be y(-5). Calculate the highest common factor of u and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + -3 + ((sqrt(1539) + 4)*-2 - (sqrt(1539) - 1*(1 + sqrt(1539))))))**2.\nAnswer: 288*sqrt(19) + 6220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-5)*f*((f**(-1\/2)*f)\/f)\/f)\/(((f**5\/f*f)\/f*f)\/(f*f\/(f\/(f\/(f*f**(5\/2)\/f*f)))*f*f)))\/((f*f**(-2\/5))**(-17))**(-2\/15) assuming f is positive.\nAnswer: f**(-9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(833) + 1) + -1*sqrt(833) + 5 + 1 + 3*sqrt(833)*1 + -2 + 3)**2.\nAnswer: 1456*sqrt(17) + 53481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3 + sqrt(325) + 5*sqrt(325))*-2 - (-5 + sqrt(325)*-6 + 1)**2).\nAnswer: -70260 - 1800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -10\/7, 69?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q. Let t(z) be the third derivative of z**7\/1680 + z**5\/30 + z**2. Let v(y) be the third derivative of t(y). What is v(r(b))?\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58598 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)*-2*-4)\/((1*sqrt(12))\/sqrt(4)) + 3)**2 - (3*(4 + sqrt(153) + 1)*-3)**2.\nAnswer: -13321 - 2382*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apmmhaampmpvvhvp. What is prob of sequence hmv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k - 5065 = 71399 - 6570. What is the remainder when k is divided by 212?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dde when three letters picked without replacement from eediidedldllllve.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 - 0.5. Let a = -536 - -541.22. Let m = a + -4.72. What is the closest to b in m, 0, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2096, 2097, 2098, 2099, 2100?\n\"Answer: l + 2095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -95476539 and -95476541 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306879 is divided by 461375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 3*r + 1. Let c(s) = 2*s + 1611*s**2 + 2*s - 539*s**2 - 534*s**2 + 1 - 534*s**2. Calculate -3*c(y) + 4*l(y).\nAnswer: 4*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -269*g + 3782. Let u be z(14). Let v(k) = -k**3 - 7*k**2 - 10*k - 6. Let h be (12\/(-10))\/(3\/15). Let l be v(h). Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*805\/(-46)*4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53341958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from cpppdpdcbdpdpcpdd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 25. Let a be s(22). Let k(y) = 5*y - 2 - 1 - y. Determine k(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 10*t**2 + 9*t + 1. Let j be x(9). Which is greater: 1\/8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 61*f - 2. Give g(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*c**2 - 23 + 37 + 94*c**2 - 14.\nAnswer: 193*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 4*i - i)*(283*i + 206*i - 193*i) to q*i + f*i**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.9 + -18.13. Let z = -0.23 - h. Sort z, -3, -0.8.\nAnswer: -3, -0.8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0316 - 260.0316. Let r = 259.9747 + c. Round r to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -706, -1036, -1366?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 - 1. Let g(d) = -27*d**3 + 5*d**2 + 15. Let y(b) = g(b) - 5*m(b). Differentiate y(z) wrt z.\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -5 - 7\/(-4). Which is the second smallest value? (a) -9 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d + 3 = 0. Let k = 4 + -3. Put k, d, -1 in descending order.\nAnswer: k, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let l(r) = -8*r - 2. Determine 3*i(h) + l(h).\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/6 + 35*u**3\/6 + 4*u**2 + 8. Let s(c) be the second derivative of p(c). Differentiate s(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 4 - 4*v - 2*v**2 + 0*v + 2*v**3 - 3 + 0*v as c + n*v**2 + d*v + m*v**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.2 (c) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 3. Let i = -4 + t. Suppose -45 = -i*c + 3*r, -5*c - 4*r + 28 = -29. What is the highest common divisor of 39 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (162\/(-36))\/(2\/((-104)\/(-3))). Let t = i + 68. Let d = t - -15. Solve 4*r + d = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23713487.02 from -11.22.\nAnswer: -23713498.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(2*h - 4*h + 0*h) + 2*h - 1 + 1 - 149*h + 40*h + 25*h.\nAnswer: -78*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -393 - -398. Calculate the remainder when 447 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 39648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 25 = 5*g. Let j = -31 - -53. Let u = j + -13. Calculate the highest common divisor of u and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*t - 43*t**4 + 28*t + 13*t + 15*t wrt t?\nAnswer: -516*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:35 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*w + 60 = 3*w, -20 = -2*n - 3*w. What is the common denominator of (-182)\/(-8) - 8\/n and 51\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 - -3 - -1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147392 - 153840 = 62*p for p.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 114\/(-8)*(-55594)\/(-105). Let h = j - -7539. Let s = -814 - -4903\/6. What is the common denominator of h and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36963?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/2 + 7*x**4\/2 - 81*x**3\/2 + 221*x**2\/2 - 116*x + 42 = 0.\nAnswer: -14, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + k + 91 = 0, -3*k + 111 = 25*q - 21*q. Calculate the highest common divisor of q and 696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.45 + 20. Let o = n - -0.05. Let u = o + -0.5. What is the closest to u in -0.5, 0.3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -756, -723, -694, -669, -648, -631, -618?\n\"Answer: -2*s**2 + 39*s - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*g + 140*g - 2814 = 0. Sort 4, 1, g, -1 in ascending order.\nAnswer: -1, 1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Suppose 3*a = -4*m + 4*a + 177, -4*m + 4*a = -192. Is 14 a factor of (-2 + c)\/2 + m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1629 in 0.3, 0, 4.1, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/27 - (71 - 544530\/7749)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -133 (c) -38\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -172, -190, -210, -232?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13271*k**4 + 7*k**3 + 137125?\nAnswer: 53084*k**3 + 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**2 + 59494*l + 202164.\nAnswer: 2*(l + 5946)*(5*l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 + -311. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 2*v + 2. Let c(l) = l**2 - l + 1. Calculate -4*c(z) + w(z).\nAnswer: -3*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 49. Solve 0 = -2*f - 5*j - l, -j = -f + 5 - 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5567*o. Let p(x) = 2*x**2. Determine p(a(y)).\nAnswer: 61982978*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -36*z**3 + 13*z**2 - 7*z + 12. Let g be h(4). Does 25 divide g\/(-5) - (-8 + 148\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 59. Suppose 0 = 4*r + w*i - 54, -r + i = -0*i - 9. Which is the second smallest value? (a) -5 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*j = 180*j + 96 + 4. Let c = 4 + -4. Let h be c\/2 + (-2)\/(-2). Solve 3*u - j = -h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Is (-4)\/12*-43*a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 1, v: 4, z: 2, e: 1, d: 7}. What is prob of sequence dne?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 23 = -17. Let w(t) = t**3 + 4*t**2 - 5*t + 4. Calculate w(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 236a7?\nAnswer: -236a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/18 + ((-120)\/54 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**2 + d**2 - d**2)*(999 + 525 + 311 + 569).\nAnswer: -19232*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -6627881?\nAnswer: -6627877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 1 - (-20 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55556582009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 483, 983, 1503, 2043?\nAnswer: 2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 + 1721788*d**2\/3 + 370579570130*d\/3 + 1482235635848.\nAnswer: 2*(d + 12)*(d + 430441)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 5*i - 4*c, 2202*c = 20*i + 2235*c + 2178 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861 = -3*h - 0*v + 3*v, 4*h - 5*v - 1153 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y**2 + 13 + 9*y**3 + 13*y - y - 8*y**3. Let n be c(-11). Does 2 = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249238 divided by -8?\nAnswer: -124619\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ojoj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v - 24 = 0. Let k(o) = -o**2 + 11*o - 25. Let n be k(v). Let t(d) = d**2 - d - 1. Give t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.122 * -52.3.\nAnswer: 6.3806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3049312.508202 + 3049300. Let v = m - -12.51. Round v to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*v**5\/4 + 41*v**4\/4 + 85*v**3\/4 + 71*v**2\/4 + 4*v - 1 = 0. What is v?\nAnswer: -2, -1, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51694333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 = 0, -5*a + 871 - 829 = 2*u. Calculate the smallest common multiple of 426 and a.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16362, -16654, -16946, -17238, -17530?\n\"Answer: -292*x - 16070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -199.27 and -0.5.\nAnswer: 99.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(3\/5))\/(i*(i\/(i**(8\/11)*i))\/i))\/(i*i*i*(i*i**(-17))\/i*i*i*i\/(i\/i**(-17))) assuming i is positive.\nAnswer: i**(1657\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 564, 650, 848, 1206, 1772?\n\"Answer: 8*z**3 + 8*z**2 + 6*z + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3347 + -3442 - ((3 - 1) + -36)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546701 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6789 = -9*p + 6954. What are the prime factors of p?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, -27, 2, 1, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176414 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o - 14. Let y(n) = -5*n + 7. Let h(f) = -6*r(f) - 11*y(f). Let p be h(8). Solve -5*m + g - 15 = -2*g, -3*g + p = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4705, -18815, -42331, -75253, -117581, -169315, -230455?\nAnswer: -301001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 + q**3 - 2027976*q**2 + 6863733*q wrt q?\nAnswer: -40*q**3 + 6*q - 4055952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 348 - 147 = 0. Let a = -82 - o. Find the second derivative of -14*y**4 + 17*y**4 - 48*y + a*y**4 wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**5*q*q)\/q**(-3))\/(q**6\/q**(1\/4)))**2)**(15\/2) assuming q is positive.\nAnswer: q**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*(-30)\/2850*(-2)\/(-22)*-30?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 10*x - 12. Give s(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 250001*q**3 + 0*q**2 + 0*q**2 - 1. Let y be s(-1). What is y rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (134*1)\/((-32)\/((-1056)\/33)*-2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -79131 * 0.3\nAnswer: -23739.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 429\/(-44))\/(3\/4). Find the third derivative of -61*m**3 + 205*m**3 + 48*m**3 + 5*m - 4*m**2 - q*m wrt m.\nAnswer: 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(28 - (-3 - -5)). Let f = -8 + y. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113210169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.901307um?\nAnswer: 0.000000008901307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (54 + -55)*(2 - 33) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*-6*60\/9. Suppose -4*i - a = -8*i. Let o(l) = l**3 - 5*l**2 + 2*l - 7. What is o(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/10878 and -57\/407.\nAnswer: 119658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*u - 44 = -3*l, 12 = 4*u. Calculate the highest common factor of 35 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7913 + 7*k**4 + 2*k**4 + 7911 + (4 + k**2 - 4)*(3*k**2 + k**2 - 6*k**2) + 2*k**4 - 4*k**4 - 4*k**4.\nAnswer: k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2237.2 - 2237. Which is the smallest value? (a) -4\/5 (b) z (c) -0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 1. Let a(b) = b. Let j be a(-3). Let s(f) = f**2 + 3 - 1 + f**2. Let g(k) = -k - 1. Let z be g(-6). Give j*s(q) + z*u(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -168450.38 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -746764 take away -1.09?\nAnswer: -746762.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8909 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 1. Let z(k) = -5*k - 2. Let b(m) = -2*o(m) + 3*z(m). What is b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85025109 + -158808441. Let w = q + 73783332.32400243. Let n = -0.324 + w. Round n to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-140))\/((-4)\/6)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 50. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(1331) + 0 + 3 - (2 + -6*(1 + sqrt(1331) + 4)))*5.\nAnswer: 150 + 385*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -267267 by -6853.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 2.4, 0.6 in decreasing order.\nAnswer: 5\/2, 2.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:49 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1, 0.9, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -483*q - 10. Let v be j(-1). What is the highest common divisor of v and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.9 + -42. Which is the nearest to g? (a) -1\/2 (b) 4\/15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -332 + 439. Let a = c - -399. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {u: 9, m: 1, z: 8, b: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -3*x**3 + 5*x**2 + 15*x + 2. Let z(f) = 5*f**2 - 5*f - 8. Let m(k) = 4*b(k) + 7*z(k). Give m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -61, -98, -151, -226, -329?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = -m. Let o be (28\/63)\/(m - 1). Let i be -1 + (9\/(-4) - -3). What is the second smallest value in -1, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/3, 4, 5, 100.9.\nAnswer: 1\/3, 0.5, 4, 5, 100.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5167, -5173, -5183, -5197, -5215, -5237?\n\"Answer: -2*i**2 - 5165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(32) + 2)**2 + sqrt(18)\/(-2*2*sqrt(9)).\nAnswer: 31*sqrt(2)\/4 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-7))\/(19\/(1995\/(-330))).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 11:33 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*(6\/9 - 2). Let m be (-2)\/(-6) + (-14)\/78. Which is the third biggest value? (a) 2\/11 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3960 and 1863000?\nAnswer: 20493000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-15) + (-3770)\/25. Let l = 3243 - 3243. Put -5, b, l in descending order.\nAnswer: l, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(1 - 3)*4. List the prime factors of d\/(200\/1485) - (-2)\/(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -119*l**4\/4 + 6*l**3 + 2*l**2 - 76. What is the third derivative of n(i) wrt i?\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169 times 59\nAnswer: -9971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**3 - 15 + 25*d + 8*d**2 - 15 + 2*d**2 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8820133176.\nAnswer: 2, 3, 47, 97, 80611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 - (18 - 4 - 21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-34))\/(13\/416)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15590036459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**14)**16)**(-5) assuming a is positive.\nAnswer: a**(-1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378)\/252)\/(6\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262712 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67*i**3 - 6*i**2*x - 812*x wrt i?\nAnswer: 201*i**2 - 12*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 - 1.7. What is the fourth smallest value in v, 0.3, 2\/21, 0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 2:28 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**7\/105 + 453*i**6\/40 - 131*i**5\/60 + 2*i**3\/3 + 7*i**2 + 10. Find the third derivative of y(h) wrt h.\nAnswer: -48*h + 8154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7683*t**3 + 2*t + 3*t - 6*t + 5825*t**3 - 140*t**3 in the form w*t + u*t**2 + m + s*t**3 and give s.\nAnswer: 13368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/250 and -2\/715.\nAnswer: 35750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 156861709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 452393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5379752506?\nAnswer: 2, 2689876253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(1 + 1 - 0). Factor -4*x**3 - x**3 + 4*x**m + 4*x**3 + 2 - 106*x + 101*x.\nAnswer: -(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebkb when four letters picked without replacement from bdkhkedbkkhdkk?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -37*k**3 + 6*k**2 - 30*k + 7. Let j(u) = 17*u**3 - 3*u**2 + 14*u - 3. Let v(m) = 13*j(m) + 6*n(m). Calculate v(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r. Let z(m) be the first derivative of -m**3 - 19. What is i(z(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from yyyymyyymyymyyyy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*k**4 + 4*g**2*k**2 - g**2*k + 458490*g*k**5 + g*k**2 - g + 32*k**2 wrt k?\nAnswer: 24*g**2*k + 27509400*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 - 3*p + 7. Let b be l(-5). Suppose 5 = m + 2*x, 2*x - 17 = 2*m - 3*x. Which is greater: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062.9175 days in weeks?\nAnswer: 294.7025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6929 - 6934. Let f = -0.01 + 10.01. Let m = -0.2 + 0. What is the second biggest value in m, z, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -55, -124, -223, -352?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3223333 (base 4) to base 2\nAnswer: 11101011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a, -248*w = -249*w + a - 2. Let t be 2\/6 - 14\/(-3). What is the nearest to -0.1 in -0.2, t, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 2, w: 1, h: 1, f: 1, c: 1}. Give prob of sequence cw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from vvvvvvvrvvvvrvr.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 v when four letters picked without replacement from {y: 8, v: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**(-1\/4)\/(((f*f*f\/(f\/f**2))\/f)\/f*f**0*f) assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*q - z - 3, -4*q - 2*z = 0. Calculate the common denominator of 59\/36 and (q\/(-10))\/((-4)\/(-770) - 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1209629787722 + 1209629816023.34783034. Let c = -28324.34783 + h. Let v = c + 23. Round v to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2\/4 + 33*y - 315 = 0. Calculate y.\nAnswer: 14, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**12*(z**13*z)\/z*z)\/(z\/(z*z\/(z*z**(-7)*z)))**34 assuming z is positive.\nAnswer: z**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b**5 + 36*b**4 + 30*b**3 + 8*b**2 = 0 for b.\nAnswer: -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-20))\/((-446)\/4460)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w - 25 = 0. Let l = w + 33. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-30) + ((-93633)\/(-36) - 1). Let s = l + -2589. Find the common denominator of s and -113\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -18\/7*a**7 + 248\/15*a**5 - 28\/9*a**4 + 130*a + 0 - 118\/5*a**6 + 0*a**2 + 0*a**3. Factor m(i).\nAnswer: -4*i**2*(i + 7)*(9*i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 4. Let x(t) = -3*t + 7. Determine -3*x(a) + 7*z(a).\nAnswer: 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -11*g**2\/2 - 56*g + 1694. What is b(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/9 - 22*y**4\/3 - 122*y**3\/3 + 2*y**2\/9 + 152*y - 104 = 0.\nAnswer: -26, -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 + 4132*h**2 + 195652*h + 77600 = 0.\nAnswer: -776, -50, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3*s**3 + 2*r**3*s + 140*r + 426*s**4 wrt s.\nAnswer: 6*r**3*s + 5112*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i - 12*i - 2 = -56 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4961\/19 or -260?\nAnswer: -4961\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45999 (base 14) to base 9.\nAnswer: 277182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 at least 714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2292, 4592, 6892, 9192, 11492, 13792?\n\"Answer: 2300*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -91. What is the second derivative of 18 - 6*o - 18 + 13*o**4 + 0*o**k wrt o?\nAnswer: 156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3037 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, -21, 4, -100 in descending order.\nAnswer: 4, 3, 1, -1, -21, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.255 (b) 0.2 (c) -3\/4 (d) -4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-14)*w*w**(2\/3) assuming w is positive.\nAnswer: w**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-63) - (-1714)\/18. Let k = y + -83. Suppose s + k = -2*s, 4*s + 606 = 5*x. Is 26 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27816 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 256) + 1*(-2 + -1). Let y = 255 + q. Solve y*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 912 and 5244.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1, 20, -130, 10, 3 in ascending order.\nAnswer: -130, -1, 3, 10, 20, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = -l - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(400) + sqrt(400))\/((-1*sqrt(6))\/sqrt(3)) - 2*(sqrt(98) + (-2 + sqrt(98))*4).\nAnswer: -90*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8455, 8234, 8013, 7792?\nAnswer: 7571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 - 161. Let r be c(-12). Let s = -248 + r. List the prime factors of s.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 3*h + 6*h - 2*h + 2 - 2 + (-12 + 39 - 9)*(2*h - h + h) to the form x + v*h and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + 51. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g*n**5 + 54*g*n**3*y**3 - 3*g*n**2 + 52*g*n*y**3 - 3*n**2*y**3 wrt n.\nAnswer: 660*g*n**2 + 324*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 - 2954*x**3 - 220350*x**2 - 2948246*x - 2730848 = 0 for x.\nAnswer: -1399, -61, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 - 35*v - 34 = 0. What is v?\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110931\/1428102 + 4\/(-104).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**4 - 25*d**2 + 26.\nAnswer: -12*d**3 - 50*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 225*x**2 + 7516*x - 5151. Determine r(-184).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.67 - 27.5. Which is the biggest value? (a) 4\/5 (b) -0.1 (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.3. Let h = -146 + 151. Sort h, q, 3, 0.3 in decreasing order.\nAnswer: h, 3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57782050*n + 57782050*n - 145*n**3 - 239*n**3.\nAnswer: -384*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*l - 798*l = -60*l + 681*l - 101848 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - 5*sqrt(209)*-3)\/(6*sqrt(11)*-6).\nAnswer: -4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*j, -5*m = 2*j + 4 + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b - 4. Suppose 0 = -3*u - 5*m + 31, 3*u + 2*m = 3*m + 1. Let k be y(u). Find the second derivative of -7*n - 7*n + k*n**3 + n wrt n.\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o. Let n(l) = 26*l + 363763 - 26*l - 3833*l**2 - 363763. Calculate n(b(t)).\nAnswer: -61328*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1648.\nAnswer: 1\/1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*p + 3*p. Let u = p - -61. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/47, 1, 0.1?\nAnswer: -7\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -5) + 0 + (-5 + 44 - 41).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -j + 2*j + 2, -5*j = -20. Is k - (10\/(-20))\/((-1)\/(-66)) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27035 + -3?\nAnswer: 27032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 481501*a. Let y(l) = 3*l**2. Determine i(y(m)).\nAnswer: 18*m**4 + 1444503*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 16907977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-18)*f*f**(-3\/2)*f*f assuming f is positive.\nAnswer: f**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -3 - z + 1\/6*z**3 - 1\/4*z**2. Factor k(r).\nAnswer: (r - 2)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-39)*v*(v*v**(-3\/19))\/v*((v\/v**(-41))\/v)\/(v**(-38)*v) assuming v is positive.\nAnswer: v**(2258\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -675, -1352, -2031, -2712, -3395, -4080?\n\"Answer: -p**2 - 674*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -249903391 divided by -2\nAnswer: 249903391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1736 + 2771. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5\/3, -0.5, -2408?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:19 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 10, -2\/5 in ascending order.\nAnswer: -1, -2\/5, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12570 is divided by 126?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2317*s + 2504*s - 12154*s - 2226*s to the form t + b*s and give b.\nAnswer: -14193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 + 24 = -108*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 3*f + 3, 152*s - 3*f - 39 = 163*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + -3*sqrt(117)*-6)*-2)\/((sqrt(144)\/sqrt(8)*-5)\/sqrt(2)))**2.\nAnswer: 18772\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11058 by 18.\nAnswer: 1843\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 74 - 10. Let k = n + -11. Let p(d) = d**3 + k*d**2 - 229*d + 5 + 0 + 232*d. Calculate p(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**3 + 2*z**2. Let n be j(2). What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12*o**3 - o - 2. What is the tens digit of g(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12445.\nAnswer: 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 - -176. Let z = -60.5 - g. Let h = 0.14 + -0.2. Sort z, 0.2, h, 0 in increasing order.\nAnswer: h, 0, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 3, z: 3, t: 8}. What is prob of sequence zu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 168*r**2 + 898*r + 25674. Give y(174).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6 and -0.472.\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**3 - 52 + 52.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c - 1. Suppose -10 - 5 = -c*q. Calculate the remainder when 10 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 4. Let n(t) = -2*t - 3. Let u(k) = 3*i(k) - 4*n(k). Let b = -557 + 564. Let d(j) = -24*j - 25*j - 10*j + 2*j + b*j + 2. What is u(d(q))?\nAnswer: 50*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**2 - 7*k**2 + k + 23*k**2 + 1 + 2*k**3 - 5*k**2 in the form o*k**3 + a*k + w + t*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 86 = -2*k + 3*n, k - 91 = 2*n. Calculate the remainder when k is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153 + 130. Let v = b - -23. Solve v = 3*g - 12*g - 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*d - 103 + 190 = 0, -48 = 3*h - 3*d for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/20 - 479*m**3\/10 - 157*m - 2. Factor k(x).\nAnswer: -3*x*(x + 479)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnybmnsyp. What is prob of sequence pmy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b (base 12) to base 2.\nAnswer: 11101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27145\/3 - 9185. Let z = -19075\/141 - w. Let i = 17\/658 - z. Calculate the common denominator of 109\/12 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/6 - 8)*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 = 6*x - 177 - 122 + 163 for x.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-32))\/((-1)\/2). Which is the closest to 1? (a) y (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*w**3 + 292*w**3 - 564*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 382512.6m?\nAnswer: 382.5126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6.1*22680\nAnswer: -138348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223519 divided by -3?\nAnswer: 741173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3100095 + 0.013.\nAnswer: 3100095.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2056051ml to litres.\nAnswer: 0.0002056051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35831543 to the nearest integer?\nAnswer: 5986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgpg. Give prob of picking 1 p and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -800 - -801. Let o be 41 + -34 + 1\/(u\/(-5)). Solve 5*c = o*y, -3*y + 5*c = 2*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 87. Let w = -40 + q. What is the least common multiple of w and 6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -0.1 (c) 169 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from cuuugnuj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuunqnuqzq. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giiiivdivipg. What is prob of sequence pdv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + 8*u**2 - 9*u**2 - 13*u**2 - 6*u - u**3 to x*u**2 + j + s*u + o*u**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468873, -468877, -468879, -468879, -468877?\nAnswer: -468873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6.24. Let h = d - -0.74. Let a be 3 + ((-26)\/12 - 1). What is the nearest to -0.1 in h, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 46 = -4*k - 2, -42 = -2*h - 2*k. Let l(w) = w**3 - 21*w**2 - 20*w - 45. Give l(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-472 + 0)*(-109)\/218 is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 25 = -0*r - 4*a, -45 = -r - a. Let x be (-4)\/26 + r\/13. Suppose z + 130 = x*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 3*c**2 + 1. Let q be k(2). Suppose -4*p - 9 = z - p, -5*z + q*p + 35 = 0. What is l in 4\/5 + 6\/5*l**2 + 14\/5*l**z - 14\/5*l - 2*l**4 = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3\/(6\/(-4))). Sort 5, -4, s, -5 in decreasing order.\nAnswer: 5, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 391 + -210. Is a a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128378\/9 + -14264. What is the fourth biggest value in j, -26, 28, -0.4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 13. Suppose -6*g = -g - r. Let t(u) = -2*u - 5. Let x(s) = -1. Give g*t(p) - 6*x(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2, 5, 12728 in decreasing order.\nAnswer: 12728, 5, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2. Let i(t) = 5*t - t**2 - 6*t - 4*t. Let l(h) = h**2 + 4*h. Let d(j) = -4*i(j) - 5*l(j). Give d(r(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1406*j**3*s**5 + 480*j**3 - 6*j**2 - 4965*j*s**3 - 576*j*s - 3*s wrt s.\nAnswer: -28120*j**3*s**3 - 29790*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 14, s: 4}. What is prob of picking 2 s?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - (-9 + 43)) + 72?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**2 + 17*c + 23*c - 33 - 40*c in the form j + n*c**2 + y*c and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7) - (756\/(-147) + -25)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 - 235*r + 871. What is g(35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + 3 - (-1 + sqrt(1584))) + 3.\nAnswer: -11*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((3 - 7) + 4)\/(-2 - -3). Suppose -11 = 2*v + 3. Let x(u) = -u - 4. Let i be x(v). Solve 0 = -i*h - 12 - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1050245*h**2 + 244764?\nAnswer: 2100490*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 1. Suppose -5*d = 5*j - 10 - 25, -3*d + 11 = j. Let u(p) = -8 + d + 1 + 4. What is t(x) - 3*u(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1500*j + 288. Calculate b(-1).\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70460255 to the power of 1\/2, to the nearest integer?\nAnswer: 8394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 30 - 73*i**3 - 2*i - 113 + 70*i**3 to the form w*i**3 + m + s*i + r*i**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -644 - -704. Calculate the greatest common factor of c and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1635*i**3 - i**2 + 1. Let f be x(-1). Let y be 5\/(-15) + f\/9. Let v = -115 - y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34305423502 + 1?\nAnswer: 34305423503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -11532077\/14 and -823719 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 5*r - 5, q + 9*r = 4*r + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k + 9 = 52*k. Let f(i) = -i**2 + 4*i + 2. Give f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 28. Suppose 0 = -3*w - 504 + 513. What is the second derivative of 43*q**w - n*q - 10*q**3 + 9*q**3 + 0*q wrt q?\nAnswer: 252*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/5 + 80428*r**3\/5 - 10122576*r**2 + 10691818048*r\/5 - 754208499968\/5.\nAnswer: -2*(r - 39578)*(r - 212)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 4*g - 10, -3 = f - 2*g + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(700)) - sqrt(700))**2.\nAnswer: -1200*sqrt(7) + 17644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*2*5\/4. What is the smallest value in 2\/5, -2, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + 154 + 311*s**3.\nAnswer: 311*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -160 - -195 - (21 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13184 is divided by 2355?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -627*o**2 - 494*o**2 + 36*o**2 + o**3 - 360*o**2 - 128*o**2.\nAnswer: o**3 - 1573*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*k = 76 + 16, 3*a + 58 = -k. Let r(p) = -p**3 - 16*p**2 + 20*p + 5. What are the prime factors of r(a)?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145423644 divided by -36355911\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -474424.1 rounded to the nearest one thousand?\nAnswer: -474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -3. Let c be 172\/(-301) + (10\/(-42))\/(-1). What is the third biggest value in c, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 10:49 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3135008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5426117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryry when four letters picked without replacement from yyyyryyyryry?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 11. Let a be b(5). Let x be -15*-2*2\/a. Is 15\/x*(-148)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -650 + 326 + 2034*i**4 - 1454*i**2 + 324 wrt i?\nAnswer: 48816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 7:16 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*p - 25 = 0, -47*l + 44*l - 6*p - 27 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzroboboftrrborfrtro. Give prob of picking 1 b and 1 o.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/7462092 and 29\/2996143.\nAnswer: 395490876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38034*z**2 - 38038*z**2 - 38035*z**2 - 38030*z**2 + 68 - 68 + 152133*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, 1\/15, -5, -4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -221 - -211. Let y = v + 8. Put y, 3, 6 in descending order.\nAnswer: 6, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*u + 1 + 5 = 0, 0 = -2*u. Let c(o) = 4*o**2 - 1 - 3*o + 2*o**2 - o**d + o + 3*o. Let v be (5\/(-1))\/(19\/6 + -4). Give c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 952 - 4*z**2 - 5*z**2 - 5*z**2 - 954*z + 5*z**2 + 11*z**2.\nAnswer: 2*(z - 476)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3921175 and 4682.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 9:46 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3251764*v**2 - 2*v. Let p(r) = 2*r. Give p(o(q)).\nAnswer: -6503528*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 63 - 43. Is 4 a factor of 37 + l + -2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(-1)\/5*3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -276, -76, 592, 1728, 3332, 5404?\n\"Answer: 234*j**2 - 502*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -3c?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 55 - ((1 - -9) + -8)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 5*v - 6. Let z be a(-6). Let p(b) = b**2 - 8*b + z*b**2 - 3*b + 10*b. Let o(r) = 6*r**2 - 5*r. Suppose -1 = 2*s - 9. Give s*p(f) - o(f).\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -2, -5, 1\/5, 4\/11, 3 in ascending order.\nAnswer: -5, -2, 1\/5, 4\/11, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*x - 2*x - 1611, 0 = -x + 2. Is -316 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3719 greater than -3718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*45677\nAnswer: -18270.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -760, -990, -1220, -1450, -1680?\nAnswer: -1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 28. Give q(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2 - 3*g**3 + 2*g**3 + (-3 + g + 3)*(4*g**2 - 3*g**2 - 4*g**2).\nAnswer: -4*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 12) in base 3?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/27 (c) 1\/2 (d) -2718 (e) -2\/183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and 2275.3308.\nAnswer: 2263.3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 51248688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - -2*-3*sqrt(3)) + sqrt(3))**2 - (sqrt(147) + sqrt(147)*2 - sqrt(3)).\nAnswer: -20*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 times 0.4?\nAnswer: -138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (0 - (38 - 20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.02, 2, 0, -0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 4*i**2 + 72168*i**3 - 4*i**2 - 72172*i**3.\nAnswer: -4*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -17, -8 in increasing order.\nAnswer: -17, -8, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 6*z**2 + 7*z - 7. Let m(a) = 3*a**3 + 19*a**2 - 22*a + 21. Let v(j) = 7*h(j) + 2*m(j). Let i = 6 - 12. Is v(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.032.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (-8 - (-11 + 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4 - 2786*k**3\/3 + 77774*k**2\/3 - 386206*k\/3 - 137480\/3 = 0. Calculate k.\nAnswer: -491, -1\/3, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = 92*u + 10*u + 258*u + 165 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -31, 2, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/32)\/(7\/(-84)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 198934.91 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:54 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-15))\/((-18)\/(-45)). Suppose 24 = h*q - 10*q. Are -63\/13 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -21. Let j be (-4)\/(-1)*34\/8. Let k = j - 15. Solve 2*v = -2*n + 7*n - 11, -v + k = z*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**7\/105 + 124*u**6\/5 + 17*u**5\/30 + 59*u**4\/24 - u**3\/6 + 9759*u**2. What is the third derivative of b(i) wrt i?\nAnswer: -48*i + 17856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = 0, -4*x = -0*x + a - 4. Suppose x = 3*p - 6*p - 6. Let w(y) = -y**2 - 4*y - 3. Let z be w(p). Are z and -2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 113 = 5*n. Let u = 30 - n. Let f = u - -142. Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from ffiffffffqiqffqqqq.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(40)\/(sqrt(2)*-1) + 4 + sqrt(80) + sqrt(60)\/(sqrt(15)\/sqrt(5)))**2 + -4.\nAnswer: 64*sqrt(5) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 6. Let y be o(-9). Suppose 11*i = y + 7. What is the derivative of -84*z + i*z**4 + 84*z + 10 + 0*z**4 wrt z?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6721, 13479, 20263, 27073?\n\"Answer: 13*s**2 + 6719*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m - 24. Let l = m + 12. Solve j - 2 = -0*j, -5*j + 10 = l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n - n)*(77*n - 32*n**2 - 77*n) + (-2*n - 3 + 3)*(-2*n + 2*n + n**2).\nAnswer: 94*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*v + 20, -3*v = -2*o - 7*v + 22. Let x be (-5)\/5*(o + 2). Is ((-2)\/(-6))\/(x\/(-189)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 665442 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3682240 is divided by 887.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -29, 0, 2\/7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 + 0.73.\nAnswer: 134.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/6840 and -35\/25992.\nAnswer: 129960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, g: 1, o: 7}. What is prob of sequence woo?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 6*k - 10. Determine m(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*z**3 + 14*z**3 + 2*z**3 - 11*z**2 wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89 * 0.5.\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34036 in 0, 4\/7, -1, 0.03?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 98a643 (base 12) to base 13\nAnswer: 66b187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13608311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 295 = 17*u. Let m(s) = -5*s**2 - 7*s - 15. Let n(y) = y**2 - y + 1. Let i(w) = -m(w) - 6*n(w). What is i(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-20)*j)*j*j**3*j\/j**(-5\/3)*j*j\/(j\/j**(-41)) assuming j is positive.\nAnswer: j**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 - 8*j**2 - 8*j - 2. Let n(i) = i**3 - 3*i**2 - 3*i - 1. Let t(m) = 7*m**3 + 3*m - 2. Let y be t(1). Calculate y*n(k) - 3*r(k).\nAnswer: -k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3003 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 54\/5, 0.3, 1 in decreasing order.\nAnswer: 54\/5, 1, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(51))\/sqrt(3) - (1 + sqrt(17) + 0) - (-4*5*sqrt(102))\/sqrt(6)) + -2)**2.\nAnswer: -96*sqrt(17) + 4361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o - o + o - o + o - o + (-1 + 3 + 0)*(-2*o - o + o) + 0*o - o + 2*o + 9 - 9*o - 5*o + 16*o.\nAnswer: -6*o + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564637 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 8, -1925, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1925)\/(-125) - 15)\/(8\/80). Factor -12\/7*k**2 + 0 - 1\/7*k**w + k**3 + 0*k.\nAnswer: -k**2*(k - 4)*(k - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, p: 8, g: 3, m: 2, n: 3}. Give prob of sequence mp.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*g - 4*g**2 - 45*g + 2 + 6*g**2 + 15*g as r*g + t*g**2 + w and give r.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0*a**5 - 7\/3*a**4 - 35*a**2 + 0*a + 0*a**3 + 0 - 1\/20*a**6 - 1\/35*a**7. Find the second derivative of n(y) wrt y.\nAnswer: -72*y**2 - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7) + 32\/(448\/45)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (9 - (11 + -5)) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j + 2. Let m be 4 - 6\/j - 2. Suppose 0 = -m*f + 2*x + 104, f - 4 = -5*x + 6. Calculate the highest common factor of 60 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*-1 + sqrt(13))*6 - (sqrt(13) + -2*sqrt(13)*1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4\/8 - 2*o + 1. Let j(a) be the first derivative of c(a). Factor j(z).\nAnswer: 3*z**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.55 + -1.45. What is the closest to -4 in r, -2\/7, 0.07?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3206911 - 19867.\nAnswer: -19866.6793089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49007, -81537, -114067, -146597, -179127?\n\"Answer: -32530*k - 16477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/9 - 78\/117. Put f, 4, -10, -7, -3 in descending order.\nAnswer: 4, -3, f, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 218, -12, 2 in decreasing order.\nAnswer: 218, 2, -12, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Calculate the common denominator of (1 - 166\/20)\/a and (-1)\/8*(2 + 164).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 629, 1429, 2565, 4043, 5869?\nAnswer: 8049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -7)*-11*1. What is the third derivative of 2*f**2 + 11*f**5 - 25*f**5 + c*f**2 wrt f?\nAnswer: -840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583009 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537834.\nAnswer: 2, 13, 97609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (0 + 2)) + (-12 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 8 - 3)*(0*u - 2*u + 1 + 0*u).\nAnswer: -28*u + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12*(-1958826)\/44115. Let f = 2\/2941 - n. What is the common denominator of f and 95\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwiidio. What is prob of sequence wqwq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*q + 2*n, n = -5*q + 14. Let w(c) = c - 5. Let m be w(6). What is the nearest to m in 0.3, -0.5, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f**(-4\/7)\/f)\/f)*f)**(-18)*f**9\/f**14 assuming f is positive.\nAnswer: f**(-485\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/181, -11\/7, -2, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ots when three letters picked without replacement from ehhsotue.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 10. Let o be 2 - (1 - (1 - 2)). Suppose -g - 3*v + 3 = o, -5*g + 2*v - 15 = 7*v. Let d be q(g). Solve -6*l = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0 + 0*l**2 - l - 1\/3*l**3. Let c(g) = -g**2 - g + g + 2*g**2. Determine h(c(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, f: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.133 and 4267.\nAnswer: 4266.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one halves of a milligram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (-116 - -242 - -24)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5547 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34 - -11.44. Let g = -11 + c. What is the third smallest value in g, -1, -0.2, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*r)*(4 + 4 + 13)*(2*r**2 + 2*r**2 - r**2) as q*r**3 + k + l*r + g*r**2 and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 7:07 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -101032 times 0.5\nAnswer: -50516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24101.1794 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.80776 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179378.\nAnswer: 2, 3, 65521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64.04 from 0.22.\nAnswer: -63.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084709.\nAnswer: 607, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4508\/1560 + (-28)\/35 and -113\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/355 and -23\/210.\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1210)\/120*-6*136\/(-68).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.2 (b) -2 (c) 4 (d) -6 (e) -1.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boei when four letters picked without replacement from {e: 1, b: 1, i: 2, o: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 477, 478, 483, 492?\n\"Answer: 2*v**2 - 5*v + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1, 2, 0.5, 12\/13, -4\/3 in descending order.\nAnswer: 2, 12\/13, 0.5, -1\/3, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 546 + -487. Which is the closest to 5? (a) w (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 510 = -197. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.7 + -126.3. Let m = -161.99598 - h. What is m rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from {k: 4, f: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8800701895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1 - -3) + -15 + (55 - 38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.2874 - 0.0954. Let g = -0.192 + c. Put g, -3\/2, 1, -3\/8 in increasing order.\nAnswer: -3\/2, -3\/8, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**11*d)\/((d*d**(12\/11))\/d))\/(d**(-9\/4)*d*d\/(d*d**(7\/2)*d)*d) assuming d is positive.\nAnswer: d**(689\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = 874 - 214. Let b = -48 - u. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 3. Let q be d(4). Let s = 12.8 - -0.2. Let g = 18 - s. Which is the third smallest value? (a) g (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3*l + 2*g**2*l - 19*g*l - 3*g - 449*l wrt g?\nAnswer: -3*g**2*l + 4*g*l - 19*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/4)*j*j**(-9))\/(((j**6*j)\/j)\/(j\/(j*j**0\/j*j)*j*j)) assuming j is positive.\nAnswer: j**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 6*x**2 - 5*x + 5. Let b be r(-5). Let l = -456 + 464.7. Let m = 9 - l. Sort m, b, 0.2 in decreasing order.\nAnswer: b, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1903*t + 1903*t - 712*t**3.\nAnswer: -712*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -6*c + 2*c. Let b be (-359)\/(-7) + (-54)\/42. Calculate the highest common factor of b and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368565, -737129, -1105701, -1474287, -1842893, -2211525?\nAnswer: -2580189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -401\/858 - -20\/39. Find the common denominator of -4 - 2424\/(-320) - 12\/2 and z.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*a - 36*a - 2*g + 5, 5*a - 45 = 4*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 1. Let m be r(1). Solve m*x - 10 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -6, -4, 0, 6, 14?\n\"Answer: b**2 - 3*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, -1, -10, -23, -40, -61?\n\"Answer: -2*a**2 + a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62546 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -3, 1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d + 90. Let q be -2*-6*(-2)\/(-8). Suppose -u = -0*u - 2*t - 28, 3*u = q*t + 93. What is the remainder when u is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 119.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - -8. Suppose -q = -6*t + 2*t. Suppose -13*w + 21*w = 88. Calculate the smallest common multiple of w and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8403?\nAnswer: 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/15 + r**5\/60 + 5*r**2. What is the third derivative of o(q) wrt q?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-1)\/((-6)\/(-3))). Suppose -20 = -m*n + 20. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 87*v**3 + v**2\/2 + 10*v + 207. Let y be j(-5). What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 4*c - 1. Let j(y) = -6904*y**2 + 3550*y**2 - 3 + 3361*y**2 - 9*y. Let l = -6 - -8. What is l*j(w) - 5*v(w)?\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84920 and 0.5.\nAnswer: -42460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 42 - 40) + 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 3, 7 in increasing order.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5.13, 7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 44.5. Let h = -2.98 - -3. Which is the second biggest value? (a) d (b) 1\/6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**5 - 42*d**4 - 36*d**3 + 42*d**2 + 39*d = 0?\nAnswer: -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -506 - -572. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -157, -217, -265, -295, -301, -277, -217?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k - 12. Suppose -4*o + 40 = -2*o. Suppose 5*i = -o - 15. What are the prime factors of q(i)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.92 + -7. Let y = -775 - -776. What is the second smallest value in p, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.28317 and -0.5.\nAnswer: -0.641585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308.4173 centuries to months.\nAnswer: 370100.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x - 8. Put 3, 15, x in decreasing order.\nAnswer: 15, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70\/129 - 41849\/76884. Let t = i - 1175\/10132. What is the closest to 4 in 2, t, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -10, -5, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h + 2530*h + 930*h + 999*h.\nAnswer: 4478*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + z)*(0 + 2 - 3) - 2*z - z - 3*z - 2 + 2 - z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13531203 + 13532647 = 19*y for y.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8424600 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31214 and 2?\nAnswer: 31214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-5))\/((-8)\/50))\/((-12)\/(-2928)*122).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/15 + 88292*f\/15 + 3902486\/5 = 0. What is f?\nAnswer: -44013, -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(891) + (sqrt(891) - (sqrt(891) - sqrt(891)*3))**2.\nAnswer: 9*sqrt(11) + 8021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 9*k + 3. Let n be r(5). Is 24 a factor of 3 + -1 + n - -51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, 8, -22, 30 in ascending order.\nAnswer: -22, 2\/9, 3, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*z**3 + 1)*(4 + 1 + 9 - 1 + 2 + 1 + (2 - 4 + 1)*(0 + 1 + 1) + (-1 + 2 - 3)*(427 + 278 - 548)).\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 5*o = -11*w - 12, -4 = -4*w + 3*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102553400 (base 7) in base 14?\nAnswer: b4a100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 209086982 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bba6 - -98?\nAnswer: bc60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176379 = 876*x - 92283 for x.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by ((-5)\/15)\/((-2)\/60).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suuuuuuusuusuuuu. Give prob of picking 1 u and 1 s.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**6\/48 - 3*n**4\/32 - n**3\/12 - 6403. Determine a so that g(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 5*h + 5. Let b(l) = -2*l**2 - 9*l + 9. Let q be 0\/(-1*2 + 3). Suppose -3*t - 48 = -q*t. Let f = t + 11. What is f*s(v) + 3*b(v)?\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196167 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (2 - 11) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -4 in ascending order.\nAnswer: -10, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, g: 16, o: 1}. What is prob of picking 1 g, 1 o, and 1 k?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 10 (b) -5437 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316483945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21852594 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635028 is divided by 37354.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = -4*j. Let o(y) = -253*y**2 - 4*y + 2. Let m(l) = l**2 - l + 1. Let x(t) = 4*m(t) - o(t). Is x(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 6) + 70\/(-30)*-3. Calculate the highest common factor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 205.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0 + 5\/2*p**2 - p + 1\/12*p**4 + 2\/3*p**3. What is the units digit of w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3306, -3290, -3274, -3258?\nAnswer: -3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3881247570?\nAnswer: 2, 3, 5, 863, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010 (base 3) to base 11.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2 - 48*q\/5 + 38\/5 = 0.\nAnswer: 1, 19\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w + j, 4*j + 20 + 0 = 0. Suppose w*r - 6*r = -20. Solve r*y = 2*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 448 in -79, 19, 2\/27?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3465\/(-28))\/(-9)*((-1656)\/(-506))\/(-6).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - y**2 - 3*y + 8. Let a be c(0). Suppose 0*k - 80 = a*k. Calculate the remainder when 2\/10 + (-418)\/k is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5321399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o - 1 + 4092*o**3 + 0*o - 2*o - 4090*o**3 to j*o**3 + y + q*o + h*o**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494757519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) -1322 (d) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.932 to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -43*u**2 - 19*u - 38. Let b(p) = -103*p**2 - 47*p - 95. Let a(t) = 5*b(t) - 12*i(t). Calculate a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (930\/(-6070))\/(6\/(-4)). Let r = 289242\/3035 - d. Let z = r - 95. Is 1 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87.06 - -87. Which is smaller: g or -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 32*s + 61. Let v be p(-30). Let w be 1\/((0 - 2)\/(-4)). Put v, w, 6 in descending order.\nAnswer: 6, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332250 + -3?\nAnswer: -332253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by (-2)\/6*((-26)\/(-13) + -311).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*l - 6, -4*u = -3*l + 5 + 10. Let j = -6 + 5.6. Let v = 13814 + -13818. Which is the closest to 3? (a) l (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*r - 135*r - 5*u = 25, 0 = 3*r - 5*u - 25. Find a such that -3\/5*a**2 + 1\/5*a**4 + r + 0*a**3 + 2\/5*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180)*-5)\/(sqrt(5) - sqrt(80)*-1))\/(sqrt(12) + (1*sqrt(96))\/sqrt(8) - -6*sqrt(72)\/sqrt(6)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + -11?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-230)\/25)\/(258\/(-645))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5. Let d(l) = -l**2 - 4. Let h(b) = 5*d(b) + 4*n(b). Let w(c) be the first derivative of 5*c**3\/3 - 4. Give h(w(g)).\nAnswer: -125*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.004 - -20.004. Let v be 3 + (-4)\/2 - 1. Let k = 3.1 + -3. What is the closest to k in 5, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 7*z**6\/360 - 11*z**5\/240 + z**4\/24 + 14*z**3\/3 - 1. Let a(y) be the third derivative of k(y). Solve a(o) = 0.\nAnswer: 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2762, 2758, 2752, 2744, 2734, 2722?\n\"Answer: -f**2 - f + 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 223?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2694497132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 958688.9500873 + -958703.25. Let v = l + 14.3. What is v rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 78 = -5*u, -5*l + u + 535 = 5*u. Let f = l - 146. Calculate the common denominator of f and (18\/20)\/((-6)\/(-75)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5747 - -5817. Solve z + 80 = -25*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761731276?\nAnswer: 2, 190432819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y - 68. Let c(b) = b + 2. Suppose 0 = 6*m - 2*m - 16. Let a(d) = m*d + 8 + 3 + 2*d. Determine y*c(z) - 6*a(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*u)*(2*u - 5*u + 2*u) - 3*u**2 + 4*u**2 + 0*u**2 + 2252 - 2*u + 259*u**2 - 2252.\nAnswer: 262*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-104)\/(-8) + -6 - -3. Solve f = 6*r - 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*s - 4 = 0, 34*j + 2 = 39*j + s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/7 (b) 1 (c) -4 (d) 0.114\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(((-7)\/(-2))\/(-7)). Let j(c) = -3 + 2 + 3*c**p - 1 + 1. Calculate j(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/24*-6*20\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 733512491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {f: 1, r: 1, s: 1, g: 9}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/28)\/(-3)*(-2)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41874083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1458 + -1786. Is u equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 17 - z - 5*z**2 + 14)*(-9 + 9 - 2*z**3 + (-11*z**2 + 8*z - 8*z)*(1 - 2*z - 1)).\nAnswer: -100*z**5 - 20*z**4 + 40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + 2 + (1057 - 1038 - (-6 + 2 - -18)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -814320 divided by -1566?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 189263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-56))\/(6\/7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p - 4 - 11*p - 78 to the form a + j*p and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/45*(-3)\/1. What is the second smallest value in a, -0.5, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(720) + 2)**2 + sqrt(720) - -6*(sqrt(5) - (sqrt(80) + 1)**2)*-1.\nAnswer: 198*sqrt(5) + 2660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 16 - 14) + 7 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfq when three letters picked without replacement from nqnqnqqnfqqnnq.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*x + 1142*x = -887*x + 263541 - 39061 for x.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a day?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/4 + (-14)\/8. Is (149\/(-5))\/((55\/(-1075))\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1723 - -8940. Let m = i + -191845\/18. Let k = -1991 - -31835\/16. What is the common denominator of k and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, j: 1, n: 1, m: 9, k: 4}. Give prob of sequence kjm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 12 = r. Suppose 4*v - 30 = 2*t, -2*v + 7*v - 4*t = 33. What is the smallest common multiple of r and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/15 (b) -573 (c) -2\/19 (d) 1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-5))\/(4\/(-10)). Let i = 11.3 - 11. Let q be 16\/(-18) + 4\/6. Sort q, v, i.\nAnswer: v, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.405045 to 2 dps.\nAnswer: 8.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 8.\nAnswer: -4, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 252 - 783 - 17*n - 504 + 110 + 6*n as f*n + u and give u.\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*l - 124, -d + l - 4*l = -47. Suppose 10*g - d = 6*g. Solve -2*i - 3*k = g, 3*k + 0 = 3*i + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 4814, -6.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 + 6*t - 10. Determine r(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -4. Let a = g - 67. Let s = -179\/4 - a. What is the second smallest value in -1.2, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, -622, -2569, -6406, -12775, -22318, -35677, -53494?\nAnswer: -76411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 - 2*b**3 - 29 + 70*b**3 + 25*b**3. Let l(m) = 62*m**3 + 5*m**2 - 19. Let i(r) = 8*l(r) - 5*s(r). Find the first derivative of i(g) wrt g.\nAnswer: 93*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32302 (base 5) in base 3?\nAnswer: 10000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o**3 + o**2 - o. Let d(x) = -70*x**3 - 6*x**2 - x - 13. What is d(p) + 6*z(p)?\nAnswer: 2*p**3 - 7*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (sqrt(1053)*-2)**2 + 0 + 4.\nAnswer: 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3755.4 * -19\nAnswer: -71352.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16f + -1b?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (10 - 198\/15)*-25 - 0 and 44.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883 minus -0.01?\nAnswer: 883.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -540 - -540. Which is smaller: -31\/23 or q?\nAnswer: -31\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from {g: 5, f: 2, a: 1, e: 7, b: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 301*l - 5763. Determine h(22).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 5044.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(-1)*-9*20\/45\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -1098?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -110101002 (base 3) to base 6\nAnswer: -105432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (72\/(-252))\/(-3 + 123\/42). Let x(j) be the second derivative of 1\/20*j**5 - 11*j - 1\/4*j**u - 2*j**2 + 0 - 1\/6*j**3. What is x(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2*(-1)\/(-10))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 5*o - 3*o + (0 - 3 + 2)*(-42 + 29*o + 42).\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(1\/10)\/(t**(-4)*t**2) assuming t is positive.\nAnswer: t**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.56 + -0.5. Let x = a - -0.04. Which is bigger: -2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/15 and -94\/1425.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51 - -6a?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 35, 1846 = 2*j + 4*n + 542. Calculate the remainder when j is divided by 98.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*z - 82*z = 30 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7652 - -17126. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 313768 and 4186?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.341454201 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4305.695 to the nearest 10.\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -105*l + 373. Let a(r) = 52*r - 188. Suppose -123 - 30 = -51*v. Let d(n) = v*p(n) + 5*a(n). What is the derivative of d(z) wrt z?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 60*t + 901. Let d be f(-29). Solve -3*g + 15 = -5*r + d, 3*g = -2*r - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (34 - (21 - -47) - -27)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*k - 444 - 1863 - 3065 = 192 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 4:40 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 8*z + 122 = 3*z, -4*p - 5*z + 49 - 93 = 82 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719b41 (base 12) in base 11?\nAnswer: 1006170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/815868 and 7\/48.\nAnswer: 3263472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p**2 + p)*(-3 + 3 + 3*p + (3 - 3 - 2*p)*(0 + 1 - 3)) + 90 - 604*p**3 - 90.\nAnswer: -611*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 2, p: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -393*w. Let z(a) = 3800409*a. Calculate z(t(f)).\nAnswer: -1493560737*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -68.5. What is the third smallest value in -4, -2\/5, -2, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14, -0.0714899, -0.5?\nAnswer: -0.0714899","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 3868643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001956 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-34) + 192560\/986 + -120.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366697171 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -50*o**2 - 5*o + 5. Let d be p(1). Let f be (d\/40 - (-2)\/8)*1. Does 2 divide (1*f)\/(17\/(-459)) + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8360 - 8377 - 8364 - 8*l + 33472 - 8371.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*o + 62, -2*s - o + 96 = -5*o. Calculate the remainder when s is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-112) + (-858)\/77?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-1 + 1 - (-10 - (10 + -24)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-21)*(-56)\/(-176)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = 2*b. Let y be (b\/2)\/(1\/1062). What is the common denominator of -23\/3 and (-1)\/(-4) + y\/132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 48*s**2 - 101*s - 31. What is c(50)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/990 and -95\/24?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 2:47 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k - 1 - 11\/4*k**2 + 3\/4*k**3 = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 + 26*z - 19 + 19 - 11*z = 0. What is z?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) -1\/6 (c) -4.07 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -271711, -542525, -813339, -1084153?\n\"Answer: -270814*i - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421010 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 7*m + 19. Let s(u) = -2*u**2 + 15*u - 38*u + 6 + 5 + 18*u. Let d be s(2). List the prime factors of f(d).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 443 + t**2 + 25*t - 144 - 149.\nAnswer: t**2 + 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppp. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) + 2\/9. Suppose w*u - u + 12 = 0. Suppose -36 = -2*q - q + m, 2*m + 12 = q. What is the smallest common multiple of q and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.5 - 17. Let h(m) = m**3 - 3*m**2 + 2*m - 3. Let c be h(3). Suppose c*y = y + 6. What is the fourth biggest value in j, 0, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -16284.\nAnswer: -1\/4071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1574*c + 1387*c = 3143*c - 364. Factor -1\/8*b**5 + 3\/8*b**4 - 1\/4*b**c - 1\/8 + 3\/8*b - 1\/4*b**3.\nAnswer: -(b - 1)**4*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 6:53 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-23)\/(-920)*-17\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18592703 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -33*l**2. Let y(z) = 8*z**2 + 7*z**2 - 16*z**2. Determine y(f(o)).\nAnswer: -1089*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/93*3\/20?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 571*x**2 + 13*x + 7. Let v(b) = -b**2. Let d(l) = 3*v(l) - w(l). Let j(c) = 191*c**2 + 4*c + 2. Let n(s) = 2*d(s) + 7*j(s). Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:46 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, 7327, 11, -5 in ascending order.\nAnswer: -20, -5, -2, 11, 7327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 1005.\nAnswer: -12\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 - (15 + -10) - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -545805640 to the nearest 100000.\nAnswer: -545800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -241*q - 37377. Give n(-155).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q**3 + 3*q**2 - 10*q**3 - 3 + 12*q**3. Let x be (-10)\/(70\/(-49)) - 4. Let w(c) = 10*c**3 - 5*c**2 + 5. Calculate x*w(g) + 5*r(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 6*u - 7744 + 7402 = 0. Sort 26, 2, 1, u.\nAnswer: u, 1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*y - 192 - 933 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h**3 + 53*h**2 + 1645 wrt h.\nAnswer: -15*h**2 + 106*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/60*-18)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 + 3*y**2 + 4*y - 899. Let a(c) = -c**3 - c + 33. What is 4*a(j) + p(j)?\nAnswer: j**3 + 3*j**2 - 767","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 5)\/(0 + 1). Let c(t) = -t**3 - 4*t**2 + 4*t. Let z be c(g). Suppose -230 = -z*y - 25. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177367788*f**4*s**2 + 2*f*s - 5349013*s**2 wrt f?\nAnswer: 2128413456*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43711079 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-3) + (-1)\/(-3). Let n = r + 12. Let d be 1\/(-2) - n\/(-2). Calculate the greatest common factor of 56 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1659\/(-78) - ((-909)\/505)\/(39\/(-5)).\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxexejjejjezgzz. Give prob of picking 1 g, 2 j, and 1 z.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(1053)*4 + sqrt(1053) + -5 + sqrt(1053) + 2)**2.\nAnswer: -105309 - 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 31 = -11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**2 + o. Suppose 0 = -3*w - 3*s - 15, -s - 16 = 3*s. Let a be w*2 + 4\/4. Determine l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -26*f + 27*f. Let x(n) = 5 - 8 - 10 + 8*n. Calculate the remainder when x(3) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24109.11ml?\nAnswer: 24.10911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-4 - 0))\/((-15)\/(-18)). Let o be 9\/x*-3*6\/(-27). Is 11 a factor of 110 + (-1 - (o + (-1 - 0)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*j**2 + 4*j**2 + 9*j + 9*j**2 - 2*j**2 wrt j?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2384662, -4769321, -7153976, -9538627, -11923274, -14307917, -16692556?\nAnswer: -19077191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8001*f**3*l + 3*f**2 + 3*f*l + 10*l - 2 wrt f?\nAnswer: 48006*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.357625 weeks?\nAnswer: 3604.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 269 and 0.2.\nAnswer: 53.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 943043475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 - -92. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15268590 and 80361.\nAnswer: 15268590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7404, -24695, -53512, -93855, -145724?\n\"Answer: -5763*u**2 - 2*u - 1639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2070*k**3 - 2058*k**3 + 4123*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 5. Let j(f) = -6*f - 10. Suppose m - 45 = -4*m. Let w(y) = m*l(y) - 4*j(y). Let d = 2 + -6. Give w(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 454907, 909812, 1364717, 1819622?\nAnswer: 2274527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 360 and 30993\/86 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236219, -472451, -708683, -944915, -1181147, -1417379?\nAnswer: -1653611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29, 268, 951, 2300, 4537, 7884, 12563?\n\"Answer: 37*a**3 - 20*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-91)\/(-56)*(-1 - -25). What is the greatest common divisor of 39 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b (base 12) to base 10.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19325*g + 708843 = -1339607 for g.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.93 + -0.07. Sort a, 1, 4 in descending order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -639443 divided by -11\nAnswer: 639443\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1265 + 1454. Calculate the remainder when l is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 653829*o - 4576950.\nAnswer: 3*(o - 217950)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1470 (b) 3\/8 (c) -1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q + 173. Let a be c(19). Solve a*f + 5 - 2 = -y, 5*f = -2*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 - 2*y + 1. Let j be o(1). Let d(l) be the first derivative of 15*l**2\/2 + 4*l - 2. Is d(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575290 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/5 + 19278*f - 192772\/5 = 0.\nAnswer: 2, 48193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 7. Let b = -9 - s. Suppose -4*n = -4*a - 36, a = -4*n - 3*a - b. Which is bigger: n or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d*d\/((d**(-2\/13)*d)\/d*d))*(d\/(d\/(d*d**(5\/7))*d))\/d*(d\/(d*d*d\/d**(-6)*d*d))\/(((d**(1\/10)\/d)\/d*d)\/d) assuming d is positive.\nAnswer: d**(-8681\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z - 4 + 4 - 239*z.\nAnswer: -222*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15\/z**(-4\/23)*(((z*z\/((z*z**(-1\/13))\/z)*z)\/z)\/z)**(-11))**17 assuming z is positive.\nAnswer: z**(16915\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, -0.184, 5\/77 in descending order.\nAnswer: 5\/77, -0.184, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*y**2 + 13*y**2 + 1 - 19*y**2 to the form f*y + o*y**2 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45, 19, 103, 189, 259, 295, 279, 193?\n\"Answer: -3*u**3 + 28*u**2 + u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*x - 846*x - 5691 = -410*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o**2. Let y(i) = 4*i**2 - 3*i + 3. Let k(a) = -5*a**2 + 4*a - 4. Let b(w) = 3*k(w) + 4*y(w). What is b(m(p))?\nAnswer: 144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99712215?\nAnswer: 3, 5, 246203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**6\/75 + 23*c**5\/100 + c**4\/3 - 46*c**3\/15 - 24*c**2\/5 - 4225*c. What is u in f(u) = 0?\nAnswer: -2, -1\/2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267230129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/6 - 48271*g**2\/6 + 916427*g\/3 = 0.\nAnswer: 0, 38, 48233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -28*p**3 + 546*p + 11. Let a(r) = -10*r**3 + 182*r + 4. What is -11*a(c) + 4*b(c)?\nAnswer: -2*c**3 + 182*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and (1 + (3 - 3 - 4))*-1.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, y: 5, x: 1, f: 2}. What is prob of sequence yfxy?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113440 (base 5) in base 10?\nAnswer: 19870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -28, -4, -107 in increasing order.\nAnswer: -107, -28, -4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -23*q - 2. Let k be w(-1). Suppose 9 = 4*x + n + k, 0 = 5*x + 4*n + 4. Find the common denominator of 61\/32 and ((-9)\/(-12))\/(x\/(564\/9)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 39*f**2 - 126*f - 4. Let c be a(-4). Solve 0 = -5*w + 8*t - 6*t - 4, 0 = -2*w + c*t - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 41418729.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(14 - (-15)\/(-1)). What is the nearest to p in -1\/3, -8.9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 7*o + 7. Let p be k(10). Let r = p - -221. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 + 2)\/(48 + -49).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -43 - 3. What is the remainder when n is divided by 9 - -1 - (1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4*z - 2*z - 6 + 3.\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-152))\/(7\/(-14)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b + 25*b = 30*b. Let n be (-2 - b)\/(126\/(-72)*8). Suppose -1\/7*c**4 - n*c**3 + 1\/7*c + 1\/7*c**2 + 0 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -50. Let s be 8 + 1 + (1 - 1). Calculate the greatest common divisor of k and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (-2 - 1) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33\/10 + 19\/5. Suppose 2*o = 5*z + 15, 2*z + 3*o = 1 - 7. Let f = 0.7 - 0.5. Which is the closest to f? (a) d (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {t: 1, f: 1, x: 3, e: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.061 + 0.0204. Let q = 2.4706 + v. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 2) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1773 - 1302 = -5*q. Let s = -430 + q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/3, 1.3, -28, 0.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -223378179*o*u*v + 29*u*v + 5310127 wrt o?\nAnswer: -223378179*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + b + 320, 270 = 4*d + 2*b. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10120 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 112 = 10*b. Suppose b + 9 = 8*l. Let t be 3*-6*(-2)\/9. Solve t*q = -l + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n + 27*n + 0*n)*(1 - 3*n - 1)*(-7 + 12 + 1).\nAnswer: -684*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.9173 - -0.0827. Which is the closest to 4? (a) -9 (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1049 (b) 0.3 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4\/3 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 90 + 273 - 93 - 90.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a factor of 8483032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*x**2 + 13*x**2 - 3*x + 7*x.\nAnswer: -2*x*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + 1201 + -1049 + 1 + -19.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 63, 101, 143, 189, 239, 293?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 153, 154, 155, 156, 157?\n\"Answer: c + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -36, -45, -40, -15, 36, 119, 240?\n\"Answer: c**3 - 2*c**2 - 18*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71526183?\nAnswer: 3, 107, 222823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -95, 0.3, -26793?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319373 and 6743.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 + 513*i - 4677. Calculate p(92).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37360 is divided by 7443?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) -17 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1320*q + 12262 - 12262. Let a be f(3). What is a rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -56*y**2 + 6*y + 3. What is j(-1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {j: 1, e: 2, w: 1, x: 1, s: 4}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 5*j**4 - 6*j**3 + 8*j**3 + 52 - 26 - j**4 to the form m + o*j + d*j**3 + n*j**4 + f*j**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/24683733 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 411 and 1479189?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5 + 4*k**4 + 124*k**3 + 360*k**2 + 54*k - 540.\nAnswer: -2*(k - 10)*(k - 1)*(k + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caca when four letters picked without replacement from {a: 16, c: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 440.5 - 540.65. Let f = -100 - w. What is the biggest value in -3, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023765275 to 6 decimal places.\nAnswer: 0.002377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*w**5 + 4*w**5 - 2*w - 13*w wrt w?\nAnswer: 1940*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 742, -2\/5, 10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1686\/(-1405))\/(1\/5*-2)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 15) to base 6\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 372719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 - a. Let j(t) = 22*t**3 - 6*t**2 - 6*t. What is 6*h(i) - j(i)?\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-10 + 94\/10)*-15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*p - 4*p + 83 = 0, -3*p = -5*z + 88. Let b(c) = 20*c - 4*c - 23 + 25 + 178*c**2 - z. Is b(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 61*o**3 + 13*o**2 - 166*o + 11. Let w(g) = 128*g**3 + 24*g**2 - 334*g + 22. Let z(i) = 9*j(i) - 4*w(i). Find the second derivative of z(f) wrt f.\nAnswer: 222*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*d - 16 = 0, 0*m + m - 16 = 4*d. Let s be 32\/(-10) + 3 + m. Let v = -3 + 1. What is the third biggest value in -3, v, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.068 - -0.068. Let o = -12 - w. Let g = 0.9999873 + o. Round g to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Let a = -1 + 5. Suppose a*j - 3*k = 2*k, 0 = 4*j - t*k - 4. Solve 12 = -j*f + 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27246504*c - 15696 = -27246360*c for c.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(1\/12)*(y**(2\/3)*y)**(8\/7))\/(((y*y**(2\/7))\/y*y*y*y**5)\/((y\/(y\/((y**9\/y)\/y*y)*y))\/(y**(-5)\/y))) assuming y is positive.\nAnswer: y**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/(-110) - (-1254)\/(-4180)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l**3 - 13*l**2 - 14*l + 0*l**3 - 11*l**3 - 16. Let t be n(-12). Solve 2*a - t = 0, 2*a - 1 = -2*b - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179931000 rounded to the nearest one million?\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/5? (a) -295 (b) -2 (c) 1 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:01 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1509 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-120)*-132*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 4*z + 3*z + 13056*z**2 + 2 + 2*z. Let n be q(-6). Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107969.17 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 9\/2*w**2 + 5\/2*w**4 - 1\/2*w - 1 + 13\/2*w**3 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.042 (b) 4 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 2*p**3 - p**3 - 539*p + p**2 + 9*p**4 + 16*p**4 + 528*p as x*p + r*p**2 + t + i*p**4 + q*p**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 0.8. Let q = f - -0.16. What is q rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 13*p**3 - 3*p**2 + 1. Give d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 25*t. Let h(d) be the first derivative of -61*d**3\/3 + d**2 + 1684. Calculate x(h(i)).\nAnswer: -1525*i**2 + 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:29 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 237*a**2 + 1649 - 3306 + 1654 in the form u*a + m + r*a**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 20488*r + 102465. What is p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 - 7*v**2 + 9*v**2 as i*v + t + m*v**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - 15.05. Let a = 10 + b. Let d = -5\/3 + 28\/15. What is the second biggest value in d, 0.5, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + (2 + -14 - 27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59871229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -71*z**5 - 10*z**4 + 300*z**2 - 5. Let t(o) = 70*o**5 + 8*o**4 - 301*o**2 + 4. Let w(v) = -4*s(v) - 5*t(v). Find the third derivative of w(j) wrt j.\nAnswer: -3960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q**4 - 3*q**3 - 15*q**2 + 3*q - 3. Let b(s) = s**4 + s**3 - s + 1. Let i(x) = 3*b(x) + w(x). Find the third derivative of i(d) wrt d.\nAnswer: -432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 56*m = -25*m - 24*m - 27, 2*m - 15 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Calculate (-1320)\/(-18)*(-2970)\/1980.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + s + 0 - 63.\nAnswer: s - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101110000010110011001 (base 2) to base 16.\nAnswer: 770599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3878454, 3878451, 3878448?\nAnswer: 3878445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r + 118. Determine u(26).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(28\/35).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Suppose 0 = -s*n - 0*g + g - 8, -2 = n - g. Let d = n - -8. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(11\/(-6))\/(-11).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.1038691 * -2\nAnswer: -6.2077382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 25, 64, 115?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, w: 1, v: 1, k: 1}. Give prob of sequence nkvw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p + 8*p + 182. Let i be (p + -17)\/(3\/(-4)). Suppose i*h - 3*h = -5*t + 373, t - 80 = -2*h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0*d**3 + 0 + 0*d + 3*d**2 + 7\/24*d**4. Let o(a) = a**2. Give o(l(p)).\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 25*q**2 + 9*q + 2. Let i be n(-12). Let v = -36 + i. Solve v*b = -2*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**4*n**3 + 128*b**3*n**3 + 370*n**3 wrt b?\nAnswer: 4*b**3*n**3 + 384*b**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/45 and 59\/55?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - t + 67. Let x be j(0). Let l = -47 + x. Let s be ((-60)\/(-8))\/(15\/l). What is the highest common factor of 60 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.270424t to milligrams.\nAnswer: 7270424000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3666660, 3666661, 3666662, 3666663, 3666664, 3666665?\nAnswer: 3666666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144304.\nAnswer: 2, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5684.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q - 104. Let f be b(16). Calculate the greatest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 879\/2 + 275\/(-110). Suppose 5*b - t = -172. Calculate the greatest common factor of 159 and b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 + 5274*r - 2317923 = 0 for r.\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -1 (c) 4\/7 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19742673521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86694 is divided by 86690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1139218 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53472348 a multiple of 1308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1238\nAnswer: -247.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/((-2)\/2) - -4. Suppose 4*f - 5*i - 28 = -i, -2*f = -4*i - o. Which is bigger: 10\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.84258759 to 2 dps.\nAnswer: 6.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = z + 7, -3*z - 5*d = -26 - 13. Calculate the smallest common multiple of 2 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9234 and 17496.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 175*v**5\/2 + 755*v**4 - 617*v**3\/2 - 138*v**2 + 54*v = 0. What is v?\nAnswer: -9, -3\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u)\/u*u**(-40) assuming u is positive.\nAnswer: u**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Suppose 0 = u - 2 - 0. Let i(z) = -4*z**2 + z - 3 + u*z**2 + 4*z**2 + b*z. What is i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9187575*q**3 - 5823643 with respect to q.\nAnswer: 27562725*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 18 = 2*s. Calculate the remainder when 151 is divided by 17\/s*(32\/(-4))\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d**2 - 14. Let o(a) = a. What is z(o(j))?\nAnswer: 17*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4675947 by -34131.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -42*w + 20. Let i(a) = 13*a - 7. Determine -14*i(x) - 5*l(x).\nAnswer: 28*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 6*s - 4. Let m be p(4). Suppose -4*y - f = f - 46, 0 = -m*f - 4. Let n(q) = -q**2 + 12*q + 15. What is the units digit of n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 10:13 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 5\/(-6))\/(7364 + -7365).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 596*s + 48919. Calculate j(-82).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + r**2 + 1. Let y(o) = -8*o**3 - o**2 - 2*o - 3. Let p(i) = -3*j(i) - y(i). Let a(f) = -12*f**3 + 3*f**2 - 3*f. Give -2*a(w) - 3*p(w).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-34528)\/2288)\/83)\/((2\/(-3))\/(22\/843))?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/11275717?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -94535 at least 1.99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32702, -65397, -98090, -130781, -163470, -196157, -228842?\nAnswer: -261525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 467, 577, 753, 989, 1279, 1617, 1997?\nAnswer: 2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 5*p + 3. Let t = -40 + 34. Let q be k(t). Suppose -b - 5048 = -q*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**28\/g))\/(((g\/(g**(9\/7)\/g)*g*g)\/g*g*g)\/g*g) assuming g is positive.\nAnswer: g**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s**2 - 6*s + 6. Let x(i) = -209*i**2 + 95*i - 95. Give -95*v(n) - 6*x(n).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1130487 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -232, -0.2 in ascending order.\nAnswer: -232, -50, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j + 2*j + 3*j)*(5*j + 0*j - 2*j) - 21*j**2 + 561*j**2 - 181*j**2 + (-4*j + 2*j + 3*j)*(-2 - j + 2) to m + p*j + v*j**2 and give v.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726902.\nAnswer: 2, 11, 19, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*m = -321*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10179.1 - 10180. What is the nearest to f in 0, 3\/2, 64\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-13 - -11)) + (-3 - -46) - 13.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -102\/53 (b) 2 (c) -4279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-135772770904)\/(-29722) - 2\/7. Let f = -4568090 + p. Let u = f - -3\/193. What is the common denominator of -59\/9 and u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 529*h**3 + 7*h**2 + 83*h - 90. Calculate r(1).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1327, 1349, 1371, 1393, 1415?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 494, 5, 1, -1\/3 in decreasing order.\nAnswer: 494, 5, 1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13537655 divided by -4\nAnswer: 13537655\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*t - 845*t = 27414 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 488792225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10459556 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -523*c**4*f - 9*c**4 - 40*c**3*f + 61615*c**2 - c*f + 2*c - 10*f wrt c.\nAnswer: -12552*c*f - 216*c - 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2 - 22718966*n - 47176192 with respect to n.\nAnswer: 4*n - 22718966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100001011111?\nAnswer: -100001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16351 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f - 1143 = -490*f + 7344 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77)*-1 - sqrt(77))*5*1)\/((sqrt(11) - sqrt(891))*-6 - -5*sqrt(891)).\nAnswer: -10*sqrt(7)\/93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*p**3 - 129*d*p + 908*d + 15719*p**3 + 757 wrt d.\nAnswer: -2*p**3 - 129*p + 908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 65\/6, 5.4, 1\/3?\nAnswer: 65\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -23 - r - 37 + 49. Determine q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + 7 + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 608693 + 6?\nAnswer: 608699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q + 2. Let a(j) be the second derivative of j**5\/4 - j**4\/6 - j**3\/6 + j**2\/2 - 8*j. Let f be a(-1). Give h(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -34*b. Let m(q) = -2*q**2 + 114367*q + 1. Calculate m(s(z)).\nAnswer: -2312*z**2 - 3888478*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 424567 divided by 32659\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.004 - -25.996. Let h = 34.3 - d. Let p = -8 + h. What is p rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 73*z**2 - z + 1. Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7285*j + 1205. Is u(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -4 - 1\/3*h**3 + 15\/2*h**2 - 6*h. What is the tens digit of y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/37 and 29\/7.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2007*s - 4022*s + 2015*s + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*p - 6*i - 50, 5*p + 2*i = 23. Solve -12*l + 10 = -p*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 164*m\/5 + 166\/5.\nAnswer: -2*(m - 83)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5284 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, p: 2, o: 1, x: 2, f: 4, n: 2}. What is prob of sequence affa?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.7 + -20. Let x = l + 0.6. Which is the nearest to 7? (a) 5 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 13*w**2 - 4. Let c(z) = z**2 - 1. What is -6*c(f) + l(f)?\nAnswer: 2*f**3 - 19*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 398573 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.90847 to 1 dp.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.122 - 1.058. Let c = -1.28 - v. Suppose 4*w = -5*j - 15, -j + 0*j - 14 = 3*w. What is the second smallest value in w, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6019, 6020, 6021?\nAnswer: 6022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 10290 = 3*j. Let h = j + 1476. List the prime factors of h.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**3*u + 2*o**3 - 75*o**2*u**4 + 148*o wrt u?\nAnswer: o**3 - 300*o**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-220)\/(-66)*-3*(-56)\/35. Put 3, 0, f, -2, -4 in descending order.\nAnswer: f, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 7056 (c) 3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccx when three letters picked without replacement from xccxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (36 - 24)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*c*c\/(((c**(1\/2)*c)\/c)\/c)*c\/c**(-4)*(c**(-2\/7)*c)**(-2\/111)*((c\/c**(-1\/2))\/c)**(25\/6)*(c**(2\/7))**22 assuming c is positive.\nAnswer: c**(19535\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98057910 to the nearest integer?\nAnswer: 9902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/816 - (-6)\/(-9) - (-315)\/840?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138049 = 5*x + g, -43*x + 48*x - g = 138061. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*t - 2477 - 34594 = -4599 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 222793*f**2*q - 4893314*f**2 wrt q?\nAnswer: 222793*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3*x - 2*x + 5)*((2*x - 2*x - 2*x)*(5 - 2 - 5) + 0*x - 4*x + x + (-3 + 4 + 1)*(-4*x + 4*x + 2*x) + 4*x - 6*x - 6*x).\nAnswer: -3*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n - 12. Let m = -1 - n. Calculate the common denominator of -61\/3 and (-115)\/m*40\/(-250).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4236 divided by -4\nAnswer: -1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 46811099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -240611 - 752?\nAnswer: -241363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*p = -5*q + 318, 4*q - 5*p = 420. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1556583 and 1568?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*v - 4*v - 4*v - 26 - 4*v - 8*v to j + a*v and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -190728 - -0.0007\nAnswer: -190727.9993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3714698 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*f + f - 3*c, 5*c = -5*f - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.41 and 4?\nAnswer: 2.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**4\/4 + 3*h**3 + 13*h**2\/2 - h + 58. Let m be z(-7). Solve -3*k - 13 + m = -j, -4*j + 12 = 4*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1092, 2190, 3288, 4386, 5484?\nAnswer: 6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 9. Let y = -1.3 - -7.3. Let o = -5.6 + y. What is the third smallest value in n, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 16?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -219 - -110. Let q = -10 - g. Is 33 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 6*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350 (base 7) in base 2?\nAnswer: -1000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15927368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 517288 + -517293. Let w = 0 + 0. Let q = w + -0.1. What is the fourth biggest value in v, 2, 0.01, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26252, -26351, -26514, -26741?\n\"Answer: -32*l**2 - 3*l - 26217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 0.018, 0 in increasing order.\nAnswer: 0, 0.018, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4\/5)*m**(-2\/53))**(-21\/5))**(-1\/91))**(-40) assuming m is positive.\nAnswer: m**(5328\/3445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6739\/90 + 62\/45. Let o = 470379 + -15995381\/34. Let u = o - t. Which is the third biggest value? (a) u (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -1.10128, 4, -3\/7 in descending order.\nAnswer: 4, -3\/7, -1.10128, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -5, -83 in descending order.\nAnswer: 1, -2, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 62 = -62. Which is greater: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 14) + (108 - 101 - (5 - 0))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1356*y**3 - 38*y**2 + 70288*y wrt y?\nAnswer: 8136*y - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*a, 15 = -5*t - 2*a + 6. Let r be 1\/(t\/(-36)*3). Suppose -k - r*k = -60. Solve 8*i - k = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 4*h - 33, 0 = -5*n - 4*h - 6. Solve 6 = 4*r - n*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366695658 to the power of 1\/2, to the nearest integer?\nAnswer: 48649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 111111 (base 2) to base 11\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 11*n. Let m(q) be the second derivative of q**2 + 1\/6*q**4 + 0*q**3 + 2*q + n. What is the derivative of m(a) wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 28*r - 1\/2*r**3 + 2 + 1\/4*r**4 - 1\/2*r**2. Give c(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 9. Suppose r + 3 = a. What is the least common multiple of r and 6\/27 + (-25)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/510)\/(24\/50*580\/232).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.9 + -3.1. Let s = -1.7 + 1.8. Are s and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3042, -97, -5, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 44*r + 87*r - 179*r + 35 + 4*r**2 + 93 = 0.\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.8 times 5?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5820619943 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4564056 divided by 1176.\nAnswer: -3881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 22.709?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(-7)\/315*-2. Put -4, u, 1, 2 in increasing order.\nAnswer: -4, u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(171) + sqrt(171) + sqrt(171) + -5)**2.\nAnswer: -54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -810264 divided by 15582\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 264091577 and 6.445.\nAnswer: 264091583.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**2 + 61*i**2 - 11*i**2 - 13*i**2 - 15*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1935*k - 195219 + 606119 = 7805*k for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.82718 nanometers to centimeters.\nAnswer: 0.000000982718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2143, 4300, 6467, 8644?\n\"Answer: 5*m**2 + 2142*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-154)\/(-14)))\/((-42)\/7*(-1)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -84. Let c = -251 + 248. Sort c, z, -4, 0.2 in ascending order.\nAnswer: z, -4, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*h**3 - 47*h**3 - 17*h**3 - 325*h - 38*h**3 - 4*h**3 wrt h?\nAnswer: -792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + y - y + 31*y - 61*y + 10*y + 5 + (y + 0 + 0)*(-2 + 6 - 1) + 3 - 2*y - 3.\nAnswer: -18*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121120 (base 3) in base 10?\nAnswer: -1176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 143033778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - -3db?\nAnswer: 3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118187\/15 - 7879. Which is the nearest to -2? (a) y (b) -0.4 (c) 0.2 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 1231 = -1204 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 + (-99)\/(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 - 2 + 45*x**2 - 4 - x - 39*x**2. Let o(n) = n**3 - n**2 + 1. Let f(k) = -m(k) - 5*o(k). Let h(u) = -u**2 + u + 1. What is f(l) - h(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/(-35)*22\/110*50\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-70))\/(10\/(-35))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23010222 - 12?\nAnswer: -23010300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36106255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242 + 49.383.\nAnswer: -192.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7267 divided by -169\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8845.161 kilograms?\nAnswer: 8845161000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 4*o - 0*o + 2*m, -4*m - 74 = -3*o. Calculate the highest common factor of 130 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154 + -1?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.55 + 0.45. Let h = -127 + 129. Which is the nearest to 0? (a) h (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 10*p - 4. Does 10 divide q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 48 = -3*c, -o = 5*c - 4*o - 72. Suppose -2*n - 4*z + c = 0, 9 = n - 3*n + 3*z. Solve u + 4*u - 20 = n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.7 + -7.4. What is the third biggest value in d, 5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -2 + 75*z + 37\/2*z**3 + 0*z**4 - 1\/15*z**6 + 123\/2*z**2 + 0*z**5. Differentiate v(t) with respect to t.\nAnswer: -8*t**3 + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*l**2 + 282 - 282 - 1283*l + 1283*l.\nAnswer: -85*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160242 and 875047?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/9 - 2992*j**2\/9 + 444218*j\/9 - 147076\/3 = 0. Calculate j.\nAnswer: 1, 166, 1329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -111313123111?\nAnswer: -111313123121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00284468 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1895627?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let z(m) = 2*m. Let l = 39 + -35. Determine l*z(u) + 9*a(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13573 + 13505 + 35\/(-1)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(35) + (2*sqrt(70))\/sqrt(2))\/sqrt(5) - ((sqrt(1008) + -3 + 4)**2 + 0).\nAnswer: -1008 - 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*a - 3*w, 0 = a + 52*w - 47*w + 12. Let y(z) = -z - z**a - 71 + 4*z**2 + 32 + 42. Give y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 - 3*z - 6. Let q be f(-4). Suppose 0*a + 3*a - 6 = 3*w, 4*a - 8 = -2*w. Let u = 2 + a. Solve q - 2 = u*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**3 - 341*x - 15. Let i(n) = -2*n**3 - 170*n - 6. Determine -5*i(u) + 2*o(u).\nAnswer: 2*u**3 + 168*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)*g**(-7))\/((g\/((g*g**(-7\/4)*g*g*g*g)\/g)*g)\/(g\/(g*g*g**(3\/10)))) assuming g is positive.\nAnswer: g**(-1489\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 101275180 to the nearest 1000000.\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5059, -5164, -5269, -5374, -5479?\n\"Answer: -105*a - 4954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22397964?\nAnswer: 2, 3, 173, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*j + 19 = 0, 0 = -111*f + 108*f - 5*j - 22 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.2, -4\/7, 5, 5\/2, 25, -6\/23, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 302*b + 43. Is c(54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-485)\/105 - (-2)\/7 - -3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 27. Let d be 208\/u - (-9)\/15. Let m = d - 76\/7. Sort -2\/3, m, 0.2.\nAnswer: -2\/3, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 4*r + 5*s, 0 = 5*r - 7*r - s + 55. Calculate the remainder when 132 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/190 and 66\/1920425.\nAnswer: 3840850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:06 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/2, -16 in decreasing order.\nAnswer: 3\/2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 513, 516?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3013 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-55))\/(8\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 76528 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 + 1 = 0. Suppose -w*h - 4*x - 14 = 0, 0 = 4*h - 6*x + 4*x - 2. Let o be (-65)\/75 - h\/1. What is the biggest value in -1, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*i - 2*n + 82, -12 = 3*n. Let l(d) = d**2 + 25*d + 109. What are the prime factors of l(i)?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 58 + 2 + -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a factor of 17164980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 12\/7*t + 3\/7*t**3 + 9\/7*t**2.\nAnswer: 3*t*(t - 1)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 14*y + 70. Let v be k(16). Suppose -35*n - 15 = -v*n. Solve -11 = -4*l + n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4403235 (base 6) to base 9\nAnswer: -362615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 3)*(-5*s - 2*s + 5*s)*(-2*s**2 + 4*s**2 + 0*s**2)*(7*s - 7 + 7 + 12).\nAnswer: 140*s**4 + 240*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 19. Suppose k = 7*k - 54. What is the least common multiple of k and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*p - 89*p + 1508 = 203*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 48*a**2 + 295*a. Let u(y) = 7*y**2 + 42*y. What is 2*n(g) - 15*u(g)?\nAnswer: -2*g**3 - 9*g**2 - 40*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357793647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/72 - -97\/72. Let x = -411.9 + 414.9. Which is the closest to 0? (a) 0.04 (b) o (c) 5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-4) - (-13 + 3). Let i = 15 - 0. What is the highest common divisor of h and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -x + 78, -3*n = x - 23 - 27. Suppose 2*m - 2*l = 4*m - x, -2*l + 32 = m. Calculate the highest common factor of 12 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -286, -444, -618, -814, -1038, -1296?\nAnswer: -1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**5*i**3 - 2108482*d**3*i**3 - 12*d**2 - 38*d*i**3 - 9*d*i**2 + 7*i**3 wrt d.\nAnswer: 180*d**2*i**3 - 12650892*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 15 = -5*m. Let z(d) be the third derivative of 5*d**4\/24 + d**3\/6 + 24*d**2 - 3*d. Give z(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*q - 2 + 4)*(7*q**2 + q**2 - 3*q**2).\nAnswer: 15*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9502*z**2 + z - 11884?\nAnswer: -19004*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 0\/(32\/4 + -6). Solve -2*r = 4*z, 6 = 2*z - f*z - 4*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -149*d - 16624. Give r(-111).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Suppose -o - 4*s = -6, -b*o - s + 6 = -3. Suppose o = 2*y - 2. Solve -4 + y = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115932 and 1488?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7192 + -3924. Calculate the highest common factor of a and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**8\/80640 + y**7\/6720 - y**6\/720 - y**5\/4 - 25*y**2. Let q(i) be the third derivative of n(i). Factor q(m).\nAnswer: (m - 1)*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(-92) - 810\/(-3105)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2059\/4837 - 2\/691. What is the second biggest value in m, 0.4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12368 + -12355. Solve 80*q + z = -67 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 1346563?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + ((-2)\/(-3))\/((-18)\/(-189)). Suppose -u*z + 3*r = -96, -25*z + 21*z + 75 = -3*r. Solve -3*q = -4*d - z, -2*d = -0*q + 4*q - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qttqsqstqssq. Give prob of sequence ttst.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*(-2 + 2))\/(-2). Suppose -3 - 3 = -2*j. Suppose a = j*h + 2*h. Solve -o + 3 = h, 5*t - 2*o + 8 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 552768*q**2*v**3 + q*v**2 - 185666*v**3 wrt q?\nAnswer: 1105536*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -73226 (c) 5 (d) 0.5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6032171 is divided by 3095?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 22 = -5*s. Suppose -2*i = -v + s, 5*i + 5 = -v - 18. Suppose v*a - 7*a = -20. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(((sqrt(132) + (-2*sqrt(132) - sqrt(132)))*-5 - sqrt(132)) + sqrt(132)))\/(-4*sqrt(36)\/sqrt(192)).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -49, -28, 11, 74, 167, 296?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**4\/12 + w**3\/6 - 19*w. What is s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/7 + 323844*j + 183531138588 = 0 for j.\nAnswer: -1133454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 412901 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35710943 and 2847.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7665 and -431?\nAnswer: 3303615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s. Let j be ((-1)\/(-2))\/((-6)\/(-144)). Solve 4*y = -s*y + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*v + 385*v - 3615*v + 1565*v.\nAnswer: -2033*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129089, -129084, -129079, -129074?\nAnswer: -129069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33185237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1508*j - 2. Let w be g(4). What is w rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -6\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o - 5*o)*(-10 + 23 - 20).\nAnswer: 49*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436693044?\nAnswer: 2, 3, 2131, 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {n: 5, j: 14}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*sqrt(192)*-6 + 1 + sqrt(192) + 4.\nAnswer: 3 + 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/7 + 76528*t**3\/7 - 16155648*t**2\/7 + 821829888*t\/7 + 507244032 = 0.\nAnswer: -4, 108, 38052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 0.4 (b) -4 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-15) - (-70)\/25. Suppose 3*j = -f*k, 0 = 8*j - 3*j - 4*k - 27. Suppose z - 3*x - 17 = 0, 6*x = 2*x - 20. Solve j*w + 20 = -z*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2082500 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1592*n - 44609. Determine q(-28).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27532 - 4.27532. Which is the closest to 9\/2? (a) v (b) 3\/4 (c) -71 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 22*m**2 + 3*m - 2. Let l be a(1). Let s = l - 11. What is the remainder when 94*(-4 + 2)\/(-4) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/((-17)\/((-2142)\/28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -398, -46 in increasing order.\nAnswer: -398, -46, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-189 - 31*w + 189)*(-3 - 4 + 3) in the form n + v*w and give v.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057551187 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 320 - 5.2. Let b = q - 290. What is b rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/10)\/((-1736)\/(-23312)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 242316 divided by -106\nAnswer: -2286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3))**2*3 - sqrt(52)\/(sqrt(8)\/sqrt(2))) + -2*(-4 + (sqrt(637)*1)**2) + -1.\nAnswer: -1228 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6217700 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/1*(-102)\/(-68)*4\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 2)**2 - ((-1 + (sqrt(5) + 1 - sqrt(5)))**2 - sqrt(5)).\nAnswer: 25*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5298 and 2.\nAnswer: -10596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + (-99)\/(-22))\/(6\/20). Let b(z) = 41*z**3 + 6*z**2 + 23*z - 129. Is b(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 7*z**2 + 3 + 7*z - 52*z**3 + 0*z. Let f be v(-3). Suppose -4*l + 295 = -f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l**3 + 2*l**2 + 2*l + 1. Let m be o(-1). Does 22 divide (-8)\/m*1188\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d. Let m be 7 + -6 + (-8)\/4. Let i(z) = 159*z**4 + 6*z**3 + 104*z - 1. Let s(l) = m*i(l) + 6*b(l). Find the second derivative of s(a) wrt a.\nAnswer: -1908*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*p - 23, -10*u + 7*u = -9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 1200?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -13, -3, 8, -4, 0 in increasing order.\nAnswer: -13, -7, -4, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x. Let l(a) be the third derivative of a**4\/3 - 23*a**2. Determine -5*l(w) + 12*o(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b*b**5*b*b**(4\/7)*b*b**(-7)*b**0\/b*b**(-1)*b*(((b*b**1*b)\/b)\/b)**(-19) assuming b is positive.\nAnswer: b**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 16*g**2 - 19*g + 31. Let i be r(-15). Let h be i\/13 + (0 - -1). What is the highest common factor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 0, -3600 in descending order.\nAnswer: 0, -56, -3600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**31)**(27\/4)\/(i\/(i\/i**(-1\/15))*i)**(7\/6) assuming i is positive.\nAnswer: i**(37469\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 13 = 4*s, 0 = -4*s + 6*x - 2*x - 12. Let t be s\/12 - (-3958)\/12. Let y be (t\/4)\/((-33)\/(-176)). What is y rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.1, -10\/3, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/11432 and -95\/12?\nAnswer: 34296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 + 252 = -4*n. Let x(k) be the first derivative of 1\/6*k**3 - 1\/10*k**5 + n*k + 1\/2*k**2 + 12 - 1\/4*k**4. Determine z, given that x(z) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -4 (c) 0.5 (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 4*y - 363. Let w be (2 - 3) + (-11)\/(y\/108). Solve -j + 5*r = 4*j + w, -5*r = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 4 + 0)*(-1 + 2 - 2) + 0 - 3 + 1)*(4*d + 0*d + 2*d) + 84 - 85 + 4404*d + 1134*d to the form c*d + t and give c.\nAnswer: 5532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 977581737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 5. Let t = 232 + -236. Give x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-21)*(-504)\/(-336).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11430\/24003)\/(((-1)\/(-14))\/((-1)\/(-15))).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 72?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3016 and 2038816.\nAnswer: 2038816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 11*z**4 + 5*z)*(5*z - 2*z - z)*(-1 + 9 - 36).\nAnswer: -616*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*3*sqrt(42)\/(-2*sqrt(6)))**2.\nAnswer: 18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -207\/7 (b) -580 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4118, 32843, 110794, 262577, 512798?\n\"Answer: 4101*w**3 + 7*w**2 - 3*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 17*r**2 + 29*r + 31. Let k be l(15). Suppose 6 - k = -5*b. Suppose -c = -3*z - 7, c + 6 = 5*z + 15. Solve -c = -x - b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 11) + 2 - 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.02 - -0.02. Let k = 32.26 - 40. Let i = k - c. Round i to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 10*f**3 - 5*f**2 - 10*f.\nAnswer: 5*f*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17274, 4546, 40910, 91818?\nAnswer: 157270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + i - 27 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 + 0 = 0. Let c be (w\/(-1))\/8*0. Let b be c*(-4)\/(-32)*4. Which is bigger: b or -2\/53?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j - 6. Let x(f) = -11*f + 7. Let h(p) = 6*g(p) + 5*x(p). Let a be h(-1). Let r = 12 + a. Calculate the remainder when 16 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7 = 5*f, -f = -4*a - 8 + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - 10000101101010111?\nAnswer: -10000101101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/2 - 4890*f + 3985350.\nAnswer: 3*(f - 1630)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 140, 2, -11, -0.1, -690, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + y + 212 - 189 to m + j*y and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(14 + 19123\/(-1365))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0049 - 25.9951. Which is the smallest value? (a) -3 (b) n (c) -0.4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/120 + h**4\/4 - h**3\/3 + 2*h**2. Find the common denominator of -3 - (-9)\/8*-1 and x(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:48 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 + u + 6. What is n(-4)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 1200*f**3\/7 + 5160*f**2\/7 - 11373*f\/7 + 5202\/7 = 0.\nAnswer: -6, 17\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9*3\/(-15). Suppose -j = -1 - 2. Suppose -k - j = 2*k. Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.64, 2\/7, -17 in decreasing order.\nAnswer: 0.64, 2\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 3*f - 1044 = 32*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1 + 17 - 8*h. Let r(b) = b - 13. Let m(u) = 4*u - 38. Let v(k) = 4*m(k) - 11*r(k). Let f(l) = 6*s(l) + 11*v(l). Determine f(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1147 divided by 10.\nAnswer: -1147\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 39*j**2 + 3*j. Let q(i) = 10*i. What is h(q(f))?\nAnswer: 3900*f**2 + 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 2*j**4\/3 - 180*j + 1. Let a(r) = 8*r. Calculate a(k(d)).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.86 - -8.86. Let y = -1 + 1. Do f and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - p**3)*((p + p - 3*p)*(2*p - 5*p - 2*p) - p**2 - 3*p**2 + 0*p**2).\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -4, 391 in descending order.\nAnswer: 391, 9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 1, b: 1, a: 2, j: 1, f: 1}. Give prob of picking 1 r, 1 g, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 5*g - 90447 = -46*d, d - 22608 = 5*g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (2 + sqrt(12)\/sqrt(4)) - (-1*sqrt(3) + -3))*-6 + -1.\nAnswer: -6*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -140?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 < 1583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13391672243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 0*i)*(-1 + 6 + 0) + (2*i - 3 + 3)*(-2 + 0 + 0) + (-i + 3*i - i)*(1 - 3 + 4) + i - 2*i + 2*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (166\/(-561080)*-104)\/(-2*2\/(-884)).\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 297 (b) -0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423 by -3.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pduuppdpppp. What is prob of sequence duud?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 29*d + 258 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 9*w**2 - 6*w - 10. Let t be z(7). Suppose -2*h + 24 = -t. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -367\/6, -0.5, 0, 2, -0.1.\nAnswer: -367\/6, -0.5, -0.1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -280831789 - -44.\nAnswer: -280831745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3544 (base 6) to base 8\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25739 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4222852 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 5*p**2 - 34*p + 12. Let d be s(-4). Sort 0.5, 2\/13, 2\/11, d in ascending order.\nAnswer: 2\/13, 2\/11, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10993 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4934573 rounded to two dps?\nAnswer: -12.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 14*w**2 + 44*w + 54. Let v be a(14). Let c = -518 + v. Calculate the greatest common divisor of 76 and c.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 0*o**2 - 17*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/293426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 249 = -2*k, 0*f - 3*f = -k - 754. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41468461 a multiple of 2495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 4*u = -7028, 4*k + 5612 = -2*u. Let b be ((-1)\/(-3))\/((-18)\/k). Suppose 0 = -q + 5*c + b, 2*q = -0*c - c + 8. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 559047*k**5 + 248330*k**2.\nAnswer: 33542820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/5)\/(22\/(-495)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000127944133 to seven dps.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 7*h + 6. Let p be v(4). Let g be 4 - (p\/2 + -3). Put -0.5, g, -2\/7 in descending order.\nAnswer: g, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -5*n**5 + 3 + 5*n**2 + 4*n**5 - 2*n**2. What is the second derivative of h(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 59, 101, 161, 245, 359?\n\"Answer: c**3 + 23*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/770*(-1)\/(3\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 43 = 27. Let l = -12 + u. Suppose 5*a + 5*g - 35 = 0, a - 2*g - l = -1. Solve f = -2*h + 9, a*h = 3*f - f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 - 59) + (-7 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*(sqrt(1372)*2 + -2 + 5))**2 + -3)*-2.\nAnswer: 336*sqrt(7) + 10988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 9 = -3*z, z + 1 = -2*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -4 (c) -18 (d) 3\/2 (e) -428.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, -4, -0.5, -3\/17, -1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -667076?\nAnswer: -667064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*j - 127*j + 111*j = -3687226. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -199956?\nAnswer: -199956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 64 - 120.4\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62472, -62488, -62538, -62640, -62812, -63072?\nAnswer: -63438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, y: 1, r: 1, d: 5, k: 3}. What is prob of sequence yr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11997? (a) -31 (b) 2\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s + 11 = l + 53*s, -6*l + 3 = 3*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0817? (a) 0.3 (b) -0.1 (c) 1.3 (d) 6 (e) -72 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-9)*z**(3\/7)*z*z**(-5)\/z*z\/(z\/(z**(3\/7)\/z)*z)*(((z*z\/(z**15*z))\/z)\/(z**(-11)*z))**(4\/11) assuming z is positive.\nAnswer: z**(-1306\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 71e1?\nAnswer: -71db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165460 and 55.\nAnswer: 1820060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*c - 4860 - 20438 = -5104 + 12497 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -34*t + 158. Solve -12*q - 9 = -t*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ac (base 13) to base 3\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + c**2 - 6*c**2)*(-c + 2*c - 3*c)*(2 - 5 + 1)*(-2*c + 0*c + 4*c).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1377325 divided by -925\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(3*a - 2*a - 3*a) + 0 - 2*a + 0 + 0*a + 0*a + a + (-270 - 489 + 246)*(-5 + 3 + 10*a + 3) in the form k*a + v and give v.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 4. Suppose -q - 3*h - 6 = 0, 0 = -2*h - 1 - 1. Which is the closest to 1? (a) q (b) z (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -516364 or -516648?\nAnswer: -516648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - 2*sqrt(297))\/(1*sqrt(108) + sqrt(108)).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 46*q**2 - 144*q + 2148. What is l(47)?\nAnswer: -2411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*k + 15, -3*k + 3*z = -4*k + 15. Solve 0 = -k*i - i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, s: 4}. Give prob of picking 4 s.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2. Suppose 0 = 3*i - 0*i - 4*i. Let v be a(i). Suppose v = q + 3*q. Solve 0 = -q*p - p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -613270 at most -613271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4 + 576*n**3 - 34690*n**2 + 495144*n - 461032 = 0.\nAnswer: -341, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 7*m + 3*m. Let v = m - 61. Sort 1, 2, v in ascending order.\nAnswer: 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*q**5 + 112*q**4 + 29*q**2 + 22*q + 2 wrt q?\nAnswer: -2580*q**2 + 2688*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103322140 and 28.\nAnswer: 723254980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (23 + -4)*(0 + 1). Let c(q) = q**3 - 20*q**2 + 20*q - 9. Calculate the least common multiple of c(y) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -344.53 + 346. Let l = 1.336 - j. What is l rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - 0.555. Let z = 0.045 + f. Suppose -2*q + 2*u + 8 = 0, 3*q + 0*u = 2*u + 9. Sort q, z, 3 in decreasing order.\nAnswer: 3, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3903*-44\nAnswer: 171732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-104 + 13 + -4)*(-8)\/(-8). Let x(u) = 95*u**3 - u**2 - u - 1. Let j be x(-1). Is j not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1349 = -5*a - 324, -4*a + 813 = -3*t. Let b be a\/10 - 4\/10. Let p = b - -3. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68\/7 + -1163\/119. Let n be (3\/(-6))\/(2\/(-20)). Let r = 6 - n. Which is bigger: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3744+-1\nAnswer: -3745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29456 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m. Suppose -227*i - 231*i + 461*i + 3 = 0. Calculate a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-27)\/(-9)))\/(6\/(-9))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -2 - (sqrt(98)*2 + sqrt(2)).\nAnswer: -4*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3382.434706 to 1 dp.\nAnswer: -3382.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/((-18)\/((-608)\/((-32)\/4))).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.1 (b) 0.001 (c) 5 (d) 3\/2 (e) -237\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {i: 5, l: 2, v: 1, g: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-1)*x)\/x)*x**6\/x)\/(x\/(x*x**(1\/2)))**(-30)*(x**1*x*x**(-1)\/x)\/(x\/(x**(2\/3)\/x))**33 assuming x is positive.\nAnswer: x**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 70584540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2\/623, 2\/11, 2\/13, -37, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3639184 or -3639087?\nAnswer: -3639184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 44 - (-38 - -17)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-492)\/48)\/((-1)\/4). Suppose 25 = 5*w + 5*l, 4*l + h - 12 = 3*w. Let o = -7 + w. Solve o*c - 8 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/(-22))\/(14\/(-8)). Which is the nearest to -0.1? (a) n (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/7 + 790427*f\/7 - 197607\/7.\nAnswer: (f + 197607)*(4*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 5*f + 60 = 23*u, 5*u + 4*f + 116 = 0. Let g(d) = d**3 + 21*d**2 + 20*d + 6. Calculate g(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8053, -63905, -215395, -510343, -996569, -1721893, -2734135, -4081115?\nAnswer: -5810653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 - 2497401*g - 1823582.\nAnswer: -6*g**2 - 2497401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 2*y**2 + y + 5. Let z(q) = -2. Let t(f) = 3. Let p(s) = -3*t(s) - 5*z(s). Give -5*p(b) + u(b).\nAnswer: b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1368) + sqrt(38) + sqrt(38))\/sqrt(2) + -3 + -1)**2 + 5.\nAnswer: -64*sqrt(19) + 1237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32438912.\nAnswer: 2, 11, 23039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 5*v**2 - 7. Let r be i(-5). Let p(s) = s**3 - 7*s**2 - 10*s + 4. Let f be p(8). Let k = r - f. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*m = 8, 9*s - 5*s - 8 = -4*m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (38 - (-40 - -35))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 28, 187 in decreasing order.\nAnswer: 187, 28, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 64*z**2 + 3*z + 69*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from jjjgirjjwrjjir?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, g: 2, l: 1, p: 1, d: 3}. What is prob of sequence dhp?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:19 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**4 - 81750*b**3 + b - 129113?\nAnswer: 4*b**3 - 245250*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1029, 0, 5, -5, 3 in descending order.\nAnswer: 5, 3, 0, -5, -1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 30*f**2 + f + 32. Let d be s(-30). Factor -3\/4*a**d + 3\/2*a - 3\/4.\nAnswer: -3*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 106*u**2 + 3*u - 7. Let z(k) = -19*k + 269. Let j be z(14). What is the hundreds digit of n(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**4 + a - 1. Let s(r) = -9*r**5 + 3*r**4 - 2*r - 3. Let b(d) = -3*l(d) + s(d). Find the second derivative of b(p) wrt p.\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:23 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29\/4 + -1 + (-172)\/688. Suppose -l*o + 19*o = 13832. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 + -142.2. Let g = -2.4 + d. What is g rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 - -22. Suppose 3*b - 140 = -2*b + 5*f, -r = -5*b + 2*f. Let x = -15 + b. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/89 or -52712?\nAnswer: -52712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62319345.\nAnswer: 3, 5, 11, 233, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(5\/16)*(-30)\/(-4). Calculate the highest common divisor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*30*465\/(-270))\/((-5)\/(-6))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0069 in 3, -3\/4, -1, 1\/2, -4\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 22. Suppose -11*r + 19 = -s. Let f = 7 - r. Solve -4*z = -4*n, 6*z - 3*z = f*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9*(-6)\/8. What is the biggest value in -4, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.2 (b) -2\/5 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -34, -67, -104, -145?\n\"Answer: -2*j**2 - 23*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5251a (base 11) to base 9\nAnswer: -125832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -862584, -862586, -862590, -862596, -862604, -862614?\n\"Answer: -z**2 + z - 862584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0 + 0*h**3 + 0*h + 0*h**4 + 1\/55*h**5 + 1\/660*h**6 - 73*h**2. Let m(n) = 0. Calculate n.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnaapnapnppnnnnn. Give prob of picking 1 a and 1 n.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (49 - 22) - 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5835332 greater than 5835312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 0.04\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-12))\/(29\/87))\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 7. Let t be x(3). Let c(b) = -2*b**3 - 3*b**2 + b + 3. Let o be c(-2). Suppose q - o = -t. Is -1\/10 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 210 = -3*d - 181, 4*m + 4 = -4*d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154528 is divided by 2300?\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175\/9 - 190\/9. What is the third biggest value in 2\/9, t, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 + 7*q + 1 + 3*q**2 to o*q**2 + m + n*q and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5614956 to the power of 1\/2, to the nearest integer?\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 113 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 6*b - 1. Let f be u(4). What is the remainder when (f - 16\/4) + 46 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 take away -1482?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 4*n + 573. Give q(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48291, -48256, -48221, -48186, -48151, -48116?\nAnswer: -48081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 384547\/33 + -11655. Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10412 - 43430?\nAnswer: -104342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -1805921\nAnswer: -18059.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/4 - r**2 + 4*r + 4. List the prime factors of p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 14235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 20135?\nAnswer: 20140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308623, -308618, -308599, -308560, -308495, -308398?\nAnswer: -308263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = m + 5, 4*u + 11 = -m - 0*u. Let d(k) = k**3 - 8*k**2 + 6*k + 10. Let g be d(7). Calculate the remainder when m + -2 - -30 - g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8*v = -24. Let c(p) = -9 + 3 - 2*p + 4*p + 0*p. What is c(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275*-36\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717 is divided by 70.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(((-3645)\/60)\/27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 1 + 1 + (60*s + 66*s - 933*s)*(2 - 5 + 2) - 3*s + 3*s - 3*s + (-3 + 1 + 0)*(0*s - 2*s + s) in the form n + x*s and give x.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34584 - 4816. Round g to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75822, 151642, 227462, 303282?\n\"Answer: 75820*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-17052)\/8)*(3 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**4\/8 - o**3\/6 - o**2\/2 - 4. Determine m, given that a(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60036?\nAnswer: 2, 3, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/7, 129521, 21, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 - (-50)\/5. Let u(p) = 16*p - 26. What are the prime factors of u(d)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 60*d**2 - 2822*d - 41. Calculate g(31).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*f + 61*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620407872 + 56*d**2 + 620407872 + 59*d**2 - 23*d**2.\nAnswer: 92*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 0, 0*p + 24 = -9*v + 3*v - 2*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -13*y + 44. Suppose 28037 = y*t - 4*t + 3*l, -l + 28043 = 2*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/30 - 55*s**2 + 2*s. Let h(j) = -2*j + 1. Determine u(h(x)).\nAnswer: -8*x**2 + 8*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 3:30 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 4 = -i, -4*i + 8 = -4*p. Find d such that 0*d**p + 24*d - 3*d**3 + 6*d**2 - 27*d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15\/23, -0.2, -4, -6044?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34236, -34123, -33814, -33207, -32200, -30691?\n\"Answer: 17*h**3 - 4*h**2 + 6*h - 34255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/12 + 16*u**2. Let k(n) = -22*n**2. Give y(k(q)).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101a - -2?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698293086?\nAnswer: 2, 3, 2789, 41729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-34))\/((-1)\/(-12)) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**8\/7 - v**7\/105 + 2*v**5\/15 - 58*v**2. What is the third derivative of g(x) wrt x?\nAnswer: -2880*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2025 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/15)\/((-4)\/(-84)). Let k = m - -76. What is the remainder when k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nynnnnyyygyyyygy. What is prob of picking 1 g and 1 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -4*d**3\/3 + 10*d**2 + 5. Factor j(c).\nAnswer: -4*c*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1883*o = -1899*o + 1008. Solve o - 25 = -19*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -11 - (6 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/2)\/(3\/4). Suppose -3*f - s*z = 12, 0 = -8*f + 3*f - z - 3. Suppose 0 = -4*h + 12, 6*a - 2*a - 3*h = -17. Sort a, f, -1 in descending order.\nAnswer: f, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h + 25*h**2 - 25*h**2 - h**3 to the form o + y*h**2 + f*h**3 + d*h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + v**2 - 3*v**2)*(0*v**3 + 2*v**3 + v**3) - 12*v**5 + 6*v**3 - 6*v**3.\nAnswer: -18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 1 - 8*y - 7*y**2 + 8*y**2 as f*y + r*y**2 + c and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 19*w + 139. Let u(g) = -54*g - 416. Give 14*d(t) + 5*u(t).\nAnswer: -4*t - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-1 + sqrt(2299))*-4 + (sqrt(2299) - ((-2 + sqrt(2299))*1 - sqrt(2299)))*2)*-2 + 3)**2.\nAnswer: -1144*sqrt(19) + 36953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 - 418844*t\/5 + 418849.\nAnswer: -(t - 5)*(t + 418849)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2) + 1 - (3 + -5). Suppose 18 = 5*s - x, 5*x - 2 = r*s - 4. Solve 4*c + 0 = -s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - p**4 + p**4 + (-5*p**3 + 2*p**3 + 2*p**3)*(-2*p + 0*p + p) + p**4 + p - p - 5*p**4 + 5*p**4 - 10*p**4.\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 949680 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.0042 - -20. Round p to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 15*n**2 + 15*n + 1. Calculate h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x. Let c be (x + (-111)\/(-9))*-12. Is ((-9)\/18)\/(2\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 + -349. Suppose g*h = 4*h + 273. Calculate the remainder when h is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose -3*x = -4*d - 22, -x = 2*x - 5*d - 23. Let t = x - o. Solve i - 10 = -2*u + 5*i, -2*u - t*i = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 2*z - 9. Let b(j) = -7*j**2 + 5*j - 19. Let m(u) = 2*b(u) - 5*l(u). What are the prime factors of m(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 396 and -10565.6.\nAnswer: -10169.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227703662 or 0.1?\nAnswer: -227703662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 3. Let q = -46433341\/89175 - -45329\/87. Let s = q - 10\/41. What is the second smallest value in -0.9, i, s?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w)*(-3*w + 6*w - 2*w) + 0 + w**2 + 0 + (0 + 0 + 2*w)*(3*w - 4*w + 3*w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/1222188 and 9\/203698.\nAnswer: 1222188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 982 (c) -1447\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let c(z) = 3*z**2 + 14*z. Calculate -c(q) + h(q).\nAnswer: -3*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 + 1395692*z - 19538904 = 0.\nAnswer: 14, 348909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1300 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6414208312\/1485 - 4319332. Let h = q + -2\/135. What is the closest to 0 in h, 4, -3.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1401021.5 to the nearest one hundred.\nAnswer: 1401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2) + (2 - 1). Let k = 4 - r. Suppose 3*p = -k*p - 3*j + 4765, -2*p - j + 1906 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7301653\/18052425 - 2\/80233. Find the common denominator of y and 58\/175.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwww when four letters picked without replacement from iwiwikuiiwwwwwwi?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1705510 - 2?\nAnswer: 1705509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/10 and 39\/1472?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-6)\/(-6 - 0). Factor 6 + 2 + 19*b**3 + 4*b**4 - 12*b**2 - 36*b**3 + 21*b**z - 4*b.\nAnswer: 4*(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 14*x + 6. Let t be d(-13). Suppose 5*j + 2*w = -2*w - 14, -2*j + w - 16 = 0. Let p = j + t. Calculate the remainder when 50 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.4 (c) -5\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crmmqq. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14141 + 3454?\nAnswer: -10243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + (-95)\/20)*(2 + -198). Let t = -151 + c. Sort -2, 2\/7, -0.1, t.\nAnswer: t, -2, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5164\/16 + 4\/16 + 0 + -1. What is the highest common divisor of 140 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-14) + (1 - -1). Let u = c - 40\/7. Calculate the common denominator of u and 20\/3*21\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - w = 52, 2*p + 33797*w - 33800*w - 56 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104 + 7613.\nAnswer: 7717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.4273 - -107536.547.\nAnswer: 107491.1197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(7) - (sqrt(7) + 2 + -4)))*-5 + 1)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-19 + 14 - (-1 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -1\/4, -0.02, 3.4 in decreasing order.\nAnswer: 3.4, 0.4, 0, -0.02, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -283088619 plus -13?\nAnswer: -283088632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-3))\/(33 - 44612\/1368).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*b + 2786, 2*b + 6983 = 5*k + b. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3388 != 3422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163.17 + -160.17. Which is the second smallest value? (a) -0.56 (b) -5 (c) 2\/23 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -963353005 divided by 197045\nAnswer: -4889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 4*d + 1. Let j be c(4). Let g be -2*j\/(-28)*4. Let o be ((-3)\/2 + 1)*2. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:36 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 32269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -551, -863, -1193, -1547, -1931?\nAnswer: -2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 14*q**2 + 6*q + 18. Determine d(13).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1061, 2421, 3781, 5141, 6501?\nAnswer: 7861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 2 - 20 + 4 + 21*x.\nAnswer: 21*x - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 2*u - 5*m, -2*u + 3*m = -9. Suppose 7 + u = p. Suppose 4*g + 16 = 0, g + 18 - 4 = z. What is the least common multiple of p and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -504*p + 510*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -13 - (8 + 36 + -2 - 8)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*c**2 - 97*c**2 - 26*c**3 + 3*c**3 + 1 - 1 + c + 2*c**3 - c + (2 + 0 - 4)*(2 - 2 - 2*c**3).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-10) - 0)*5. Let f be h\/7 + 284\/14. What is the greatest common divisor of 60 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 305 = 5*g, -3*s + s - 170 = -3*g. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-136) + 1368\/136. Solve -22 = h*b + b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -142de6 - 1f6?\nAnswer: -142fdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 31752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1146, -2291, -3438, -4587, -5738, -6891, -8046?\nAnswer: -9203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 59370 times -275\nAnswer: -16326750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 18 = -3*j, 3*j - 3*j = -0*b + 3*b for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 44312310 (base 5) to base 9\nAnswer: 646514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 5 + 3 + 22 + 24 + -42\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = v + 4*v - 140, 164 = 5*i - v. What is the lowest common multiple of 2 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 7 + 4 + 3 - 3 - 5*g. Let j be (-1)\/1*(-100)\/10. What are the prime factors of k(j)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 23 = -r. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -497.\nAnswer: 5\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -814\/75 + -62\/25. Calculate the common denominator of 37\/25 and a.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009371835 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*s**3 + 2*s**2 - 1 + 381*s + 426*s**3 - 1163*s to the form l*s + x*s**3 + h*s**2 + a and give l.\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -293, -597, -901, -1199, -1485?\n\"Answer: x**3 - 6*x**2 - 293*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 + 739203*c\/5 + 295682.\nAnswer: -(c - 739205)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 3, 19, -3, -9 in decreasing order.\nAnswer: 19, 3, -3, -4, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736874 is divided by 29473?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -123. Let g = 74 + x. Suppose g = 2*l - 3*h - 549, l = -5*h + 128 + 166. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340 (base 6) in base 5?\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831 greater than or equal to 1828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1206836.499965 - 1206839. Let q = 2.5 + h. Round q to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286304 divided by -2\nAnswer: -143152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422100 + 10?\nAnswer: -422040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -387 - -386.6. Put -1, 2\/19, i, 4 in increasing order.\nAnswer: -1, i, 2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 25) + (-1732 - -1724).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018903188.\nAnswer: 2, 3, 3001, 111599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*m + 2191 = 992 - 997 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*w**3 + 82*h*w - 847*h - 179*w**3 - 9148 with respect to h.\nAnswer: 2*w**3 + 82*w - 847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**3*k)\/k*k)\/k*k**1*k*k*k*k**(-4\/7)*k**(-3))**28 assuming k is positive.\nAnswer: k**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79945 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/3 + z**4\/3 - 2*z**3\/3 - 2*z**2\/3 + z\/3 + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/(-5) - (24\/(-20))\/((-4)\/30). Which is the smallest value? (a) -1 (b) 8\/7 (c) -5 (d) 2 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1\/(-3) - 302885*(-37)\/555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 25.39. Let l = j + 0.367. Round l to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-19 + (20 - -30))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 181 + 155. Suppose 3*k + 24 = n. Suppose 3*u = k + 9. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 177*m**2 + 810*m - 80560. Calculate j(175).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 218655.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 7009740.\nAnswer: 77107140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u**2 - 2004*u - 1344. Calculate r(-222).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -16. Suppose u - f = -3*w, -w = u - 17 - 20. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 25*h**2 - 800*h + 19904. Give q(25).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-2)\/10)\/((-10)\/25)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11 less than -175?\nAnswer: -173.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*i**2 + 402*c*i - 99530*c - 8*i with respect to i.\nAnswer: -2*c*i + 402*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203241?\nAnswer: 13, 92557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1045121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6355576 years?\nAnswer: 0.0006355576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/198 - 32\/66. Let y = 4 - 4.3. Which is the nearest to y? (a) -1\/3 (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*((sqrt(1100)*-2 + sqrt(1100) + 0)**2 + sqrt(1100) - (-5 + (sqrt(1100)*-2)**2) - (sqrt(1100) + 2 + 0)**2*1).\nAnswer: -17597 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 6387*m**2 - 3396285*m - 3402675.\nAnswer: -3*(m - 1065)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2. Let d(z) = -2*z**3 - 16*z**2 - z. Determine -d(x) - 6*q(x).\nAnswer: 2*x**3 + 4*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 11. Let p be y(-6). Suppose -5*g - 205 = -p*d, 0 = 3*d + 5*g - 2*g - 129. Calculate the remainder when d is divided by ((-2)\/(-3))\/(8\/180).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26*(-1 + 2 - 0). Suppose 2*o - 150 = -u. Suppose -6*r + 4*r = -5*i - o, i - 17 = -r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 2. Let l be d(-2). Suppose c + l*c + 4 = 0, 5*c = v + 9. Let h = -18 - v. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11ab + 9?\nAnswer: -11a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*v + 5 + 0 - 6)*(4*v - 11*v**2 + 8*v**2 + 0*v + (-v + 1 - 1)*(0*v - 4*v + 2*v)) in the form n*v + w*v**3 + h + b*v**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/24 + 7*z**3\/6 - 12*z**2. Let y = 16 + -9. Calculate the smallest common multiple of y and i(2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 - -0.87\nAnswer: 73.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*z - 29080*z**3 + 409*z.\nAnswer: -29080*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 241300 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79414 is divided by 191?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 = -2. Suppose 8*x - 3*x + 3*m - 32 = 0, -p*x - m = -12. Find the second derivative of 2*v**3 - x*v - 364*v**2 + 364*v**2 wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18587.\nAnswer: 18587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 93231*k**2 + 186471*k + 93237 = 0.\nAnswer: -1, 31079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2 - 4*c + 3*c + 0*c. Calculate l(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3072543342?\nAnswer: 2, 3, 11, 46553687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11126, 11104, 11062, 11000, 10918, 10816?\nAnswer: 10694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*p**3*q - 62*c**3*p**3 - 2*c**3 + 2*c**2*p**2*q - 501*c*q wrt p?\nAnswer: 6*c**3*q - 372*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-16708.\nAnswer: -50124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyyyyyyyyyywwyww. Give prob of sequence ww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 1. Let p = -143230\/183 + 2348\/3. Let z = 545\/366 - p. Which is the nearest to 0? (a) -2\/11 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0\/(-3))\/2)\/(-1). Let z = 3 + -1. Differentiate l*m**2 - m**z + 4 - 5 with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616 = 2067*w - 55031 + 6039 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 10, -s - 102 - 15 = 3*r - 10*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -2*b**7\/7 - b**5\/20 + 4*b**3\/3 - 4*b**2 - 74*b - 2. Find the second derivative of l(j) wrt j.\nAnswer: -240*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*v**2*x**2 - 598065267*v**2*x - 11*v*x**2 - 396863*x**2 wrt x.\nAnswer: -20*v**2 - 22*v - 793726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21*r**3 + 3*r**2 - 7*r - 8. Let z be u(4). Let c = z + -788. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 927\/7 + -1809\/14. Find the common denominator of 533\/(-26) - (-2 - 1) and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8013 + -5520. Calculate the remainder when l is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16971906 and 0.308.\nAnswer: 16971906.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/51 (b) 4 (c) -2 (d) 2\/5 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 + 213. Calculate the remainder when j is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.5 + -18. Let g = 3.6 - h. Let a = -2 - g. Sort -4, -2, a.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37088*z - 59537*z + 11968*z - 99225*z.\nAnswer: -109706*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) -21 (c) 3 (d) 0.3 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*z + 34*z - 14*z + 26*z)*((0 + 0 + 2)*(6 - 3 - 2) + 1 + 1 - 1 - 12 + 20 + 3) in the form v + q*z and give q.\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41149.2ml?\nAnswer: 41.1492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10536 = -17*f + 188628. Let u be ((-1 - 7501) + 2)\/((-9)\/f). What is u rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390 - 3455480.6344?\nAnswer: -3451090.6344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3*sqrt(77)*-2 + -1*1*sqrt(77) + sqrt(77)))\/(sqrt(539)*1 - sqrt(121)\/(3*sqrt(11))))**2.\nAnswer: 2268\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 - -46. Suppose -152 = 3*p - 4*f + 8*f, 0 = 3*p + 2*f + 160. Let m = g + p. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1379 + 2. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16889 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*720\/(-400)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/837*42\/(-4)*10\/35\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4010 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3422912*f**4 + 14*f**3 - f**2 + 115923349*f.\nAnswer: -41074944*f**2 + 84*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 155780764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16274223 (base 8) to base 10.\nAnswer: -3766419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - s**2 - s + 1. Let c(v) = -8*v**3 + 28*v**2 - 24*v - 52. Let k(b) = c(b) - 4*q(b). Factor k(p).\nAnswer: -4*(p - 7)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1772473?\nAnswer: 1772473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 1. Let t be y(1). Suppose 3*q - 36 + 0 = 0. Suppose -k + q = 2*k. What is the closest to -1 in k, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 133*p**2. Let g(n) = 2*n. Determine g(a(f)).\nAnswer: 266*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 plus 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 165*c**2 - 3*c - 4. Let m(z) = 126*z - 2636. What is the smallest common multiple of d(3) and m(21)?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 3440*u + 246882.\nAnswer: -2*(u - 1789)*(u + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119986 - 119982. Suppose -j + 2*j - 161 = 3*n, -3*j + 443 = -n. Calculate the smallest common multiple of k and j.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -0*b - 17*l + 197, -2*b - 48 = -3880*l + 3876*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 83079, -29, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and 215823649.\nAnswer: 215823649.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 303 = 451. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27191 is divided by 618?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2 - 2*m + 3*m - 2. Let l(v) = 2*v. Let s = 10 - 4. Let t(w) = s*c(w) - 4*l(w). Let z(y) = -7*y. Determine t(z(p)).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 13*z - 8, -3*h - z = -9 - 5 + 30 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 26*y**2 + 171*y - 475. Calculate the remainder when 142 is divided by a(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8637 or 2?\nAnswer: 8637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 86*n**2 + 1. Let y be a(-1). Suppose -g = -2*g + y. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (sqrt(99))**2) + -2 - 3*sqrt(44)\/sqrt(4)) + 1)*-4.\nAnswer: 8*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1805 + 10801\/6. What is the common denominator of q and -79\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24174 and 2234752?\nAnswer: 20112768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 20*q = 120, -189*o + 2*q = -191*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 109.194 and 0.416.\nAnswer: 45.424704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -560 + -23?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 86. Which is the closest to 6? (a) s (b) 2\/5 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/258 and 37\/301?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 12:19 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 876 + -875. Which is the nearest to -0.1? (a) -17 (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-21)\/g))**(2\/53) assuming g is positive.\nAnswer: g**(46\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37*1)\/(2\/6). Let n = -41 - q. Is (-16)\/20*n\/(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + 1 + sqrt(891) + -4 + sqrt(891) + 0 + sqrt(891) - (0 + 0 + -3*1*sqrt(891)))**2.\nAnswer: -324*sqrt(11) + 32085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*s = 175, 90 = -3*u - s - 27. Let l = u + 287. What is the highest common divisor of 57 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.3 - 43.77511076?\nAnswer: -338.07511076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/9)\/(s\/s**(-14)*s*s*s))**(-28))**33)**(1\/29) assuming s is positive.\nAnswer: s**(49280\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*t**2 - 13*t - 2*t**2 - 4*t**2 wrt t?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 427 = -4*h. Let i = -64 - h. Which is smaller: -198 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1464)\/(-144))\/61*-3*6\/27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*y - 87*y - 48*y - 32*y.\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*4)\/sqrt(3)*4)\/((sqrt(576) + sqrt(576)*-1)*2 + sqrt(576) + sqrt(576)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/9)\/((-92)\/23)*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 4*u - 6*u + (0 + 4 + 0)*(2*u - u - 2*u))*(0*u + 0*u - u**2) as g + q*u + v*u**2 + c*u**3 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -5*l**7\/14 - l**6\/6 + 11*l**5\/4 + 15*l**4\/4 - 10*l**3\/3 - 10*l**2 - 13*l. Suppose z(h) = 0. Calculate h.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 0, -x + 5*x - 16 = 4*r. What is the remainder when (2\/x)\/((-5)\/(-240)) is divided by 6\/(-54) + 64\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105392966?\nAnswer: 2, 7, 1367, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 24278*k - 24282*k, 0 = 2*k + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 998 a factor of 178211862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1880*y - 14442 = -1382*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/(((-42)\/(-14040))\/(-7)). List the prime factors of i\/(-8) - ((-66)\/8 - -8).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdz when three letters picked without replacement from {c: 1, x: 3, d: 1, h: 3, b: 1, z: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4543, 4747, 5095, 5593, 6247, 7063?\nAnswer: 8047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 17472, 3, 5, -2, -6, -1 in ascending order.\nAnswer: -6, -2, -1, 3, 5, 7, 17472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72033660 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 834321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Suppose -3*b = -5*s - 15, 3*s + s - b = -12. Let a = 3 - -1. Let k(o) = -2*o. Calculate a*k(m) + s*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/11)*(i\/(i\/(i\/(i**12*i))))\/i assuming i is positive.\nAnswer: i**(-141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -738 or -740?\nAnswer: -740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99072, 396356, 891824, 1585470, 2477288, 3567272?\n\"Answer: -y**3 + 99098*y**2 - 3*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6172453*f + 10086521.\nAnswer: 6172453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45536, 182167, 409886, 728693?\nAnswer: 1138588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighty-seven quarters of a millimeter?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64*h**3 - 40 + 5*h**2 - 10*h**2 - 38 + 4*h**2 + 3*h**2 wrt h?\nAnswer: -192*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*h = 8, -4*h = -w + 3*w + 16. Let i = 3.2 + 0.8. Sort i, w, -3 in increasing order.\nAnswer: -3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-1 + (sqrt(133) + 2*sqrt(133))\/sqrt(7) + sqrt(19).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16819 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/112192 and -107\/42072.\nAnswer: 336576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -643, -964, -1283?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 72*z**2 - z - 6. Let h(i) be the first derivative of -i**3\/3 - i + 2. Let u(s) = -6*h(s) + k(s). Is u(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1122, -2302, -3530, -4800, -6106?\n\"Answer: b**3 - 30*b**2 - 1097*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8082 rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 36*o**4 + 8*o**3\/3 - 38*o + 2. List the prime factors of t(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 996 - 992. What is the nearest to 0 in -0.1, g, -37, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24484706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1712680 and 85\/2397752.\nAnswer: 11988760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 40. Solve -21*g + v = -16*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1649535 and 1649534 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/120 + 3*w**5\/20 - 13*w**4\/24 - 2*w**3\/3 + 43*w**2. Let g be u(7). Solve g - 5 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 170468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 + 7\/14. Suppose -3*x = -7*x - r*i + 54, 2*x - 2*i - 18 = 0. Solve 3*a - 2*t = 4, 0 = -4*a + 2*t - t + x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 78*l**2 + 72*l - 92. Let m be x(38). Which is greater: m or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 7. Let o be n(-7). Solve -w - 5 = 2*k - o, 2*w + 8 = -2*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*r - 244*r = -96. Solve 2673 = -r*v + 2643 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 17 = -3*q - 9, 0 = -5*k + 5*q + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 1. Let s be r(-2). Let f be (s*(-6)\/(-33))\/(-1). What is the third biggest value in -1, 0.5, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 408385.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5972)\/(-3)*(-39)\/(-26)?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87468*i*r**3 + 5020*i - r**2 wrt r.\nAnswer: -524808*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-67)\/(-5494) - 2951\/(-82). Let j(u) = 20*u**2 + 4. Let r be j(-5). Suppose -r = -p - 3*p. What is the greatest common factor of x and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 11 + 0 = 3*s, 4*a = -s + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 v when four letters picked without replacement from {p: 1, v: 4, h: 2, x: 4, l: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**2 + 7*s**4 + 64*s - 10 - s**3 + 11 - 64*s wrt s?\nAnswer: 168*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -0.2, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*v + 560, 147 = -2*v + 3*v - 2*j. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 426537343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5065.285 decades to years.\nAnswer: 50652.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163643430 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from wccwcwww.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 2, 606.\nAnswer: -36, 2, 606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51508.31ml to litres.\nAnswer: 51.50831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*a**3 - 17*a**2 + 9478*a.\nAnswer: 558*a - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.712 * -0.5.\nAnswer: 0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1112005707 to 3 decimal places.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 102*b + 5874. Give u(43).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3 + 30*t**2 - 84*t - 272 = 0. Calculate t.\nAnswer: -17, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/6, 22, 2\/9, -14\/11, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22834076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 8*p. Let f(k) be the first derivative of 8*k**2 + 811. Give f(j(b)).\nAnswer: -80*b**2 - 128*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + (sqrt(200) - (1 + sqrt(200) + 1*sqrt(200))) + 4*1*sqrt(200) + sqrt(200)*1*5 + -1)**2.\nAnswer: -1120*sqrt(2) + 12845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 772\/21 or 37?\nAnswer: 772\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -789 divided by -37.\nAnswer: 789\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - k - 55 + 45 = 0, -6 = -2*v + 3*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 922, 4455, 10342, 18583, 29178, 42127?\n\"Answer: 1177*p**2 + 2*p - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18892 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.0913, -1\/2, 2\/3, -0.1, 5, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110 (base 2) in base 14?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2234151757 to the nearest integer?\nAnswer: 47267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 2378*f - 29780. Calculate u(805).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15107849, 15107847, 15107845, 15107843?\nAnswer: 15107841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*p + 132*p + 9285 = 3*t, 2*p = -5*t + 15486. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*n - 1488 = 90*n. Let q be n\/(-18) + 2\/3. Let m be 2 + (-248)\/(2\/(-1)). Calculate the greatest common divisor of q and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.747 - 11.517. Let t = -56 + s. Let p = 0.229981 - t. Round p to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x - 10. Suppose 5*k + 5*v = 0, -k - 4*v - v = -8. Let d be 3\/18*k - 111\/(-9). Solve 3*y + 8 = -2*o, -x*y + 0*o - 4*o = d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1104*w**3 + 12*w**2 + 5*w + 150. Let l(d) = 3313*d**3 - 32*d**2 - 14*d - 449. Let j(r) = 8*g(r) + 3*l(r). Find the first derivative of j(x) wrt x.\nAnswer: 3321*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - ((-17 - 10) + 28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201102120112202 + -101?\nAnswer: 201102120112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydohllidyidylh. Give prob of sequence ld.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(4\/2 - 1). Let r be ((-2)\/p)\/((-5)\/20). Suppose -8 = 4*u, -4*h + u + r = -0*h. Solve 5*o + 11 = -3*j, h = j - 4*o + 3*o + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13032*a + 25766*a = 12912*a + 40216 + 891680 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153*0.3.\nAnswer: -45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1990107 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*u + 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9caa52b - 3?\nAnswer: -a9caa531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -456935600 rounded to the nearest one million?\nAnswer: -457000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Let n(s) = -2 - 4*s**2 - 2*s + 3*s**2 - s**3 - f*s**2. Suppose 6*l + 8 = -4. What is n(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**6*z)*z**(-1))**18)**(-47) assuming z is positive.\nAnswer: z**6768","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, 2, 6.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgg when three letters picked without replacement from {e: 2, o: 1, g: 2, t: 1, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/21)\/m**8)\/((m**(3\/13)\/m*m*m)\/(m\/m**(-10))) assuming m is positive.\nAnswer: m**(457\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 20*d - 17*d - 2*g, 2*g + 13 = d. Solve 2*j = -4*q + 3*j + 21, -5*q + 45 = -d*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -249, -380, -511?\n\"Answer: -131*m - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2.1, 190\/71?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 17*m - 12. Solve -d - 2*n + m = 0, -3*n + 15 = 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2642 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-3) + 4 - 0\/(-1). Let n(z) = -5*z**2 - 2*z. Let h(w) = -2*w**2 - w. Determine t*n(d) - 7*h(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 - (112 + -9 + -211)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -2. Suppose -w + 3 = 0, 4*n = -2*w + 4*w - 10. Let z = -17.1 - -17. What is the nearest to z in 2, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*3)*1)\/(sqrt(12)\/(sqrt(6)\/sqrt(3))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.01 from 8.2474.\nAnswer: 9.2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 20 = -4*t, 80*t - 15 = o + 77*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218265754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 2) + 1\/((-1)\/3). Suppose -2*o = -2*g + 24, 3*g - 31 - 10 = d*o. Suppose 242 = 5*u - 83. What is the remainder when u is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76788 + 72078.3. What is d rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021867014 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 155, 228, 297, 362?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0803*0.1\nAnswer: 0.00803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85046111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-9))\/(-5)*-6. Let c(z) = -453*z - 4987. Let p be c(-11). Sort p, n, -2, 12 in decreasing order.\nAnswer: 12, n, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 772*c - 778*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32200\/460)\/(2\/(-2*(-2)\/8)). Let b(s) be the first derivative of 10\/3*s**3 + 15*s - 4 - z*s**2. Solve b(c) = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/(-123)*-3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6281*n + 2. Let m be v(2). Let p = 150881\/12 - m. What is the common denominator of -79\/10 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*805\/14*-1*(-3)\/(-60)\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1190 by -5.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + 0*d + 0*d)*(-5 + 2 - 4) - 1 + 1 - 2*d)*(47*d - 34*d - 28*d).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 6*a - 1 + 0 + 2 in the form y*a + t and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/126*7)\/((-17)\/(-36))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:56 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38.3921181ns?\nAnswer: 0.00000000000006347903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 2*q**4 + q**4)*(-3 + 1 + 3) + (0*q - 3*q + 0*q)*(-13*q**3 - 8*q**3 + 16*q**3).\nAnswer: 17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/(((-39)\/(-6))\/(-1)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**4\/24 - n**2. Suppose 0 = 3*w + g - 122, -3*g = -6*g + 15. Let v(l) = 39 - 2*l - w. Give t(v(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10137820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1236 or -1234?\nAnswer: -1234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*k**2*s - 2*b**2*k - b**2*s - 9*b*k**2*s - b*k*s + 14*k**2*s wrt b.\nAnswer: 4*k**2*s - 4*k - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -5. Let u = 0.37 + -22.37. Let a = 18 + u. What is the closest to 0.1 in a, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + o - 22*o + 4*o + 0 to r + m*o and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 235210761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.20095 millilitres in litres?\nAnswer: 0.00520095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23e98 - -4?\nAnswer: 23e9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1276\/(-77) + (-64)\/(-112).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10321 + -11?\nAnswer: 10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2478 - -7392. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(6) + sqrt(24)*-2)\/(sqrt(2) - sqrt(4)\/sqrt(2)*4))**2 + (1*sqrt(3) + -3 - (4 + sqrt(3)*1)).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -112 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3461523371 + 1?\nAnswer: -3461523370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29900 divided by -92?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*k - 997 = -742 + 1061 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-3)*(-2 - (-36)\/21)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-4)*(-8)\/(-6). Solve -5*a - n*t = 12, 0 = -3*t - 7 - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v - 3*v - 4*v. Let z(u) = -2 - 3*u**2 + 2. What is w(z(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.106. Round t to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63851 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*p - 4*c - 136, 5*p = -4*c + 153. Suppose 5*h = n - 82 - 8, -360 = -5*n - 5*h. Calculate the remainder when n is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110766.3 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 308 + -161. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-21))\/(2\/(-12)). Let d be (-6)\/(-2) + -3 + 22. Let p = d - 112\/5. What is the smallest value in p, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0 + 9*a**2 + 1\/20*a**5 - 2\/3*a**3 + 0*a + 1\/6*a**4. Factor p(w).\nAnswer: (w + 2)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18055, -36443, -67085, -109981, -165131, -232535, -312193?\n\"Answer: -6127*p**2 - 7*p - 11921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:46 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63111 - 106390. Let o = -49494211\/292 - y. What is the common denominator of 50\/9 and o?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 560351 (base 7) to base 11\nAnswer: 68109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.025794 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 2*y + 2. Let x(t) = -t - 1. Let m be x(-4). Let p be z(m). Let q(g) = 23*g**2 - 27*g**2 - 4*g - 4*g**3 + 5*g**3. Give q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -35*51\/340.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**3\/3 - 90*l. Let a(k) be the second derivative of -5*k**4\/6 + 5*k**3\/6 - 76*k. Determine a(o(x)).\nAnswer: -40*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47088, -94246, -141404, -188562, -235720, -282878?\nAnswer: -330036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4147\/3190*56\/26?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -1193*p**5\/60 - 229*p**4 + 1640*p**2 - 2. Find the second derivative of t(d) wrt d.\nAnswer: -2386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y. Suppose 3*o - 10 - 2 = y. Solve o*l + 11 = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*s + 2*s + 19, 2*s = -j + 12. Suppose -p = j*p + 5*w - 365, -385 = -3*p - w. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 7}. What is prob of sequence bz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29845003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 12*c - v - 20 = 0, 5*v = -5*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 y, 1 s, and 1 p when four letters picked without replacement from {p: 1, y: 1, s: 1, h: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -0 - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(84) + (sqrt(84) - (sqrt(84) - (-2*sqrt(84) + sqrt(84)))))*6)\/sqrt(12) - (-2 + sqrt(126)\/sqrt(2)))*2)**2.\nAnswer: -432*sqrt(7) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a kilogram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 - 3*f - 4. Calculate the remainder when 54 is divided by q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 1, s: 7, l: 6}. What is prob of sequence sal?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59526, 119086, 178646, 238206, 297766, 357326?\nAnswer: 416886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-2 - -1) - (-4 + -108)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -782*l**3 + 160*l**2 - 1395*l + 31.\nAnswer: -4692*l + 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 760.99998811 + -761. What is y rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 5714 = -647. Suppose -3*h + a = 5*s, -41 = -5*s + 4*h + 550. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*c - 980 = -79*c. Is 35 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 57*y - 151 = 686 + 2030 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 - q**2 - 2*q - 3. Let r(a) = a**2 + a + 1. Let j(f) = n(f) + 2*r(f). Is j(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 112\/(-28) + 0 + (0 - -2). Is -9 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 13) in base 15?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l - 48 = 0. Let x(t) = 12*t - l*t + 2*t**2 + 2*t**2. Let d(f) = -f. Calculate d(x(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*d + 233 + 17*d**2 - 231 + 34*d to o*d**2 + f + h*d and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 72 = 18*j. Let b(i) = -9*i + 24. Determine b(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 + 11*z**4 - 475*z**3 - z**2 - 2*z + 1289.\nAnswer: 60*z**2 + 264*z - 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p**4\/6 + 107*p**3\/6 - 19*p**2 - 86*p\/3 + 28\/3 = 0 for p.\nAnswer: -1, 2\/7, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**3 - 129*x**2 + 131*x**2 - x**3 + (x**2 - 3*x**2 + x**2)*(-5*x + 5 - 5).\nAnswer: -3*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 102 = 82. What is the remainder when u is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196\/((-42)\/(-42))*36\/72\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7145.596ns in milliseconds?\nAnswer: 0.007145596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.05, -2\/7 in decreasing order.\nAnswer: 0.05, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -16 + 18 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 7}. Give prob of sequence vvdv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (-2 + sqrt(637)*-4 - (3 + sqrt(468) + -2)) + -4)**2.\nAnswer: 612*sqrt(13) + 15105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (-5 - (4 - 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1813*g**4 + 109*g**2 + 3*g + 3?\nAnswer: -43512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(105)\/sqrt(3))\/sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 9*m**2 + 10*m - 11. Let v be l(8). Let w be (24\/9)\/((-4)\/240). Let d be w\/(-60) + (-4)\/6. Solve -d*o + v = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m + 3. Determine h(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37, -24, 6\/13, 0.558?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 228 = -4*s, -a + 296 = 8*s - 3*s. Let f = -31 + s. Calculate the greatest common factor of f and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1809?\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 5 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 3*b + b)*(-4*b + 4*b - b**2)*(-b + 2*b - 2*b) - b**4 - 4*b**3 + 4*b**3.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 11*x**7\/210 + x**5\/6 - 3*x**2. What is the third derivative of c(t) wrt t?\nAnswer: 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -442261089 or -1326783269\/3?\nAnswer: -1326783269\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2 - -2)) + -32 + 27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8705*g*w**3 - 2*w**3 + 1915*w wrt g?\nAnswer: -8705*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -10 in increasing order.\nAnswer: -10, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4923 is divided by 4556?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 492*a - 5675. What is w(-234)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 - 12*o**3 + 16*o**2 = 0. What is o?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 3350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 - 7875*d**4 - 207490*d**3 - 1023840*d**2 - 1280800*d = 0 for d.\nAnswer: -20, -4, -2, 0, 1601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -477, -478, -479, -480, -481, -482?\n\"Answer: -t - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 3*u**2 - 4*u**2)*(0*u**2 + u**2 - 4*u**2).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -538969416*f. Let g(w) = -w. Calculate u(g(x)).\nAnswer: 538969416*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*m)*((-1 + 4 - 2)*(-4 + 2 - 13) + 0 + 4 - 5)*(0 + 0 - 2).\nAnswer: -128*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q - 3. Let b(r) = -r**2 + 8*r + 2. Suppose -d + 2*v = -10, 4*v + 1 + 3 = 0. Let f be b(d). What are the prime factors of m(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 32*s - 222\/7.\nAnswer: -2*(s + 1)*(s + 111)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85)*-2*4 + sqrt(85))\/((sqrt(720) - sqrt(20))\/sqrt(4)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 9*g + 31 = 5*g, -4*g - 7*g - 22*g - 7*g - 40 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 10*l - 92. Let k be x(-15). Let r(a) = -a + 8. Let w(j) = -2*j + 23. Determine k*r(v) + 6*w(v).\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7149 to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**3\/6 - 10*t**2 - 4*t. Differentiate u(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -28.304\nAnswer: 14.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6656*t**2*w**3 - 19*t**2*w - 186*t**2 - t*w**2 wrt w.\nAnswer: -39936*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 4*o**3 - 26742*o + 26742*o)*(4*o - 3*o + 2*o)*(-4 + 0 + 2).\nAnswer: -24*o**4 - 276*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 - 210.883. Let r = f + 1.883. Is -18 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -21*u. Let g be (-14)\/(-63) + 32\/18 + 0. Let t(z) = 9*z**g - 10*z + 12*z - 2*z. Give t(x(k)).\nAnswer: 3969*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (2 - 0)\/(8\/28) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 0, 5*o - 6 = 3*v - 3. Let h = v - -3. Find the second derivative of 0*d**4 - h*d - d**4 + 0*d wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.66 - 27.76. Let b = -16 - -15.86. Let k = b + 0. Sort c, 3\/8, k in descending order.\nAnswer: 3\/8, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 smaller than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5 + 11*l**4 + 194*l**3 - 6540*l - 2?\nAnswer: 20*l**3 + 132*l**2 + 1164*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*c = -214*c + 77. Let b(d) = -d**2 - 19*d + 10. Give b(c).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24520141 rounded to four decimal places?\nAnswer: 0.2452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(320) + 1)*-5 + 2)**2 - (sqrt(60) - (sqrt(60) + (-3*sqrt(720))\/sqrt(12)))\/(sqrt(12) + 2*(sqrt(12) - sqrt(36)\/sqrt(3))).\nAnswer: 1277*sqrt(5) + 32064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2409 (base 11) in base 16?\nAnswer: -c53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, x: 14, k: 1}. Give prob of sequence kklx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-29)\/(-261)*69\/(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a8 (base 16) in base 10?\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 261507391 to the power of 1\/2, to the nearest integer?\nAnswer: 16171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86672.13 and -4.\nAnswer: -86676.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4011 divided by -7?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49006 and 2061.\nAnswer: 441054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/18700 and -131\/5610?\nAnswer: 56100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 14. Let b be c(-6). Suppose 2*i = b*j - 42, -3*i + 81 - 18 = 4*j. Suppose -3*u + 0*u - j = 0. Let x(g) = -2*g - 4. Give x(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 2224*k + 392770.\nAnswer: -2*(k - 1267)*(k + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)**20)**(-25\/3)*(g**(-2\/3))**(-23)*g\/(g*g\/g**(-8))*g\/(g**(-1\/4)*g) assuming g is positive.\nAnswer: g**(-1921\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n - l = 85, -69 = -4*n + l. Suppose 0*i + 4*i = 5*d + 1, 4*d + i - n = 0. Let w = 63 - 58. Calculate the smallest common multiple of d and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {p: 1, g: 3, c: 2, u: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 - 309. Sort x, 2, 1\/5, 8 in descending order.\nAnswer: 8, 2, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -154*n - 15. Let q(j) = -113*j - 12. Let i(m) = 5*q(m) - 4*w(m). Let d(l) = 1377*l. Calculate 5*d(p) - 136*i(p).\nAnswer: -51*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 115. Let q = -31 + 34. Let d(s) = 4*s - 114. Let m(g) = q*l(g) - 2*d(g). Let k(i) = -2*i. Calculate k(m(b)).\nAnswer: -2*b + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26165117 and 15323?\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + n = 1, 0*n = 2*u - 5*n + 5. Let m(v) = -9*v**2 + 16 - 3 - v**3 + 13*v - v**2. Let f be m(-11). Which is the closest to u? (a) f (b) 2\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321137.4 years to centuries.\nAnswer: 3211.374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2605535 + -1?\nAnswer: 2605534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/377 or -1?\nAnswer: 4\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w*w\/(w\/w**(-2\/25))*w)\/w)\/w*w**15\/w)**(10\/13))**(-2\/43) assuming w is positive.\nAnswer: w**(-1492\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a)**20*a**(-8\/3)*a*a*a**6\/a assuming a is positive.\nAnswer: a**(-227\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-4))\/((-12)\/32). Let j = 0.2 - 0.6. Let h be (-6)\/(-2) - 35\/14. What is the closest to -2\/3 in i, h, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144\/61 - -2666\/1403. Let o = c + -1957\/184. Find the common denominator of o and (-230)\/75*10\/(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 51122 and 0.09?\nAnswer: 51121.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/75 - (-22)\/5. What is the third derivative of -17*o**4 - 14*o**4 - 20*o**4 - 4*o**2 + 33*o**s wrt o?\nAnswer: -432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21994908 divided by -7202.\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 4*o**3 - 11*o**2 - 9*o + 13. Let s be i(8). Round s to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1742*n = -1747*n + 90, 0 = 3*a - 5*n - 150. Let i = 150 - 50. Calculate the greatest common divisor of a and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -2*u - 1\/2*u**4 + 0*u**2 - 1\/10*u**5 + 0 - 2\/3*u**3. Find q, given that h(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 2\/7, -0.1, -0.6258.\nAnswer: -52, -0.6258, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n + 6. Let k(p) = 3*p. Let l(i) = -4*k(i) + x(i). Let s = -9 - -9. What is the units digit of l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + a + 1, -317*a + 320*a = u + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63 - 2*v**2 + 63 + 10*v**3 + (-2*v**2 + v - v)*(2*v + 0 + 0) - v**3 + 4*v**3 - 2*v**3.\nAnswer: 7*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + 12*q**2 + 15*q - 6. Let o be w(7). Which is the third smallest value? (a) -28 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2) - 1\/2. Let i(v) = 6*v**2 + 3*v - 3. Let a(s) = -s + 1. Let u(h) = 6*a(h) + i(h). Is u(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 36*i**2 - 4*i + 1. Suppose -b + 0*b = -z + 4, 0 = -3*b + 2*z - 7. What is the remainder when 62 is divided by p(b)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841, -4311, -12947, -29335, -56061, -95711?\nAnswer: -150871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 79. Suppose -3*o = y*r - 500, r + 5*o = 92 + 8. Calculate the remainder when r is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 311750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3368*r**3 + 23*r - 2*r**4 + 3367*r**3 + 50*r to the form f*r**3 + h*r**2 + k + q*r + s*r**4 and give q.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48 - 137 - 278 - 101 - 55)*(0*u**3 + 10*u**3 + 3*u**3) to the form m + j*u + x*u**2 + t*u**3 and give t.\nAnswer: -6799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*i**2*q*x - 2*i**2*q - 16604*i**2*x - 5*i**2 - 5*i + 113*q wrt x.\nAnswer: 23*i**2*q - 16604*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39030 is divided by 287?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 705 + -704. Is (z*(-3260)\/(-50))\/((-4)\/(-610)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31030887 divided by 10343629\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48819524*v**4 + 369682497*v wrt v.\nAnswer: 585834288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**2 - 2*d - 6*d**2 - 3*d**2 + (-d - 4 + 4)*(-2 - 2*d + 2) to the form s + x*d + v*d**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4530*x - 1 - 4533*x + 13589*x - 4528*x. Let f(h) = -2*h - 3 + 2 + 0. Determine 3*f(n) - 4*l(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 1897620*z**2 + 17078265*z - 34156350.\nAnswer: 5*(z - 379515)*(z - 6)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h + 86*h - 103*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88806, -177613, -266420, -355227, -444034, -532841?\nAnswer: -621648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 3, y: 4}. Give prob of picking 1 y and 1 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 58*z + 2. Let i be f(-3). Let r be i\/(-22) + 12\/66. What is the first derivative of -4 + 1 - 4*k + r wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/37598 and 27\/20.\nAnswer: 375980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36396*c**4 - 3*c**2 + 1839*c wrt c.\nAnswer: 873504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 1, o: 1, s: 1, z: 1}. Give prob of sequence mz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y + 3*y - 2*y.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1100\/218423 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.97 - 4. Let z = 0.06 - -0.07. Let d = z + i. Which is the biggest value? (a) d (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2860\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -6, 2, -3.\nAnswer: -18, -6, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, n: 2, r: 1, f: 1, b: 3, w: 1}. Give prob of picking 2 n, 1 b, and 1 r.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77 - 72) + (-3 - 1) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 12) in base 10?\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 42*w**2 - 33*w + 26. Let s(j) = -28*j**2 + 22*j - 17. Let b(a) = 5*g(a) + 7*s(a). Let p(h) = 4 + 0*h + 5*h**2 + 2*h - 6*h. What is 4*b(n) - 11*p(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 162. Suppose 0 = -2*s - 0*s + f. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/18 - (-12)\/72. Let y = i + 1\/3. Which is the nearest to 0.2? (a) -4 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180239*k*n**3 + k*n**2*t + 18*k - 3*n**3*t**2 + 2*n**2 + 5036*n*t**2 wrt n.\nAnswer: -1081434*k - 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2095 - 14663\/7. Which is the closest to j? (a) -3 (b) -1 (c) 35\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 24*r - 21*r. Solve -65*a + 98 = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 + 3. Let v be y(-3). Let k(d) = 5*d + d - v*d. Let h(u) = -7*u**2. What is k(h(x))?\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -126, -242, -346, -432, -494, -526?\n\"Answer: v**3 - 123*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/27 + 71\/270. Let z(w) be the third derivative of -1\/6*w**4 - 1\/4*w**6 + 0 + 0*w**3 - 1\/56*w**8 + 11\/105*w**7 + r*w**5 - 2*w**2 + 0*w. Solve z(o) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*1\/(-12)*21. Suppose -5*b + 10 = -3*w, -b = 2*w - f - 8. Solve b*n = -9 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a79 + bb1?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/12 - 248*n**3\/3 - 30752*n**2 + 1293*n. Factor v(j).\nAnswer: -(j + 248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -x + 3*t, 6*x + 3*t = x + 988. Suppose 3*u - 243 = 3*h, -5*h - 43 = -3*u + x. What is the remainder when u is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327848 (base 13) to base 6\nAnswer: 41243012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11175, 22485, 33803, 45129, 56463?\nAnswer: 67805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 3*h**2 - 3*h**2 + (12*h - 15*h - 33*h)*(5*h**4 - 4*h**4 - 4*h**4).\nAnswer: 107*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6. Suppose l = -6*c + 2*c. Let d(f) = -f**3 + f**2 - f + 17. What is the remainder when 65 is divided by d(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 0.38, -1959\/17 in ascending order.\nAnswer: -1959\/17, -1, 0.38, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 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: Expand (3*i**2 - 3*i**2 - 3*i**2)*(-2*i**3 - 5*i**3 + 4*i**3) + i**4 - i**4 - 2*i**5.\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3264)*-4)\/(-1*sqrt(27))*3.\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6216 - 1473. What are the prime factors of c?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-4))\/(5 - (-86)\/(-24)). Is c < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3504\/(-91504) - (-23)\/989.\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40408863.\nAnswer: 3, 11, 43, 28477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010000101110 - 100?\nAnswer: 101010000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 15, y: 4}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -9 (c) -23.8453 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1365571\nAnswer: -3\/1365571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -3\/89 (c) 2\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/4*(-2 + 0). Let a = 15 - j. Let h = -2 - -32. Solve 3*r + 2*v = -19, a*r + h = 3*v - 8*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -1) + 108 + (-44 - -33 - (2 + -9)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t - 3*t + 18*t)*(-3 + 5 + 0) + 3*t - 2*t + 2*t + 0 + 0 + t.\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = -10*x + 11*x. Let q = x + -352. Suppose -4*k = 3*r - q - 216, -4*r + 476 = 4*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:00 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 3*g)*(3 + 3 - 5) + (5 + 0 - 4)*(-3*g - g + 3*g) + 5 - 5 - 9*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147083, -147395, -147707?\n\"Answer: -312*b - 146771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 11*u**2 - 14*u - 21. Let z be (9\/3 - 27)*(-19)\/(-38). What is t(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 - 3*v + 2. Suppose -4*h = 5*k - 5*h - 49, -38 = -4*k + 2*h. Calculate the remainder when q(-3) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -6. Suppose a = -3*a, -m - a = c. Let w be 0 - (-4 - m - -2). Solve -18 = d - x - 3*x, 0 = -4*d + 2*x - w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:41 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 59*p - 11 + 24 + 6*p as a*p + l and give a.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in milliseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -47*a**2 - 4 + 35*a**2 - 2*a + 43*a**2 - a. Suppose 2 = 2*b - 3*b. Is t(b) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {e: 2, a: 1, q: 1, n: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*r**3 + 127*c*r + 2*r**3 - 578*r**2 - r wrt c.\nAnswer: -r**3 + 127*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 + 27*q + 74. Determine z(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 31*k - 2. What is the hundreds digit of g(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/122 and -39\/2.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**2\/7 + 64*t\/7 + 256\/7 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*h + 10, 5*v - 2*h = v + 18. Suppose -3*q = f + 9, -f - 4*q = 2*f + v. Calculate the remainder when 7 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 - 5218\/15. Let b = 8 + -9. Let h = 0.9 + 0.1. What is the closest to b in 2, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 14*u - 24. Let a be p(17). Let i = -35 - a. Suppose -i = -o + 149. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b + 520 = 5*p, -2*b = 4*p - 390. Let m be (-12)\/10*p\/(-15). Let v = m + -5. Calculate the least common multiple of 4 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1293919?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -635936430*y**5 - 658964345*y**2.\nAnswer: -38156185800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46653 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-5)\/(-10)). What is the first derivative of q + 4*q - z*q + 0 + 2 wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -27*q**2. Let g(v) = 4*v - 62. Let d be g(16). Let p(w) = 16*w**2 - 7*w**2 - 8*w**d. Give p(m(c)).\nAnswer: 729*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {v: 1, d: 1, f: 1, n: 1, t: 5, e: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - 1 - (34 + (-8 - -7))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-19) + (2 - (-1078)\/133)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*b - b**3 - 13*b + 76*b - 27*b in the form o*b + s*b**3 + t + n*b**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -33. Let u be 6\/y - (-7)\/5. Let o(n) = 3*n**2 - 3*n + 1. Calculate o(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**2\/2 + 6*v + 163. Let b(c) = -3*c - 17. Calculate -3*b(j) - 8*x(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14464? (a) -3\/2 (b) -3 (c) 4\/3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8*-1)\/((-184)\/12 - -14) + -11. What is the third biggest value in -102.4, 0.5, -2\/15, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4300609 by 391.\nAnswer: -10999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -351 - 156. Suppose -130 = -5*a + 4*h, -2*a + 13*h + b = 14*h. Find the common denominator of a and 24\/23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1038 + 3763. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k + 21. Let i(m) = m**2 - 5*m + 2. Let y be i(k). Let f = y + 215. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 6, z: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/8, 3\/7, -82282, 1 in decreasing order.\nAnswer: 1, 3\/7, -3\/8, -4, -82282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(0*k**4 + k**4 + 2*k**4).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16050 divided by 2\nAnswer: -8025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 32821826 and 32821829 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/9 (b) -2\/15 (c) 5 (d) -881 (e) -2 (f) -0.4 (g) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) 11 (c) 16.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4\/7 - 8212*i**3\/7 - 266500*i**2 - 112687500*i\/7.\nAnswer: -4*i*(i + 125)**2*(i + 1803)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1378898 by 1198.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-12)\/v)\/v)\/(v\/(v*v**(4\/15))) assuming v is positive.\nAnswer: v**(-206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8437*s**3 - 468*s**2 - 133307208*s wrt s.\nAnswer: 50622*s - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 minus -0.1?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*(-6)\/(-8))\/(216 - 475422\/2212). Factor -4\/5*d + 0 - b*d**2.\nAnswer: -d*(7*d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4871*n - 19468*n + 4878*n + 4869*n + 4848*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/15 + (-180)\/54. Solve k = 143*m - 135*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 32*k - 4*j + 36 = 0, 4*k + 19 = j. What is the second biggest value in 0.02, 0.3, k, -2\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234 + 234 + 27*f)*(86*f**2 - f**2 - 22*f**2).\nAnswer: 1701*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + (-12)\/(-3) - 17)*(-3)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 1:43 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 427 - 420. Solve -5 + 5 = f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22458*(-28)\/(-126))\/(75\/27 + -3)?\nAnswer: 2, 3, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 48*f**2 + 97*f - 2347. What is z(49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/9*(-354)\/413. Solve 2\/9*x + 46\/9*x**3 + 50\/9*x**2 - h + 10\/9*x**4 = 0.\nAnswer: -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299260 = 6278*j + 116*j + 30712 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039526 rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -157*x**3 + 1208*x**2 + 14*x - 3. What is t(8)?\nAnswer: -2963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 4. Let k be q(3). Suppose 7*n - 2*n - 35 = k*c, -3*n = c - 1. Sort -2, n, 3 in descending order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 10:14 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1) + -1 + 6. Is (-37)\/v*(-10 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1430 divide 961155910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 561.06 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2. Let g(y) = -y**2. Let v(p) = 2*g(p) + 3*q(p). Let j(z) = 43*z**2. Give v(j(f)).\nAnswer: 1849*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43010 and 187335.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 3311, 11240, 26679, 52130, 90095, 143076?\nAnswer: 213575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7673\/9 - -858. What is the common denominator of 26\/45 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33003250 rounded to the nearest 10000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -652721, -1308405, -1964099, -2619809, -3275541, -3931301, -4587095, -5242929?\n\"Answer: -y**3 + y**2 - 655680*y + 2959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311782 is divided by 343.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24049 + -13799. Is 125 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*d**2 + 630*d - 54*d - 4 - 14*d**2 to w*d + j*d**2 + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8035935 + 5?\nAnswer: 803593a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 11. Give q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in -3\/2, 1\/2, 5, -5, -147?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y + 2568*y**4 - 3*y**2 + 2*y**3 - 5133*y**4 + 2563*y**4 + 6 in the form h*y**3 + q*y**2 + t + k*y + p*y**4 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1113498484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/7)\/s*s*s**(-5\/6))\/(s**(-2\/5))**33*(s**1\/s**(1\/6))**40 assuming s is positive.\nAnswer: s**(3139\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 305721 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 11*u + 7. Determine p(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.016053796 times 5\nAnswer: 0.08026898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352 is divided by 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttzttz. What is prob of picking 3 t and 1 z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3955 by -4.\nAnswer: -3955\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(272) - (sqrt(272)*2 - sqrt(272) - sqrt(272)))**2 - sqrt(272)) + (sqrt(272)*-1*-4)**2.\nAnswer: 20*sqrt(17) + 2992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 20745120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b = 0. Suppose -h - c + 39 = b, -4*c + 121 = -2*h + 5*h. Calculate the highest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.5, 1\/5, 1\/3, 164?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 37*x + 88 + 48 - 17 + 14*x. Does 12 divide v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 25*x + 11. Calculate the remainder when f(27) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1844 = -5*a - 4*q, 0 = -3*a + 5*q - 302 + 1401. What is the highest common factor of a and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 676.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(14)\/(sqrt(12)\/(sqrt(24)\/sqrt(4))) + -2 + 3.\nAnswer: -3*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*a + 3 = 0, 2*n = a - 3 + 6. Let x = 0 + n. Suppose -4*q = -4*r - 100, q + 3*r + x - 6 = 0. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -21002000?\nAnswer: -21001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i\/(i**2\/i)))\/i**6 assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13717173917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 383573135 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15*m - 11. Suppose 2*a + 28 = 3*n - 5*n, -4*n - 11 = -a. Suppose 0 = -3*q + 12. Let r(f) = -5 - 8*f + 6*f + 2*f + 7*f. What is a*r(t) + q*c(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30259.18ml in litres?\nAnswer: 30.25918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4853443, 9706887, 14560331, 19413775, 24267219?\nAnswer: 29120663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9063 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: Is 0.1 smaller than 24594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhnhuuuunhhhh. Give prob of picking 1 n and 3 h.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 1, -1, -22, -496, -5 in ascending order.\nAnswer: -496, -22, -7, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -113155 (base 14) to base 8\nAnswer: -2166047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) + -9 + 4 + -199. Let m = x - -233. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x - 9 - 4*x - 4 - 10. What are the prime factors of k(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*y = -141*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttttuttttr. What is prob of picking 1 u and 2 t?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:00 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*((-66)\/30 - -3). Let i be (-64)\/20 + y - 2\/(-10). Let j be (-2)\/(-3)*27\/6. Solve 3*n - 2*d - 7 = -30, -j*n + i = 4*d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5675602011 minus -288?\nAnswer: 5675602299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2 + (-4 + 1 + 0)*(-2 - 2 + 0))*(1 + l**4 - 1)*(-2 + 0 + 0) to v*l**4 + i*l**2 + q*l**3 + c*l + m and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*p + 0 = -5, -5 = -o - p. Suppose 0*k - 52 = -o*b + 2*k, -2*k - 42 = -4*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017380032 rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 51, 164, 383, 744, 1283, 2036?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48978 and 36?\nAnswer: 97956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwwwwvwwkwowwwwvvovr. What is prob of sequence vkw?\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3 = -17, 4*x = 5*g - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 17.2. Let f = -10 - -13. Let n = -0.6 - -0.4. Which is the nearest to w? (a) 1\/4 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 + -0.9. Let s = -403 + 581. Let q = s - 176. Which is greater: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-9)*m\/(m\/(m**(-6)*m*m)))\/((m*m\/m**(-8)*m)\/(m\/((m\/(m**(-1\/4)\/m))\/m))) assuming m is positive.\nAnswer: m**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, m: 8, j: 2}. Give prob of picking 3 m.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2359*v + 32388 = -371*v - 21813 + 248031 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 41 - (75 - (105 + -25))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.198 - -0.0715.\nAnswer: -0.1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 181254 and 2130.\nAnswer: 64345170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000321 to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 2*j**2 + 7*j - 5. Calculate i(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o)**(5\/13)\/(o**(-1\/3)*o*o**7) assuming o is positive.\nAnswer: o**(-103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w = 14*w - 2*i, 0 = 2*i + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (558\/(-12)*2)\/(-1). Calculate the highest common divisor of l and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-96)*9*4\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 + -279. What is the smallest value in 35, -2, 1\/7, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 5131\/(-21) - (-4)\/(-6). Let s = 457 + z. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = 2*n - 60, 135 = 5*n + 5*d. Suppose 0 = 4*t - 3*t + 4*m + 1, 2*m - 10 = -4*t. Calculate the greatest common factor of t and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxga when four letters picked without replacement from {a: 2, x: 5, t: 1, k: 1, v: 1, g: 6}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-19)\/(-5852)*-11)\/((-4)\/20))\/(-5)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12*n + 353 + 10187 = 0, 4*n = t - 10604. List the prime factors of t.\nAnswer: 2, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2 + o - 39. Let d be q(0). Let j = -152 - -82. Let k = d - j. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/((m*m**0\/m)\/m)))\/m*m)**(-32)\/((m\/m**(5\/4))\/m**(-6\/7)) assuming m is positive.\nAnswer: m**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f - 3. Let z be 6 - (f + (-6)\/(-3)). Let a(t) = 7*t - 3. Suppose -9 + 21 = -3*d, -2*d + 2 = -5*b. Let v(o) = 3*o - 1. Calculate b*a(n) + z*v(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 991851 and 33726.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7329)\/28)\/((-2)\/(-8)*-3)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 9, -4, -1, -57?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9*l + 135. Suppose -3*f + 0*v = -2*v + 134, -3*v - 207 = 4*f. Let o = -33 - f. Calculate the remainder when l is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -81*r**2. Let m(h) be the third derivative of h**5\/30 - 1589*h**2. Determine p(m(x)).\nAnswer: -324*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*t**3*v**2 - 4*t**3*v + 35*t**2*v**2 + 2*t**2*v + 2*t**2 + 14*t*v**2 + 2738*v wrt v.\nAnswer: 64*t**3 + 70*t**2 + 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15061537 to the nearest integer?\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61717 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*j - 6*j, -j = j - 3*j. Let l(f) be the first derivative of 0*f**3 + c*f - 13\/2*f**4 + 4 - 11*f**2. What is the second derivative of l(b) wrt b?\nAnswer: -156*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24121 (base 5) to base 8\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 1802*i - 896*i - 906*i - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27587312 is divided by 725979.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c*((c**0\/c)\/c)\/c)**(-35)*(c**0)**(1\/8) assuming c is positive.\nAnswer: c**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818223 is divided by 7301?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -25*g**5\/6 - 55969*g**4\/6 + 285703*g**3\/2 - 1250169*g**2\/2 + 902646*g - 182574 = 0?\nAnswer: -2254, 6\/25, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2494*p**4 - 3*p + 36790?\nAnswer: -9976*p**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6478 - 3*m**3 + 12963 - 6485.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 54199530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 5 - 9) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 2\/9, -1, 2.1, 1\/3, 3.\nAnswer: -1, -0.16, 2\/9, 1\/3, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18786 divided by 62.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -0.2.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2.9. Let z be -3 + 11 + -8 - 4. What is the closest to a in 1, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 2*s + 7 - 29, 2*h - 4*s = -14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 110, 227, 384, 581, 818, 1095?\n\"Answer: 20*n**2 + 17*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.4 (b) -3\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144845439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1088 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35012 + 49372. List the prime factors of w.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115*n = -5*u - 1110*n - 25, -16 = 5*u + 4*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/20, 4\/9, -15, 2, -6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249259, -498513, -747767?\nAnswer: -997021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -4*f. Suppose -f*v + 2*s = -48, v + s + 80 = 4*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1261 (base 7) to base 14\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 121*n = 36*n - 2*n - 1925 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -150615 (base 7) in base 11?\nAnswer: -1a971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(3)*-2*4*-1 - (sqrt(108)*-4 - 6*sqrt(3)*4)**2).\nAnswer: -6916 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3.08. Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41aa - -a460?\nAnswer: 6261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-91)\/(-42))\/13)\/1. Let w = -13 - -18. Suppose p + 4*n + 0*n + 13 = 0, -w*p = -4*n - 7. Are p and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 * -362\nAnswer: 1013.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1110 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0826 and 4.\nAnswer: -0.3304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:11 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 725407312 and -1.\nAnswer: -725407312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5636*u - 6340*u + 57024 for u.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -181 divided by 1\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 9834183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**2 - 34*z + 9. Let y be r(-7). Do y and 14\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**2 - 3*m. What is g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*g - 26 = 0, -m + 4*g - 15 = -6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**3\/3 + b**2 + 1. Let k = 2 - 6. What are the prime factors of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152)*1)\/(sqrt(512)*-1))**2.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -0.3, -4, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 + -190. Let j(d) = d**3 - d**2 + d + 1. Let k(n) = -2*n**3 + 3*n**2 - 6*n. Let h(y) = p*j(y) - k(y). Calculate h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43193527.4059 + 0.013\nAnswer: 43193527.4189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 0.155.\nAnswer: -2.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:28 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/14 + (-6)\/(-21). What is the second derivative of -20*h - 5*h**3 - 16*h**5 + u*h**3 + 2*h**3 wrt h?\nAnswer: -320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 3 + 4*j + 28*j.\nAnswer: 36*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - w - 115 = -c, w + 1 = 0. Let m(r) = -39*r + 5 + 5 - r**2 + 95*r - c*r. Is m(16) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**9\/60480 + g**8\/2880 - g**7\/630 - 3*g**5\/20 - 14*g**2. Let j(f) be the third derivative of d(f). Calculate j(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 65.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -65*z - 23. Suppose 5*s = 20, 0*v - 55 = -3*v - 4*s. Suppose -4*u + v - 25 = 0. Is 31 a factor of n(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.002 - -0.122. Which is the third biggest value? (a) u (b) 2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6678898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6003 = 5*k + 1923. Let v be k\/132 - (-4)\/(-22). Let p = 6 + v. What is the remainder when 21 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p - 6. Let x(s) = -4*s - 5. Let i(y) = -3*h(y) + 4*x(y). Suppose 0 = -5*o + 3*o. Suppose -2*n - 9 + 17 = o. Calculate i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257982723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 8*v = -3*g + 3, -2*g - 5*v = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/185623 and 47\/353617?\nAnswer: 63297443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*q + 19, 0*z - 4*q = 3*z + 40. Let p = 28 + z. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 301*t - 1500. Calculate w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 - -99. Let j = 19 + -19.4. What is the closest to 5 in k, -0.3, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 4. Suppose -5*x + z = 4, -4*z + 6 = -2*x - 10. Let u be j(x). What is the highest common divisor of u and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.06.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 6 = -29*k + 42*k, -2*v = 2*k + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14915212 is divided by 1894?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 7:43 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, y: 2, w: 3, p: 3}. What is prob of sequence pp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 9. Let w(u) = u**2 - 88*u + 88. Let j be w(87). Let l be 3\/j + (-1 - r). Solve 0 = 5*x + 3*b - l, -2*b + 5 + 1 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 2*f**2 - 3*f - 4. Let b be s(-2). Solve 2*w = -0*w + b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**5\/60 + j**4\/4 + j**3\/3 + 2*j**2. Suppose -3 = 2*f - 13. What is s(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + -3 + 2.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/8 + 2034*t**4 - 32565*t**3\/8 - 24417*t**2\/4 = 0. What is t?\nAnswer: -5426, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 120 = -5*y, 48 = 2*y + y - 3*u. Calculate the remainder when 79 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17012.189 + -17184. Let c = -250 + 422. Let j = c + u. What is j rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 82 + 41. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55508599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 4*c + 6. Give w(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36*-2.529\nAnswer: -91.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 674482 to the power of 1\/2, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4343c (base 14) to base 15\nAnswer: -3333e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352 = 301*l - 249*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 399741.187 and -112.84.\nAnswer: 399628.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36110838 is divided by 2552.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891529 to the power of 1\/2, to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*j + 287*j - 66 = 27. What is i in 0*i + 0 + j*i**2 - 5\/3*i**4 + 1\/3*i**5 + i**3 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -7217253?\nAnswer: -7217236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 11. Let w = -14 + 32. Find the common denominator of (-441)\/(-48)*k\/w and -13\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10623 divided by 13\nAnswer: -10623\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19801 divided by 12075\nAnswer: 19801\/12075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b - 4. Let c be p(-5). Suppose -2*n + x = -2*x - 5, 3*n - 14 = -2*x. Calculate the greatest common factor of n and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 0.058\nAnswer: 0.00638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 2 - m - 8*m + 4*m - m - 2*m + (3 + m - 3)*(-43 + 39 + 25) - m - 1 + 1 to v + b*m and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/6 + 202\/6.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(-6))\/s))**49)**(3\/28) assuming s is positive.\nAnswer: s**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*h + 37. Let y(o) = 2*o + 30. Let w be y(5). Solve -w = -5*c + h*k, k = 5*c - k - 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047 to five dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbqgbgqnqbbqggggggn. Give prob of sequence bbq.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4619 = 206*a + 1149 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*m**3 - 307*m + 307*m)*(-7*m + 0*m + 0*m) as h*m**2 + x*m + f*m**4 + i*m**3 + r and give f.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 35*a - 148 - 86 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a - 15*a + 45*a)*(a**4 + a**4 - 1 - 4*a**4).\nAnswer: -92*a**5 - 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*c = -317*c - 78 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27408 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-255)\/(-6) - 5) + (-4)\/(-8). What is the second derivative of -3*a**2 - 34*a - j*a - 51*a + 31*a**2 wrt a?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.778 and 96?\nAnswer: 1994.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xssljuxlsxejxjl. What is prob of sequence jxu?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.39. Is a bigger than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/((-3689)\/(-124) + -31)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (176\/(-72) - (-8)\/18)*34035\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 + 3. Let h = 196 - 88. Let r = -107.7 + h. Sort r, p, -0.1 in increasing order.\nAnswer: -0.1, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43824 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1745 + 1610. Suppose 0 = 3*j + x - 0*x - 2014, -5*j + s = 2*x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -170 and 0.06.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 8:24 AM?\nAnswer: 212","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*m - 14 + 2 = 0, 0 = 2*q + 5*m + 20. Sort 4, q, 3 in increasing order.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f - 1. Let p = -31 + 28. Let o be 4 - (3\/p - 0). Let m(k) = -8*k**2 + 5*k - 6. Let y(c) = o*w(c) - m(c). Differentiate y(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9*-9*(0 + 2). Suppose 4*r + s = 176. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 21*m.\nAnswer: m*(m - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a823 (base 16) to base 11.\nAnswer: 199323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*b = -0*m + 515, -185 = -2*m - 3*b. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -71.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/45 and 97\/594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**3 - 18 + 41*h**2 - 62*h**2 - 22*h. What is the lowest common multiple of 10 and z(-20)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-10))\/(2\/3))\/(168*218\/549360)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1184529, -1184464, -1184397, -1184328, -1184257?\n\"Answer: v**2 + 62*v - 1184592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.7 + 16.7. Which is the biggest value? (a) g (b) 0 (c) 0.2 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccxcxxccccccccxcccx. Give prob of picking 2 c.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, o: 1, m: 6, y: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16614 + -0.04.\nAnswer: 16613.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 4*f**2 + 7*f + 7. Suppose -7*r - 10 = -2*r. Let l be n(r). Solve 9*c - 4*c - l = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -21.17. Let i = -0.01 - 0.02. Let g = i - t. Which is the second smallest value? (a) g (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/12 - m**3 - 13*m**2. What is s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)*a**(2\/7)\/a*a*(a*a*a**1*a*a)**(1\/21))**(5\/3))**(-16) assuming a is positive.\nAnswer: a**(-320\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 71. Which is the nearest to -4? (a) -2 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4 + 5 - 451*i - 2 - 64*i. Let w(x) = -258*x - 1. Let k(t) = 3*s(t) - 5*w(t). Is k(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14035 - 13342 = 77*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/(-30))\/(-3))\/((-192)\/(-256))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.21 + -73.3.\nAnswer: -74.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2*(-3)\/(-6)). Let k be (-146)\/(-3 + o + -1). What are the prime factors of 2*(-6)\/4 + k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/20 - 3*b**2. Let i(m) = 7*m - 6. Let s(r) = 23*r - 8*r - 2 - 11. Let l(v) = 13*i(v) - 6*s(v). What is l(x(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2 - 2)*(-173 - 234 - 25).\nAnswer: 864*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1588*s + 1254*s - 1074*s.\nAnswer: -1408*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8550184 or -8550161?\nAnswer: -8550184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603936.97 rounded to the nearest ten thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6. Solve -6 = -f*d, 3*n + 0*n - d = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 1)*((0 + 5 - 4)*(-p + p + 2*p) + (0*p - 3*p + p)*(-4 + 0 - 3)) as a*p + u and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4582422487 to the nearest integer?\nAnswer: 67694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from uhepe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, b: 15}. What is prob of picking 3 v?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 594, 462, 328, 192?\n\"Answer: -d**2 - 129*d + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 (base 10) in base 12?\nAnswer: 8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-15 + 11 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-4) + 154\/24)*-18. Let l = b - 44. Calculate the common denominator of l\/(-6)*(-1)\/18*1 and 53\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 4*v - 60 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34932 and 12461704.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2105 and 27\/46615.\nAnswer: 19624915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k. Let z(s) = 10*s + 10*s + 5*s - 2*s + s. Give m(z(r)).\nAnswer: 192*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1071 + 1080 = 0. Let d(q) be the first derivative of q**4\/4 + q**3\/3 - q**2\/2 - q + 21. Calculate d(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t - 14*t**4 + 6*t**4 + 6*t**4 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 45. Let g be 6\/h + 23\/7. Let s = 0.7 + -3.7. Which is the third biggest value? (a) s (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3445205, -13780882, -31007013, -55123598, -86130637?\n\"Answer: -3445227*m**2 + 4*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 + 32*s - 135. List the prime factors of x(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474150382 and 2162.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/15 + 75962*b**2\/15.\nAnswer: 2*b**2*(b + 37981)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*w. Let h(g) = -g - 1. Let b be h(-3). Let z be b\/4 + 1\/2. Which is greater: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4171 = c - 4177, -n - 5*c + 30 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -82*u + 34. Is -1\/1786 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -24, 9, 11 in descending order.\nAnswer: 11, 9, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b - 30. Let k be 48\/80 - (-154)\/b. Let s = 5 + -1. Calculate the greatest common divisor of s and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -74\/667?\nAnswer: -74\/667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*i = -4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 + 827 = 68*t. Suppose -t*g + 40*g = 38275. List the prime factors of g.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31350 (base 6) to base 16.\nAnswer: -1092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3484195 rounded to 3 decimal places?\nAnswer: -0.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {k: 5, q: 1, u: 7, z: 1, l: 1, o: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919 less than 1913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 89 - 5*u - 39675*u**2 - 39670*u**2 + 79344*u**2 to the form v*u + z*u**3 + x + y*u**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17171942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 168*o - 12. Let u(n) = -n + 2. Let i(a) = -k(a) - 6*u(a). Let m(z) be the first derivative of -z**3\/3 + 78. What is i(m(g))?\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**3 - 6*w - 5. Let a(v) = 6*v + 87*v**2 + 10 - 86*v**2 - 8*v**3 - 4. Let c(y) = 6*a(y) + 7*t(y). Calculate c(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2190 and 2190?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.063.\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 + 3832*p + 7672 = 0. Calculate p.\nAnswer: -2, 1918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba33 (base 14) to base 7.\nAnswer: 162563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601098.\nAnswer: 2, 3, 100183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1 + 0)*-2. What is the tens digit of 136\/14 - p\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 13*p**3 + 11*p**3 + 15*p**4 - 23*p**4 + 9*p**4 - p**2 as j*p**3 + b*p**4 + s + y*p + w*p**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/28 and (3 - 5)*59\/(-12).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/4*(240\/10)\/(-48)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Suppose d*c + 13 - 41 = 0. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.009 + -17.009. Let u = 3.02 + -0.02. Let j = 2 - u. What is the smallest value in j, 0.2, 2\/3, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let o(b) = 10. Let x = 20629 - 20631. Determine x*f(l) - o(l).\nAnswer: 2*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 6)\/((-755)\/(-260) - 3). Which is bigger: w or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15663381547 + -1413\nAnswer: 15663380134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -5*k, 5*x - 4*x = 4*k - 7. Suppose -k*s + 0*s = 2*g - 403, -5*s - 2*g = -669. Calculate the greatest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a - 5. Let y = 37 - 33. Let x(o) = -6*o + 3. Suppose 4*t - 21 = t. Calculate t*x(s) + y*v(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4008048675 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 3*p**2 - p**3 + 5*p**2 - 3*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8*u**3 + 3*u**2 - 6. Let a(p) = -17*p**3 + 7*p**2 - 13. Let l(d) = -3*a(d) + 7*o(d). Find the first derivative of l(h) wrt h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 4:18 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/33 and 58\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:57 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39684 + 39681. Let m = 2.4 + -0.6. Let h = -1.67 + m. Which is the third biggest value? (a) 3 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**3 + 8*q - 3. Let b = -35 + 53. Let j be ((-2)\/(-3))\/(3\/b). Is t(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 11. What is the common denominator of 2 - (-2)\/18*53 and (k - 1)*(-2)\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -10*j + 2*h + 472588, 5*j - 590735 = -4*h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 3 = 0. Let p(a) be the first derivative of -3 - a + 2*a**3 + 0*a**f - a**3. What is the first derivative of p(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 65693?\nAnswer: 65693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 29 + 151. Find the common denominator of -101\/6 and ((-206)\/i)\/(4\/(-6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*f + 12 = 0, -h = 3*f - 8 - 0. Let w(q) be the first derivative of 24 + 13*q**h + q - 4*q - 12*q**2 - 3*q. Calculate w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - 2*a)*(4692 + 63*a - 4692) + 4*a**2 + 3*a**2 - 3*a**2.\nAnswer: -122*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77486, -77480, -77462, -77426, -77366, -77276, -77150, -76982?\nAnswer: -76766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465 divided by -8341.\nAnswer: -465\/8341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 + 2*q**2 + 21*q. Let x be p(-5). What is the second derivative of 3*a**2 - 141*a + x*a - 151*a + 9*a**3 wrt a?\nAnswer: 54*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from ookkkkokgkkxgkkoog?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.09 and 0.25.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93456 and 3960?\nAnswer: 467280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 (base 12) in base 8?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 52*q. Let v(x) = -47*x**2. What is v(o(u))?\nAnswer: -127088*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*n + 12, -4 - 5 = -2*o - 5*n. Suppose -4*r = -2*m + 4, -r - 2*r = -4*m - 7. Does 7 divide ((-9)\/o + 2)*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/80*(-112)\/378*-3)\/(4\/(-2))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -31 + 5*z + z + 0*z - 10*z. Let q be l(-9). Solve -21 = -q*u - 2*p, 3*u - 1 = 2*p + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*(f\/(f*f\/(f*f**(-4\/3)))*f*f)\/f)**(-7\/10))**(-27) assuming f is positive.\nAnswer: f**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:28 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -57\/2, 3\/7, 1\/18, -4, 2\/3, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 635*c**2*d**2 + 128*c**2*d + 5*c*d**3*z + c*d - 2*z + 2 wrt d?\nAnswer: 1270*c**2 + 30*c*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3353651*o*v**2 - 26*o*v - 2*o + v + 160 wrt v.\nAnswer: 6707302*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o - 7. Suppose -6 = -3*x + 5*p, -8 = -2*p - 2. Let s be x\/(0 + 1 + 0). Calculate the least common multiple of 14 and i(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 514662536 and 5336.\nAnswer: 5336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33424004 (base 5) to base 12.\nAnswer: 123014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12053, 12054, 12055, 12056, 12057?\n\"Answer: f + 12052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3.18 (b) -3 (c) -0.099 (d) -0.05 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 7517 = 17937. What are the prime factors of y?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 80*h - 36. Let p be s(26). Solve p = -l + 6*z - z, 0 = -3*l + 5*z - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35581296?\nAnswer: 2, 3, 43, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2. Let m(n) = 3 - 6 + 0 - 8*n + 2. Determine m(d(i)).\nAnswer: 16*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 160. Let r be v(0). What are the prime factors of (r\/30)\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/10 + 2*z**4\/9 + 4*z**3\/9 - 8*z. Factor h(g).\nAnswer: -2*g*(g - 2)*(3*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, e: 3, y: 4, r: 1, o: 2}. Give prob of picking 1 y and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 840708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -22. Solve s*r = -4*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122874863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -402049866267557 - 0.5.\nAnswer: -402049866267557.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ere when three letters picked without replacement from {e: 2, j: 1, o: 1, z: 1, r: 1, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 161941 divided by 3\nAnswer: 161941\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 10*r - 60. Suppose 2*d - 10 = -t, 0 = r*d - 5*t - 14 + 8. Solve -d*f = -h + f - 5, -3*h + 3*f - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((3 + -6)\/21)\/((-288)\/252). What is the nearest to -2 in -8, -5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 3*i)*(2*i - i - 3*i) + (2*i - 3*i + 3*i)*(i - 3 + 3) + 7*i + 2*i**2 - 7*i + (0*i - 3*i + 2*i)*(2*i - 2*i - i) + 2*i**2 - 2*i**2 - 7*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/4)\/(1338\/4683*(-14)\/8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11\/(g\/(g\/g**(1\/19))*g))**(-8) assuming g is positive.\nAnswer: g**(-1512\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 164 divided by -58159\nAnswer: -164\/58159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 - 154. Let a(u) = 5*u**3 + 11*u**2 + 5*u - 12. Let g(b) = 9*b**3 + 21*b**2 + 10*b - 23. Let n(w) = 7*a(w) - 4*g(w). Calculate n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-3\/5)*w\/(((w*w**(5\/2)*w)\/w)\/w)*w\/w**3 assuming w is positive.\nAnswer: w**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496507407 - 496498847.799152. Let k = x + -8614.200848184. Let g = 55 + k. What is g rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 3\/(-3))*36200000\/12. What is j rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (14 - (3 - -8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 1. Let v be k(-3). Suppose -3*z + 64 = 3*l + 2*l, 6 = v*z - 4*l. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40 + ((-7)\/(-28) - 7\/(-4)). Suppose -2*x = -8*x + l. Suppose 11*g - x*g = 0. Sort 1, -4, g in decreasing order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 8 - 60)*(-30*b + 134*b + 121*b + 192*b) to the form q + o*b and give o.\nAnswer: -31275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 5. Let s(j) = 4*j**2 - 6*j - 10. Let v(y) = -11*y**2 + 17*y + 29. Let t(z) = -17*s(z) - 6*v(z). Give 4*f(n) + 5*t(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14529104050 to the nearest 1000000.\nAnswer: -14529000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 10. Let x(g) = -g + 11. Let k(a) = a**2 - 6*a - 2. Let b be k(0). Calculate b*x(q) - 3*j(q).\nAnswer: -q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 + 17*b**3 - 52*b**3 + 14*b**3.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 + -3784.658568?\nAnswer: -3665.658568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6009?\nAnswer: 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -22.9. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.6845018 - -89513552.3154982. Let d = j + -89513553.50000145. Let m = -8.5 + d. Round m to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 401222 and 26753773?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2343483, -5, -0.1 in descending order.\nAnswer: 5, 2, -0.1, -5, -2343483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 400 and -2?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:41 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + -0.3370914?\nAnswer: -0.3970914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 29 + 6)*(-3*u**2 + 2*u**2 + 0*u**2).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x + 948. Let s be m(0). Suppose 0 = -0*v + 4*v + s. Let l = v + 431. What are the prime factors of l?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61078417 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is -909 less than -14198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 11717567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -5.91416?\nAnswer: -19.91416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -219.7456 + 220. Let k = o - 0.26. What is k rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r - 16*r + 56*r to g + d*r and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -56 + (0 - -1) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 2623800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 14*p - 21. Let i be t(4). Let z(x) = x - 8. Let s be z(6). Let h be 0 + s - -1 - -4. Solve i*f + 6 + h = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*i**2*j*x + i**2*j + 150545394*i**2*x**3 + 3*i**2*x**2 + 2*i**2 - 157*i*x**2 - 2*i + j*x**3 wrt x?\nAnswer: 903272364*i**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(448) + -4)*1)**2 + (-4 + -1*sqrt(448) + sqrt(448) - sqrt(448) - (-2*(sqrt(448) + 4))**2).\nAnswer: -648*sqrt(7) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -65*n**4\/24 - n**3\/6 - 5*n**2. Is 32 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - b = 8, 3*b = -2*k + 2*b - 18. Let z be 15\/k*4\/(-2). Solve -2*n + 13 = z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3105 and -3210.5?\nAnswer: 105.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.245003 rounded to 3 dps?\nAnswer: 0.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12284 - -12282. Put g, -5, -1, 7, -3 in descending order.\nAnswer: 7, -1, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 17*y**2 + 17*y - 15. Determine a(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2. Let t(m) = -81*m + 134895. Determine t(y(p)).\nAnswer: -324*p**2 + 134895","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 203728? (a) 1\/3 (b) -2\/9 (c) -31 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/283 + -572\/849. Let w be -1 - (12\/(-10))\/3. Let o = -91 + 91.4. Which is the second smallest value? (a) o (b) -2 (c) w (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.41. Let j = 0.15 - 1.05. Let u = 1.3 + j. What is the third smallest value in -2, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-375)\/(-30) - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(63*u - 1 - 3 - 64*u).\nAnswer: 3*u + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4630\/3 + 64747\/42. Calculate the common denominator of (-2156)\/(-720) - 2\/(-10) and i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2 + 16. What is the least common multiple of j and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i - 52*i = -11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/((-2)\/(-1053)))\/(12\/(-24)). Let k = 3720 + m. Let v = k + -718. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -1\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46032 and 3780?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f27 - -60?\nAnswer: -4ec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 2 + 2 + (2 - 2 - 17*p**3)*(-1 + 1 - 2).\nAnswer: 35*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3449287806 + 3449287643.4084491. Let o = -73.591561 - r. Let l = 89 - o. Round l to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113784625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*h + 26, -64 - 6 = -5*q - 5*h. Let d(p) = 9*p + 18. List the prime factors of d(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.82 + -6.82. What is the fourth smallest value in -4, -0.6, a, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from kfkfffffffzfzzzz?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 18*n**2 - 53*n + 25. What is q(-11)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:20 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-19)\/(n*n**16)*(n*n**(2\/7)*n)**(-28))**31 assuming n is positive.\nAnswer: n**(-3100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 788910?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2743*u - 2739*u - 8 = 4*j, -4*j = -5*u + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3\/3 + 4*d**2 + 10*d + 15. Let u be f(-7). What is the first derivative of u - 5*j**2 - 1 + 11 + 2 wrt j?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:17 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*y + 3*w, y - 4*y = 5*w - 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9730.357kg to milligrams.\nAnswer: 9730357000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 660, 2415, 5338, 9429, 14688?\n\"Answer: 584*k**2 + 3*k + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91.1, -5, -0.2, -11\/7, 0.\nAnswer: -91.1, -5, -11\/7, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1*(3 + -2). Suppose -b*c = -0*c - 44. Let s = -12 + c. What is the smallest common multiple of 11 and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 96, 5, -1, 13483 in decreasing order.\nAnswer: 13483, 96, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*c**3 + 0)*(4 + 2*c**2 - 4) + 2*c**5 - 4*c + 4*c - 2*c - 2*c**5 + 2*c + (0*c**3 - 2*c**3 + 0*c**3)*(2*c**2 - 4 + 4).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 471818?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 292047 divided by -97349\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1137*4\nAnswer: -4548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151.4 - -139. Let i = c + 12.400000175. Round i to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-280)\/50)\/(6 + 121\/(-20)). Solve v*o - 115*o + 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -0.32195405.\nAnswer: -0.32195405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 11*s + 3*s - 420800 = 0. What is s rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3068 (base 13) to base 10.\nAnswer: 6677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-10 - 4) - -7) + (-1 - -8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -3*j**2\/2 - 21*j + 13. Let b be s(-5). Is (3 - (-22)\/b)*(-5649)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000547 rounded to six decimal places?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/28 in 1, 0.3, 0.11, 1806, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3522 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 + -13 - 553)*275\/(-10) a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38370 + 12798. What is the greatest common factor of s and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.802 at least as big as -345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/(8\/(-12))*(-135)\/81\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8684 + 67155\/8. Let y = o - -290. Let x = -2532 + 2517. Sort 0.3, x, y.\nAnswer: x, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/f**(5\/7))\/(f**(-13)\/(f*f*((f\/(f**(-1\/17)\/f))\/f)\/f*f)) assuming f is positive.\nAnswer: f**(2540\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83.28 - -83.28004043. What is r rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566104095?\nAnswer: 5, 313220819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567305 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14002446 + 0?\nAnswer: 14002446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from hffffkwffwwfwwfw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.31873842937 and 3.\nAnswer: 2.68126157063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 146 in 2\/5, 0, 18333?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + k + 3 = 0, 4*k = -k. Solve 2*u + 3 = -p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 7*r + 12*r)*(-2 + 0 - 3) + 4*r - 4 + 4.\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9393600?\nAnswer: 2, 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175765295?\nAnswer: 5, 17, 19, 43, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -2*v**2 + v - 11. Calculate w(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47759, 191080, 429939, 764336, 1194271, 1719744, 2340755?\nAnswer: 3057304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*n + 26, 0 = -m + n - 0*n - 2. Differentiate -m*d**2 - 2*d**2 - 2*d**2 + 9*d**2 - 3 with respect to d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 2*v**2 + v. Let x be r(-3). Find the second derivative of 9*c + x*c**3 - 20*c + 3*c wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12933 - -2534855\/196. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + q + 5*q - 35 + 12 in the form f + p*q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 1456123 - 861117 = 0. What is the thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41484 and 1722.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/3 - 48*g**2 + 352*g - 2048\/3 = 0. Calculate g.\nAnswer: 4, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17648*l**4 + 5015 wrt l?\nAnswer: 70592*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 548605781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 22 = z, 0 = 6*y - 8*y - 4. What is the units digit of (-4)\/z*-6 - 2028\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -0*o. What is the third smallest value in 1, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c883 (base 13) to base 10\nAnswer: -27823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1515403 (base 6) to base 5\nAnswer: -10304214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*g + 46 = 0, 4*p - g - g - 140 = 0. Calculate the greatest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463656814 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.527 times -3994?\nAnswer: 89972.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 505 + 736 = -726 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-26 - (-6 - (7 - 15))) + 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30\/53 (b) -1\/2 (c) -0.1 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/232180 and 71\/284544?\nAnswer: 66867840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)*a*a)**(-16)\/(a**2)**(-9\/2) assuming a is positive.\nAnswer: a**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -6229 + 403. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -26*f**2 + 1042*f - 9375. What is b(9)?\nAnswer: -2103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {c: 3, b: 2, h: 2, g: 6, o: 1, l: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 2\/17, -4, -0.6, 2475?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 - 42*v - 49. Is q(41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/1 + 5 + -14. What is the common denominator of (33\/(-9))\/(v\/91) and -27\/98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -0.1268876?\nAnswer: 5.1268876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5*1 + 5\/(-25). Suppose -8*h + 32 = -x*h. Suppose 10*g - 384 = h*g. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-36)\/23) - 1\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 20, 24, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13307057 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - z + 1. Let t(d) = -41*d**2 - 6*d - 8. Let a(u) = -4*n(u) + t(u). What is the derivative of a(k) wrt k?\nAnswer: -90*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-424*x**2 + 15911*x**2 + 7487*x**2)*(-2*x**2 + 0*x**2 + 4*x**2) to the form k*x**2 + j + v*x**3 + a*x + t*x**4 and give t.\nAnswer: 45948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*10\/10)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from bhhbwp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 29*z + 11. Let l(g) = -g**2 + 14*g - 5. Let k(h) = 4*b(h) + 9*l(h). Let y be k(7). Calculate the highest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 - 60*v**3 + 384*v**2 - 768*v = 0. What is v?\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 73 = -2*a, -2*a - 3*u + 35 + 28 = 0. Let x(k) = 5*k**2 - 7*k + 126. Let d be x(6). Calculate the greatest common divisor of d and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(3 + 1 - 5 + (3 + 2 - 4)*(-2 - 4 + 5) + 2 - 4 + 3)*(-1 + 5 - 2)*(15*n**2 + 29*n**2 + 0*n**2) to the form s*n + k + q*n**2 and give q.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26476278 bigger than 26476280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*i - 1262 = -17564 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(-136))\/((-18)\/32)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from auuuquaa?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 at most 201727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 424288676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/135 and 173\/150?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) -4 (c) -5\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 4*v = -9*d - 6238, -3*v - 12531 = -4*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*r - 1984*r - 165471 = 48435 for r.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 12. Let p be q(4). Let i be -2*(-1 + p\/(-5)). What is the smallest value in -2, i, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**2 + 927155592*q - 53726093236054404 = 0.\nAnswer: 115894449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 52 = 0. Suppose 4142 = j*i - 1721. What are the prime factors of i?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125800221077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/19 + 441810*b**3\/19 - 32532679350*b**2\/19 + 798514614645750*b\/19 = 0.\nAnswer: 0, 73635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1385, -1402, -1445, -1526, -1657, -1850, -2117, -2470?\nAnswer: -2921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.909, 79, 1\/2?\nAnswer: -0.909","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -16. Suppose 0 = l - 10 + 13. Let q be (-6 - 2)\/(l - -1). Solve m*b + 4 = 4*r - 3, b = -r + q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) + 94\/(-162)*-9. Solve 0 = d - 4*i + 5, -a*d - i = 3*i + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.77 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/52)\/((-42)\/(-168)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 14, -18, -112, 3 in decreasing order.\nAnswer: 14, 11, 3, -18, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -8, -5 in descending order.\nAnswer: 5, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-121851807)\/231 - 6\/2. Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63033.\nAnswer: 3, 21011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27965.\nAnswer: 5, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 91802.\nAnswer: 91802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*n - 64*n + 8*n**3 + 32*n as c*n + a + i*n**3 + o*n**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11 = -9. Find the third derivative of -2*y**5 - y**5 + 0*y**j + y**2 + y**5 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 2*a**2 + 6*a + 8. Let r be m(-4). Let h be 1*30*r\/40. Is (-2514)\/3*(-6)\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*w - 41, w + 0*w = -3. Let m = b + 32. Calculate the smallest common multiple of 10*12\/(-30)*-5 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 76. Let g(q) = -2*q**2 - d*q + 5*q**2 + 66*q. Let p(z) = 7*z. Give p(g(n)).\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -319 - 17. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 62 (b) 0.2 (c) -0.4 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f - 41*f - 10 = 0. Sort f, -6, 11 in increasing order.\nAnswer: -6, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1004?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274334422*m**2 + 27817*m - 8230.\nAnswer: 548668844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -376, 508, 4 in ascending order.\nAnswer: -376, 4, 6, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -23 - 67. Let w(v) = -v**3 + 4*v**2 + 8*v + 5. Determine w(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 4*t - 1. Suppose -4*z = 4*k + 12, 3*k + 19 = -k + 3*z. Let w be s(k). Let r = -13 + 8. Is r at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q. Let i(r) = 147784*r**2 + 4*r + 2. Determine i(p(h)).\nAnswer: 5320224*h**2 - 24*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 8. Let h be y(0). Let t be ((-2)\/h)\/(4\/48). Suppose t*c - 4 = 8, -5*o + 4*c = 6. Solve -6*v + o*v = 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37638 and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0928 + 1.9072. Let v = -0.1 + 0.2. Let k = 1.3 - 1. What is the nearest to v in k, z, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -4*(sqrt(128)*1 - sqrt(128)) - (sqrt(128) + 2*sqrt(128)*-6))\/(sqrt(256)*-1*6 + sqrt(256)) + 5)**2.\nAnswer: -12*sqrt(2) + 697\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20741662 and 0.318?\nAnswer: 20741662.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1816*p - 8131 - 32219 = 1841*p. Which is bigger: -1612 or p?\nAnswer: -1612","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 5*n**2 - 1431*n + 8698. Determine c(6).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*y + 44 = 0, 0*y - 90 = -5*q + 5*y. Let c = -19 + q. Put 0, c, 5 in decreasing order.\nAnswer: 5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3950*i - 7. Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**2 + 5*n - 47. Let z be a(7). Let c = z + -245. Let t = -1435\/8 - -179. What is the common denominator of t and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*v = -3*k - 17, -3*k - 9 = -v. What is the third smallest value in -0.2, 6, k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150623202 by -6.\nAnswer: 25103867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(1827\/(-6))*3. Let q = 73\/203 - n. What is the third biggest value in -1, 5, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**7\/70 - 17*n**5\/60 + 17*n**2. What is the third derivative of c(a) wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2016 = -4*o - 4*s, 2*s - 2020 = -4*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000563 rounded to 5 dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = -8. Let p be m\/5 + 6\/10. Suppose 3*w - 4*d - p = 0, 4*w - 3 = -0*d + 5*d. What is the remainder when 20 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -64*m**3\/3 - 21*m**2\/2 - 8*m. Is o(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -1 - 2. Let k(o) = -o. Let z be k(c). Suppose g = -z*l - 0*g + 91, 0 = 2*l - 2*g - 66. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1957.1?\nAnswer: -195.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 34421?\nAnswer: 34423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 17, p: 3}. Give prob of sequence lpp.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3081\/29587 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -532000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5447723 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 834*j**4 - 12708*j**3 - 2126728*j**2 + 8632560*j - 8669952 = 0 for j.\nAnswer: -426, -48, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 1. Let y(i) = 2*i - 5. Let q = 6 - 11. Let x = q + 6. Let w(f) = x*y(f) - d(f). Find the first derivative of w(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96910 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 4)\/((189\/180)\/21)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -417 + 3803\/9. Factor 56\/9*s + 140\/9*s**3 - 8\/9 - 46\/3*s**2 - t*s**4.\nAnswer: -2*(s - 1)**2*(5*s - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926962 <= 926974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 622, 623, 624?\n\"Answer: j + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-64)\/(-8) - 6). Suppose o = 2*v - 22167 + 4169. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 204, 460, 818?\nAnswer: 1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - (-41 - (-72 - -41)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 413764?\nAnswer: 413764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 161680 to the nearest one thousand.\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 53 = 17. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.12 - -68.12. Put -0.3, -5, -3\/5, x, 17 in decreasing order.\nAnswer: 17, x, -0.3, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40653601 != 40653601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**5 + 3*j**3 - 3*j**3 + (-14*j**3 + 4*j**3 + 5*j**3)*(33*j**2 + 15*j**2 + 17*j**2).\nAnswer: -320*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 140 = 2*r - 90 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2677, 5353, 8029, 10705, 13381, 16057?\n\"Answer: 2676*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {v: 2, e: 2, l: 4, a: 2, c: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/671, -1.4, 1, -5, 3\/4, 0 in descending order.\nAnswer: 1, 3\/4, 0, -2\/671, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1976961, 1976959, 1976957?\nAnswer: 1976955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2621*g + 23632. Give c(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -0.5, 5\/3, -8, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 5*n**2 + 6*n + 7. Suppose 0*h = 5*h - 25. Let z be k(h). Suppose -3*a - x = -74, 0 = 2*a - 5*x - z - 1. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-279)\/(-31)*(110\/1020)\/11.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 0*c**2 - 4*c**2 + 2*c**2 + 2. What is a(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 17*h + 4. Give g(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 377459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1027 - 1027 + 75*f)*(3 + 1 - 6) + 37*f + 3 - 78*f + 46*f to the form d*f + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**3 - 15*b**2 + 6*b + 12. Let l(a) = a**3 + a**2 - a - 1. Let m(x) = c(x) + 6*l(x). Let t be m(-9). Let g = 10 - t. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*f*i + f*j**3 + 3*f*j**2 - 2*i*j + i + j with respect to j.\nAnswer: 3*f*j**2 + 6*f*j - 2*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -172, 3, 46, 2, -3 in decreasing order.\nAnswer: 46, 3, 2, -3, -5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1159, -4, 39 in decreasing order.\nAnswer: 1159, 39, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 193889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -443, -401, -265, -35, 289, 707, 1219?\n\"Answer: 47*n**2 - 99*n - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/5, -33869 in decreasing order.\nAnswer: 5, 3\/5, -33869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n + 5*n)*(-n - n - 2*n).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-18))\/(120\/96)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64192147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-276)\/(-35) - 0) + 2\/(-7). Is 9 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413344 (base 5) to base 7\nAnswer: -54435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m**3 - m**2 - 9*m - 10. Let q(z) = z**3 - z**2 - z - 1. Let s(j) = h(j) + 5*q(j). Is s(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*k + 13 = 3*k, k = -l + 6. Let c = -10 + l. Calculate the common denominator of c and (1\/(-2))\/((-3)\/(-195)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4. Suppose -14*b = -331 - 747. Let f(c) = -39*c**2 + b*c**2 - 39*c**2 + 1. Let j be (-1*(-4)\/(-4))\/1. Calculate j*r(u) - 4*f(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i - 9*i + 30*i - 6 + 10*i + 41*i.\nAnswer: 103*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/149 - -117\/2384. Find the common denominator of i and -63\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 268*m - 263*m - 2 - 7*m**2 to r + b*m**2 + c*m and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 - 1. Which is the nearest to -5? (a) m (b) 1\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 22. Suppose -2*w + 22 = -8. Let d = 18 - w. Solve n*l = d*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 8*y**5 + 9 + (-y**3 + 2*y**3 - 3*y**3)*(-y**2 + 3*y**2 - 3*y**2) + 3*y**5 - 3*y**5 + 2*y**5.\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*v - 307 - 236, 4*v + 548 = 4*t. Let m = v - -140. Solve -2*s - 4*n = m, -s + 4*n - 2*n - 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10569, -21019, -31495, -42009, -52573?\nAnswer: -63199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2099565.3 months in millennia?\nAnswer: 174.963775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*p = 3*t + 7454, 3*p = 4*t + 9933. Is t\/(-21) - (-10)\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129322015 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-78*53\/1272*(-4)\/26).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 15 = v, 2223*l + 4*v = 2226*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 3:31 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 7 - (2 + 0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-14 - -19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87361754897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 714 and 58701?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289409700 rounded to the nearest 1000000?\nAnswer: 289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9614.647 rounded to the nearest one hundred?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1068?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1385 - -1391 - (3 + -1 + 1)) + (-49 - -4).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((3 - 4) + -17 + 15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 z(i) = -i - 10. Let u be (32\/5)\/((-5)\/(-4 + -21)). Suppose -13*o - u = -9*o. Let r be z(o). Sort r, 1, 11 in increasing order.\nAnswer: r, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6664751062?\nAnswer: 2, 10093, 330167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4675621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 4*m + 6*m + 3 - 2*m - 3 + 3*m - 2*m + m - 5*m + 3*m + m + (0 - 1 + 3)*(0*m - m + 0*m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -29*w - 46640. Let f = w + 3532. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 3:47 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-8640)*-1020*((-96)\/(-51))\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(0 + sqrt(102)\/(sqrt(36)\/(-1*sqrt(6)))))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 247268?\nAnswer: -45\/247268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-9) - 2\/3. Solve -5*r = 0, f*p - r - 2 = 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c + 1. Suppose 4*i - 4 = c*p - 10, 5 = -2*i + 3*p. Put 2\/13, i, 3\/5 in ascending order.\nAnswer: i, 2\/13, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2164*d**2 - 1077*d**2 - 1078*d**2 + 2.\nAnswer: 9*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 24627?\nAnswer: 837318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuukuuukuukkuuu. What is prob of sequence kuu?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3159 + 3161. Solve 3*k - 5*a + 16 = 0, 0*k + k + d*a - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 23 = -2*r - 8*q, -5*r - 5*q - 50 = 0. Let d be 12\/(7\/((-42)\/r)). Calculate the highest common divisor of d and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369272 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-14)\/(-13) + -1). Suppose -3 - 17 = -4*i, 2*b = -3*i - 77. Let n = k - b. Solve 3*c + n = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6537.\nAnswer: 3, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26143 and 18099?\nAnswer: 235287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*m + 2*k, 10*k + 10 = m + 8*k. Suppose -9*h = -m*h + 3*n - 615, -4*n + 492 = 4*h. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -161451, -645127, -1451031, -2579163?\n\"Answer: -161114*g**2 - 334*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2*s**2 - 2*s**2)*(0 + 2*s + 0) + 0*s**2 + 0*s**2 - 3*s**3 + 2 - 2 + 2*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -27*l**2 + 2726*l + 103. Let i be x(101). Factor -14\/3*h**3 + 112\/3*h + 1\/3*h**4 + 11*h**i + 64\/3.\nAnswer: (h - 8)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/4 - x**3 + 7*x**2\/2 - 2*x + 85. Let s(j) = -4*j + 3. Let l = -2 + 4. Let g be s(l). Determine d(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 0*d**5 + d**5 + (4*d - 5*d + 3*d)*(-7*d**4 + 3*d**4 + 2*d**4) + 3*d**5 - d**5 + 0*d**5 + 2*d**5 + 0*d**5 + d**5 + 0*d**5 - 9*d**5 + 8*d**5.\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47153107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10*o - 16. What is v(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose -2*f + 2*n = -n - 7, h*n + 23 = 4*f. Suppose -f*d + 60 = -4*d. What is the remainder when 44 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313 - 331.1. Let x = -0.134 + 18.134. Let q = x + i. Which is the nearest to -0.1? (a) -3\/4 (b) q (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92\/1667 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/6 + 56*g**5\/45 - 10*g**4\/9 - 32*g**3\/9 + 727*g**2. Suppose k(r) = 0. Calculate r.\nAnswer: -4, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2100)\/(-560)*1\/(-5)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63966101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 26 = -d - d, 0 = -3*f - d + 59. Suppose -f*j + 1717 = -2495. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 40. Let s be v(40). Solve -2*r - r = -5*y + 5, s = 5*r + y + 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) - -6*((sqrt(288)*-1 - sqrt(288)) + sqrt(288))) - sqrt(288))\/(5*(2*sqrt(864) + sqrt(864) - sqrt(864))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r. Suppose 0 = -h - r*h + 49. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(12*q + 33 - 33) + q + 0*q + q.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 443058330 rounded to the nearest 1000000?\nAnswer: 443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42501661 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = -4, 4*y - 13 = -5*m. Let c be (-1*1)\/((-3)\/33). Suppose -p + 31 = 5*h, h - 2*h + p + c = 0. Calculate the least common multiple of m and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + -2686?\nAnswer: -26b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = f - 10, 4*f - 40 = 60*q - 55*q for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6. Let a(g) = 5 + g**3 + 5*g**2 + 0*g**2 + n*g**2 - 8*g. Let j be a(-6). Solve -j = 3*c + o, 4*o - o + 11 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 1. Let x(w) = w**3 - w**2 - 2*w + 1. Let p be x(1). Let v(k) = -k**2 + k + 16. Calculate the remainder when v(0) is divided by d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 2\/(-3))*-9. Let g be k\/(-5)*(-5)\/2. Solve -3*x = -5*l - 25, 3*l = -2*x + l + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/78 + 629*k**4\/156 + 42*k**3\/13 + 9*k**2 + 85. Factor g(c).\nAnswer: -2*(c - 126)*(5*c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936 and 5346.\nAnswer: 277992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 12116 = -1532. Let b = 1400 - o. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350145807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s - 2*s)*(-60049 + 77*s + 60049).\nAnswer: -154*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 227*r**6\/120 + 211*r**4\/8 - r**2 - 2*r. What is the second derivative of i(u) wrt u?\nAnswer: 1362*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3295736.875 - -21.5?\nAnswer: -3295715.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -163. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332353959?\nAnswer: 3, 7, 15826379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 819817864 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7519*m + 7. Let u be g(-3). Let f = -169419 - -92069. Let x = u - f. What is x rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 + -9 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8980 divided by 1796?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 311 + -302. Let m be 30\/((2\/3)\/(-1)). Let u be m\/(-6)*6\/q. Solve -4*p + 23 = -5*t, 2*t - 9 = u*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456 (base 14) to base 3\nAnswer: -1011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 16. Determine c(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let l(p) be the second derivative of -p**5\/30 - 2*p**2 - 2*p. Let n(y) be the first derivative of l(y). Give n(z(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(7*s + 0*s - s) - 4*s + 3*s + 3*s + (2 - 2*s - 2)*(1 + 5 - 5) + (1 + 1 + 0)*(-12*s + 8*s + 2*s).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:07 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 + 2383\/15. Let q = -3\/82 - 137\/738. Which is the nearest to q? (a) 3 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((10\/(-45))\/(24\/72))\/(4\/(-52218))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/(1\/(-50)). Find the common denominator of 258\/(-20) - (-3)\/3 and -1*i\/(-44) + 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:44 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3272 + -2953. Is o at least 953\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/745 and 45\/7.\nAnswer: 5215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + -1 + -8 - 2. Sort n, 47, -1 in decreasing order.\nAnswer: 47, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 8 in descending order.\nAnswer: 8, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 49, 0.3, -1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120232113 (base 4) in base 9?\nAnswer: 163823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 123582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -3*p**4\/4 - 9*p**3 - 36*p**2 - 48*p + 127. Factor w(q).\nAnswer: -3*(q + 1)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 147, 257, 401, 579, 791?\n\"Answer: 17*w**2 + 25*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8 + (-40)\/(-288).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5552682 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2. Let a(u) be the first derivative of -14*u**3\/3 - 15. Give a(k(l)).\nAnswer: -224*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85590885 is divided by 128.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + k**2 - 1. Let l(n) = -5*n**3 - 5*n**2 - n + 7. Let x(d) = 4*a(d) + l(d). List the prime factors of x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 <= 413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*36\/(-18)*54\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.5 - 7. Let l = -0.5 - t. Sort 1\/10, l, 0 in decreasing order.\nAnswer: l, 1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 - 91. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 78*z + 485*z + 434*z + 6*z)*(z - 2 + 2) to the form t*z + p + d*z**2 and give d.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -223*u + 3935. What is the remainder when 214 is divided by c(17)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 75 = 3. Let u = f + 36. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0433 - 5.9567. Let z = 0.5 - 0.1. Suppose 12 = 5*y - 13, -5*y + 24 = j. What is the second biggest value in r, 0, j, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*((-119)\/119)\/((-12)\/(-3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - 1 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 587886\/(-440) + 6\/(-4). Let t = 14778\/11 + h. Let d = 14\/247 + 9027\/1976. What is the common denominator of t and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkq. Give prob of sequence vq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23188616?\nAnswer: 2, 11, 41, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31273 is divided by 15636.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 6 + 6*j**3 - 3*j**2 + j**2 - j**2. Let s = -236 - -237. Let f(b) = b**3 - b**2 - 1. Give s*o(z) - 5*f(z).\nAnswer: z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 68.8 * -39138\nAnswer: -2692694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 2*q + 1. Let h(f) = 7*f**2 - 28*f - 5. Let d(v) = h(v) - 6*s(v). Let o = -11 + 28. What is the units digit of d(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.1. Let n = -70 - -63.4. Let g = -2.6 - n. What is the biggest value in g, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 34, -634 in descending order.\nAnswer: 34, -4, -634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -967, -1920, -2873, -3826, -4779, -5732?\nAnswer: -6685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19635 - 19606. Solve 51*z = -n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 887329?\nAnswer: -60\/887329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528868813?\nAnswer: 11, 48078983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 1542 - 3813. Let p = -440 - a. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 102\/(-156) + 4\/26. What is the nearest to 0.2 in -1, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.1. Let j be -3 - (-6)\/9*6. What is the nearest to j in s, -1, 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.8. Let v be (0 + -4)\/(-12) + 7\/(-3). Let h be ((-3)\/(-2) + v)*(-4)\/6. Which is the closest to h? (a) 0.4 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/16*2*(-2 - 0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7104 less than or equal to 2.218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 5*c + 3*c)*(10 - 6 - 11)*(-2*c + c + 3*c)*(2 - 2 + c).\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 1. Let n(t) = 5*t - 2. Determine 7*h(v) + 3*n(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 24*j + 187 - 30 = 7 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**10\/(h**8\/(h**11*h)))**(-18\/7) assuming h is positive.\nAnswer: h**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*h**3 - 510 + 510.\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - -1.1. Let u = 4 + -9. Let s = -4 - -3. What is the closest to s in n, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308828 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185676.4382 rounded to the nearest one hundred?\nAnswer: 185700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5658*b - 40237 - 16343 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.411195um?\nAnswer: 0.002411195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x)**(-1\/23))**15 assuming x is positive.\nAnswer: x**(-5\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6672, 1, -4, 37 in decreasing order.\nAnswer: 37, 5, 1, -4, -6672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 362000 = -7*d + 9*d, 4*d - 2*t + 724000 = 0. Round d to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:56 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4415 + -4386. Solve -x = 5*b - 4*k, -4*k + 14 = -2*b - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {m: 6, i: 4, t: 3, a: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-311 - -303) + (-3 - -24) - (0 + -71)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-534)\/801)\/((-2587)\/7605 + 2\/5)?\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*o + 10*o + 2415. Suppose 21*l**4 - 32 - 48*l - 132*l**3 + 69*l**2 + 7*l**4 + o*l**2 = 0. What is l?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/1293 and -47\/31894?\nAnswer: 95682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*78\/(-11)*1386*90\/(-11340).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -18*u**3 - 13*u**2 + 48*u. Give a(2).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 358575321 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 2 n when four letters picked without replacement from {p: 6, z: 1, n: 5, l: 3, a: 1, k: 4}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (12 - 20)) + (2 - 3 - -10)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 5*d = -5*c + 38, 2*d - 38 = -2*c. Suppose -61 = -2*m - d. What is the greatest common divisor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3644*s + 7296*s - 4 + 4 - 3651*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 3*g)*((0 - 3 + 0)*(-3*g - 4*g + 6*g) - g + 0*g - g)*(-2*g + 1 - 1).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - 1 = -39 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 78. Let p(r) = r**2 - 2*r + 4. Let y be p(7). What is the greatest common divisor of v and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224534.9505 rounded to the nearest 10?\nAnswer: 224530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -31. Let o(g) = g**2 + 4*g - 2. Let v be o(b). Suppose 4*m + v + 20 = k, 195 = 5*k + 4*m. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + -99. Let b = -110 - w. Solve 0 = b*d - 2 + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26915764 divided by 16\nAnswer: -6728941\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161396 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1372 and -19\/7154.\nAnswer: 100156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n + 818 = 24*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3) + -3 + -4.\nAnswer: -7 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - 2*i + 0*i)*(-15 + 6 + 21)*(3*i**2 - i**2 - 4*i**2) to the form q*i**2 + h*i**3 + x*i + j and give h.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.07, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v - 27. Suppose 3*p = 17 + 22. Does 17 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 8. Let d be (8 + -8)\/(1*v). Suppose 4*q + 2 = 3*n, 4*n - n + 6 = d. What is the smallest value in q, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - m**2 + 9*m + 16. Let n be h(-2). Solve 4*x = n*w, -w - x + 10 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1496 = 2*n, n = 3*r + 430 + 318. Suppose n = 25*h - 14*h. What is the highest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1189777812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25394669451.99998 - -25393708970. Let l = 960472 + w. Let f = 10 + l. What is f rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*g - 225*g - 1806 = 313*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 17*v - d = -37, 3*v + 5*d = -51 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/64)\/(6\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6630 and 315510.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 21. Let o be s(-12). What is the closest to -2 in o, -0.4, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.9 + 40.74. What is v rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80\/23*t + 64\/23 - 2\/23*t**4 - 4\/23*t**3 + 24\/23*t**2 = 0. What is t?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -f + 97, 5*q + 97 = -3*f + 4*f. Let o = 139 - f. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-3)\/5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4327, 8655, 12997, 17359, 21747?\nAnswer: 26167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*p - 35*p - 18*p + 70*p.\nAnswer: 322*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*m - 0*m. Let u(o) = o**3 - 5*o**2 + 4*o + 3. Let k(j) = -j + 4. Let r be k(0). Let b be u(r). Sort -2, m, b in descending order.\nAnswer: m, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 667*h. Let o(w) = 2*w**2. Calculate o(v(m)).\nAnswer: 889778*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + (-1 + -2 + (-2*sqrt(243) - sqrt(243)) + sqrt(243))*-6)*4.\nAnswer: 96 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2963, 3836, 475, -9238, -27421, -56192?\n\"Answer: -353*t**3 + t**2 + 3341*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3acc (base 13) to base 9\nAnswer: 12527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (2 - 3)) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26102*-837.\nAnswer: -218.47374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 83*h - 27. Suppose u + 3*x = -x + 7, 2 = 2*x. What are the prime factors of s(u)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/596 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 0)*-2.\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2813.71 and 18601225.31.\nAnswer: 18598411.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22 and -0.21749.\nAnswer: -22.21749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g = -338*g - 2763 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50949 is divided by 16981.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -257833, -1031328, -2320485, -4125304, -6445785, -9281928, -12633733?\n\"Answer: -257831*z**2 - 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16901*w + 262736 = -1123146 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990905 to the power of 1\/2, to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let t be 2\/d + (-16)\/(-12). Suppose 0*h - t = -2*h. Put 5, h, 3 in descending order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(63\/(-14)))\/((56\/636)\/(-7)). Let t(h) = -h**2 - 2*h - 2. Let v be t(6). Let q = v + u. Solve -q*g - 19 = -4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9678\/3226)\/((-4)\/3)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/5, 2.5297, 1\/3, 0, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17289 - -34132. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -3*d - 26. Suppose d = a - 22. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24264 and 579176288?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13498, 26925, 40352, 53779, 67206, 80633?\n\"Answer: 13427*a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 15?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*h + 15 = -156*h. Put -7, h, 1 in ascending order.\nAnswer: -7, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/195 + (-868)\/91 + 10. Factor 1\/6*r**3 + z*r + 0 - 1\/2*r**2.\nAnswer: r*(r - 2)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/27)\/((-8)\/6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12394 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 4*s**2 - s + 3. Let n be d(3). Let c = n - 15. Is 2 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5018.\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o**5 + 0*o + 0 + 0*o**4 - 17\/15*o**6 - 59*o**2 + 83\/6*o**3. Differentiate z(i) wrt i.\nAnswer: -408*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/11 - 334*b**3\/11 + 4740*b**2\/11 + 10800*b\/11 = 0.\nAnswer: -180, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:35 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w*w)\/(w*w**(3\/14)*w*w) assuming w is positive.\nAnswer: w**(-163\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -7\/2*k**4 + 15*k - 1\/2*k**2 - 15*k**3 + 4 = 0. What is k?\nAnswer: -4, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84270 is divided by 704.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*g + 3, 4*a + 0*a + 3*g - 1 = 0. What is the remainder when 2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2800, -2783, -2762, -2737, -2708, -2675, -2638?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 1 f when three letters picked without replacement from utfuxpuutuuxxtxu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-225)\/(-6))*180\/1152*8.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20020611 (base 8) to base 2.\nAnswer: -10000000010000110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150612 is divided by 50192?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/35)\/(40\/(-56)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 2*o**7\/105 - 19*o**4\/24 - 5*o**3\/2 + 61*o. Let g(v) be the second derivative of z(v). Differentiate g(w) with respect to w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262666 (base 9) in base 13?\nAnswer: 5777a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/8)\/u)\/(u*u**(-1)\/u))**(-5)\/(u**(-1\/9)*u\/u**(2\/3)*u*u**(-1\/6)\/u*u**(-6)) assuming u is positive.\nAnswer: u**(203\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 0.03, -6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/16 + (-2961)\/(-72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20919\/1*((-448)\/(-48) - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let i(f) be the first derivative of -7*f**2 - 3. Calculate i(l(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*u - 19. Let t be 4\/u + 170\/50. Find the third derivative of 6*v**2 - 8*v**2 + 4 - 4 - 6*v**t wrt v.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(77) - (sqrt(77) - sqrt(77)*-2)*6)\/(((sqrt(49) + sqrt(147)\/sqrt(3))*-5 - sqrt(49))\/sqrt(7)).\nAnswer: 8*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, 0.12, 0.2, 16?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-1)*n)\/n)\/n)\/n*n*n**(2\/11)*n**5\/(n**(-1)*n*n))**34 assuming n is positive.\nAnswer: n**(816\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 736 - 735.8. What is the closest to x in 0, 4, 3, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 3.2\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + 8*q**2 + 8*q**2 as a + l*q**2 + b*q and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/29678788 or 0?\nAnswer: -27\/29678788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 77.13 times 2\nAnswer: 154.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -397 - -398. Let i(x) = x**3 - x**2. Let z(a) = -10*a**3 + 3*a**2. Give v*z(s) + 3*i(s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 20, -93?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -107?\nAnswer: eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*d + 6*g - 2*g, 5*d + 17 = 4*g. Let p be d\/(-5)*(15 - 14). Find f, given that -1\/5*f**4 + 0 - p*f**2 + 2\/5*f**3 + 0*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -83, -117, -155, -197, -243, -293?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(0 + sqrt(25)\/(sqrt(5) + -2*sqrt(45))))**2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -33c?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 1 - 3*v**2 - 8*v**2 - 7*v**2.\nAnswer: -24*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32506.7 + 31084. Let d = q + 1484. What is d rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 1)*(2*j + 3*j - 3*j) + (2*j - 3*j + 3*j)*(-1 + 5 - 2) + 2 - 2 + 2*j + (1347 + 206*j - 1347)*(2 - 1 - 3).\nAnswer: -390*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*w - 240*w**3 + 478*w**3 - 100*w - 243*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t - 17. Let l be r(-7). Solve 9*s = l*s - 10, -5*s - 30 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521255997 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/27 and 53\/58131.\nAnswer: 58131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 9794.\nAnswer: 1\/9794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*g**3 + 41*g**3 + 234*g**3 + (36*g**2 + 12*g - 12*g)*(3*g - 2*g - 3*g)*(1 + 2 - 1).\nAnswer: 162*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 2*f**2 - 2*f + 4. Suppose -4*y + 17 = -39. Let l be (-4)\/y - 1149\/21. Let o = 58 + l. What is d(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -699*m. Let w(g) = -5*g + 26. Calculate w(x(n)).\nAnswer: 3495*n + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32589.\nAnswer: 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:05 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)*u*u**(-7)\/u)\/(u\/u**(-4\/3)*u\/(u*u**4)) assuming u is positive.\nAnswer: u**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119 - -42037978.09?\nAnswer: 42037978.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(315\/(-20)). Let d = 310 - 309. Which is greater: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + -0.8. Suppose 0 = 2*f - 5*q - 67, 11 = 2*f - q - 36. Let l be ((-15)\/(-25))\/(f\/(-6) - -2). What is the smallest value in a, l, 2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Let t = h + 1. Let p = 8 - t. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/4 + (-1)\/2. Let u be 2 - 4\/(-42)*-22. Let g = 5 - 4. What is the smallest value in u, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1003 divide 701955871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0, -3.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 193256 = -29*k. What is the greatest common factor of 136 and k?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184423 = -5*g - 4*a, -2*a + 110658 = 3*g - a. List the prime factors of g.\nAnswer: 36887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + 15. Solve -r*a = f - 4*f - 10, a = 3*f + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 397159 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, o: 1, a: 2, n: 4}. Give prob of picking 2 a and 1 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + r**2 + 0*r**2 + (-r + 5 - 5)*(-2*r - 2*r + 5*r) - 2*r**2 + 90 - 79 - 2*r + 0*r**2 in the form z + f*r + o*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18483, 32607, 56147, 89103, 131475, 183263?\nAnswer: 244467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 45 - (17 + -13)) + -7?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.007 + 0.017. Which is bigger: y or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12 = -3*g - 42, -2*g + 2*o - 20 = 0. Is -13 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 57 = 5*g. Let n(m) = -m**3 + 11*m**2 + 78*m + 9. Let j be n(16). Let a(h) = -h**2 - 20*h + 122. Calculate the remainder when a(j) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640 is divided by 527?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 1:21 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 + 302*i**4 - 2*i**3 - 328*i**2 - 301*i wrt i?\nAnswer: -60*i**2 + 7248*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4 = 5*n + 11, n + 3 = 3*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 7 - (5 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*c**2*v - 619*c**2 + 2*c*v + 27832913*v - 4 wrt c?\nAnswer: -94*c*v - 1238*c + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 1, h: 3, s: 4, c: 2, m: 4}. Give prob of picking 1 h, 1 c, 1 s, and 1 m.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6259320 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b - -106?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102013112 (base 4) to base 13.\nAnswer: -27a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/((u**(-6\/11)\/u*u)\/u))**(-23)\/(((u**(1\/6)*u)\/u**7)\/((u\/((u*u*u*u**0*u*u)\/u*u)*u)\/u)**(3\/20)) assuming u is positive.\nAnswer: u**(27947\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*o*t**2*w**3 - 3*o*t + 2*o + 32*t**3*w**2 - 63*t**3 - t wrt w?\nAnswer: 66*o*t**2*w**2 + 64*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4338567\/80 + -434915\/8. Let p = m - -663\/5. What is the common denominator of 17\/18 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11417\/29 - 13748\/29. Is b greater than or equal to -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45560 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2. Let h(s) = -1225*s**2. Give b(h(w)).\nAnswer: 3001250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 410 - 3*p - p.\nAnswer: -2*p - 410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:54 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:47 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3476, 1, 2, 63, -4, 11 in decreasing order.\nAnswer: 63, 11, 4, 2, 1, -4, -3476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20357 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-20) + 2\/10. Let v be (-12)\/(-9)*(-3)\/2. Put 5, v, y in decreasing order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1 - 0)*-2)\/(-1). Let u = 350 + -240. Let o = 111 - u. Sort c, o, -5 in increasing order.\nAnswer: -5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11*h + 401. Let d be n(-36). Solve 5*x + 0*x + d*s = 0, -4*s = x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*j + 44, 0*j + 3*j = 2*f - 26. Let d = j + 51\/5. Factor 0*x**2 + 2\/5*x**3 + 1\/5*x**4 - d - 2\/5*x.\nAnswer: (x - 1)*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76338868 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = 26. Let b(q) = 5*q**3 - q**2 - q + 1. Let h be b(1). Suppose 8 = -2*v - h*k + 30, k - l = -3*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2256, 4718, 7188, 9672, 12176?\nAnswer: 14706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-4 - (-2 + 3)). Suppose 4 = z + f*r - 2, 4*z = -3*r + 51. Let p(s) = s**3 + 2*s**2 + 4*s + 53. Let x be p(-4). Solve 4*d = -x - z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 26*k + 65. What are the prime factors of p(38)?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*a + 5. Let k(l) = -3 + 5 + 2*l + 0 - a*l**2. Let t(b) be the second derivative of b**4\/12 - b**3\/3 - b**2 + b. Calculate -2*k(i) - 3*t(i).\nAnswer: i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 + 54 = 61*h - 338. Which is the closest to h? (a) -3\/4 (b) 0.3 (c) -0.1 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(363) - sqrt(363)*-2)**2.\nAnswer: 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -30847*w + 30795*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Let x(i) = 1 - k + i. Let z(s) = -80*s**2 + 40*s - 8. Let h(q) = -69*q**2 + 35*q - 7. Let w(v) = 8*h(v) - 7*z(v). What is x(w(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6149 in 2\/7, -1\/3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 2)*(-3 - 3 + 4)*(-560*a + 269*a + 256*a).\nAnswer: 420*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1664\/2080*(-185)\/8177*(-2)\/4?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25088271 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -454136224144.\nAnswer: -454136224149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*w + 4, 3*w - 4*i + 2*i = 6. Let q = 0 + w. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/4 + f**3 - 3*f**2 - f + 135. Calculate z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2606461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430358630?\nAnswer: 2, 5, 13, 3310451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from ttgtctwwt?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -321, -419, -443, -369, -173?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 10*q**2 - 440*q + 249. Calculate l(-17).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831.\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 1\/53 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12946, 51810, 116572, 207220, 323742, 466126?\n\"Answer: -2*g**3 + 12961*g**2 - 5*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/12)\/(55\/(-132)). Which is the closest to 4\/3? (a) 3 (b) -2\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 50*g - 36. Suppose 6*q - 2*s + 92 = 10*q, 5*s = -10. Let n be o(q). Which is smaller: -83 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222, -483, -742, -999, -1254, -1507, -1758?\nAnswer: -2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 5*j. Let v be q(-4). Let l be (v\/(-5))\/(10\/(-25)). Let w(d) = 2*d + 4 + 0*d**2 - d**3 - 4*d**l + 0*d**3. Calculate w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6540 divided by -6?\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/12)\/(10\/(-75)). Is 2 - 165\/(25\/r) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*z - 0*z + 8, -i + 2 = -5*z. Let u = 79903\/10 - 7982. What is the common denominator of i + -2 + 3 - 53\/5 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:41 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -356 - -2490\/7. Let r = 0.3 - 0.3. What is the closest to o in 0.1, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 + 53*u - 39. Let c(r) = -2*r**2 - 27*r + 19. Let n(f) = -5*c(f) - 3*y(f). Let a(s) be the first derivative of n(s). Is a(-10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -18 + 19 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {i: 2, w: 1, v: 5, b: 2, q: 2, u: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 487203?\nAnswer: 1\/487203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 31*g + 174 = 0. Let p be (-3)\/15 + (-12)\/(-10). Solve -w = g - p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3356 (b) -1\/2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 35223\/72386 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 982 = 47*f - 45*f. Let x = 53 + f. Is 34 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*u - 3*u - 96, -5*a = -5*u - 125. Let k = a + -17. Calculate the smallest common multiple of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/12049303 and -8\/60246515.\nAnswer: 60246515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000210978 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 - 0\/2). Let u be (1 - i)\/(1 - 2\/4). Let g(b) = -5*b - 2. Let k be g(u). Is k <= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.28 and -3?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + 12*c**5\/5 - 455*c**4\/8 + 1675*c**3\/3 + 7021*c**2. Factor d(l).\nAnswer: -(l - 134)*(l - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -11 + 4 + 3 + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -70*m**2 - 17*m - 7. Let z(v) = -35*v**2 - 10*v - 4. Give 3*j(s) - 5*z(s).\nAnswer: -35*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 4*p + p + (-6 + 4 + 8)*(44*p - 15*p + 88*p).\nAnswer: 700*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*m - 40 - 193 = 97 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6)*10\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-14)*g)\/(g**(1\/6)*g)*(g\/g**(1\/7))\/g*g**5 assuming g is positive.\nAnswer: g**(-391\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 5\/((-35)\/(-21)). Solve 0 = 3*m - m - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1387 divide 21799479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-3))\/(-1*(-8)\/(-28)*-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 10*u**2 - 5*u + 4. Let t be v(-10). Let j = -40 - -58. Calculate the highest common factor of j and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -530.\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 8. Let q(w) = -w**3 + 4*w**2 + 3. Let z be q(j). Suppose 2*a + z*a + 4*p = 4, 0 = 4*p - 4. Solve a = -0*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) + 360012\/18. Suppose -p - p - 4000 = -g, p + k = 5*g. What is g rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f5f28 - 13c?\nAnswer: -f6064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most 1\/214857694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*m + 3*a, -4*m + 5*m - 9 = 2*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138639 is divided by 152.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 7*l = -14. Let k be 0 + 8 - (5 - (-2 + 10)). Suppose j + k = l*j. What is the highest common factor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3427\/715 + -1\/143. Let v = -111\/20 - p. Which is the third smallest value? (a) -2 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**4 - 185*a**3 - 855*a**2 + 2285*a - 1240 = 0?\nAnswer: -31, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 601533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 748*v - 1498. Give a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/12 - 4*z**4\/3 + z**3\/2 + 45*z. Let a(j) be the second derivative of y(j). What is the units digit of a(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 9\/12 - 5\/20. Suppose 2*r - 2*j - 358 = -q*j, 2*r - 354 = 3*j. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1260 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -3, -0.3 in descending order.\nAnswer: 4, 2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.029, 1, 1\/17 in increasing order.\nAnswer: -0.029, 1\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 7*l**2 - 38*l - 258. Let o be d(-6). Put 19, -5, o, -3, -4 in decreasing order.\nAnswer: 19, o, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + 78\/(-21). Let d be (l\/6)\/((-10)\/(-15)). Let q be 1*(-7)\/5 - -1. Which is greater: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4\/7)*r*r\/r**(-1))\/(r**(-1\/8)\/r*r**(-2)) assuming r is positive.\nAnswer: r**(431\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 40*h - 12*h + 132. Put 1, -4, 113, h, 4 in ascending order.\nAnswer: -4, 1, h, 4, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -61. Let f(v) = v**2 - 4*v - 6. Let r be f(w). Solve r*m + 15 = -9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.5905 rounded to 2 decimal places?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -2\/5, 0.2, 3, 0, 30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*r - 151*r - 452 - 709*r + 222 + 131 wrt r.\nAnswer: -938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 - 4*m - 3. Let l(x) = -x**2 + 10*x - 4. Let z be l(10). Let t be (-8)\/(-32) - 19\/z. Determine q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6.8 (b) -2 (c) 9 (d) 5 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2888*x**2 - 29*x**3 + 2888*x**2 + 4 - 2.\nAnswer: -29*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6038 by 3.\nAnswer: -6038\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -35*n - 33. Calculate y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 8:13 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c**3 - 44*c**3 - 4*c**2 + 4*c**2.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10113021 - 110332?\nAnswer: -10230013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*o - 1222*o + 4410 = -329*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -67 in descending order.\nAnswer: -4, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10 - 10*c**2 - c**3 - c**3 + c**3 - c + 2*c**2. Calculate the remainder when 51 is divided by h(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-40)\/60 - -22*1. Solve -27*q + a = -32*q - h, -4*a - 32 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**6\/2 + 3*o**5 + 21*o**4\/4 + 3*o**3 - 22. Let w(d) = 0. Calculate d.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 - k**2 + (0*k - k + 2*k)*(-2*k + 0*k + 5*k) + 0*k**2 - k**2 + 2*k**2)*(-8*k**3 + 16*k**3 + 10*k**3).\nAnswer: 36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277*p = -1283*p + 3*z + 51, 2*z = -22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23400 divided by -4\nAnswer: 5850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4545*t**3 + 4574*t**3 - t - 18254*t**3 + 4566*t**3 + t + 4579*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**5\/10 - v**4\/4 - 4*v**3\/3 + 5*v**2\/2 + 7*v. Let j be t(6). Let k = -175 + j. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 12*t + 16*t = 17, 0 = -2*d - t + 57 - 11 - 33 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -755*r + 10. Let a be k(-1). Let p be (a\/(-34))\/((-1)\/(-5080000)). What is p rounded to the nearest one million?\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 113*m**3 + 2*m + 2. Let h(j) = 227*j**3 + j**2 + 5*j + 4. What is -2*h(c) + 5*t(c)?\nAnswer: 111*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) 0.06 (b) 2\/131 (c) -0.02 (d) 4 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeoeeeehe. What is prob of sequence heoe?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(2\/15)\/y*y)\/y)*y\/(y**(-16)*y*y))**(5\/16) assuming y is positive.\nAnswer: y**(253\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(5\/40) - 4. Solve -4*u - 2*b - o = -4*b, 3*u - 2*b + 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtwjtjjht. Give prob of picking 1 w, 1 j, and 1 h.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r + 10*r - 10*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 - 5*w - 7. What is s(7)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7360628?\nAnswer: 2, 11, 131, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*m - 409*m + 126 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + sqrt(176)*-3 - sqrt(176))\/sqrt(4))\/(sqrt(576)\/sqrt(9)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119 + 150. Sort i, -3, -0.4 in ascending order.\nAnswer: -3, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99890, -99862, -99838, -99818, -99802, -99790?\n\"Answer: -2*v**2 + 34*v - 99922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6508 at least -56155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaiaegu. Give prob of sequence iu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85*u**2 + 85*u**2 + 146*u**5 + (-4*u**5 - 4*u + 4*u)*(-2 - 2 + 7).\nAnswer: 134*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(6\/(-9))*5*(-6)\/(-30). Solve -3*q - 2*q + 16 = -a, c*a + q = 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 25*i**2 + 18*i + 150. What are the prime factors of r(27)?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/4 + 9*o**2\/4 - 27 = 0. What is o?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**2 + 5*x + 10. Let z be s(-3). Let o = -48 - z. Find the first derivative of o - 83*c + 30*c + 12*c + 25*c wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110101 + -10?\nAnswer: -110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 5 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n + 3*n**2 - 1 - n**2 - n**2. Let l be v(7). Solve 5*o + l = -12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -3, -16, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.63 - -2.8. Let m be (-21)\/3 - 244\/16*(-4)\/9. Sort l, -0.5, m, 0.1 in decreasing order.\nAnswer: l, 0.1, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743014, -743012, -743008, -743002, -742994, -742984?\nAnswer: -742972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -21. Let j = q + 13. Find b such that -4\/5*b**2 + 2\/5*b**4 + j*b + 2\/5 + 0*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -4 (c) 529 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22883 divided by -2004.\nAnswer: 22883\/2004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:41 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1970375 and 1375?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2))**(-50))**(-6\/11) assuming g is positive.\nAnswer: g**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -12 + 9 - 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, d: 2, n: 4}. Give prob of picking 1 n, 2 r, and 1 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:45 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a factor of 535645740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b - 7835?\nAnswer: -7864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, -0.05, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2296 is divided by 113?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 6, e: 7}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 408, 404, 398, 390, 380, 368?\n\"Answer: -v**2 - v + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 175 = -5*u, u = -4*n - 23 - 2. Let o = 37 + u. Solve -4*i + 4*p + 8 = 0, -3*p - 5 + 1 = -o*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 2. Let a be 190\/25 + -2 + (-2)\/(-5). Let j(g) = -g**2 + 11*g - 22. Calculate the smallest common multiple of j(a) and p(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -b4?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 3*a + 148. Let u(j) = 22*j**2 + 3*j - 3. Let t(y) = 551*y**2 + 76*y - 76. What is a*u(k) + 3*t(k)?\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*f**3*m**3*o**3 + 2*f**3*o**3 + 2*f**2*m**3*o - 2*f**2*m**2*o**3 - 23*f**2*m*o**2 wrt f?\nAnswer: -108*m**3*o**3 + 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15) + 58\/5. Suppose 5*z - z + r = 0. Which is bigger: -6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/9 + 6862940*k + 52987438624050 = 0.\nAnswer: -15441615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b + 14 = 0. Suppose -500 = 2*x - b*x. Calculate the greatest common factor of 40 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 3*b + 1304 + 4*b.\nAnswer: 4*b + 1304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 12:55 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + (-30)\/(-126). Let z = 1 - 3. Let r = z - -3. Is i > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -126555, -126416, -126185, -125862, -125447?\n\"Answer: 46*m**2 + m - 126602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 999\/(-2331) + 7\/(196\/(-660)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**3 - b**2. Let n(z) = -4*z**3 + 2*z**2. Let r = 4788 - 4792. Calculate r*i(q) - 3*n(q).\nAnswer: -8*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 9*k - 23. Let g(m) = 3*m**2 - 28*m + 68. Let y(w) = -4*g(w) - 11*o(w). Determine y(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 5*j + 2. Suppose -4*z = 4*f - 8*f, 5*f = -5*z + 30. Calculate o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15157202.\nAnswer: 2, 31, 244471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 57*x**2 - 487*x + 3740. Determine n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 94*m - 47*m**2 + 214*m - 94*m - 35*m in the form s*m**2 + j + g*m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 6712461?\nAnswer: 67124610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*b = b - 8*b - 96*w + 94*w - 458, 18*w - 18 = 0 for b.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let y(k) = k. Let v be y(a). Differentiate -2*f**v + 2 + 3 - 2 wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36672*g**3 + 17523 wrt g.\nAnswer: -110016*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316 divided by -158.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.1000099 - -13.1. Round r to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1.0861962?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.78\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(4\/(-20)*-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 136\/211, 21, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0 (c) -1 (d) -582 (e) 3 (f) -4 (g) -29\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-128 - 51 - 131)*(-j + 2*j - 4*j).\nAnswer: -1860*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4571 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 635475961*m**5 - 631595185*m**2 wrt m.\nAnswer: 38128557660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 8, -2, -5.7, 5, -28, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z + 35*z = 40*z - 133 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 21*x - 237. Calculate l(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 1153546*l + 2307084.\nAnswer: 2*(l - 576771)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:57 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*o, 3*g - 3*o = 3 - 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -11660\/839?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2762 and -39\/878.\nAnswer: 1212518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)\/p**(-1\/4))\/(p**(1\/2))**(4\/3)*(p\/((p**(-1\/3)\/p)\/p))**(-41)*(p*p**(-2\/3)*p)**(2\/15) assuming p is positive.\nAnswer: p**(-24733\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**5 - 13*r**4 + 6*r**3 - r**2 + 7*r - 7. Let w(x) = -4*x**4 + 2*x**3 + 2*x - 2. Let l(k) = 2*q(k) - 7*w(k). Factor l(o).\nAnswer: 2*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from eewweenenneeaweenee?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 2*p**2 - 3*p - p + p to g*p**2 + n*p + s and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**4*s**2 - b**4*s - 35496*b**4 + 53082*b**2*s**2 - 3*b**2*s wrt b.\nAnswer: -48*b*s**2 - 24*b*s - 851904*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**0*m)\/m)\/m)**(-7\/6)\/(m**0\/(m*m\/(((m*((m\/(m\/(m\/(m*m*(m**(-1)\/m)\/m))*m))\/m)\/m*m*m*m)\/m)\/m)*m*m)) assuming m is positive.\nAnswer: m**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.161, -0.2, -2\/5 in descending order.\nAnswer: 0.161, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l. Let w = l + 0. Suppose w = -3*x + 15 + 12. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0. Let t be 56\/(-10 + 2) + ((-266)\/(-63) - -3). What is the third biggest value in t, h, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -74178, -148343, -222518, -296703, -370898, -445103?\n\"Answer: -5*s**2 - 74150*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, 8, 8, -10, -52, -124, -232, -382?\n\"Answer: -y**3 + 19*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -8*y**2 - 250*y - 62 = 0.\nAnswer: -31, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*((sqrt(847) - 5*1*sqrt(847)) + sqrt(847))*5.\nAnswer: 825*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-11) - (-43)\/(-473). Let f = -413 + 415.17. Put -1\/2, f, x in descending order.\nAnswer: x, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t. Let w(u) = -4389259*u**2. Give q(w(v)).\nAnswer: -13167777*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**4 + n**3\/6 - n**2 + 1037*n. What is b(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 290, -1, -247 in descending order.\nAnswer: 290, 0, -1, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 814, 4, -5, 0, -3, -4, 5 in descending order.\nAnswer: 814, 5, 4, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1959, 1622, 1285, 948?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 4*l**3 - l + 3*l)*(75*l**2 + 69*l**2 - 83*l**2).\nAnswer: -61*l**5 + 122*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 20 - 20. Suppose a = -8*z + 703 - 79. Suppose -l + 12 + 8 = 0. What is the remainder when z is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6033, 0.0225, 0.1, -3\/5, 1\/2.\nAnswer: -6033, -3\/5, 0.0225, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.4, 1\/6, 2\/123?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224.745283 - -224.837. What is d rounded to three decimal places?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -22913.\nAnswer: 9165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 10. Let q be u(-4). Suppose 3*g - 4*z = 11, -3*g + 3 = -2*g - q*z. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**3\/3 + c**2\/2 - 46445*c. Let s(l) = -5*l. Let w(p) = 16*p. Let n(u) = -10*s(u) - 3*w(u). What is n(f(g))?\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -682296 + -0.9.\nAnswer: -682296.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 + 434*o**2 - 16*o - 464. Let w(v) = v**3 - 145*v**2 + 5*v + 154. Let u(r) = -6*c(r) - 20*w(r). Factor u(i).\nAnswer: 4*(i - 1)*(i + 1)*(i + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121537, -243070, -364603, -486136, -607669?\nAnswer: -729202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.408 + 0.092. What is i rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 66*g + 7*g + 12*g + 12*g + 14*g + 12*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -60. Let f(a) = 9*a - 11. Let t be f(d). Let n = -25 + 41. What is the highest common factor of n and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**2 - 8*f - 2. Let v(b) = -8*b**2 - 7*b - 3. Let z(k) = 3*a(k) - 2*v(k). Find the second derivative of z(y) wrt y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 96. Calculate the remainder when 35 is divided by (-13)\/(26\/b)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(250)*-1) - (-3*sqrt(847) + -2).\nAnswer: 2 + 164*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1 - 4*j + 2*j + j. Let q = -9 - -7. List the prime factors of o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 37520\/9, 3\/2, -7, -2\/11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102017.0255 rounded to zero decimal places?\nAnswer: 102017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3916*w**2 - 17*w + 2285. Let y(r) = 1306*r**2 + 6*r - 761. Let x(j) = -6*f(j) - 17*y(j). What is the first derivative of x(i) wrt i?\nAnswer: 2588*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 46. Let h(z) be the second derivative of g*z**2 + 3*z + 0 - 1\/3*z**3. Let w(a) = -a**2. Calculate h(w(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f - 3. Let w be o(0). Let m = 0 - 6. Let g = -7 - m. Put 5, g, w in decreasing order.\nAnswer: 5, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10998281*y*z + y + 2*z - 19916844 wrt y?\nAnswer: -10998281*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 3013622187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**5\/60 + 7*k**3\/18 + k**2 - k + 48. Factor t(f).\nAnswer: -(f - 3)*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*h = h + 744, -h + 960 = 5*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105266973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 139 and -7206?\nAnswer: 7345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/115)\/((-192)\/(-960))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*w + 5*q, 2*q = -2*q + 4. Calculate the highest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10*-1)\/(7 - 5). Let p be (-4 + 2 + -244)\/((-51)\/(-34)). Let s = p + 169. Sort -1, x, s in ascending order.\nAnswer: x, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/(1\/6). Let y = s + -1. Solve 3*u = -u + y*h - 23, -3*u - 3*h - 12 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75282990.\nAnswer: 2, 3, 5, 2509433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.31704 from -1155.55.\nAnswer: -1155.23296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) + 0)*4.\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n + 102. Let z be p(15). Calculate the greatest common divisor of 300 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 9*n - 5. Let g be x(8). Let q = 143 - 136. Suppose -5*y + 55 = 3*b, -6*b + 47 = 3*y - q*b. Solve 4*w + 2 = 5*d, g*d - 7*d = 2*w + y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-1*sqrt(700)*2 - sqrt(700)) + -1*sqrt(700)*-5 + 5 + -2*-3*sqrt(700)))**2 + 5.\nAnswer: 7200*sqrt(7) + 403430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04111 - 105.19111. Let h = u + 105. Let y be (-33)\/(-18) - (-2)\/(-6). What is the fourth biggest value in y, -2\/11, h, 3\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2044, 4089, 6134, 8179, 10224?\n\"Answer: 2045*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.818 less than -5.7?\nAnswer: -25.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.85 + -11.85. What is the fourth biggest value in 0.9, -0.07, v, 2\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8574698 and 226644?\nAnswer: 51448188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 4\/3 (b) -2 (c) -0.035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/720 and -1\/1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 - -204. Let w(d) be the third derivative of 0*d**3 - 1\/840*d**6 - 8*d**2 + i + 0*d**4 + 0*d + 1\/210*d**5. Factor w(c).\nAnswer: -c**2*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(63) - sqrt(7)) + 3 + 4 + 5)**2.\nAnswer: 48*sqrt(7) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1143*v - 2688. Does 23 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16610703363236\/1083 - 15337673409. Let i = -8480\/3 + f. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by -5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.1 + -39.21. Let r = t + 1.11. What is the nearest to 0.22 in 4\/5, r, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 4, z: 2, w: 4, i: 1, c: 3}. Give prob of sequence zi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 27 = 31*b - 625 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -7. Let t be 1\/(-1*1\/(-3)). Suppose 4*a = 3*q - 18 + 3, 0 = 5*a + 2*q - 10. Solve a = t*m - m + i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -41*i**2 - 45*i + 11. Let w(q) = -21*q**2 - 23*q + 6. Let h(a) = -6*g(a) + 11*w(a). What is the second derivative of h(c) wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 7 - -39) + -50?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**(-46)*(l\/(l\/(l\/l**(1\/3))))**(2\/51) assuming l is positive.\nAnswer: l**(28156\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 80, 319, 932, 2105, 4024, 6875, 10844?\n\"Answer: 31*m**3 + m**2 + 19*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 - -8?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from izszsiszpipnzmspzimi?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/3, -566, 0.5, 3, 0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1418169*z - 3. Let k(i) = 4*i. Calculate g(k(j)).\nAnswer: 5672676*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -662, -672, -682, -692?\n\"Answer: -10*r - 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 - 9*l + 18. Let a be k(5). Let f = -29 + 15. Does 4 divide 6\/f - a\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 6, d: 3, e: 1}. What is prob of picking 1 e, 2 s, and 1 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-28)*-44 + 8 + (-4)\/14. Solve k = n - 8, -24*n + 5*k + m = -20*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 508*u**3 - 1010*u**3 + 503*u**3 + 95*u as v*u**2 + f*u + r*u**3 + b and give f.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15774648 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, w: 2, c: 1, z: 2}. Give prob of sequence wc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -372629 + -261371. Round h to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.86858182 - 14460.58\nAnswer: -14459.71141818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*i**2 + 597*i - 54.\nAnswer: -3*(i - 18)*(11*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*v + 5*v - 10, -s = 2*v. Suppose z + 4*j = 82, -3*z + 2*j = v*z - 432. Let d = 146 - z. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i + 227 = -263. Let s(q) = q**2 - 12*q. Calculate s(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 52*r**2 - 2*r - 102. Let n be t(-52). Solve -20 = -4*h, 4*b = -b - n*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2623b1 (base 13) to base 16.\nAnswer: e05d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5 + 1 + 1 + 0 - 3 + 6 - 1 + (-3 + 2 + 2)*(1 + 2 - 2) + 2 - 1 - 3)*(-11*s**2 - 17*s**2 + 8*s**2).\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 160405 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 2:54 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18801979817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 179842727 a multiple of 989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5923650*a**2 + 3759*a**4 + 514083\/2*a**3 + 3322344*a + 471648 + 147\/8*a**5 = 0.\nAnswer: -68, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 52 - 66 = -27*q. Suppose 0 = 5*v - 15 - 5. Solve a = v*c + q, 0 = -a + 4*a + 3*c - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cevexexrecjejrecece. Give prob of picking 2 e.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-670)\/(-12)*(-9)\/(-150) and -59\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 17*y - 22. Let l be m(16). Let g(r) = -r**3 - 2*r**2 + 8*r + 21. Does 9 divide g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.986 + 0.014. Let c = 22.9999984 - k. Round c to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uul. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*w - 35, 7 + 13 = 4*u + 2*w. Suppose 5*j - u*s - s = 6, 2*s - 8 = -3*j. Solve 7 = -j*d + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4734*i + 4 = -2*z - 4719*i, 45 = 3*z + 3*i for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 - g - 1. Let r(u) be the third derivative of -u**5\/10 + u**4\/24 + u**3\/6 + 2478*u**2. Determine 4*l(z) + 5*r(z).\nAnswer: -6*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 30 = 11*r. Let k be 8\/10*r\/(-12). Suppose 4*t - 25 = -c + 2, 11 = -2*c + 5*t. Solve k*v - v + c = -x, 0 = v + 5*x + 27 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -442244.\nAnswer: 2211220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 13 + 3 - 2*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992592266 to the power of 1\/2, to the nearest integer?\nAnswer: 54705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 273665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/358912 and -69\/7010.\nAnswer: 1794560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*k - 10, 4*k + h + 11 - 1 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -22\/1389625?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 3 - 1 + 0 + 15.\nAnswer: -t + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - k**3 + 0*k**3)*(-4*k**2 - 3*k**2 + 5*k**2)*(-12 - 45 - 77).\nAnswer: 536*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1770 = -4*b. Suppose -2*i = 338 + b. Is 4\/(-18) - i\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + 14*s + 12. Suppose -69 = -s*v + 2*d, 4*d - 32 = -v + 5. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103213039?\nAnswer: 103213039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, q: 3, o: 1, j: 2, f: 4}. What is prob of picking 1 o and 1 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + 1 - sqrt(13)) + sqrt(13) + ((sqrt(13) - sqrt(208))*4 - sqrt(13)) + -1 + (sqrt(1573)*-1 - sqrt(1573)))*-6)**2.\nAnswer: 393588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -5*v - 49. Let k = 107 + v. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267673769 to the nearest integer?\nAnswer: 16361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -45, -1173 in increasing order.\nAnswer: -1173, -45, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c = 30*c - 6834. Let u = c + 410. Solve j + 2*j + u = -2*x, -4*x = 5*j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbbuu. Give prob of sequence bdud.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n - 5. Let y = 38 + -40. Sort n, y, 5 in ascending order.\nAnswer: y, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 q when four letters picked without replacement from {n: 6, y: 2, q: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 4:19 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**24*x**(-29) assuming x is positive.\nAnswer: x**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, -56.\nAnswer: -56, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1072 + -1071.9069. What is o rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syyyysys. Give prob of picking 2 y and 1 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06781 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 69003272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 6*w - 3*w)*(4*w**2 + 4*w**2 - 12*w**2 - 3*w) as q*w**3 + o + j*w + b*w**2 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavaanacaavaa. What is prob of picking 1 n and 2 v?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -12657 and -0.2.\nAnswer: -12657.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.24 and -15966173?\nAnswer: 15966172.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111184973 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o + 422 + 15 = -273 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -17*u + 18*u - 3*l, -4*u + 102 = -5*l. Solve -27*c + u*c = 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 339 = -3*y, -4*g - 203 - 7 = -2*y. Suppose -12 - 32 = -2*k. Suppose -w + y = -k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -11. Let h = s + 11.1. Is 19 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 699 * 422912.\nAnswer: 295615488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/30 and 4\/1839?\nAnswer: 18390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 3*m + 3*m)*(0*m + 0*m + m) + (5*m - 5*m - 3*m**2)*(211 + 370 + 217) to the form j*m**2 + o + i*m and give j.\nAnswer: -2395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 326*b**2 - 326*b + 296. Calculate i(325).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*j - 40 = 0, -235*j = 4*p - 231*j - 28. Solve -12 = -9*g + p*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -1\/4162 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 2*n + v - 62, -5*v + 1 = 5*n - 12*v - 69 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 63 + 4*d + 8*d in the form j*d + h and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - -5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/2*c**4 + 7\/2*c**2 - 1\/6*c**3 - 1\/20*c**5 - c + 34. Calculate p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*a + 2*a - 16, -6 = -h + 2*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-10*k + 5*k - 5*k) to q*k + m and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d + 3502 + 948 = 90*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + k - 4*k + 5*k + 0*k + (2*k + 2*k - 6*k)*(-2 + 3 - 2) + 0*k + 2*k + 0*k + 428*k - 5654 + 5654 as h*k + z and give h.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 2\/9, -29037, -3 in descending order.\nAnswer: 2\/9, -3, -61, -29037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (783\/1044)\/((-12)\/128).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i**2 + 22*i**2 - 6*i**2 - 71 - 5*i**2 - i**2. Let a(u) = -3*u**2. What is a(p(d))?\nAnswer: -12*d**4 - 852*d**2 - 15123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -22. Let m = 14 - 7. Let f = z - m. Sort -4, f, 0.2.\nAnswer: -4, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 309.7 (b) 0.01 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - r**2 - 17*r + 18. Let m be s(1). Suppose -9 = 4*g - 5, m*c = 3*g - 3. Let v(w) = w**2. Give v(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(252)\/sqrt(9) - (2*sqrt(343))**2) + (sqrt(77) + sqrt(77) + sqrt(77) + -2*(sqrt(77) - sqrt(77)*-2))\/(5*-2*sqrt(11) + sqrt(11))).\nAnswer: -14*sqrt(7) + 8202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17422, 69641, 156680, 278545, 435242, 626777, 853156?\n\"Answer: w**3 + 17404*w**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137.8 + 161. Let t = v - 11.2. Sort 3, -0.3, t in ascending order.\nAnswer: -0.3, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17337 + 17337 + 10179*f + 2702*f as r*f + b and give r.\nAnswer: 12881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 7*r - 6. Let j be h(6). Find t such that 2\/11*t**2 + 0 + j*t = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/((b*(b\/(b*b**0))\/b)\/b)*b)\/b)\/b)**42)**(-33))**(-10) assuming b is positive.\nAnswer: b**13860","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 + 3*k + 1. Let x be z(-3). Let u(o) = o - 19. Let w be u(22). Suppose 6 = 3*c - 5*y - x, -2*c + 28 = w*y. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p - 2. Determine u(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 9*j**2 - 9*j - 7. Give w(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 164*v**2 - 2488*v - 712. Let t be y(178). Let z be (-1)\/(-3) + (-11)\/24. Which is the nearest to -3? (a) 2 (b) 0.5 (c) z (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 - y - 2. Let z be k(2). Suppose z = 10*r - 17*r + 112. Calculate the least common multiple of 10 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*r - 29*r + 6. Let u be (-176)\/(-132) + (-10)\/r. What is the nearest to 2 in u, 12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37391, 74895, 112399, 149903, 187407, 224911?\nAnswer: 262415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*((sqrt(117) - (2 + sqrt(117)*-1)) + sqrt(117)*-2*2 + sqrt(117))**2.\nAnswer: -2178 - 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 63 (b) -3 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 37 - 71)*(5 + 0 - 4)*(-3*y + 2*y + 3*y).\nAnswer: -180*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 41094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -2*v + 13, t = -4*v. Let l be (v + 39\/12 + -3)*4. Solve x - 2 - l = -3*y, -x + 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105581116?\nAnswer: 2, 26395279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 32, 53, 76, 101, 128?\n\"Answer: s**2 + 16*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8.58, -2, 148, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 9*o. Let t = -6 + 26. Calculate the lowest common multiple of g(5) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -3*d, 5*d - m + 3*m = 8. Let n be ((-10)\/(-3) - d)*3. Solve 3*f - n*f = 2*k - 6, 4*f - 3 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 4*v + 51 + 48.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {m: 2, e: 4, w: 1, q: 6, y: 4}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 191*v - 192 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 56*r**2 + 28*r**2 - r + 5*r + 26*r**2.\nAnswer: -2*r**2 + 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**5 - 6920*r**4 + 2412208*r**3 - 238505568*r**2 = 0?\nAnswer: 0, 214, 1302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 20 = -2*s. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 - 2. Sort 0.03, h, 0.\nAnswer: 0, 0.03, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 = -p + 4*u, 1695 = 5*p - 2*p - 4*u. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1491, 1\/4, -148 in descending order.\nAnswer: 1491, 1\/4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*b + 3*b = -2461 - 377. Calculate the remainder when b is divided by (-346)\/(-14) - (-4)\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 123, 247, 371, 495, 619, 743?\n\"Answer: 124*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 211200310 (base 4) to base 7\nAnswer: 1206652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21789*h - 21771*h = 486 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 254228917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 13133?\nAnswer: -13110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 0.3, -7, -1, -2\/5, 2\/7, 13.394?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 2*q + 1. Let k be v(-2). Let o be (-3 - k)*(0 + 1). Suppose 4*h = z + 8, -2*h = -o*z + z + 2. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-5) - -3)\/((-11)\/22). What is the closest to -1 in -1\/40, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-1 + sqrt(2) - sqrt(2))*6 - (-4 + sqrt(2) + 0 + 3).\nAnswer: -7*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 8*p = g - 75570, -2*g + p = -151140. What is g rounded to the nearest one thousand?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 divided by -113.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**4 - 6*i**3 - 6*i**2 - 4*i + 1. Let v(o) = -o**4 + o**3 - 1. Let a(k) = m(k) + 2*v(k). Factor a(z).\nAnswer: -(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6822*h**2*o**4 + 160*h**2*o**2 + 439*h**2*o - 160*o wrt o.\nAnswer: -81864*h**2*o**2 + 320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/128*4)\/((-4)\/((-8)\/3)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 1.3 (c) -151 (d) -4 (e) 0.3 (f) 2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - b + 1 = 3, -u + 18 = -4*b. Suppose u*j - 2*d + 3*d = 8, 3*j = -d + 11. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -117*b**2 + 10*b - 20. Let u(r) = -35*r**2 + 3*r - 6. Let s(p) = -3*h(p) + 10*u(p). Let d(m) = -m + 4218. Give d(s(o)).\nAnswer: -o**2 + 4218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 15*s + 8. What is f(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5, -1\/4, -1.2, -2\/21, -2\/7?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*d - 5*o = 492*d - 195, 4*d + 5*o - 157 = 0 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 6*q**2 + 7*q + 1. Let d be a(7). Let j(c) = -1 - c + d. Let i(u) be the third derivative of -13*u**4\/24 - 1064*u**2. Determine j(i(f)).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**8\/50400 + h**7\/2100 - h**6\/200 + h**5\/15 - 2*h**2. Let t(q) be the third derivative of k(q). Let t(m) = 0. What is m?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 811 + 31. Let i = p + -180. Is i a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 82 + 78 = 0. Let i = y - -40. Let t = 61\/3 - i. Which is the second biggest value? (a) 1 (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2482 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4416*r**3 - 6*r**2 - 9*r - 9. Let t be m(-10). Let o = t + 6346519. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2079\/252*472\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 8. Let d(r) = -47*r - 76. Let u(h) = 2*d(h) - 19*m(h). Let x(o) = 2977*o. Determine u(x(l)).\nAnswer: 2977*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1877, -1838, -1775, -1688, -1577, -1442, -1283?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 + 704\/10. Suppose 23*s - 12 = 21*s. Let v be 26 + s*2\/6. What is the greatest common factor of v and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286762443.\nAnswer: 3, 11, 17, 511163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - q + 4*q)*(-4 - 1 + 0) + 18*q + 36*q + 14*q + 61*q + 10*q.\nAnswer: 144*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2\/9, 0.4, 3, 243?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 3880?\nAnswer: 387a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 + 912*j**2 + 277248*j + 28094464 = 0.\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - (-51)\/9)\/(2\/(-12)). Calculate the greatest common factor of 18 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105732 and 1980.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.9 + 59. Suppose 3*a + 3 = -12. What is the closest to d in 5, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2072\/5 - (69\/(-15) + 5). Suppose 4*w - 5*l - 27 = -4*l, -21 = -3*w + l. What is the remainder when ((-3)\/((-9)\/2))\/(12\/x) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17133 is divided by 12853?\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5423 - -9008. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00612981 rounded to four decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, 1 z, and 1 m when four letters picked without replacement from zaymmmpmqpamq.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 18 + 24 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 2*g**2 + 0*g**2 + 0*g**2 - 3*g**2 + (-4 + 4 + 2*g)*(4*g + 4*g - 2*g) in the form h*g + q + j*g**2 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31.5256, -4, -227 in increasing order.\nAnswer: -227, -31.5256, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)*i*i\/i**(-6)*(i**4\/i)\/i**(-1\/3))\/((i**(-7)*i*i\/(i*i*i**(3\/2)*i)*i)\/(i**2\/i)**42) assuming i is positive.\nAnswer: i**(751\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -638565*v**6 + 897196*v**2 - 2*v?\nAnswer: -76627800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gug when three letters picked without replacement from uuuuguuuguuuuguuuu?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 9. Let o be t(-5). Solve 3 = o*r - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 8. Let j be 108\/(-14) - (-1 - h). Let s = -148\/21 - j. Which is the second biggest value? (a) s (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:28 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/17 (b) -2\/31 (c) 0.3 (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 16) in base 6?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2964311 - -3?\nAnswer: 2964314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 39213876*o - 19606958*o - 19606918*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/280)\/((-36)\/(-42))*(-75)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -119197 rounded to the nearest one hundred?\nAnswer: -119200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/6)*d**(-8\/7))**(-37) assuming d is positive.\nAnswer: d**(481\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u - 1. Let k(g) = -5*g**2. What is k(r(j))?\nAnswer: -605*j**2 + 110*j - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 6*q**2 - 5*q**2)*(6 - 16 - 4).\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34320 + 34320.53977. Let r = n + -0.54. Round r to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.5, 1\/4, -3, -0.88, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.974 + -0.026. What is the closest to 0.1 in 0.2, 13, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 49, 86, 157, 274, 449, 694, 1021?\n\"Answer: 2*x**3 - x**2 + 4*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 5*f + 11. Let g = -7 + f. Suppose 5*l - 6 = g. Solve 2*c + c - 25 = 4*h, -2*c - 2*h = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29324.962 to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44615, -89194, -133763, -178322?\n\"Answer: 5*g**2 - 44594*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (2 + -3)\/(42\/(-1261848))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 807785 and 3865?\nAnswer: 807785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -712, -2472, -5294, -9178, -14124?\nAnswer: -20132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*m**(-18)\/m))*m**5)\/(m**(-3\/7)*m\/m**(-2\/81)*m) assuming m is positive.\nAnswer: m**(-7709\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -792 (c) -4 (d) -1\/108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*b**3*f**3*s**2 + 184828*b**3*f*s**2 + 34*b**3*f*s - 3*b*f*s + 14047*f**3 wrt s.\nAnswer: -54*b**3*f**3 + 369656*b**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bb053 - 4?\nAnswer: 1bb04f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Let r = 21.6 + -19. Let v = x - r. What is the closest to -1 in -5, v, 3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 399 + -188. Suppose -215*r = -f*r - 8. Suppose 0 = -2*s - s + 6. Solve s*a - 2*y = -2, -r*a - 5*y = -17 - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:29 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2303963 + 2338447 = 466*h for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-1)\/2 - (0 - 1). Is 45 a factor of ((-1)\/w)\/(18\/6642)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) -400 (c) -4 (d) 6\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 + 542 = 32*s - 284 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23611*d = 23607*d - 120, -4*z + 5*d + 134 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from dlllqold?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -176*r + 408. Is 9 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7226\/493 - 248\/17. Which is the nearest to 1? (a) -2 (b) v (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a)**(-41)*a**(-1)\/((a\/(a\/a**(-3\/8)))\/a) assuming a is positive.\nAnswer: a**(-1309\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 170975 to the power of 1\/2, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-168)\/(-4) + (-3)\/6*-8. Let n be (4 + y)*(-6)\/(-1). What is the greatest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztduutn. What is prob of sequence un?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*w + 5 = 0, -27 = -3*l + 3*w - 30. Suppose l = -7*v - 58 + 93. Let z(u) = -4*u + 3. Calculate z(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 - s**4 + 4*s**4 + (s**3 + 4 - 4)*(3*s + s - 6*s) - 36*s**4 - 909 + 909.\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -6 + 7 + (65 - (-147 + 239))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -159? (a) 2 (b) 46\/11 (c) 1\/5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 603262 or 603272?\nAnswer: 603262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13880\/3 - -4771. Let d be (11\/(-3))\/(2\/78). Let x = d + h. Which is bigger: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by (0 + 7\/(-21))*-93?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.58 + 0.18. Let f = -1 - -4. Which is the nearest to 0.1? (a) g (b) -1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 130144939.\nAnswer: 130144944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 1. Let c(k) = f + 1 + 19*k - 20*k. Suppose 25*q - 108 = -2*q. Determine c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685479 is divided by 266.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + 68. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72) + sqrt(72) + 1 + 2)**2.\nAnswer: 72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 633 = s + 2150, -4*s - 6008 = 4*x. Let q = -911 - s. Does 68 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 3*l**2 + 37*l - 20. Let b be w(-9). Calculate the greatest common factor of b and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 86632991.\nAnswer: 86632991.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 4*r**3 - 5*r**3)*(-11*r**2 + 10*r**2 - 207*r**2).\nAnswer: 624*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/137, 1, 129\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186036550.\nAnswer: 2, 5, 7, 461, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -82. Let u be (-3)\/27 - 2\/9. Which is the nearest to -0.3? (a) u (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Let c = 0.1 - a. Let t = -1.98 + 1.78. What is the third biggest value in c, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 - 2005 = -6*f. List the prime factors of f.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 6)*(6 - 3 - 4)*(2 - 2 + 1)*(-v - v + 4*v)*(8 + 2 + 7).\nAnswer: 272*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k - k + 2*k)*(1 + 2 - 4)*(-4 + 4 - 4)*(3 - 1 + 1)*(35*k + 38 - 38).\nAnswer: 3780*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 - -120. Let u be 1 - (3 - (-1 - -4)). Sort 6, z, u in descending order.\nAnswer: 6, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16524 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-16))\/(((-1)\/(-3))\/(29\/(-87)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9125 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - 573. Let v = -415 - n. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 2, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1831, -3662, -5493, -7324, -9155?\n\"Answer: -1831*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(0 - 9)*1. Let f = n - 12. Let k be (6\/40)\/(f\/(-2)). What is the smallest value in 0.5, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1287 - -1294. Let v(a) = -a**2 + 3*a + 33. Calculate v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 12*n - 1. Let i = 528 - 534. Calculate o(i).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/40 and 167\/4398306.\nAnswer: 87966120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + c**5 + c - 3*c - 8*c**5 + c**4 - c**4 - 3*c**5 - 3*c**5 + 4*c**5 + (-3*c**3 - 2*c**5 + 3*c**3)*(-1 + 5 - 2) + 3*c**2 - 3*c**2 - c**5.\nAnswer: -16*c**5 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2, 123.42 in ascending order.\nAnswer: -4, -2, 2, 123.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 3*q - 3*q + (20 + q - 20)*(3 - 5 + 0) + q - 6 - 4 + 5 as p + f*q and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 b when four letters picked without replacement from {p: 8, g: 3, b: 7}.\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*c**3 - 290 + 290 + 18*c**3 - 11*c**3 + 10*c**3 - 4 + 4 - 2*c**3 + (3 - 3 - c**2)*(5*c - 3*c - c) as l + t*c**3 + n*c**2 + r*c and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 25 = -5*p, -p - 21 = -3*s - 2*s. Suppose 2 = -27*w - 133. Put 3, w, 2, s in descending order.\nAnswer: s, 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*w + 56 = 2*y, -2*y + 33 = -3*w. Suppose 2*l = 4*n - 36, 0*n + 27 = 3*n - l. Calculate the greatest common divisor of n and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 125*n - 126*n + 3, -2*b = n - 3. Suppose 5*o = 3*o + 6. Calculate the remainder when o is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 - 236*h\/13 - 6962\/13.\nAnswer: -2*(h + 59)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -145820 to the nearest one thousand.\nAnswer: -146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(36\/(-40))*1. Solve -4*k + 9*k + w = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 7*y**2 - 3*y - 49. Is u(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-2)\/(-14))\/(25 + -26)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 3*y - 79. Suppose 4*l - 5*u + 7 = -10, -9 = y*l - 3*u. Sort l, -34, -4 in descending order.\nAnswer: l, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4 - 980940*t**3 + 120280410450*t**2 = 0. What is t?\nAnswer: 0, 245235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iziipfe. What is prob of sequence pzei?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 1274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45368 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3851726*r**2 + 3851729*r**2 - 4 + 4.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 8457138?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than -191\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7197599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/60 - g**4\/4 + g**3\/2 + 21*g**2. Let j be p(0). Which is the second smallest value? (a) 0.6 (b) -8\/3 (c) 0.1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 45. Let g(w) = -4 + w - 2*w - o. Let d be g(-7). Is d less than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 43*t**4 - 10*t**3 + 25*t - 1225. Let p(x) = 131*x**4 - 35*x**3 + 76*x - 3674. Let d(w) = 2*p(w) - 7*q(w). What is the first derivative of d(s) wrt s?\nAnswer: -156*s**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040555516 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -4.8712?\nAnswer: 9.7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1370, 10754, 36138, 85526, 166922, 288330?\nAnswer: 457754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 1 - c + 2)*(1 - 1 - c**2).\nAnswer: c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400846612 by 100211653.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 + -124. Let h(d) = -2 + 0 + 2*d + 2*d. Let c(i) = -7*i + 4. Give o*c(q) - 5*h(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 93, 25, -4, 21 in ascending order.\nAnswer: -4, 0, 21, 25, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14851 (base 14) to base 16.\nAnswer: c757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 5*i**2 - 4*i**2 - 3*i**2 + 2*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (384727\/90524)\/((-1)\/(-20))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 22*v + 47. Let a be h(-20). Let w be ((-1)\/(-2))\/(a\/14)*1. Let y be (1 - (w + 0))\/(-3 + 2). Let c(k) = -k - 7. Give c(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 541772?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, 5, 0, -47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**2 - 4*w - 3. Suppose -411 + 446 = -427*b + 2332 + 265. Calculate the lowest common multiple of m(-4) and b.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -272211 - 178.\nAnswer: -272389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*j**4 + 5*j**4 + 48*j**4 + (0*j**4 - 3*j**4 + 4*j**4)*(0 + 1 - 3) - 4*j**4 - 2*j**4 + 5*j**4 + j - j - 2*j**4 + 12 - 32*j**4 - 12.\nAnswer: 78*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/65)\/(6\/39)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3*t**4\/20 + 66*t**3\/5 + 1296*t**2\/5 - 23328*t\/5 + 2497. Factor s(h).\nAnswer: 3*(h - 6)*(h + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -18*l**5\/13 - 428*l**4\/13 + 11634*l**3\/13 - 42956*l**2\/13 + 47352*l\/13 - 656 = 0?\nAnswer: -41, 2\/9, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*-1*(sqrt(833) + 2 + 1))**2.\nAnswer: 42*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1.3\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 - 9*m**2 + 174*m**3 + 0*m**2 + 0*m - 172*m**3 - 2 + 24*m**4 - 19*m to the form r*m + n + d*m**3 + s*m**4 + f*m**2 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26214 - 26182. Solve -256*y + 264*y = p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 4:36 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhkv when four letters picked without replacement from nhvnhnnnhnnnnkh.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/2)\/((-13)\/((-169)\/26)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 282*a**3 - 345*a - 10. Let r(k) = 423*k**3 - 518*k - 14. Let h(f) = 7*g(f) - 5*r(f). Find the second derivative of h(i) wrt i.\nAnswer: -846*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 243 (b) -3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369113478 by 597271.\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 4*b + 4, -9*d = 128*b - 141*b + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 73*r**2 - 78*r - 328. Calculate b(-74).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/14 - 67\/(-189). Suppose 14*i - 10 = 4*i. Do i and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -36*f**2 - 1. Let g(h) = -18*h**2 + 8*h**2 + 33263 - 33263. What is r(g(o))?\nAnswer: -3600*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w + 81*w - 6 = 0. Solve 0 = z - 1, 17 = 4*y - z + w*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (145\/15 - (3 + 1))*(-14 - -11)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3902901? (a) 1\/5 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -885, -893, -915, -957, -1025, -1125, -1263?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-2)\/1)\/1. Suppose -5*c = -y*c. Suppose c = 3*d - d + 4. Is 0 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 165, 4.\nAnswer: -29, 4, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6041460*p. Let g(r) = r. Determine g(v(h)).\nAnswer: 6041460*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, u: 2}. Give prob of sequence qq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -457, -3902, -13253, -31462, -61481, -106262, -168757, -251918?\n\"Answer: -492*v**3 - v**2 + 2*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 91. Find the common denominator of (-1)\/v - 35\/18 and 5\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4330, -8659, -12990, -17323?\n\"Answer: -y**2 - 4326*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22426 is divided by 10983.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v + 32*v = -32*v + 421419. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925710 a multiple of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175671650?\nAnswer: 2, 5, 7, 11, 103, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75.819 - -167.873. Let q = 100.5622 - x. Let m = q - 8.5. Round m to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 59 = 95 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11418468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4313*c**3*o*v**3 + 22*c**3*v**2 + 9*c**2*v**3 + 3*c**2*v - 757*o - 76*v**3 - 14 with respect to o.\nAnswer: -4313*c**3*v**3 - 757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5033.934 days to hours.\nAnswer: 120814.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200869292 and 3252944?\nAnswer: 803477168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210*d**2*y**2 - 2*d**2 + d*y**2 - 294*y wrt y.\nAnswer: -420*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1112 - 919. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1969, 1970, 1971, 1972, 1973?\nAnswer: 1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/3 + 374*b**3\/3 + 376*b**2 + 10*b - 16. Factor p(n).\nAnswer: -4*(n - 188)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 4*p**2 - 1 + 5*p**2 - 2*p**2 in the form l + n*p**2 + c*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**2 + 3\/7*c**5 + 0*c - 18*c**3 + 33\/7*c**4 + 0.\nAnswer: 3*c**3*(c - 3)*(c + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3880 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1312*g**3*p**3 - 27*g**2*p**3 + 4*g*p**3 - 3*g*p wrt g?\nAnswer: -7872*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1008685963 and 74.\nAnswer: 1008686037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/z)**(1\/16)*z\/z**5*z**1 assuming z is positive.\nAnswer: z**(-73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -1.1, 11112?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**7*p*(p*p*p\/(p*p*p*p*p**(-2\/25)\/p*p*p))\/p*p)**(2\/11) assuming p is positive.\nAnswer: p**(354\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -12*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118 in -15, -0.5, -4\/3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43565 + -264085\/6. Let m = q + 455. What is the common denominator of -95\/534 and m?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 17, s: 3}. What is prob of sequence vs?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o**5 - 50*o**4 - 150*o**3 + 100*o**2 + 135*o - 50 = 0.\nAnswer: -2, -1, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = g + 20098, -5*w + 30220 = 3*g + 10094. List the prime factors of w.\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -41\/64 (b) -31\/4 (c) 3\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6962 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5204 + 3022776?\nAnswer: 3022772.4796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Convert 99035.74 minutes to milliseconds.\nAnswer: 5942144400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.0168kg to micrograms.\nAnswer: 95016800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -37.8, 0, -10405, -0.5?\nAnswer: -37.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-20)*745\/894.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwrrwwwwwwww. What is prob of sequence rw?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5757, -2, -22, -11, 4 in increasing order.\nAnswer: -5757, -22, -11, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -79, 3, -27\/4, 1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 + 2*z - 9. Let y be q(-4). What is the common denominator of (-2)\/(-5) - (-42)\/y and -41\/91?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2 - 5*d**4 + 2492 + 40*d**4 - 31*d**4 - d**2 + 120*d wrt d.\nAnswer: 16*d**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -965, -1935, -3109, -4589, -6477, -8875, -11885, -15609?\nAnswer: -20149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 24*q**2 - q. Let b(v) = -v**2 - v. Calculate -2*b(y) + j(y).\nAnswer: 26*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**6 + 2*i**2 + 11218 + 112*i**3 - 110*i**3 - 12315 - 217*i**4 wrt i.\nAnswer: -840*i**3 - 5208*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 73 = 32*l - 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 397231 = 2*r - 846234, 0 = -3*c - 3*r + 1243467. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9 - 8*j - 11 + 0 + 1. Let d be x(-3). Let p(y) = y**2 - 2*y - 6. Determine p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -2. Let y = -4.3536 + 3.96. Let a = y + n. Round a to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (0 + 7 - (-1 - (-9 + 10)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let a(c) be the third derivative of 0*c - 9\/8*c**4 + 0 + 0*c**3 + c**2. What is q(a(x))?\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29142779, -29142777, -29142775, -29142773?\nAnswer: -29142771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-7) + -16*5262\/(-56) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243515 is divided by 273.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**2\/2 + 1949*w - 23. Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiyvvitiviiiyvyyvy. What is prob of sequence viti?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 327462 * -0.3\nAnswer: -98238.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 25 = 5*t. Solve 0*v = t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -71874016125 and -17?\nAnswer: 71874016108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hueom. Give prob of picking 1 m and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Suppose b - 2808 = -b + 4*t, -3*b + 4237 = -t. Calculate the greatest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 - 145260*p + 726175 = 0. What is p?\nAnswer: 5, 29047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 - 3 = 0. Suppose -2 = u + p. Is u\/(-6) - 2378\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b = 43 - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-25))\/(2\/10). Suppose -10 = -5*h, 2 = r*j + h - 2. What is the first derivative of 0 - 3*d**3 + 5 - j wrt d?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 2}. Give prob of picking 1 m and 2 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 35\/3*a**3 + 55\/3*a**2 + 25\/3*a + 5\/3*a**4.\nAnswer: 5*a*(a + 1)**2*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18908116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6309 - -6312. Put 4, 11, 1, p, -0.6 in increasing order.\nAnswer: -0.6, 1, p, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2 + 2*d - 1 + 0*d. Let z be o(1). Determine n, given that -1\/3*n + 1\/3*n**z - 2\/3*n**2 + 2\/3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13620447?\nAnswer: 3, 504461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -756.558 and -276.\nAnswer: 208810.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1*-2*sqrt(117) - sqrt(117)))\/(-2*sqrt(1296) - (sqrt(9) + sqrt(36))*-6))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7040 divided by 1?\nAnswer: 7040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 - -0.11998. Round o to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + 6. Let p = 65 - v. What is the hundreds digit of (-6)\/9*p - -145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31421 + -31421.030194. Let o = d + 0.03. Round o to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/20 + -1 + -4. Let x = 5.2 + -0.2. Is x <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrff.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 738 + -736. What is the second biggest value in 0.1, -1.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -3)\/((-3)\/153). Let u(j) = 17*j**3 + j**2 - 1. Let q be u(1). Calculate the greatest common divisor of k and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 253555 * -16.\nAnswer: -4056880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**10*a*a)\/a))**(-1\/3)\/(a**(-18\/13)*a**3*a) assuming a is positive.\nAnswer: a**(28\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -2\/7, -46, -7, -45?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -16, -55, -132, -259, -448, -711, -1060?\n\"Answer: -2*m**3 - m**2 + 4*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 724 = -2*d + w, 2*w = 0. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47817 and 4830.\nAnswer: 478170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.73895778 less than -0.3?\nAnswer: 109.43895778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2282\/9 - -258. Is w less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/6, 1, -0.6, 2\/17, 14, 0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28496426?\nAnswer: 2, 7, 73, 27883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 7486?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13971.9 + 13972. What is the third biggest value in 7, -1, z, 1\/4, 15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92594 divided by 92.\nAnswer: -46297\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6816118 is divided by 1136019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/2*-1*(-136)\/10. What is the greatest common factor of v and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891034 is divided by 68.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -35446 (b) 4 (c) 0.2 (d) -3 (e) -4 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 699474*p. Let q(d) = -84*d**2. Calculate o(q(y)).\nAnswer: -58755816*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -127 + 128?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 9:21 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 3*v + 4*v - 2*v.\nAnswer: 5*v - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214300 is divided by 961?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 317*h**5 + 2*h**4 + 2*h**3 - 181*h**2 - 13*h + 2 wrt h.\nAnswer: 19020*h**2 + 48*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 3*m**2 - 4*m**2 - m**2 + 3*m**2 + 3 + m**4 in the form w*m**3 + n*m + x*m**4 + l + c*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from oasnnnsfoana?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 24*h**2 + 38*h + 347. Let z be y(-23). Solve z*t + 2*b = 7*b - 5, b = -1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11169046*a**3*q**3 + 5*a**3*q**2 - 12*a**3*q + 109251*a - 29*q wrt q?\nAnswer: 67014276*a**3*q + 10*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than -867\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(627)\/sqrt(1100)*1)\/(sqrt(72)\/(sqrt(72)\/sqrt(12))))**2 + -1.\nAnswer: -381\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 55.4. Let b = 962 - 962.6. Let i = h - b. What is the third biggest value in -1\/10, -2\/13, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/n)\/n)\/(n\/(n*n*n**(-7)))*(n\/((n\/(n\/(n**7\/n)))\/n))\/(n*n**(-6\/5)) assuming n is positive.\nAnswer: n**(-172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0251 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 4. Let h be x(8). Suppose 3*c + 4 = h*c. Find the third derivative of -4*y**4 + 5*y**2 + 5*y**4 - c*y**2 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 - 27*x**2 + 5*x - 15. Is r(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7754 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150178 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 - 7) + -2 - 786. Let h = -760 - r. Solve n = -5*j - 30, 2*j + 4 - h = 5*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m - 20. Let s be r(3). Let k(v) = -4*v**2 - 4*v - 2. What is k(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28342224853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1498\/11, 2\/9, 1 in ascending order.\nAnswer: 2\/9, 1, 1498\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3837\/3478 + -42\/37. Let h = k - 119\/2162. Let n = -19 + 20. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 11*c**2 - c + 18. Let z be a(11). Let y(h) = 36*h - 9. What are the prime factors of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195\/38 + 13895\/2717. What is the common denominator of -101\/2 and k?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 2572\/(-20) - -5 - (-4)\/(-10). Let j = 126 + d. Let h(z) = 2*z**3 - 2*z**2 + z + 1. What is h(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in -3, -1\/5, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 226, 306, 404, 514, 630?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 388716192 at most as big as 388716192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 29, 39, 31, -1?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*c**2*k - 208*c**2 + 3*c*l - 6*k*l - 7*k + 82*l - 2 wrt c?\nAnswer: 52*c*k - 416*c + 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - x = -7, 5*l - 17 = -0*x + 4*x. Suppose -a + 999 = -6*r + 9*r, -5*a - l*r = -4995. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose -59*s + 63*s - 12 = 0. Solve -15 = -b*p + 3*k, -p + s = -3*k - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*v = 26, -4*m = -58*v - 562 + 48 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -29\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -12156518113?\nAnswer: -12156518112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6593875 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002864637881 to seven dps.\nAnswer: -0.0028646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -73, 3 in descending order.\nAnswer: 3, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h. Suppose -2*l - 312 = -4*f, 0 = 4*f - 7*f - 5*l + 221. Let i(w) = -w**2 + f*w - 77*w. Calculate g(i(p)).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61533466 - -114?\nAnswer: -61533352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11124 + 11?\nAnswer: -11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1064)\/3591*-3*1\/2.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-609)\/58)\/(-21))\/(-2)*8\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 17 = 2. Suppose 0 = -8*g + z*g + 753. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015282722 rounded to 5 decimal places?\nAnswer: 0.01528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-70)\/3 - (-9 - -7) and 19\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i**(6\/5)*(i\/i**(-2)*i)**10)**(-12\/5) assuming i is positive.\nAnswer: i**(-2592\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 280.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 61, 101, 143, 187, 233?\n\"Answer: l**2 + 35*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahan when four letters picked without replacement from anhwhhwawahwnha.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 8 = -4*g - 7*z, -2*g + 3*z + 26 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 4. Let q be k(0). Suppose 6 = 2*m - q*m. Let h = -3 - -3.4. Put h, -0.2, m in increasing order.\nAnswer: m, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -653097 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008444517629 rounded to 6 decimal places?\nAnswer: 0.008445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*j = -116 - 444, 0 = -3*m - 5*j + 336. Suppose 14*q - 1946 = -m. What is the remainder when q is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11578.0063658 - 11578. Round i to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1 times -6751?\nAnswer: -74936.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248102.\nAnswer: 2, 19, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/5152 and -185\/2184?\nAnswer: 200928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 3\/5*i**5 + 3\/2*i**4 + 0*i + 0*i**2 + i**3 + 4. Let o(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - 1562*f**2 - 10*f + 15*f - 3380*f**2 to c + n*f**2 + q*f and give n.\nAnswer: -4942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 45*x**2 + 6922 - 2*x**3 - 13903 + 5*x**4 + 6931 - 33*x**3 + 35*x = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198509427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203 + 208. Suppose -j*d + f = 2*f - 18, 4*f = -2*d. Solve 3*z - 14 = -5*a + 6*a, d*a - 3*z = -29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 6*m - 3. Suppose q + 3*v = 11, -q + 5 + 14 = 5*v. Let z(i) = -19*i + 3 + 69*i - 26*i - 9 + 5 - 23*i. Calculate q*u(p) + 5*z(p).\nAnswer: p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -51, -106, -183, -282, -403, -546?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3598388.\nAnswer: 2, 163, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 19*p**2 - 135*p + 3. Calculate c(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45472, -41336, -37200, -33064, -28928, -24792?\n\"Answer: 4136*l - 49608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1060 and 66460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*p + 18 = 886*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 1, -2*a + 139 = -y - 3*a. Let i = y + 278. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-3 + 2)) + 17 + 6 + -15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165 or -1818\/11?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgs when three letters picked without replacement from {s: 3, q: 4, r: 3, d: 1, b: 6, g: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-3))\/(4\/(24\/6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 1006 - 22 = 0. Let c = -85 - h. Let x be (15\/c + 0)*(-6)\/(-15). Let y(n) = -n**2 - n - 2. What is y(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -332, -498, -666, -836, -1008?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -10*j - 20. Suppose 2*f - 5426 = -j*f + 3*b, -f - b = -1082. List the prime factors of f.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7*x = -2*x + 15, p + x = -3. Suppose 2*z = -0*z - 3*y - 2, -3*y - 6 = p. Calculate the remainder when 2 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -22, -37, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6544909 greater than 17\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:07 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -699*r**6\/40 - r**5\/20 - 53*r**4\/12 + r**3\/2 - 2*r**2 + 18*r - 27. Find the third derivative of j(h) wrt h.\nAnswer: -12582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14142*y**4 - 22*y**2 + 8864. Let c(j) = -2828*j**4 + 4*j**2 - 1773. Let g(s) = -11*c(s) - 2*h(s). What is the derivative of g(z) wrt z?\nAnswer: 11296*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5365 + 5365.02147. Let o = -0.021472121 + g. What is o rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 24*c**2 - 93*c + 33. Determine q(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 4*n**2 + 2*n + 3. Let o be b(3). Suppose -t + 7*t - 24 = o. Let c(x) = x - 4*x + x + t*x. Let w(q) = -13*q. What is c(w(j))?\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3135, 3133, 3131?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035143 to five decimal places.\nAnswer: -0.00351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3958*-0.2\nAnswer: -0.07916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(-71)\/2*(3 + -4) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 46. Let y be b(-13). Let o = 74 - y. Suppose -4*u + h + 10633 = 0, -2*u + o*h + 5319 = h. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176708.\nAnswer: 2, 3, 13, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19\/418*187*(-1856)\/(-272)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and 0.084.\nAnswer: 0.1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276835 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 81*a**2 + 12385*a + 39. Calculate n(-153).\nAnswer: 1263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g + 4*g**2 + 8*g**2 - 10*g**2 to the form u*g + n*g**2 + p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-195)\/6)\/(-13))*((-6370)\/(-7748))\/49.\nAnswer: -1\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 2\/5 (c) 0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 14693*t + 176165. What is n(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1574965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 19 = 3*l, 4*h - l - 5 = 0. Let b(i) be the third derivative of h*i**2 - 1\/180*i**5 + 1\/72*i**4 + 0 + 0*i + 1\/9*i**3. Factor b(n).\nAnswer: -(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x - 3*x)*(6*x - 4*x + 5*x)*(2*x + 1 - 1).\nAnswer: -70*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11056906*h + 740434 wrt h.\nAnswer: -11056906","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -9, 10, 0.5, 2, 4, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368931 is divided by 46116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 1. Suppose -3*i - 1 - 5 = 0. Let y(v) = 3*v + 3. Calculate i*b(q) - y(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287880 and 272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 0, 5*a + 6 = 4*j - 2. Let z = 7 - j. Calculate the remainder when z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24496 is divided by 982?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1628430 and 1545?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - -1887.7\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415, -426, -451, -496, -567, -670?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-10)\/((-3071)\/3070 + 1). Round m to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26721145471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 982, 1971, 2958, 3943, 4926, 5907, 6886?\nAnswer: 7863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 3*m - 6. Let i be g(-5). Let l(k) = -2*k + k**3 - 1 + 3*k**2 - 3*k - 2 + 0. Let p be l(-3). What is the highest common divisor of p and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*j*n*r + 70*g**3*j*r - 3*g**3*n*r**3 + g**2 - 3*g*j*r**3 + g*r**3 + 281*j*n*r**3 - 3*j*n*r**2 + 2*j*n*r wrt g.\nAnswer: -6*j*n*r + 420*j*r - 18*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -2\/95 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-6)*(57\/15 - 5). What is the second smallest value in 2\/7, -2, -2\/31, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24990\/(-60))\/(1\/((-6)\/(-3))). Let k = m + 850. Solve -w + 0*w = -4*t + k, 0 = 5*w - 5*t + 25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 747, 3012, 6861, 12354, 19551?\n\"Answer: 10*r**3 + 732*r**2 - r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 743917 at least 744458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w - 3317. Let u(m) = 4*m + 3325. Determine -6*d(a) - 7*u(a).\nAnswer: 2*a - 3373","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13690*d + 1191 wrt d.\nAnswer: 13690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/80)\/((-2)\/(-12) + 2\/6). Let l(y) = 2*y**3 + 2*y**2 + 8*y + 7. What is l(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j + 25. Let u(f) = -4*f + 6. Let l = -145 + 18. Let g = l - -118. Calculate g*u(a) + 2*t(a).\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -129*-15.8\nAnswer: 2038.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 72451173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + 186. Let f = j - 2785\/11. Which is the nearest to 10? (a) 5 (b) 0.5 (c) f (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 5*i - 3. Let y(u) = 2*u**2 - 8 - 11 - 4*u + 30 - 9. Determine -3*g(c) - 4*y(c).\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4417?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25687 = -142*b - 306*b - 17321 for b.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21767 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) 5 (b) 3\/4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1525693 or -1525705?\nAnswer: -1525693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**7\/5040 - r**6\/180 + 143*r**4\/6 + 2*r - 75. Let k(f) be the third derivative of p(f). Determine g so that k(g) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 282781803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2610 - 215 = 0. Suppose -x + 6*x + 3*a - r = 0, 4 = -2*a. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16\/9 - -22\/9. Let v be 3\/9*(-33)\/15. Let z = -2\/5 - v. What is the nearest to g in z, -2\/11, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 24*c - 11*c - 11*c. Let j(p) be the second derivative of 2*p**3 - 58*p. What is j(o(x))?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4220105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42876 by -397.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m - 3*m - 3*m. Let i(b) be the third derivative of b**5\/20 + b**2. Calculate j(i(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 19*n + 22. Let q(l) = -l**2 + 6*l - 3. Let o be q(5). Suppose o*k - 140 = -5*k. Let s be d(k). Solve 3*g = s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 1 - 2 + 0*u + 3*u + 3*u. Let z be q(5). Suppose -3*r - 2*r + 19 = x, -3*r - 3*x = -9. Solve -r*t + 18 = -z*g - 2*t, 5*g + 12 = -t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478545.\nAnswer: 3, 5, 61, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20565 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -18. Let u = -13 + h. Put u, -2\/9, 4 in increasing order.\nAnswer: u, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 17 (b) 2\/13 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gleegehhehkew. What is prob of sequence hh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 31*g - 66 = -2*q, 5*q = 2*g + 146. Calculate the highest common divisor of 350 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26423819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -142556.37592 rounded to the nearest one hundred?\nAnswer: -142600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 938, 1470, 2054, 2690, 3378?\nAnswer: 4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.30734 rounded to one decimal place?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -15*s**2 - 66*s = 0.\nAnswer: -22\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-81))\/(2\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}