{"text":"Question: Divide -239520 by -16.\nAnswer: 14970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4453874 is divided by 5197?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -4*x. Let u(t) = -35*t - 8. Let g(a) = -1364*a - 310. Let m(o) = 4*g(o) - 155*u(o). Calculate j(m(f)).\nAnswer: 124*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 5:39 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2886, -2874, -2848, -2802, -2730, -2626, -2484, -2298?\nAnswer: -2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 6*c - 4 = 0. Let k be (-3)\/(c*(-3)\/27*3). What is the hundreds digit of (-6)\/k - (-377)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 + 5 + (-33)\/7)*-742. Let n be 7\/(28\/u) - -2. Let q = n + -133. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6*((-8)\/6 - -1). Let a be ((-1)\/3)\/(13\/(-195)). Solve -t + d + 9 = -5*u, -5*u + a*t = 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -13823*j - 278530. Determine q(-20).\nAnswer: -2070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44848 is divided by 252.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o**3 + 16*o**2 - 4965*o + 49842. Give v(10).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -251010 minus -49492?\nAnswer: -201518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**4\/6 + 3799*f**3\/6 - 98267*f**2\/6 + 637637*f\/6 = 0 for f.\nAnswer: 0, 13, 3773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 46, 99, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 82531*j*m**2 - 159*j - 3*m**2 + m - 1664526 wrt j?\nAnswer: 82531*m**2 - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6146468941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25451\/21 - 3611\/3. Let q = k - 8. What is the smallest value in q, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -861670 divided by -5.\nAnswer: 172334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/9 + 1\/(-3). What is the third smallest value in -2, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 51\/35?  (a) 5  (b) 0.1  (c) -0.4  (d) -0.367\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 14 + 26. Let w be -41*-2*(-2)\/(-4). Let u = w - b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 5*b - 0*j + 15, -b = j - 3. Solve 5*c - 25 = -b*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/1298 and 155\/132?\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -846\/341 - 2\/31. What is the nearest to 2 in -0.5, i, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 46*j**3 + 2*j**2 - 5*j + 2. Suppose 10 - 6 = 2*d. Let r be s(d). Let i = -161 + r. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (56\/(-10))\/(5322\/(-17740)*2\/3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -5, -16\/11, 1\/4 in decreasing order.\nAnswer: 1\/4, -16\/11, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -4 - -6 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-4\/5)*u*u**(-2\/23)*u*u*(u*u**3)\/u*u**2*u assuming u is positive.\nAnswer: u**(933\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddqdyuydddddduud. What is prob of sequence ddqd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 13*w**2 + 28*w + 339. What is the units digit of d(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1463644 is divided by 86093?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 202, 981, 2856, 6355, 12006, 20337, 31876, 47151?\nAnswer: 66690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2669  (b) 0.06  (c) 1\/20  (d) 5  (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7468 is divided by 1493.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8556 - 8562. Put 3, j, 19, 11 in decreasing order.\nAnswer: 19, 11, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -6 - (-2 + (-11 - -13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 62*c**3*o**4 + 10*c**3*o**2 - 18*c**3 - 3*c*o**5 wrt o.\nAnswer: 1488*c**3*o - 180*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 6*w = -15. Solve -5*l + 0 = -3*c - 3, -7 = w*l - 4*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 45*g + 9. Let p(h) be the third derivative of 67*h**4\/24 + 13*h**3\/6 - 203*h**2 + h + 7. Determine -7*a(w) + 5*p(w).\nAnswer: 20*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 28*x**3 - 7594*x**4 + 55*x**3 - 116*x**3 + 33*x**3 + (x**3 + 3*x**3 + 0*x**3)*(2 - 2*x - 2) as a*x + o*x**3 + j + m*x**4 + s*x**2 and give m.\nAnswer: -7602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/18 and -44\/3525.\nAnswer: 21150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -4*u + 4*u - 4*u**2 + 5*u**2 - 4 + 4*u. Let b be p(-5). Is 4 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (((sqrt(13) + sqrt(65)\/sqrt(5))*-2 - 1*sqrt(52)\/sqrt(4))*-3 + -2)*-4)*-4)**2.\nAnswer: -5760*sqrt(13) + 748944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-7 - -6) - (40 - ((6 - -1) + -1))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -4*k + 2*k - 1, 7*h + 2*k = -9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q - 8*q - 14*q + 4233439 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 48089700 and 48089698 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 2:25 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61, -352, -1113, -2578, -4981, -8556, -13537, -20158?\nAnswer: -28653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (18\/(-9))\/(4\/(-6)). What is the first derivative of -5*k + a*k - 6*k + 2 - 18 wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/13)*t\/t**0)\/((t\/(t*t*t**(2\/11)\/t)*t)\/t**(-6)) assuming t is positive.\nAnswer: t**(-854\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -4*p + 16. Let n be w(-13). Let x = n - 52. Calculate the lowest common multiple of x and (3 - (1 - 2)) + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 4*k**4\/5 - 772*k**3\/5 - 1564*k**2\/5 + 772*k\/5 + 312 = 0.\nAnswer: -2, -1, 1, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h**2 - 53812*h - 161400 = 0.\nAnswer: -13450, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4 = -16. Suppose 3*l = 18 + 15. Find the first derivative of l - 15 + 10 - 6*r**t wrt r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63859 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -6158 and -1547.\nAnswer: -7705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - b = 19 + 3, 3*b - 24 = -3*u. Solve -u*h + 8 = -6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 56891*w = 56893*w - 41, -4*v + 6*w - 126 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u - 4*u + 1 + 4*u. Let r(v) = -v**2 - 3*v - 3. Suppose 0 = -5*w - 3*l - 20, -l - 14 = 4*w + l. Determine w*r(k) - 3*x(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 37736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 6 - 19*k**3 - 12.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + 3*t**2)*(-7*t - 7111*t**2 + 7239*t**2 + 14*t).\nAnswer: 384*t**4 + 21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**2\/9 - 188*h\/3 + 4418 = 0. What is h?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 + -45)*(-2)\/(-2). Let d = j + 63. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**4\/4 - i**3\/3 - i - 3. Let l(z) = 7*z**3 + 2*z**2 + 4. What is -l(p) - 5*m(p)?\nAnswer: -2*p**3 + 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(6\/23))**(-6) assuming p is positive.\nAnswer: p**(-102\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + w - 570, -365 + 89 = 2*y + 4*w. Let r be (y\/(-5) - 0)\/((-6)\/30). Round r to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i**3 - 21*i**2 - 52*i - 43. Determine s(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11 + -3322?\nAnswer: -3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1287 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 436 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37 - -7. Find the common denominator of 59\/2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1331567183.\nAnswer: 5281, 252143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 1. Let x(z) = z - 3. Let j be x(r). Sort 0.3, -0.2, j.\nAnswer: j, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 - 2.1. What is the second smallest value in t, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1965646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9802*y + a + 38 = 9806*y, 3*a + 34 = 4*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 0.17563, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1973345370 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + -181?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 8*l**2 + 7*l + 2. Let m be f(-7). Let u be 3\/(-6) + 1\/(2\/m). Factor -u*k - 1\/4*k**2 + 7\/4*k**5 - 19\/4*k**4 + 15\/4*k**3 + 0.\nAnswer: k*(k - 1)**3*(7*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2994 + 7071. Does 27 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7  (b) 0.1  (c) -6  (d) -1  (e) 0.5  (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 64 - 61. Suppose -4*v = -5*u - 1608, 0*u = -n*v + 5*u + 1206. List the prime factors of v.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-3))\/2*5\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*x + 13*x - 14 - 6*x)*(-40*x**3 - 9 + 9).\nAnswer: 40*x**4 + 560*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1676, 3458, 5300, 7196, 9140, 11126?\nAnswer: 13148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/4*(7\/(-2))\/(-7).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10.3 - 4.5. Let v = x + -6. What is the third biggest value in 5, -3\/4, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -1\/20.\nAnswer: -5, -2, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13 - 19 - 14*b**2 + 1 + 7 - 2*b**3 - 32*b.\nAnswer: -2*(b + 2)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40, 45, 48, 43, 24, -15?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from jrm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -f**5\/20 - 2*f**4\/5 - 31*f**3\/30 - 6*f**2\/5 - f + 990. Factor v(d).\nAnswer: -(d + 1)*(d + 3)*(5*d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -5*d + 3004, -3*u = 5*d - 5*u - 3008. Let w = 1068 - d. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**5\/6 + 13*p**4\/6 + 20*p**3\/3 + 6*p**2.\nAnswer: p**2*(p + 2)**2*(p + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 82*t**7\/21 - 4*t**3\/3 - 3*t**2\/2 - 543*t. What is the second derivative of g(q) wrt q?\nAnswer: 3280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 2*j**2 - j + 4. Let d be p(0). Let b(o) = -2*o. Let i(x) = 3*x + 1. Let v(u) = -13*b(u) - 6*i(u). Does 13 divide v(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -32 in -5\/3, -1, 1, 1\/2, -1\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/13)\/x)\/x)**(3\/37)*(x*((x**(-18)\/x)\/x*x)\/x*x*x)\/x**(-19) assuming x is positive.\nAnswer: x**(878\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -188, -139, 12, 319, 836, 1617, 2716, 4187?\n\"Answer: 9*t**3 - 3*t**2 - 5*t - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3974, 3921, 3762, 3443, 2910?\n\"Answer: -9*b**3 + b**2 + 7*b + 3975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32931977, 32931989, 32932001, 32932013, 32932025?\nAnswer: 32932037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - -0.52?\nAnswer: 22.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 466782.\nAnswer: 2, 3, 77797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f, 1 s, and 1 o when four letters picked without replacement from {f: 2, l: 1, s: 4, o: 1, t: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by (-2)\/4 + 69\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -78 - -77.99845. What is f rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 7 - 2)*(-2*p - 4*p + 7*p) + 0*p - 2*p - 12*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13483727?\nAnswer: 23, 313, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eez. What is prob of sequence zz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 - -3.939132.\nAnswer: 3.739132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -254*f*z**3 - 2*z**3 - 15 wrt f?\nAnswer: -254*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/(-63))\/((-6)\/((-126)\/7))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 686074732 a multiple of 6222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 37a6a26 - 1?\nAnswer: 37a6a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 b, and 1 v when three letters picked without replacement from {r: 2, z: 1, a: 7, b: 1, v: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15416 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*j + 143*j = -27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -6, -8, 30, -147.98?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -174*h**3 - 49*h**2 + 4*h + 51. Is d(-5) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(1 - 2)*(4 - 4). Suppose -o = 4 + 4. Let k be m + -3 + (-44)\/o. Which is the third biggest value?  (a) k  (b) -0.1  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -1 - (-10 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 2 = k, 4*k - 2*d - 8 = -18. Let j be ((-5)\/(-15))\/((-3)\/81). Put k, 1, j in increasing order.\nAnswer: j, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - -23 - 9) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057) + -6*sqrt(2057)*-1 - (sqrt(2057) - (sqrt(2057) + -1 + 2)))**2 + (-5*(-1 + (sqrt(17) + sqrt(17) + sqrt(153))*4))**2.\nAnswer: -846*sqrt(17) + 270819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 times 2305768\nAnswer: -46115.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -145 - 174d1?\nAnswer: -17636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1596 + 34*w - 2*w - 1592 + 3188.\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in 0.4, -0.197, -3\/26, 3, 46\/3?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/5536 and 81\/21452.\nAnswer: 171616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -157c0 - 1?\nAnswer: -157c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (74*k + 113*k - 256*k + 500*k + 23*k)*(-29 + 29 - 58*k + (-3*k + 5*k - 3*k)*(-6 + 4 + 0)) to the form b*k + i*k**2 + p and give i.\nAnswer: -25424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 4*f**3 - f**2 + f. Let o be c(1). Suppose -l - l = 2*x - o, 9 = 3*x + 2*l. Suppose u = -0*u. Solve y = -2*p + x, -y + 6*y - 15 = u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134347721 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooooooonnooooooooonn. What is prob of sequence non?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 + 68079*i + 885534.\nAnswer: -3*(i - 22706)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1310239*r**2 + 2*r + 16804937?\nAnswer: 2620478*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-21) - (-66)\/(-14). Let q(x) = x + 7. Let t be q(-5). Suppose 0 = -t*u + 4*u. Sort u, y, -1 in descending order.\nAnswer: u, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 140 - 16. Suppose -3*t + 4*y + 43 = -141, 2*t - 3*y - q = 0. Suppose -19*r + 11*r = -t. Solve -3*o + r + 5 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.9814, 4, 0.3, -9?\nAnswer: 1.9814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626206533?\nAnswer: 3, 23, 281, 32297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of v**5\/60 + v**4\/3 + v**3 - 2*v**2. Let n be z(-7). Sort 5, -2, n in descending order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.5, -0.4, 204, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -621*n**2 - 46 - 55 - 387*n**2 + 101.\nAnswer: -1008*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2413385 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16553366 (base 7) to base 15.\nAnswer: 221ebb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 - 3*j**2 + 2. Let k be q(2). Let i = k - -4. Let a be 0\/(-2) + 2\/i. Let p(x) = x - 1. Give p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14 + 3965*y**3 + 13 + 2156*y - 1057*y**3 - 27 wrt y.\nAnswer: 17448*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 363 - 363 - 598*i.\nAnswer: -598*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/145775 and -41\/8330?\nAnswer: 291550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-710)\/12)\/(-71)*1\/10*-21?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1101 - -1186. Calculate the remainder when o is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18.14 greater than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 210.3014km?\nAnswer: 210301400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3554, 7322, 11092, 14864?\n\"Answer: j**2 + 3765*j - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of -3*v**7 + v**4 - 3*v**3 - 2*v**2 - 128. What is the third derivative of q(a) wrt a?\nAnswer: -2520*a**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 32657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - 0. Let j = 318 - 331.3. Let f = -12.9 - j. What is the nearest to f in u, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -754.1 - -754. What is the second biggest value in 1\/3, 0.4, m, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -206, -647, -1392, -2447, -3818, -5511?\nAnswer: -7532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133*o**2 + 128*o**2 + 124*o**2 + 134*o**2 - 512*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-2\/3))\/f*f*f**(1\/6))\/(f**(-2))**23*(f**(-2\/7))**(-1)\/(f**5*(f\/(f*f**(-7)))\/f*f) assuming f is positive.\nAnswer: f**(1517\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - -638085?\nAnswer: 638085.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -637 + 928. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 27009.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/3018 and -49\/20?\nAnswer: 30180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62, -98, -136, -176, -218, -262?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10005 and 2415.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 169*s**2 - 89*s**2 - 1 - 52*s**2.\nAnswer: 28*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27*g**3*l**5 - 2*g**3*l - 5*g**3 + 8*g**2*l + 10*g*l**2*n - g*l*n wrt l.\nAnswer: -540*g**3*l**3 + 20*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7025.29 millennia in years?\nAnswer: 7025290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 450 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*p + 55 = -60 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*t**3 - 111*t**3 - 26*t + 51*t - 46*t**3 - 25*t.\nAnswer: -135*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from laal. What is prob of picking 1 a and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18.3 + 0.7. Let g = -14 + k. Which is smaller: 1\/4 or g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 25*j**2 - 807995*j - 60740250 = 0. What is j?\nAnswer: -75, 161974\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) - (sqrt(136) + sqrt(136) + (sqrt(136) - (sqrt(136) - -1*sqrt(136))))*-5)\/sqrt(8).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -116, -961, -3324, -7985, -15724, -27321?\n\"Answer: -130*h**3 + 21*h**2 + 2*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-9)*t**(2\/37))**44*((t**(-1\/3)*t)\/t)**(2\/57)\/((t**(3\/10)*t)\/(t**(2\/5)\/t)) assuming t is positive.\nAnswer: t**(-25025393\/63270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 2)*(0 - u + 0)*(-2 + 0 - 5).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -735.\nAnswer: 1\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 3*a + 1. Let o be (0 - -1) + (-2)\/(-1). Determine n(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*x, -7*s - 3*x - 32833 = -8*s. List the prime factors of s.\nAnswer: 2, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3351 - 1141 + 4520 + 3943 + 1663)*(-4*h + h + h).\nAnswer: -24672*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d*w**3 - 161626*d*w**2 + 2*d*w + d - 4522370*w**5 - 2*w**4 - 4*w**2 - 2 wrt w.\nAnswer: 6*d - 271342200*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = z - 4*g, 5*g = 3*z + 8. What is the third derivative of -1 + 18 + z - 189*w**3 + 6*w**2 - 12 wrt w?\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 3 + 0)*(-z - 1 + 1) + 1704 + 0*z - z - 2059)*(-2*z**2 - 3 + 3) to the form n*z**3 + q*z + c + g*z**2 and give g.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.8879 - -0.2339. Let i = o - -0.214. Let k = i - -3.2. Round k to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 48424 to the nearest 100.\nAnswer: 48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -3163077 and -12\/109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -56*l + 7*l + 490. Calculate the remainder when (3\/(-2))\/(2\/(-28)) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -13120.\nAnswer: -1\/6560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = o - 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*s**2 - 45*s**2 - 52*s**2 + 137*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q + 1. Let p = 50 + -45. What is d(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.02 - -0.01. Let h = p - 0.23. Let k = h - -0.1. What is the closest to -1 in k, 3, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zaz when three letters picked without replacement from {w: 3, n: 7, a: 1, z: 4, o: 4}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -44533 + 44527. Suppose -9 = -h + 2*w, -2*h + w + 7 = -2. Let m(b) = 5*b**2 - 5*b**3 - 5*b + 2*b**3 - 1 + 4*b**h. Determine m(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 347012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*l**2*t + 1657*l**2 - 556*l*t wrt t?\nAnswer: 2*l**2 - 556*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a day in seconds?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 570 - 9?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 16. Suppose s*n = -n + 10. Is n\/3 + 710\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 9:29 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**2 - 9002818*i. Let s(r) = 2*r. Determine z(s(t)).\nAnswer: 8*t**2 - 18005636*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -48.28 + 48. Let l = -0.38 - s. Let k = -202 + 202.5. Which is the nearest to -2?  (a) -2  (b) k  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 286*p**5 + 73466*p**3 + 5808062*p**2 wrt p?\nAnswer: 17160*p**2 + 440796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*x = 1081 - 4615. What is the third biggest value in 4, 2\/9, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 3*l + 5*q, l + 9 = 3*q - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122890?\nAnswer: 2, 5, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1787*x**2 - 5920*x.\nAnswer: 3574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4, -2, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.13, -3\/2, 5, -0.2, 3\/98, 4, -52?\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 644111\nAnswer: 2\/644111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/290 and ((-81)\/(-2))\/(-3) - (-1)\/1?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*t**5 + 852*t**4 + 3448*t**3 - 1632*t**2 = 0.\nAnswer: -4, 0, 3\/7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 3411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 20*j + 125. Does 15 divide c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/6 + -5*128\/(-120).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/6)\/((-2)\/(-15)). Let m(t) = -t**3 + 15*t**2 - 15*t + 14. Suppose 13 = 9*r - 113. Let c be m(r). Solve 4*x + 25 = j, c*x - 3*x + 10 = z*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -16 - 32. Let m(s) = -5*s + 2. Let t be m(u). Let n be 2\/(-5)*10\/t. Which is the biggest value?  (a) 3  (b) n  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*x - 106*x + 855 = 0 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -10. Suppose 0 = -4*d + d + 5*n + 90, -2*d + 4*n + 60 = 0. Suppose d*m - 13 = 29*m. Calculate the remainder when m is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + -2)*(-1 - -3). Let l be 3\/(-2) + (4 - (-1)\/s). Solve 3*u + l*u - 5*d + 5 = 0, 4*u + 3*d = 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of -14*r**2 + 0 - 1\/3*r**4 + 0*r**3 + 0*r. Let q(d) = 9*d. Let n(s) = 22*s. Let a(j) = 5*n(j) - 12*q(j). Determine a(t(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3830490 divided by -70935\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(1*sqrt(72) + sqrt(72)))\/(-2*sqrt(324) - sqrt(9)))\/((sqrt(48)\/(-1*sqrt(6) - sqrt(6) - sqrt(6)))\/sqrt(2)*3).\nAnswer: -12*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 12, 32, 52, 72, 92?\n\"Answer: 20*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = -2*r + 24 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -280 divided by 147?\nAnswer: -40\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-288)\/480)\/((-1)\/80855).\nAnswer: 3, 103, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3844421, 3844420, 3844417, 3844412, 3844405, 3844396?\n\"Answer: -w**2 + 2*w + 3844420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 386216532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 2.7, 62 in increasing order.\nAnswer: 2.7, 14, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.46 + 0.04. Let c = g + 1. Let m = -2 + c. What is the closest to -2\/13 in m, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 a when three letters picked without replacement from {n: 7, a: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*l**3 + 0*l**2 + 0*l**2 + 32*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 750 and -9.6884.\nAnswer: -7266.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320*n**3 + 52*n**3 + 94*n**3.\nAnswer: 466*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of 7*z**3\/6 - z**2\/2 - 19*z. Calculate the remainder when y(2) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20639997?\nAnswer: 3, 7, 327619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 56981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 16 - 64 = 0. Let q = b + -8. Let i(c) = -11*c**3 - 8*c**2 + 11*c - 3. Let f(h) = 7*h**3 + 5*h**2 - 7*h + 2. Determine q*f(t) + 5*i(t).\nAnswer: t**3 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - (-35 + 14 - (2 - -13)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*v = 4*v - 264. Find y, given that 6*y**2 + 7*y**3 - 10*y**3 + 4*y**2 - 2*y**4 + v*y**3 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {f: 8, u: 1, n: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, -4\/3, 55354?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**2 + v**2 + 2*v + 2*v**2. Give y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1206867 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 164708 (base 9) in base 12?\nAnswer: 4ab82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 - 286789400*z - 20562039988090000.\nAnswer: -(z + 143394700)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (82\/((-2870)\/(-2205)))\/((-6)\/(-2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6*(-3 + (-44)\/(-12)). List the prime factors of (-201)\/(-12) - (-3)\/d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 0.04984\nAnswer: 0.19936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-231)\/(-14)*(-298)\/(-447).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (14*2\/(-8))\/((-27)\/(-54))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -282*j - 183. List the prime factors of w(-10).\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 6*g - 25 = 0. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26777529 by -2.\nAnswer: -26777529\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 5*v - 39, u = 2*u + 5*v - 9. Let y(k) = k. Let f(j) = -13*j - 2. Let o(m) = u*y(m) - f(m). Let z(g) = -217*g - 63. Determine -63*o(l) - 2*z(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 147.99708 + -148. Round u to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -498570 + 68802215\/138. Let t = -5\/46 + q. Which is smaller: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of -d**4\/4 + d**3 + 3*d**2 - 5*d - 1. Let k(s) = s**2 - 9*s - 9. Let o be k(10). Suppose o + 11 = 3*r. What is a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5834\/7 + 833. What is the closest to 1 in y, 0.1, -2, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*(-1*sqrt(1008) + 3))**2 + -1 + (5 + sqrt(1008)*-1*2)**2.\nAnswer: -528*sqrt(7) + 8124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from eiii?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 0.13  (c) 67\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -147408 by -18426.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -323*o - 210*o + 726 - 725.\nAnswer: -533*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2 + 11721*r - 11025486.\nAnswer: -3*(r - 2329)*(r - 1578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + 7*i + 37. Let b(n) = 6*n - 67. Let s be b(9). What is the units digit of f(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61, -70, -101, -166, -277, -446, -685, -1006?\nAnswer: -1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 575859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 5 - 4*i + 7*i + i - 4*i**2. Let u be n(-5). Let k be ((-4)\/35)\/((-4)\/u). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -103 + 105. Solve 2*m + 7 = 3*m + t*w, -5*m - 5*w = -15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by 328.\nAnswer: -13\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54674.4 + 362835354.\nAnswer: 362780679.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -l + 3*g + 12, -3*g - 32 = -4*l. Suppose l*o = 96 + 11089. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.05 - -3.15. What is the third biggest value in -2\/3, -0.3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + 1\/(-3) + 153428406\/6318. Let k = j + -24284. Let l = -43157\/8424 + k. What is the common denominator of -89\/2 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 3:41 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2152899 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -y + 5*d + 20, 2*y + 4*d = -2. Suppose -5*g = 4*b - 117, -g = -b - y - 13. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -2\/238565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 85 - 64. Calculate the smallest common multiple of 56 and x.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (202\/2*-1)\/((-1)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 62.5299 and 0.0512.\nAnswer: 3.20153088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -8. Let p = -129 + -77. Let c = -2268\/11 - p. What is the biggest value in c, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/81  (b) -0.3  (c) -6\/7  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-15)*(-5)\/(-4). Let c(v) be the first derivative of v + 0*v**2 + 0*v**3 - 2 - b*v**4. Differentiate c(r) with respect to r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3630)\/(-44)*52\/6. List the prime factors of g - 0 - (-41 + 38).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/64190 and -107\/606130.\nAnswer: 79403030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4143 is divided by 1352.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-3)*h**(-7))**3 assuming h is positive.\nAnswer: h**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of 9*g**2 - 33 - 1\/9*g**3 + 1\/180*g**5 + 0*g - 1\/72*g**4. Let r(v) be the second derivative of p(v). Factor r(l).\nAnswer: (l - 2)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 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 the value of (((-420)\/75)\/28)\/((-3)\/330*28\/154)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**3 - 32*s**2 - 35*s + 26. What is m(-15)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, q: 8, e: 9}. What is prob of sequence eew?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -j**2*r**3 + 6*j**2 + 141*j*r - 685*r**4 wrt r.\nAnswer: -6*j**2*r - 8220*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 32, 29, 16, -13, -64, -143?\n\"Answer: -l**3 + l**2 + l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (170\/34)\/((-3)\/(-2238)).\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1375187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 37251114337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 2*z, -5*c + z + 2*z - 2 = 0. Let w(f) = -f**2 - 27*f - 51. Let g be w(-24). Suppose -k = 25 - g. Sort c, k, 1 in descending order.\nAnswer: 1, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 - n - 4. Determine u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of 0 + 1\/15*z**5 + 5\/8*z**4 + 1\/360*z**6 + 0*z + 25\/9*z**3 + 42*z**2. Suppose y(s) = 0. Calculate s.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4657323.06 - -3.462.\nAnswer: -4657319.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -6824, -13664, -20530, -27434, -34388?\n\"Answer: -2*x**3 - x**2 - 6823*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1209487588 + 1209487560.99999983. Let k = 27 + o. Round k to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of 7*w**4\/4 - w**3 - w**2\/2 - 2*w - 21. Let v = 8 - 6. Let m be h(v). Is 39 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 213 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 143*w**3 + 135*w**2 + 7*w + 7. Let d(s) = 21*s**2 + s + 1. Determine 7*d(b) - x(b).\nAnswer: -143*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-4*(-10)\/(-16))*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0366 or 0.4?\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 59\/(-30) + (0\/(-63) - (-8)\/10)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20*b**5 + 302*b.\nAnswer: 400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7330 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -12792*t - 12. Let p be j(-1). Suppose -44*a = -29*a - p. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3520490151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2770210*u**2 - 3820356*u wrt u?\nAnswer: 5540420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71009 is divided by 263?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g - 8*g = -4. Let u(x) = 4*x**3 + x**2 + 5*x. Let v(m) = -2*m**3 - m**2 - 2*m. What is g*u(i) - 9*v(i)?\nAnswer: 2*i**3 + 5*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 1286.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 94\/54747 and 47\/993267?\nAnswer: 6952869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1195*z**2 + 188*z**2 + 304*z**2 - z + 40*z**2.\nAnswer: 1727*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 43.625 days?\nAnswer: 62820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -4*w + 1, -2*l + 7 = 3*w. Calculate the least common multiple of 7 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15098*v**2 + 4896*v wrt v?\nAnswer: 30196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2105 - 2?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -6236, -6219, -6202, -6185?\n\"Answer: 17*x - 6253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ybqyqqqyqjydqdnyq. What is prob of sequence nj?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 0.53?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 166499961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 627\/456 - 30\/48?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 201\/560 - -17\/80. Which is the second biggest value?  (a) 1.8  (b) j  (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/1*-1)\/((-75)\/(-500)). Let o be -5 + 1\/((-5)\/u). Solve -o + 9 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 462\/63 - 1\/3. Let g(n) = 5*n**2 - 8*n - 15. Let w be g(f). Suppose 37 + w = r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**5\/5 + 63112*n**4\/5 - 631211*n**3\/5 + 568098*n**2\/5 = 0. What is n?\nAnswer: -63122, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j + j + 0*j + (2 - 2 + j)*(1 + 4 - 3) - 38 + 170*j - 76*j - 83*j to the form k*j + q and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -1*(-1 + 2) - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t + 24*o = 5*t - 11*t + 37, 0*t - 2*t - 24 = 2*o for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -31, 0.3, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + 1 - (-23 - -3 - (-22 + 0)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {s: 7, d: 4, n: 1, z: 1, k: 3}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2. Let w(f) = 4*f - 8*f - f - 4*f. Give w(c(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/14)*j)**(-19\/4)*j**(-4\/21)\/j*j*j**(-1\/4) assuming j is positive.\nAnswer: j**(-815\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 15\/(-15) - 6\/(-2). Suppose 2*o + k*o = 0. Suppose 3*p - 8 = 7, 2*y - 3*p + 23 = o. Put 5, y, -5 in decreasing order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -8.4  (b) 1  (c) 21095  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w + w - 1 + 9 + 6. Let h = -34 + 46. Let q be x(h). Solve -5*v = -t - 16, 0*v - q*v = -8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37245389 rounded to the nearest one hundred thousand?\nAnswer: -37200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 + -4 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.04 and -4313863.14?\nAnswer: 4313863.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 1:46 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 86930 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -454*g - 12. What are the prime factors of r(-4)?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34134 is divided by 611.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/100 and 37\/5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + t = -3*t - 469, -278 = -3*p - t. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16061 is divided by 2293.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 17*q + 5. Let d be h(4). Suppose 0 = -3*m - 1 + d. Let g(j) = 69*j**3 + j. What is the remainder when g(1) is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b + 154 = -4*b. Suppose 14*m - 330 = -b. Calculate the remainder when 125 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -54 greater than or equal to -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 55777 + -123?\nAnswer: 55654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide ((-8)\/(-3))\/(8\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09273 less than -0.32?\nAnswer: -0.41273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 115 and 2962745?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(57)\/sqrt(3) + 0 - sqrt(19))*6)**2 + (-2 + sqrt(304) - sqrt(304) - (sqrt(95)\/sqrt(5) + 0)**2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 26938.11ms in nanoseconds?\nAnswer: 26938110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d**2 - 7*d - 9. Let x be g(8). Suppose n - x = -4*h, 4*h - 79 = -5*n - 20. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.093 * 85.29.\nAnswer: -519.67197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -120191 + 266223059\/2215. Let q = o + 12859\/4430. Calculate the common denominator of -25\/11 and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1503 rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36*-18776409.\nAnswer: 675950724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 606.22km?\nAnswer: 60622000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -221 equal to -248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 22*h*y**3 - 2*h*y**2*z**2 - 2*y**3*z**2 + 2*y**3 + 20*z**2 wrt h?\nAnswer: 22*y**3 - 2*y**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 4940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9532622 to the power of 1\/2, to the nearest integer?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 100 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2644, 10127, 22612, 40105, 62612, 90139, 122692?\nAnswer: 160277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 + 292 = 63*q + 2617 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (283\/((-202911)\/2390))\/(2\/(-75))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 7*p + 3. Suppose -4*z + 21 - 1 = 0. Give h(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 - 36. Let a = 18 + c. Suppose a*l = 10, 5*l - 40 = -3*o + o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 357 + 1 + (3 - (1 - -3)). Let t be (-34)\/c + (-762)\/(-63). Solve 0 = 8*l - t - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 12) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 - 16. Let x(p) = 20*p - 7. Calculate the remainder when x(r) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80603204 is divided by 124196.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0621017, -0.2, 66.\nAnswer: -0.2, 0.0621017, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -53.3 + 51. Let g = d - -1.4. Let u = g + 0.8842. Round u to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 228 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19726348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -5*d**3 - 75*d**2 + 19*d + 196. Let a be m(-17). Calculate the highest common factor of 63 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-4) - 126\/(-24). Let s(n) be the second derivative of -5\/2*n**2 + 0 - 5\/6*n**b - 1\/12*n**4 - 10*n. Give s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 10:55 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three thirds of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -74 = -808\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 51952068 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-1 + 171\/133)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -154 + 275. Suppose 4*k + 3*p = q + 2, 5*p - 65 = -2*k. Suppose -4*z + 5 = 21, 4*z = d - k. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2340 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z + 5. Let o be a(4). Let d = 0.02354 + 0.00646. Sort 0.2, d, o in decreasing order.\nAnswer: 0.2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 209576*s - 1676754. Determine x(8).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5\/3  (b) 0.1  (c) 227.01  (d) -3  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 4. Let p be f + 1 - 4\/(-2). Let y = -4 - -4. Solve 2 = -p*l - y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - 23) + -3 + (1 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 4*x**2 - 13*x - 9. Let v be c(-6). Let w be (-9)\/v - 4 - 0. Calculate the common denominator of -57\/2 and w*4 + 55\/(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*r + 32*r**3 - 23*r**3 - 15*r + (-3 + 0 + 1)*(2*r**3 - 5*r**3 + r**3) + 2*r**3 - r**3 + 0*r**3.\nAnswer: 14*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.551638693 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*k**2 - 79*k**2 + 43*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*m**4*t*u - 2*m**4 + 25*m**3*t*u**2 + m**2*t*u**2 - m**2*u**2 + 2*m**2*u - m*t*u wrt m.\nAnswer: 72*m*t*u - 48*m + 150*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of q**5\/5 + 2*q**4 + 7*q**3 + 11*q**2 + 8*q + 30. Solve m(g) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*q + 2*q + q)*(3*q - 3*q + q**2 + (2*q**2 + 3*q - 3*q)*(-4 + 5 + 0) - q**2 - 4*q**2 + 3*q**2) as m*q + x*q**3 + a + f*q**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-14)*w**(-2\/23))\/(w**(1\/15)*w**0) assuming w is positive.\nAnswer: w**(-4883\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -18\/4978639?\nAnswer: -18\/4978639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -5654 greater than -5654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 274 - 35.52.\nAnswer: 238.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 6:53 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -785*f. Let i(u) = -15*u**2 + 57*u + 4. Give j(i(y)).\nAnswer: 11775*y**2 - 44745*y - 3140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 241065.\nAnswer: 3, 5, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k + k + 15*k)*(-2*k + k**2 + 2*k) + 18*k**2 - 18*k**2 + 45*k**3.\nAnswer: 65*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + -7 + 7 + 5 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.291047km in nanometers?\nAnswer: 291047000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, r: 2, k: 2, o: 8}. What is prob of picking 2 k, 1 r, and 1 s?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 78 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 9*y + 1. Let m be j(9). Let s(d) = 4*d**3 - 2*d**2 + d. Let a be s(m). Solve 4*v + 17 + a = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - 5*1\/9. Suppose 143 = 73*r - 3. Factor -4\/9*q + 0*q**r + f*q**3 + 2\/9*q**4 - 2\/9.\nAnswer: 2*(q - 1)*(q + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*50\/40*(-12)\/75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 88, 207, 212, 49, -336, -997, -1988?\n\"Answer: -9*y**3 - 3*y**2 + 191*y - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 730\/9 - 81. Let o = -2 + -1. What is the nearest to -1 in -3\/4, o, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -20437 - 0?\nAnswer: -20437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/33 and -1\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 134*f**2\/3 + 2578*f\/3 + 608\/3.\nAnswer: 2*(f + 19)*(67*f + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/(-2))\/(-44))\/((285\/(-40))\/19).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -0*i - 6, -f - 4 = -i. Let t(d) = -3*d**2 + 3*d + 4. Let h be t(3). Let y = f - h. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32000133 (base 4) to base 11\nAnswer: 3a11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 + 92*w - 512. Let f be r(6). Solve 3*v + 3*j = 21, -5*v - f*j + 18 = -6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 381480 is divided by 95369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 202561036 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -499 and -1511066.4342.\nAnswer: -1511565.4342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*i**2 - i**2 - 3*i**2 - 2*i**2 + 0 + 0 + (-6 + 0 + 3)*(i**2 - 4*i**2 + i**2) to s*i + q + m*i**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 + c - 3. Let z be t(-4). Solve 0 = z*o - o + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13324 is divided by 5663.\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 103200966 a multiple of 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 26170448719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/(-2)*2024\/28520*(-5)\/1. Which is the third biggest value?  (a) r  (b) 1\/4  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/10)\/(16\/(-80)). Suppose 0 = 5*s - 4*d - 436, -3*d = 4*s - m*d - 351. Let u = s - -61. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 52, 97, 188, 337, 556?\n\"Answer: 2*s**3 + 11*s**2 - 2*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 9, p: 5}. What is prob of sequence nn?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3048*v - 6 = -3046*v - 2*c, 3*v = 4*c - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*k - 38 = -150. What is the fourth smallest value in k, -3, -0.4, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, 9, 4, -4, 8.\nAnswer: -42, -4, 4, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-20))\/(7*6\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*w + 125 = -7*o + 5*o, 2*w + 2*w + 173 = 4*o - 7*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -40*v**3 - 69*v + 17. Let x(y) = -14*y**3 - 23*y + 6. Give 6*a(i) - 17*x(i).\nAnswer: -2*i**3 - 23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3633 + 44. What are the prime factors of g?\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*p**3 - 2*p - p**3 - 3*p**2 - 4*p**3)*(49*p - 26*p + 100*p).\nAnswer: 246*p**4 - 369*p**3 - 246*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -103, -161, -249, -379, -563, -813?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 86  (b) -1\/4  (c) 0.5  (d) -0.068  (e) 2807\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 199766 = 2*o, -130156 = -3*o - 2*u + 169509. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27756 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**9\/60480 - l**8\/20160 - l**7\/5040 + l**5\/20 - 5*l**2. Let f(n) be the third derivative of m(n). Give f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hyyhryeyryhryrrrh. What is prob of sequence yyh?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -169 - -172. Solve -j = -b - 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, d: 1, k: 5, e: 3, g: 1}. Give prob of sequence kg.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.216 + -151.216. Let t = p + 149. Which is the second smallest value?  (a) 6\/7  (b) t  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 38\/519 in -0.1, -5, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2867687 is divided by 1106.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*w + 4744 - 4132 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -99860.\nAnswer: -1\/19972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43 + 93. Suppose -2*o + y = 6. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of 0*x**4 + 1 + 0*x - 6*x**2 + 1\/60*x**5 + 1\/6*x**3. What is y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3*g - 18. Let r(i) = 1. Let m(s) = h(s) + 18*r(s). Let c(v) = v. Let d(n) = -4*n. Let a(x) = -6*c(x) - 2*d(x). What is a(m(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4640 * 3.\nAnswer: -13920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4003 + 8199. Does 47 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**0*t)**(1\/70)\/(t*t\/(t**5*t)*t*t*(t*t*(((t*t\/((t\/(t*t**(2\/19)))\/t))\/t)\/t)\/t)\/t))**(-48) assuming t is positive.\nAnswer: t**(-29472\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1280 and 119896960?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 206513.\nAnswer: 97, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of i**8\/840 + 2*i**7\/175 + i**6\/50 - 2*i**5\/15 - 13*i**4\/20 - 6*i**3\/5 + 5*i**2 - 155*i. Determine r so that h(r) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 + 356 - (1 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.36 + -1.26. Which is the third smallest value?  (a) x  (b) -2\/9  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*d - 1799 = -82*d + 169 + 6355 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -259232 + 135232. Round a to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -1\/2, 30, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -127 - -121?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*v**2 - 87*v**2 + 229*v**2 - 87*v**2.\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20538 and 252?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-1))\/((-105)\/(-245) - (-6)\/84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**14\/l*l*l*l*l*l**(-1\/6)\/l assuming l is positive.\nAnswer: l**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(0 - (-4)\/(-182)). Let l(o) = -3*o**2 - 2*o + 1. Let f be l(1). Let j be 2\/f - u\/2. Calculate the highest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**18*j**21*j*j*((j*j*j**(1\/6))\/j)\/(j\/(j**5*j)*j*j) assuming j is positive.\nAnswer: j**(271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence keo when three letters picked without replacement from {m: 3, o: 7, k: 3, e: 6}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 8. Let y be l\/2*-2*-2. Solve -y*h = h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1985226 (base 11) to base 5.\nAnswer: 1324020243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*(0 - (-8)\/6). Let v(p) = -p**3 + 3*p**2 - p. Let b(o) = o**3 - 4*o**2 + o. Suppose 4*r = 9 + 3. Give a*v(f) + r*b(f).\nAnswer: -f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0, -0.5, 8\/3, 1262\/7, -0.1?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 494 = -74*v - 542 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 + 456 = 5*v. Calculate the greatest common divisor of v and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - ((-8 - 8) + -2) - (-1 + -10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 469 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*c - 75*c - 760 = 0. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 5*s + 25. Let r(f) = -9*f - 54. Let x(g) = -7*j(g) - 3*r(g). Let a(t) = -9*t - 14. What is 6*a(y) - 7*x(y)?\nAnswer: 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 29026, 12 in decreasing order.\nAnswer: 29026, 12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63.53588 meters to centimeters.\nAnswer: 6353.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-92)\/(-322) - (-34)\/(-70).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 + 41 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -474*o - 783*o + 450*o.\nAnswer: -807*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 13*f + 13. Let a be q(-14). Let j be 4 + 2 + 0 + a. Solve -9 + 25 = 3*m - s, 0 = 5*m + j*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -5  (b) -0.6  (c) 0  (d) 3\/5  (e) -1  (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 913742?\nAnswer: 2, 456871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 132 and 88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 2  (b) 2\/1069  (c) 237  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -19*i**2 - 2643741*i + 445736964 wrt i?\nAnswer: -38*i - 2643741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11514, 22951, 34286, 45471, 56458, 67199, 77646?\nAnswer: 87751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*o - 46*o = 17*o - 200 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11412656 (base 7) in base 12?\nAnswer: 409682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95543 + 5305 = -2*f. Let v = 138119 - f. Round v to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 + 4*o. Let s be j(3). Suppose q - 2*q = s*w + 345, 0 = -4*w + 3*q - 447. Let x = -61 - w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 14*k**3*n + 29*k**2*n + 1031*n wrt k.\nAnswer: 42*k**2*n + 58*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = u - k + 154, 2*k = -3*u - 361. Is u smaller than -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 + 4*u. Let s be w(2). Let f = -19 - -30. Solve -5*l + f = -2*d, 0*l - 12 = -s*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-14) - 2\/4. Let w be ((-6)\/21)\/((-18)\/(-63)). Let t be (2 + 1)\/w - -3. What is the nearest to t in r, -3\/2, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i. Let t(z) = 3. Let b(g) = 168*g + 2016. Let f(q) = b(q) - 672*t(q). Calculate o(f(c)).\nAnswer: -336*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 + 22. Let y = 6 + -6. What are the prime factors of k(y)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 - -13. Suppose -5*j = -2*s - 31, 0 = 3*s + 17*j - 12*j - 41. What is the lowest common multiple of s and t?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 712\/(-56) + 2 - -11\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 2*y - 16, -2*i - 1 = -i - y. List the prime factors of 3 + -2*(i - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uluuiual. What is prob of picking 1 i and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -7004209.03 to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -4*k**5\/105 - 2*k**4\/21 - 2*k**3\/21 + 22*k**2. Factor o(x).\nAnswer: -4*(2*x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n - 4. Let m be q(3). Suppose -3*o = -a + 2*o + 12, -2*a - 4*o + 38 = 0. Let h = a + m. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 PM and 11:30 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 150885 (base 9) in base 14?\nAnswer: 25a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39559830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/2?  (a) -8\/55  (b) 4.15  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74 + 48*q**2 + 48*q**2 + 4*q**2 - 100*q**2 - 47*q**3.\nAnswer: -47*q**3 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 975260?\nAnswer: 2, 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -737538*d**6 + 20*d**3 - 3005*d**2 - 61*d - 6?\nAnswer: -88504560*d**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o - o + 3*o)*(206 - 112 + 169) in the form x*o + a and give x.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -612 - -10?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**2 + q**2 + q**2 + (0 - 2*q + 0)*(-6 + 9*q + 6).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*c**2 - 133*c**2 - 276*c**2 - 21*c**2 - 64*c**2.\nAnswer: -441*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/8)\/i**7)**19\/(i**(2\/3)\/i**0*(i**(-2\/7))**(-1\/8)) assuming i is positive.\nAnswer: i**(-22861\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1867, 7526, 16959, 30166, 47147, 67902, 92431?\nAnswer: 120734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1049.5 + 1047.5. Do c and -2687 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1251, -4986, -11203, -19896, -31059, -44686, -60771, -79308?\n\"Answer: n**3 - 1247*n**2 - n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5405861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1519219 and 299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 44.89064065 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 53461138 and 180490.\nAnswer: 267305690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 108 = 4*j, 3*m - 17 = -5*j + 81. Suppose 4*p + j = h, -5*h + 2*p + 59 = -p. What is the lowest common multiple of h and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of -1\/270*o**5 + 0*o + 0 + 0*o**3 - 22*o**2 + 0*o**4. Determine q, given that w(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4 and -8769.89.\nAnswer: -8773.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/1 + (-77 - -6). Let p = 198\/23 + -3731\/46. Let c = h - p. What is the nearest to -2\/3 in -0.5, c, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45499 + -45325.283. Let v = -0.283 - d. Let j = v - -181.9. Round j to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.010561 micrograms to grams.\nAnswer: 0.000000010561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 2, z: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 66 and 306?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 - 713305087777\nAnswer: -713305087777.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 145 - 145.00000222. Round q to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**4 - 8*a**3 - 18*a**2 + 27 = 0 for a.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, 3, -4, 2, 3310, -82, 4\/3.\nAnswer: -82, -4, 0.02, 4\/3, 2, 3, 3310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 760 and 8360?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1053?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 411 is divided by 105.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = n + 2178, 2*f + 15*n - 14*n - 1452 = 0. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 - 0) + -3 + 2 + 0 - (2425 - 2488).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w - 120 = -8*w. Suppose -3*z + w*t = 59110, 0 = -3*t - 0*t - 12. What is z rounded to the nearest 100?\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3051637 is divided by 75.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -23*m**2 + 17*m. Suppose -7*b + 136 = -3*b. Let a(j) = 2*j**2 - j + 4*j - 6*j**2. What is b*a(y) - 6*p(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.2?  (a) -5  (b) -12734  (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 85 - 59. Suppose -5*t + 81 - f = 5*h, -4*h + 54 = 2*t. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 32 = -3. Let o be 7*((-9)\/k + 1). Find the common denominator of -53\/18 and o + 1 + (-297)\/(-220).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 180\/360*7\/(126\/(-12))*48.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of -r**5\/20 - 3*r**4\/4 - 7*r**3\/6 + 8*r**2 - 10*r - 2. Determine w(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.79 in -14.51, 0.03, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 0. Let v = 4 - 5. Let p = 1 + v. What is the third biggest value in -3\/4, p, z?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -25*w**2 - 3346*w - 10047. Determine u(-3).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 2)*(2 + 3 - 4)*(213*h - 110*h - 115 - 101*h).\nAnswer: 4*h - 230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-76*k**2 - 167 + 167 - 2*k)*(4*k - 4*k - 2*k) to w + t*k**3 + u*k**2 + h*k and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 792 and 0.4802.\nAnswer: 380.3184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 812*v + 28 + 28 - 56 to the form q*v + p and give q.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 2*d - 16. What is b(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3 = -0*r - r, 3*w - 22 = 5*r. Let n be (-1 - r)\/((-69)\/23). Sort n, 2, 0.4 in increasing order.\nAnswer: n, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus 707920?\nAnswer: -707923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*3 + -4 + 14. Suppose -62 = -5*q + w. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 60647134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssrrssrsssss. What is prob of picking 3 s?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25*o**4 + o**2 - 82*o wrt o.\nAnswer: 300*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3531*u - 64423 = 730*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15058\/2925 + -16\/225. Let y = -488\/91 + g. Put -2\/5, 2, y in ascending order.\nAnswer: -2\/5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102581353.\nAnswer: 7, 37, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 18 - -5 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17704*f = -1874*f - 75226 + 773113 + 156933 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-550)\/(-77) - (-12)\/14*(-27)\/(-27). Solve 69 = k*p + 125 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-4 - ((-19 - -27) + 23)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184*n = -191*n + 266. Let t(d) = 46 - n - 37*d**2 - 8. Let z(h) = -9*h**2. What is t(z(f))?\nAnswer: -2997*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10335 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3725194027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1533254 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27.456141 microseconds to minutes.\nAnswer: 0.00000045760235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2252 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15.38 + -15.1. Let k = i + -1.01. Let z = k + -8.77. Round z to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/((2 - 4)\/(-6)). Solve 11 = -3*a + t, 4*t - r = 3*a + t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 24*o**2 - o + 3. Let x be y(-3). What is the common denominator of (-83)\/16*1 + 0 and (12\/(-16))\/((-33)\/x)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 133, 126, 119, 118, 129, 158, 211?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4*a + 1. Let o(i) = i + 9. Let y be o(-8). Let n be c(y). Suppose -13 = -4*w - n. Solve 0 = 3*d + 2*v + 2, w*v + 11 = 5*d - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4966*y - 878983. Give b(-177).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(5) + 3 + (sqrt(15)\/sqrt(3) - sqrt(5)))**2 - (-3 + 1 + sqrt(5))).\nAnswer: 5*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12061*i**2 + 5309?\nAnswer: -24122*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.2597773ml?\nAnswer: 0.0002597773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -429 + 426. What is the second smallest value in 22, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 12*t - 1 + 11*t + 10*t - 34*t. Let q be n(-3). Suppose -6 = -v - 5*v. What is the highest common divisor of q and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 223*0.5.\nAnswer: 111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 101832581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20662*r - 408941*r + 15874*r - 209168*r.\nAnswer: -622897*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6657.\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -178*d + 5. Let f(v) = -95*v + 3. What is 11*f(s) - 6*z(s)?\nAnswer: 23*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 63 = 7*q + 5*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o. Let t(i) be the first derivative of -4 + 0*i - 1\/2*i**2. Determine t(m(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26 - 10 - 2 + (-2 - 2 + 3)*(0 + 2 + 0))*(1 - 1 - 1)*(-2*p + 4*p - 3*p) to m + j*p and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.14243um in millimeters?\nAnswer: 0.01714243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 302 - 1207\/4. Which is the smallest value?  (a) s  (b) 0.2  (c) 0.0055  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 157749 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 321281 + -2262664\/7. Let j = i + 1965. Calculate the common denominator of j and 51\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 6*d - 32. What are the prime factors of n(13)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 41.2 in -0.1, -4, 1230?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 4:21 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 + 60 = -3*u, -62 = -4*l - 2*u. Solve 11*w - l + 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1120 - -1131. What is the remainder when 119 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -14456, -28045, -41656, -55289?\n\"Answer: -11*a**2 - 13556*a - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1823 + -0.3?\nAnswer: -1823.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k + 8. Let q be n(-6). Let z = 2 - 0. Suppose 0 = -0*x - 5*x, -z*x = 4*v - q. Sort v, -3, 0 in decreasing order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 63*y + 387. Let t be h(-6). Solve 0 = -4*f - 0*f + 5*g - t, -5*g + 50 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5 + (5 - 7) - (9 + 5)*-1. Let r(f) = 22*f - 90. What is r(l)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1191656 and 804?\nAnswer: 239522856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -6*u**3 - 5*u**2 + 2*u + 1. Let c be l(3). Let j = -80 - c. Let p be (0 - (-61)\/4) + (-2)\/8. What is the greatest common divisor of p and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or -2039\/3024?\nAnswer: -2039\/3024","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 5, p: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*d - 42*d + 6*d**2 + 15*d**2.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*r**2\/5 + 15033207*r\/5 - 3758301\/5 = 0 for r.\nAnswer: 1\/4, 1252767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15635383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 432, 286, 50, -276, -692, -1198, -1794?\nAnswer: -2480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 404496 divided by 36\nAnswer: 11236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + 13. What is the remainder when 50 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77635 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -y + 2*y**2 - y**3 - 96 + 40 - 51*y**4 + 24 + 33 as c*y**2 + p*y + g*y**3 + f + i*y**4 and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, 0.3, -0.09 in increasing order.\nAnswer: -31, -0.09, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201 = 2*q + 3*j, 2*q - 2*j = -299 + 73. Let y = q - -63. Let d = -9 - y. Calculate the highest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 1223*p - 48. Let u(b) = 407*b - 18. Determine 8*u(q) - 3*v(q).\nAnswer: -3*q**2 - 413*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -53.26 + 51. Let k = -100.74 + s. What is the second biggest value in 0.2, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 299922?\nAnswer: 2, 3, 7, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 781 - -4?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26240749*b**4 + b**3 + 41406918*b?\nAnswer: -314888988*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*f**5 - 998*f**4 - f**2 - 42*f + 3596 wrt f?\nAnswer: -100*f**3 - 11976*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**3 - 680*l**2 + 4612*l - 7824.\nAnswer: 4*(l - 163)*(l - 4)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 2*q - 5*q = 0, 3*h = -5*q + 29. Suppose 0 = 2*s + 4*t - 638, -h*s - 5*t = -342 - 616. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -945 (base 10) to base 8.\nAnswer: -1661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 8:05 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*c + 0*c - c)*(c**2 + 44*c - 53*c - 2*c**2) to the form b*c + m*c**2 + j + d*c**3 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8592 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -0*r - 3*r. Put -5, r, -2, 1 in descending order.\nAnswer: r, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 0*y = 0. Suppose -5*c - 2 = 8. Let w be -1 - -4 - (-4)\/c. What is the closest to -3 in w, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, 3\/22, 17\/95?\nAnswer: 17\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.2 + 5.7. Which is the closest to 3?  (a) 1  (b) q  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of 0 + 0*g + 1\/24*g**4 + 49*g**2 + 0*g**3. Let w(l) = 49*l**2. Calculate y(w(h)).\nAnswer: 49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 31376\/30 + -6 + 4\/30. Suppose 15*m - g = 2*m. Calculate the remainder when m is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -6*z - 3. Let u be o(-1). Let c(r) be the first derivative of 1\/8*r**4 - 1\/2*r**u - 1\/2*r + 3\/4*r**2 - 2. Factor c(x).\nAnswer: (x - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3085*s**2 + 4589*s**2 + 10109*s**2 - 2471*s**2.\nAnswer: 15312*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 1742*m - 409. Is i(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56377568.\nAnswer: 2, 13, 59, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -118, -493, -1118, -1993, -3118?\nAnswer: -4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6735075*j + 6735258*j + 9516 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 + s + 8. Let w(i) = -i**2 - i + 1. What is v(f) - 3*w(f)?\nAnswer: 2*f**2 + 4*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 234.2655 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 792180945?\nAnswer: 3, 5, 877, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 2110\/133 and 16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -42ab5?\nAnswer: 42ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 203921962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 9*y**4 + 2*y**3 - 11*y**2 - 8*y. Let a(h) = -h**4 + h**2 + h. Let r(d) = -24*a(d) - 3*u(d). Factor r(f).\nAnswer: -3*f**2*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 28*s**2 + 74*s - 308. What is the ten thousands digit of r(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 1a55?\nAnswer: 1a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/4 of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36\/61 and 85\/11342.\nAnswer: 691862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 12 = -3*g, -d + 9 = -g + 14. What is the second derivative of 19*h**4 - 2 + 3*h**3 - g*h**4 - 33*h + 209*h**4 - 3*h**3 wrt h?\nAnswer: 2712*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-10)*1*28\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*c**2 + 558*c**2 + 0*c + 0*c - 134*c**2 + 411*c**2.\nAnswer: 809*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-16)\/(-48)*3\/36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -i - w + 9, -5*w - 173 = -4*i. Let l be 14*29 - 3\/(-3). Calculate the highest common divisor of l and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-8))\/((-25675)\/9480).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 5. Suppose -5*m + 2*q - 1 = 21, -5*q + 17 = -3*m. Which is the third biggest value?  (a) m  (b) -1  (c) z  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -376*l**2 - 6*l**3 + 3*l**3 + 609*l**2 + (-3*l - 2*l**2 + 3*l)*(0 + 5 - 3)*(2*l + 1 - 1) to q + h*l**2 + x*l**3 + p*l and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 5*s + 28 = 0, -7*s + 233 = -3*u - 3*s + 223 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -53, -21, 69, 247, 543?\n\"Answer: 5*m**3 - m**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 80241694157933.51100156 + -80241695854366. Let r = f - -1696518.489. Let b = 86 - r. Round b to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -260*w - 1 - 4 + 5 - 2.\nAnswer: -260*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -21*c - 7. Let y(p) = -7*p - 2. Let v be (-5)\/(1\/((-6)\/15)). Let m(j) = v*b(j) - 7*y(j). Let a(u) = 2*u**2. Give a(m(x)).\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 314, -0.5, 4, -3, -0.2, -5, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w**2 - 2\/17*w**4 - 72\/17*w**3 + 0*w + 0 = 0 for w.\nAnswer: -34, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*x + 3360 - 8436. Calculate the remainder when x is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m - 12. Suppose 440 - 111 = 47*t. Determine h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (12\/6)\/((-22)\/6). Suppose -92*t + 113*t + 42 = 0. Is q bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 852781, 1705451, 2558121, 3410791, 4263461?\n\"Answer: 852670*z + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -18967*g + 18944. Determine a(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x*x\/(x\/(x*x*x**5\/x*x*x*x))*x*x))*x*x**8*x)**(-2\/29) assuming x is positive.\nAnswer: x**(-44\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 1000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19720 + -19723. Sort 0, -1, j, -4, 6 in descending order.\nAnswer: 6, 0, -1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -85*a*f**3*w**3 - 143*a*f*w**3 - a*w**3 + a*w**2 - 4*f**3*w**3 wrt f.\nAnswer: -510*a*f*w**3 - 24*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.9 - 3.3. Let c = 0.59 - l. Do c and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/364 - -541\/64428. Which is greater: 7 or m?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 2 - 2)*(349 - 349 - 1396*w**2) + (0*w - w + 0*w)*(0*w + 2*w + 0*w) - 3*w**2 + 4*w**2 - 2*w**2 to s*w + k*w**2 + t and give k.\nAnswer: -5587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-81)*5\/(50\/(-30)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -0.2, -0.1, 2\/15, -9919.\nAnswer: -9919, -0.2, -0.1, 2\/15, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 865672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/60)\/((-3)\/(-9)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1904 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -17405*c**5\/6 + 295*c**4\/3 - 4*c**3\/3 - 139*c**2. Let b(j) = 0. Calculate j.\nAnswer: 2\/295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3495 + 77*o + 1328 + 1957.\nAnswer: 77*o + 6780","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 511*l**3 - 316*l**3 - 2*l**2 + 2*l**2 - 581*l**3 to the form r*l + k*l**2 + u + s*l**3 and give s.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 450 < 446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -18070*q**2 + q**4 - 63*q**3 + 1 + 2*q - 13*q + 18073*q**2 in the form f*q**2 + d*q + r + u*q**3 + z*q**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/l**(-6)*(l\/(l*l\/(l\/(l\/(l\/(l*l**10*l))))))\/l)\/(l*l**(-4)*l)**15 assuming l is positive.\nAnswer: l**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 4897 = 4896 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*(-21)\/(-15)*5. Suppose 4 = -330*i + 664*i - 330*i. Sort -2, i, h in increasing order.\nAnswer: h, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 682263169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -5\/4, 0.2, 3, 2, 25286?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -292931252*b**2 + 5*b - 10674755 wrt b?\nAnswer: -585862504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 14479 * 7\nAnswer: 101353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 788 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*k - 338 - 103 = -21 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-3)*6\/60*3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 89 = 3*v + 212, 3*p - 2*v - 181 = 0. Suppose 3*b = -s + 16, -5*s + 3*b = -p - 75. Solve 0 = 5*t + s, -35 = -3*i - 0*i + 4*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, 1, 4, 3 in descending order.\nAnswer: 4, 3, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + l = -q + 22, 5*l = 3*q - 2. Let -16*w**2 - 2*w**q - w**4 + 22*w**2 - 3*w**3 = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 4:20 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(136) - -1*sqrt(136)) - sqrt(136)) + sqrt(136) - sqrt(136))\/(sqrt(48)\/(sqrt(6) - sqrt(96)) + sqrt(8)).\nAnswer: -33*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l - 6. Let w be c(5). Let x = 23 - w. What is the remainder when x is divided by (2\/4)\/((-2)\/(-52))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-2 - -2) - (-10 + 9 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**3\/5 - 21174*m**2\/5 + 828752*m\/5 - 807576\/5 = 0. What is m?\nAnswer: -10626, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 32 = 3*n, -195 + 186 = -n - k. Let z = -2 + 2. Let i = 12 - z. Calculate the smallest common multiple of n and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.21144085 to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15817, -15815, -15813, -15811, -15809, -15807?\nAnswer: -15805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 81, 79, 77?\n\"Answer: -2*z + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 4*c + 15 = w, -c = w - 10. Suppose 4*k = 3*h - 4 + w, 3*k - 5*h + 3 = 0. Let f = 32 - 19. Solve -5*y + f = -4*r, -4*y - k = 5*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14070 + -7263. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 2*t + 7. Let g(c) = -5*c**3 - c**2. Let r be g(-1). Suppose -p = r*p - 15. Is u(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -528 = -3*c + 29 + 8815. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -3*r**3 + 3*r**2 + r - 2. Let y be u(2). Let m(t) = -t - 18. Let n be m(y). Let q be 4 + n - (-128)\/60. Are q and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(504) + 1*sqrt(504)*-2 + sqrt(504))\/(-3*sqrt(512)*-2) + 4 + 2)*-2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a + 12. Let d be z(10). Suppose d*w + 117 = -91. Let q be w\/(-10) + 4\/(-10). What is the greatest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (32\/48)\/((-2)\/6). Is 2\/(1\/3022*-8)*a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (37 + (-29971)\/820)\/((-21)\/245)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.6 + 0?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 + 14*o + 10. Suppose -3*s = -5*s + 5*f - 18, 0 = -3*s - 2*f - 27. Determine b(s).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25626.3 times 120\nAnswer: -3075156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 149303 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*g**3 - 4*g**2 + 415370*g - 15154299?\nAnswer: 9*g**2 - 8*g + 415370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 2800.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-1.32.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1705, -1\/71, 2\/13 in descending order.\nAnswer: 2\/13, -1\/71, -1705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6011.692 + 6026. What is b rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiiu when four letters picked without replacement from iidadiuiiudiiai.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vhhhhhhvhhhhhhhhhhh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7\/96 - -2867\/480. Find the common denominator of q and 25\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**(-2\/13))*j)\/(j**(-1\/14)\/j))\/(j*j\/(j\/(j\/j**(-4))))**(-4) assuming j is positive.\nAnswer: j**(4773\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -6*t + 80. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 66*v**2 + 4.\nAnswer: 66*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 3, 2*x - h - 113 = -2*x. Which is bigger: 27 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/13  (b) -2\/29  (c) -3  (d) -3\/2  (e) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 13. Let z be (10\/(-30))\/(2\/v). Let k = 2113 + -2110. What is the nearest to z in -7, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9549 and 9?\nAnswer: 9549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -7*u**3\/3 + 61*u**2 - 4*u. What is the units digit of y(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 12 = 5*r. Are -10 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 23 - 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 2:46 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of 1\/24*w**4 + 19 + 0*w**3 - 1\/4*w**2 - 1\/3*w. Factor a(r).\nAnswer: (r - 2)*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, i: 1, e: 5, w: 9, z: 1}. What is prob of picking 1 i, 1 w, and 1 e?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 438, 880, 1312, 1728, 2122?\n\"Answer: -r**3 + r**2 + 446*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -10000 (base 2) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 52935467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -53129, -60 in descending order.\nAnswer: 10, -60, -53129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -105 (base 8) to base 13\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + a**2 + 2 + (4*a + 2 + 4*a + 4*a)*(92*a + 1925*a - 8*a) to w*a**2 + q + p*a and give w.\nAnswer: 24109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0, 46, -3\/7, 2, 0.12 in descending order.\nAnswer: 46, 2, 0.4, 0.12, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 86*a. Let p(u) = 57*u. Let q(b) = 5*f(b) - 8*p(b). Let r(w) be the first derivative of -5*w**2\/2 - 5937. Calculate q(r(g)).\nAnswer: 130*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/560 and ((-2418)\/(-96))\/(-13)*6*(-3)\/84.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 o when four letters picked without replacement from mioaymiyoqaaiyiaaymm?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from wwwwzzwwxwzwwzzwzwz.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/78 + 193\/156. Let m = 720 + -724. What is the third smallest value in g, -0.2, m, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 41.73 + -42. Let o = -1029681\/7 + 147097. Which is the nearest to -1?  (a) h  (b) 2\/5  (c) o  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s**2 - 3*s**2 + s**2 + 4*s - 4*s - 2*s**2 + (-4*s - 2*s + 4*s)*(-1 + s + 1) - 7930*s**2 + 7931*s**2 + 45 - 2*s + 4*s as k*s**2 + z*s + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 19*r**2 + 78*r - 43. What is s(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -315, 14805, 5.\nAnswer: -315, 5, 14805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -2.51154194.\nAnswer: 0.502308388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 56 = -231. Let x(t) = 50*t**3 - 2075*t**2 + 12205*t - 35. Let o(l) = 3*l**3 - 122*l**2 + 718*l - 2. Let q(b) = a*o(b) + 2*x(b). Factor q(z).\nAnswer: -5*z*(z - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5974\/5 + -1195. Sort -3\/2, r, -2.\nAnswer: -2, -3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {d: 5, t: 7, f: 1, b: 5}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24778852 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -57293 - -57145.785. Let o = v + 147. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73194 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3001*j - 63700 - 197387 = 0 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -2*w - 14. Let n(u) = -6*u + 9. Let i(r) = 11*r - 17. Let c(q) = -3*i(q) - 5*n(q). What is the units digit of c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 6*v - 4. Suppose -3*o = -3*q - 3 + 15, 0 = -3*q + 6. Let s(y) = -y + 1. What is o*u(n) - 11*s(n)?\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 27*i**2 - 38*i**2 - i + i. Let b(s) = s**2. Calculate b(c(w)).\nAnswer: 121*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 4*q - 4 - 5*q + 0. Let y be u(0). List the prime factors of ((-3)\/3)\/(2\/y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.007 and 1091222.\nAnswer: 1091220.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 104497801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110 + 30420?\nAnswer: 30310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 24 = 2*g + 53, -6 = 3*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 1. Suppose -1 = 2*l + w, 3*w + 4 - 13 = c. Let f = 2 - l. Let y(m) = m**3 - 4*m**2 - m - 5. Give y(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**(3\/23)*r))**(-25) assuming r is positive.\nAnswer: r**(650\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0398 - 0.049. Let w = u + -0.3418. Let q = -0.42 - w. What is q rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11718113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -25.4, 0.159, -1?\nAnswer: -25.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 3:45 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -4*h. Let o be z(6). Let b be (-4)\/10 - o\/10. What is the units digit of b*1\/(-4)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.7 + 1.6. Let t = 13.2999863 - l. Round t to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -2\/13, -52, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 9 - (5 - 1)) + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 4*j**3 - 5*j**2 - j - 6. Let r(b) = -4*b**2 + b + 97. Let g be r(5). Calculate i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of -q**4\/6 + 2*q. Let z(u) be the first derivative of -u**2\/2 + 2. Let h(v) = 2*v. Let n(d) = -h(d) - z(d). Give n(c(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3257996.\nAnswer: 2, 7, 23, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 232837 + -138041. Let d = -162796 + v. Round d to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 6*y - 3. Let j be q(-5). Suppose 0 = -g + 5*c + 437, 3*g - 1269 = -c + j*c. Suppose 0 = i - g - 125. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 5:22 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*z + 3*u, z - 4*z - 16 = -4*u. Let i(b) = b**3 + b**2 - 9*b + 107. List the prime factors of i(z).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1150240 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -9. Suppose h + v*b = 3*b, 3*h - 28 = 4*b. Suppose -h*a + 1 = -19. What is the least common multiple of a and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10598?\nAnswer: 2, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 690 and 60578550.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3*w - 1. Let i(h) = 14*h**2 + 10*h - 51. Let s(y) = 5*y**2 + 3*y - 17. Let u(l) = -4*i(l) + 11*s(l). Let p be u(-9). Calculate v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 2*z = 72. Let q = -13 + z. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.239 + 3.239. Let j = 9 - 8.8. Which is the biggest value?  (a) w  (b) j  (c) -0.5  (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b**3 + 1318*b**2 - 330*b = 0 for b.\nAnswer: -165, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-22))\/((-1287)\/(-9438)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/3  (b) -9  (c) 34\/7  (d) 2\/51  (e) 5  (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.897 and -0.4.\nAnswer: -1.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 24, 7, -14?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 143 + -142. Let n(j) = -3*j + 2. Let k be n(-5). Suppose -6*f - k - 7 = 0. Put z, 59, f in decreasing order.\nAnswer: 59, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.4 + 2.4. Let u = n + -1.7. Let h be 3\/9 + 4\/6. Which is the second biggest value?  (a) 0  (b) h  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 - 1)*(-14)\/(-35). Find the common denominator of 12\/(-33) + (-4)\/p and 16\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/24*3 + (-97125)\/3108\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5113760 and 2062?\nAnswer: 5113760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v = 8*v. Let w be (0 - v) + (507 - -1). Suppose 0 = -4*f - 3*c + w, f = 4*f + 5*c - 381. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10528688 is divided by 235?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -2. Suppose 0 = -z + o + 23, u*z - o + 17 = 3*z. Suppose -2*c - z = -4*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 21) + -23 - -34 - -93?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 162543 + 15946.\nAnswer: 178489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1256  (b) 265  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/58683 and 41\/213.\nAnswer: 4166493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1073 - 1058. Solve 0 = -23*t + b*t - 40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 638c - -33?\nAnswer: 63bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-1\/3)*i\/(i**(2\/11)*i))**(-34)*((i\/i**(5\/4))\/i*i**(-5)\/i)**(1\/2) assuming i is positive.\nAnswer: i**(-11293\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-724)\/(-18)*1 - 42\/189. What is the greatest common divisor of 145 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -0.3, 1, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -139*j + 86654 - 86793 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 196*h**2 - 1503*h + 1504. Calculate n(1).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -421.662 and 0?\nAnswer: 421.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/143, -0.3, 0.03.\nAnswer: -0.3, 1\/143, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 408496590 divided by 22694255?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9330443\/46209870 + -24\/73349. Find the common denominator of -18\/35 and u.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*f + 22*f - 36 = 8*p, -19*p - 6 = -16*p + 3*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 - w + 1. Let j be d(-3). Let f be 13 + -10 - (1 + 0). Suppose 0 = r - 0*r. Sort r, j, f in decreasing order.\nAnswer: f, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -35620?\nAnswer: -35615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65801*q**3 - 950*q - 933*q + 1883*q.\nAnswer: -65801*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 118 + -112. Let w be (l\/8)\/(651\/(-496)). What is the nearest to -1 in 0.5, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 428*m + 4394 = -5022 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.496573 hours in microseconds?\nAnswer: 26987662800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + 110?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10)\/40 - (-33)\/4. Let j = l - 8. Solve 4 + j = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-378))\/(50\/(-75))*30\/(-50).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10682920 and -1.\nAnswer: 10682920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -247\/956 - -2\/239. Let u = 5 + -9. Which is the closest to r?  (a) -1\/3  (b) u  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 3 h when four letters picked without replacement from ggghghhggh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (22 - 7 - 15) - (46 - 1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 PM and 7:26 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -5*i - 3. Let t be z(-1). Let h = 0 - -4.5. Let g = -4 + h. Which is the closest to -1\/4?  (a) -4\/3  (b) t  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.389928 decades to millennia.\nAnswer: 0.00389928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 354299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -81  (b) 9  (c) 0.45  (d) 1\/8  (e) -0.1  (f) -4\/9  (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.02 - -0.98. Let l = -75 + 71. Let z = l - 0. What is the second biggest value in 0.09, z, m?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18820618 - -163741623. Let v = 144920991.0000013 - f. Let d = v + 14. Round d to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6483 = -4*v - 3*n + 7982, -n - 7245 = -2*v. What are the prime factors of v?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 - (0 - -1) - -16. Let k(v) be the first derivative of 2*v**3\/3 + 3*v + 3. Let o(w) = -10*w**2 - 16. Calculate p*k(a) + 3*o(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((g**2 + 0*g**2 - 2*g**2)*(3 - 3 - g) + (-1 + 1 + 2*g)*(-3*g + 2*g + 0*g)*(2*g - 3*g + 0*g))*(-5*g**2 - 59*g - 59*g + 119*g).\nAnswer: -15*g**5 + 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 188 - (-1 - (-2)\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9408.2 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 257536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -124 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 474 a factor of 17422668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b - 4*r - 4 = 0, -b + 4*r - 21 = -25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**27*o**25 assuming o is positive.\nAnswer: o**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13477 (base 8) to base 16.\nAnswer: 173f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (65 - 40) + (-5 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = -21*i + 5*s, -7*s = 3*i - 12*s + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k**2. Suppose 4*a - 1 + 49 = 0. Let l = -12 - a. Let w(x) = l*x + 8*x - 7*x + 0*x. Determine n(w(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -359c (base 13) to base 8.\nAnswer: -16615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 73.8 - 74. Let k = 1.6 + -1.67. Let d = k - -2.07. Put y, d, 0.5 in ascending order.\nAnswer: y, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3202, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -301452, -599816, -898180, -1196544?\nAnswer: -1494908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*n**2\/5 - 16502*n + 27504\/5.\nAnswer: -2*(n + 13752)*(3*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2916)*2)\/sqrt(12))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -11. Suppose 4*g + 0*g = o. Suppose r - 7 = d, -g*d - 2 = -4*d. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y + 168 = 84. Let x(q) = 2*q**2 + 27*q + 18. Determine x(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 48 or 636\/13?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (1 + (2 - 1)). Let j be -1 - (w + -2 + 0). Suppose 0 = j*p - 5*f + 18 - 2, -17 = -4*p - f. Solve -5*n - p*o - 22 = 0, -4*o = 2*n + o + 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49500038*g**2 - 41429019*g.\nAnswer: -99000076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 180 + -261. Let u = -81.1 - z. Which is the closest to 2\/3?  (a) -3\/5  (b) u  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**4\/9 - 142*c**3\/9 + 2375*c**2\/9 + 21022*c\/9 - 12584 = 0. What is c?\nAnswer: -9, 4, 26, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -5*r + 16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of -w**4\/6 + w**3\/3 + w**2\/2 + 41*w. Determine d(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 266*k + 168 wrt k.\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 240530012 (base 6) to base 2\nAnswer: 10001001111111100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 6*t + 9. Let s be i(5). Let q(h) = 1. Let n(g) = 31*g - 7. Let k(y) = n(y) + 2*q(y). Is k(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + k - 14. Let x(i) = i**2 - i + 1. Let d(c) = q(c) + 2*x(c). Let g be d(6). What is the highest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 284\/5325*-100*(-1)\/((-24)\/(-81)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 21051120?\nAnswer: 21051125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -18 - (-11)\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 10177, 10178, 10177, 10174, 10169?\n\"Answer: -w**2 + 4*w + 10174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -4, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -17680, -35203, -52424, -69193, -85360, -100775, -115288?\n\"Answer: 25*t**3 + t**2 - 17701*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -79 + 46. Let t = 88 + z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 410 and 13598921?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 - -0.2. Let k = 7 + -6.5. Let g = k - y. What is g rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 3*z + 1476, 5*z + 992 = 2*a + z. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {t: 3, l: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 126 - 131. Suppose -4*h = -5*h. Suppose h = -3*u + 19 + 32. Sort u, 2, b in descending order.\nAnswer: u, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 4671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 - (-1 - (-5 + -7))) + (-4 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Simplify (x**(1\/2)\/(x*x**(-4)))**48\/((x**(-2\/5)\/(x*x\/(x\/x**3)*x))\/(x*x*(x\/(x**(-1)\/x)*x)\/x)**14) assuming x is positive.\nAnswer: x**(1217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-170)\/22*21*23\/805. Are 8 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of -c**6\/300 + 12*c**5\/25 + 15*c**4\/4 - 46*c**2 - 7*c. Suppose m(l) = 0. What is l?\nAnswer: -3, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/262900 and -69\/1375.\nAnswer: 1314500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -993, -2014, -3035, -4056, -5077, -6098?\n\"Answer: -1021*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 7, -5 in descending order.\nAnswer: 7, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - 6) + 10 - (0 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - 4*r + 1. Let p be f(4). Let y(s) = 3*s - 2. Let j(c) = -c**2 + 4*c - 3. Let n(w) = 2*j(w) - 3*y(w). Determine n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x - 3. Let p be t(-5). Suppose -a + q + 5 = 0, 0*q = -4*a - q + 10. Find the third derivative of -o**3 - p*o**a + o**3 - 2*o**2 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -249.\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -753847?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -364 - -404. Suppose 0 = -l*s + 44*s - 132. Solve 4*w = -7*w - s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r - 1. Let t be l(5). Let s = 7 - t. Suppose s*q = 4*g + 19, -2*q + 4*q - 3*g - 12 = 0. Calculate the highest common divisor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of -8*u**7\/21 - 4*u**4\/3 + 23*u - 14. Let j(g) be the first derivative of o(g). Find the third derivative of j(t) wrt t.\nAnswer: -960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + v - 878 = 4*v, -h - 5*v = -170. What is the greatest common divisor of h and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = d - 35, 11601*d + 36 = -2*y + 11583*d for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 5434461256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 21873237 less than or equal to 21873237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(190)\/(sqrt(240)\/sqrt(6)).\nAnswer: -2 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/1250 and 37\/50?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 + 13. Let d be (-2)\/(-7) + 66\/14. Suppose 3*y - d*y = 0. What is the tens digit of j(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 159 + (-4358 - -4320)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p*(p**(-13)*p)\/p*p)\/p)**29 assuming p is positive.\nAnswer: p**(-319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of -q**7\/42 - q**3\/2 + 23*q. Find the second derivative of m(k) wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {f: 1, y: 2, u: 1, c: 1, t: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 500 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3 = 0, -3*j = -5*j + l + 5. Let s = 33 + -49. Let d be ((-9)\/12)\/(-3*22\/s). Is j greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 - 8*p**2 - 7*p - 6. Let l be q(9). Let k(h) = -h + 2. Let a be k(0). Suppose 0*v - v = -2, 2*r + a*v = l. Solve 2*u + 0 = r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5733 and 4446.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -1589*p + 53. Is k(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.0429 in -4, 5, 4\/5, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3a - -2aa4df?\nAnswer: 2aa4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-104)\/(-416) - (-18141)\/12 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3335 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: Let i = -5.4 + 5.5. Which is the closest to 0?  (a) 9  (b) -0.5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84779.94 centuries to years.\nAnswer: 8477994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/273099 and -22\/1911693.\nAnswer: 1911693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 38*m**2 - 21*m - 140. Let q be n(-38). Calculate the greatest common factor of 56 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 28*p**2 - 248*p + 9286. Give s(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6465552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 73 - 47. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**2 - 6*d + 6. Let z(y) be the first derivative of -y**3\/3 - 3*y**2 + 5*y + 730. Calculate -5*s(q) + 6*z(q).\nAnswer: 4*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-48)\/112 + 3\/7. Suppose -4*b - b + 110 = z. What is the lowest common multiple of b and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - k - 10, -f + 0*k = 5*k - 6*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of 191*a**4\/6 + a**3\/6 - a**2\/2 + 78*a. Does 38 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 3956586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/30*-5*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of 3*d**6\/40 + d**5\/12 + 5*d**4\/24 - 5*d**3\/6 - 4*d**2 + 3. Let g(x) = -4*x**3 - 3*x**2 - 2*x + 2. Give 5*g(q) + 2*l(q).\nAnswer: -2*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aqaqvvvaaqavqaq. What is prob of picking 4 v?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - 8*v**2 + 14*v + 8. Let i be k(-10). What is the greatest common divisor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 - 8. Find the common denominator of (z\/9)\/((-16)\/57) and 4 + -6 + (-35)\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7597 divided by -71.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from {u: 2, y: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 5) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -9*j + 1. Let u be z(1). Let p(o) be the first derivative of -o**2\/2 - 5*o + 11178. Give p(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 13) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -1. Solve 2*b - d*b = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 minus -36.82?\nAnswer: 37.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 282072 by 511.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2336 + -5?\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 - 2a7b?\nAnswer: -2a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = -63*p - 411, 967*p = 5*o + 961*p - 59 - 13 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35630, -35633, -35636, -35639?\nAnswer: -35642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -635 or -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -8*p**3 + 2*p - 2. Give x(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20726 is divided by 4008.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 236*v - 8 - 14*v)*(3*v**3 - v**3 - 7*v**3).\nAnswer: 1250*v**4 - 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 4*q**2. Let a be k(1). Let n(c) = 701*c - 82013. Let o be n(117). Solve 8*r + o = -a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4312, 4305, 4298, 4291, 4284?\n\"Answer: -7*s + 4319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 - 26 = 7*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 2*m - m)*(-2*m + 5*m - m)*(3 + 2*m**2 - 3) + 55*m**4 - 19*m**4 - 27*m**4 + (0 - 3 - 1)*(-3*m - m**4 + 3*m).\nAnswer: 29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 5, -k + 2 = o - 1. Let m(b) be the first derivative of 0*b + 1\/5*b**2 + 0*b**3 - 1\/10*b**k + 2. Factor m(z).\nAnswer: -2*z*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 10.5. Let z = l - 0.5. Which is the closest to 0?  (a) 2\/7  (b) z  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 21 = -l, 0 = i + 30*l - 27*l + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -75 + 77. Suppose -25 = 5*p, -2*p - 8 - 8 = 2*o. Which is the nearest to 2?  (a) -0.2  (b) o  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 304138*g**2. Let d(u) = 3*u. Calculate d(m(p)).\nAnswer: 912414*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is d8b4 (base 16) in base 15?\nAnswer: 11686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 117*d**3 - 5*d**2 + 294*d + 571. Calculate r(-2).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-24)\/(-132) - 72\/33) + 5. Which is the fourth biggest value?  (a) i  (b) 241  (c) 0.2  (d) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -56*h**5\/3 + 124*h**4\/3 - 24*h**3 - 4*h**2\/3 + 8*h\/3 = 0?\nAnswer: -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*s = 22*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2633, -4, 3, 43, 9 in descending order.\nAnswer: 43, 9, 3, -4, -2633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 7313938.2 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.213 - 137.787. Let f = 138.004 + x. Which is the third biggest value?  (a) 4  (b) -3\/2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + 9*g + 9. Let c be 1\/(-2)*-16 + 1. Let p be x(c). Let z = p + -1. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 199*w - 14. Let a(y) = 399*y - 32. Let l(f) = -4*a(f) + 9*q(f). Let n(s) = s**2. Determine n(l(t)).\nAnswer: 38025*t**2 + 780*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 1296*i**2 - 413*i**2 - 478*i**2 + 10 - 407*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*r**2 + 217914*r + 217915*r + 217897*r + 217909*r - 871635*r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t. Let s(y) = 7*y - 15. Let h(f) = 6*a(f) + s(f). Let x be h(14). Let o be (x - 51)*1\/(-4). Solve -2*q + 5*d = -o, -4 = 4*d - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 37667 + -4?\nAnswer: 37663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of -k**5\/20 + 25*k**4\/12 + 9*k**3 + k - 524. Let j(p) = 0. Calculate p.\nAnswer: -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -21*j - 75. Give s(-8).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*d**2*n**2 + 4*d**2*n + 3*d*n**3 - 10*d + 79*n**3 - 28*n**2 - 2*n - 28 wrt n?\nAnswer: 8*d**2 + 18*d*n + 474*n - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 + 9*k - 7. Let i = -209 - -217. Determine c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 896852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -3*b + 3876, 2*m + 21*b - 16*b + 3892 = 0. Is m at least as big as -1941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wyyyyyywyywy. Give prob of sequence wyy.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.36 and 42?\nAnswer: -15.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j - 3*j - 6*j**3 + 4*j**3 + 2*j - 19*j**2 + 1 to y*j + r + o*j**3 + c*j**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 79 in ascending order.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 48 = -4*g, 6*d - d + 701 = 2*g + 726 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111011 - -1010101101?\nAnswer: 111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -20*m - 9. Let u be g(8). Let l = u + 327. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11106236, -22212472, -33318706, -44424938, -55531168, -66637396, -77743622?\nAnswer: -88849846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16636)\/6 + 7 + -1. Let x = i - -116279\/42. Find the common denominator of x and 1\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210 divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -127 - -214. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g + 2. Let u be z(0). Suppose -a + u + 0 = 0. List the prime factors of a*(-2)\/4*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2251*m**3*v**3 - 5169*m*v**3 wrt m.\nAnswer: 13506*m*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28010 is divided by 5524?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - (-4 - (-142)\/24). Let d(y) be the third derivative of 0*y + 0 + 0*y**3 + h*y**4 - 1\/60*y**5 - 2*y**2. What is the second derivative of d(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 9*g**2 + 34*g - 228. Calculate p(6).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4 + -0.2. Let v = -0.16 - -0.07. Let a = v - -0.59. What is the nearest to d in -4, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/170*17*8.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uup when three letters picked without replacement from {u: 8, p: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 658 + -667.14. Let k = z - -9. Let h = 0.03 - k. What is h rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 215 - 215 + 4*x + 0*x + 5*x + 0*x + (5*x - 4*x - 2*x)*(3 - 1 - 1) - 2*x + 0*x + 3*x in the form t + v*x and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 15) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10791 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -180*o**2 - 121*o**2 - 329*o**2 + (3*o - 5*o + 4*o)*(3*o - 5*o + o) + 4 - 4 - o**2 + (2 - 2 + 3*o)*(0*o + o - 2*o) as f*o**2 + h*o + x and give f.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-4) - (-9)\/6. Let t be 68*(m - 0)*-1. Calculate the least common multiple of 8 and (-6)\/(-21) - t\/14.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 25*d**2*s**3 + 140*d**2*s + 14*s**3 - 39 wrt d.\nAnswer: 50*d*s**3 + 280*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - 2*g**2 - 3*g)*(g**2 + 3*g**2 - g**2)*(4 - 4 + 2) + 64*g**4 - 1215*g**2 + 1215*g**2.\nAnswer: 52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 440.99 - 441. Let v = -43 + 43.1. Sort j, -0.2, v.\nAnswer: -0.2, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 15, 1029 = 4*n - 5*i + 2*i. Let p = 252 - n. Let k(c) = c**3 + 6*c**2 - c. What is k(p)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -172\/267 + -2\/89. Which is the third biggest value?  (a) 3  (b) 9  (c) 2\/3  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 3*i + 37 = 0, 3*i - 27 = 3*m - 0*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -341, -1434, -3271, -5864, -9225?\nAnswer: -13366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1 + sqrt(242) + sqrt(242))**2 - (1 + (-2 + sqrt(242) - sqrt(242))).\nAnswer: 44*sqrt(2) + 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14 or -523?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -172734080 divided by -43183520?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 421143440 (base 5) to base 7.\nAnswer: 20536221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 61*l**2 + 1. Let b(x) = -8*x - 10. Let f(c) = c + c - 7*c - 2 + 4*c. Let a(v) = b(v) - 5*f(v). Determine a(q(m)).\nAnswer: -183*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 + 18*m**2 + 55*m - 16. Give s(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**2\/5 - 18*k\/5 - 1584\/5 = 0?\nAnswer: -24, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 15*c**2 + c - 1. Calculate the remainder when i(1) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*u - u. Suppose 0 = 5*n - 9*n + 11*n. Put -3, n, u in increasing order.\nAnswer: -3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {t: 4, c: 6, v: 10}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*-15*9\/3078*24\/(-150).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 2:48 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**5\/w)\/w**(3\/11))\/(w*w\/(w\/(w**(-3)\/w))*w**(-8)*w))**33 assuming w is positive.\nAnswer: w**453","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 3 - 4)*(1 - 4 + 5)*(-1 + 1 - i)*(72 + 8 - 16) to f*i + g and give f.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-25)\/1*10\/(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*k = 31*k + 72. Let g(i) = 6 + 13*i**3 - 11*i**2 - 26*i**3 + 14*i**3 - k*i. Give g(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttiiiitiiitttiti. What is prob of sequence tti?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 53, 58, 63?\n\"Answer: 5*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 + 8. Let y be 1\/(-4) - (-2)\/8. Let d(m) = -m**2 - m - 5. Let k be d(y). Which is the biggest value?  (a) 1\/5  (b) f  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1163718 is divided by 1414?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/5)\/(-1))\/((-344)\/(5744800\/1002))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -4*s - 3 + 2*s + 4 - 5. Let l(a) = -5*a - 9. Let r be 72\/5 + (9 - 188\/20). Calculate r*q(v) - 6*l(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2982 + 2*t**3 - 6*t**3 + 2982.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3\/4 - 1095*c**2\/2 - 81432*c.\nAnswer: -3*c*(c + 208)*(c + 522)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 52 = -4*c, 6*c - 3*c - 2*z - 25 = 0. Let w = -5010 - -5064. What is the remainder when w is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**2 - 5*o + 4. Suppose -3*j + 5*n - 1 = 0, 10 = -4*j - 4*n + 2*n. Let z = 5 + j. What is g(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 69.884 - -0.116. Let m = -63 - c. Let o = m - -133.79. What is o rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000430031 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -59*d**5 + 13*d + 2*d + 42*d**5 wrt d?\nAnswer: -340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/13  (b) 2\/109  (c) -6  (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -1\/127, 0.1, -28\/69?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(84)*-3)\/sqrt(12).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 31012\nAnswer: -3\/31012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.644 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.6 and 1.9?\nAnswer: -8.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -3  (b) -0.3  (c) 7\/15  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 + 1)*(0 + 0 + 2*q) + (2*q - 2*q + 3*q)*(-2 + 0 - 12) in the form j*q + k and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*g**2 + 2*g**2 - 2*g**2 to the form j*g + d + r*g**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 6:45 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (36\/(-45))\/((-2)\/10). Let n be 8\/(-10)*(-10)\/p. Suppose 3*a = -2*a + n*x + 63, 5*x + 9 = -a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/8993 and 26\/19159.\nAnswer: 440657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 143877824\/3 + 1\/3*f**4 - 1573\/3*f**3 + 275100*f**2 - 144701552\/3*f.\nAnswer: (f - 524)**3*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -24*u - 26. Suppose -68 + 2 = 11*n. Let r be c(n). Let m = r + -947\/8. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 129375*j + 1293699. What is l(-10)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(847)*2*-1 - (5 + (sqrt(847) - sqrt(847)*1 - sqrt(847))**2))*-2.\nAnswer: 44*sqrt(7) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**3 + 2*x**3 - 6*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-6)*1026\/11115?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 1)*(14744 - 131*r**5 - 14744).\nAnswer: -262*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-6) - (-26)\/6. Suppose -3 = -j*l + 29. Let r(o) = o**3 - 7*o**2 - 8*o + 9. What are the prime factors of r(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/110 and 21\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/3 and 4\/427493.\nAnswer: 1282479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5191 and 11368.\nAnswer: 2034872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 6:24 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (121 - 185)\/(136\/102).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 640 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 9370.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/169237 or -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(-6 + (-10 - -7)). Solve 56*p - 59*p - l = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 99*l + 104*l - 196*l - 1364279. Round l to the nearest 1000.\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 2)*(5 - 5 - 3)*(-1 + 0 + 0)*(0*n**5 + 3*n**5 + 3*n**5).\nAnswer: -72*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.078322507 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of s**3 - 5*s**2 + 8. Find the second derivative of i(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15271 to the nearest 100.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 8. Let i = -6 - x. Let z = -236 - -238. Put 1, z, i in ascending order.\nAnswer: i, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -336*c + 7456. Let g be t(22). Solve -22*a - g = -14*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/75*-5)\/(2\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 + 22*w + 29. Let s be j(23). Solve -s = 4*n + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 6*l - 48. Suppose -5*g - 245 = h - l*h, 143 = 3*h + g. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = -2*q + 73. Which is greater: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 - -0.7. Let q(j) = -j**2 - 4*j + 14. Let a be q(-6). Suppose 0 = a*y, h + 2*y + 4 = 3. Sort h, p, -0.4 in increasing order.\nAnswer: h, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 621 and 407727?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/98 and -29\/154?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(1\/3))**(1\/10)*q**(-13)\/(q*q*q\/q**14))**(20\/3) assuming q is positive.\nAnswer: q**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -2*f + 44, 0 = -5*s + 3*f - 704 + 646 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/21*(14858\/51)\/(-19)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnknkn. What is prob of picking 3 n and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3000\/14685 + 60\/(-2670). Determine v so that -4\/11*v + s*v**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 153?  (a) -5  (b) -12  (c) 2\/3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*w + 15 = 0. Let z = -9.8 - -9.6. What is the nearest to -1 in z, w, -1\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 76 - 11. Suppose 4*g - h = -g. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 3*x - 20, 32 = 5*x + 4*i - 12. Suppose -u + 8 = u - h, 2 = -5*u - 3*h. Let y be -4 + 4 - u\/x. What is the nearest to 0.1 in 3\/8, y, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -361130 rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h*w**2*x**3 + 16*h*w**2*x**2 - 293*h*w*x**2 - 4*h*x**3 - 2*h*x**2 + 47*w**2*x**3 - w*x**2 wrt w?\nAnswer: 4*h*x**3 + 32*h*x**2 + 94*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -9. Suppose 3*l - 62 = o, -l - 3*o - s*o = -42. What is the lowest common multiple of l and 23 + 0 + (-1 - 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52179?\nAnswer: 3, 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**5 + 41*l**4\/3 - 125*l**3\/3 + 53*l**2 - 92*l\/3 + 20\/3 = 0. Calculate l.\nAnswer: 2\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2123*b + 11160 = -1844*b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -161 + 145 + 0 + 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 80.99 + -77.99. Let z = 4 + -11. What is the third biggest value in v, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 10*y**2 - 5*y. Let i be n(-6). Round i to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -9 - 5 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 162 (base 8) to base 2.\nAnswer: 1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 70571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1550\/(-3255)*(-924)\/(-240)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68124988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**4\/5 + 17248*r**3\/5 - 6908616*r**2\/5 + 964538432*r\/5 - 45418783124\/5.\nAnswer: -4*(r - 3883)*(r - 143)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + -5 - (-1 + -116). Suppose v - 3*v = 2*q - g, 5*v - q - 267 = 0. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -eddea (base 16) in base 10?\nAnswer: -974314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -41*g - g + 20414 - 20876 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -107, -218, -335, -458, -587, -722?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/(-198))\/(60\/(-55))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -384, 0, 4\/15, 7.5 in descending order.\nAnswer: 7.5, 4\/15, 0, -2\/15, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/5  (b) -175424  (c) -3  (d) -1  (e) 2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4147 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173*y + 19602 = 200*y. Calculate the remainder when y is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 541196 to the power of 1\/2, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -5. What is the units digit of 0 + 3 + (-3 - k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243))**2*-6 + 3 + (2 + -2*sqrt(3))**2.\nAnswer: -1439 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(10 + 9252\/(-924))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 180 = 22*p. What is the remainder when 34 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -152*0.4\nAnswer: -60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 234279 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of 839*l**8\/336 - 49*l**4\/4 + l**3\/3 - 6*l**2 + 2*l. Find the second derivative of c(x) wrt x.\nAnswer: 16780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 1 - 3)*(4*i**2 + 0*i**2 - 3*i**2 + (1 - 3*i - 1)*(2*i + 3 - 3)) to the form x + n*i**2 + v*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1699.8 to the nearest 10.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30036, -60081, -90136, -120207, -150300?\nAnswer: -180421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19748421?\nAnswer: 3, 7, 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 14248174 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1283 + 5523 = 3150*x - 3044*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36 + -51 - -36) + 17.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 10) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 804325 + -1690340.\nAnswer: -886015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 0.1, 3\/4, 1\/4 in descending order.\nAnswer: 3\/4, 1\/4, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 441 + -251. Suppose 2*t = -i + 6*t + 194, 0 = -i + 2*t + s. What are the prime factors of i?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than -5\/392632339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56) - (sqrt(56) + sqrt(392)\/sqrt(7))*-4)\/(sqrt(32) + sqrt(96)\/sqrt(3) + sqrt(32)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 29089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -w + 2*q, 0 = q - 0*q. Suppose 8 + w = 3*b. What is the first derivative of -9*c**4 + 7*c**4 + b - 1 wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/a**(-13)*a**(-2\/35)*(a**(-5)\/a)\/a**(1\/7) assuming a is positive.\nAnswer: a**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2023014 (base 5) to base 10.\nAnswer: 32884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 6*x + 10. Suppose 20 = 5*f - x*u, u - 5 = -f - 4*f. Find the second derivative of -3*p**3 - 3*p + p**3 + p**2 - p**f wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -77 - -75. Let y be (-9)\/18*(-18 - 0\/s). Let 4*o**2 + 2*o - 6 - 1 + y - 8*o = 0. What is o?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 597 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 289, 305, 339, 397, 485, 609, 775, 989?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.89 - -6.99. Let o = -0.48 - -4.58. Let s = o - p. Is s at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4718142 divided by 2?\nAnswer: -2359071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -2301?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10  (b) -1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 1 + 0)*((-3 - 2 + 3)*(1 - 1 + 1) + 13 - 5 + 1)*(d + 3*d - 3*d) in the form q + l*d and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1334 + -324301201?\nAnswer: -324244312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34683, 383, -5 in descending order.\nAnswer: 34683, 383, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that g**2\/7 - 21964560*g\/7 + 120610473998400\/7 = 0.\nAnswer: 10982280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 45772 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 364*g - 349*g - 135 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366337 is divided by 5018.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does -262714981 = -262714979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 6*h**2 + 4*h + 5. Give d(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(13) + -2 + 1)*-6)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j, 1 x, and 1 r when four letters picked without replacement from dxjgjrjjdg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 divided by 3?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10741 divided by -91.\nAnswer: -10741\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0.5, -19.\nAnswer: -19, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/28*(-88)\/594*9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + sqrt(65)\/sqrt(5) + (sqrt(78)*-4)\/sqrt(6) + (-6*sqrt(39)\/sqrt(3) - (-1*sqrt(13) + 4)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-2\/15)*m**(2\/39)*m**3*m\/(((((m**(3\/8)\/m*m)\/m)\/m)\/m)\/m)*m**(-8\/3) assuming m is positive.\nAnswer: m**(7607\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 + 10*p - 4. Let d be t(8). Let r = -4 + d. Let y = r + -4. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ed25 + -7e?\nAnswer: eca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1704.6 less than 88.9?\nAnswer: -1615.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 7, z: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5378755381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 0. Suppose -2*g - g = -2*k, -4*k = -2*g - 8. Let o(f) = 3 + 0*f - 2*f - k*f**2 + 0 + f**3. Give o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520979.3 times 3?\nAnswer: 1562937.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5265132874.\nAnswer: 2, 29, 131, 692963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 - -67. What is the highest common divisor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40375233.\nAnswer: 3, 1495379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnznjnjnnjjjnnjnjnjn. Give prob of picking 2 n and 1 j.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 + 34. Suppose 4*a - 39 = 2*a + 5*s, -z*s - 17 = -a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + 6*g**2 + 7*g - 4. Let q be l(7). Is 6\/q + (-47)\/(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -308358818 rounded to the nearest 10000?\nAnswer: -308360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 0.8878\nAnswer: 2.6634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 1 - -2) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/30  (b) 0  (c) 0.5  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/4)\/(i\/(i*i*i**3))*i\/i**(-2\/3)*i**(-5)*i)\/((i**0\/i)**(-2\/167)*(i*i\/(i\/(i**(-1)*i)))**(-8\/13)) assuming i is positive.\nAnswer: i**(39601\/26052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -53 divided by 41796\nAnswer: -53\/41796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*x**2 - 4*x**4 + 24*x**2 - 85*x**2 + 12*x**3 - 12*x + 23*x**2 = 0. What is x?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - (0 - 1))\/((-100)\/(-5)). Let z = -3\/10 - x. What is the fourth smallest value in z, 0.3, -4, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 5 = 0, 5*s - 1 = -2*w - w. Suppose 0*b - w*b = -5*h + 12, 4*b + 5*h = 36. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q. Let s(o) = 506 - 506 - 46*o. Give h(s(g)).\nAnswer: -92*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2056 - 2060. Let m(i) = 12*i**2 - 5. Let y(c) = c**2 + 1. Let t(a) = m(a) - 5*y(a). Is 34 a factor of t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h. Let m be p(2). Suppose 0 = -a - m*a. Which is smaller: a or 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13672.9 plus 1?\nAnswer: -13671.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 54840059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 6:08 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 - -20?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -58458756.7 rounded to the nearest 100000?\nAnswer: -58500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34\/9 - 37\/9. Put -7, -0.2, -1\/4, y in increasing order.\nAnswer: -7, y, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19*(-27)\/3078*(-8)\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71 = 81*b - 2022 - 1208 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.2, -29, 2\/35, -73 in descending order.\nAnswer: 4, 0.2, 2\/35, -29, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -132 + 260. Let n = -129 + s. Which is the third biggest value?  (a) -5  (b) n  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 16\/5  (b) 5693  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(2)*-4)*-3.\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/12 - 385\/66. Let v(h) = -h**3 - 6*h**2 - 2*h - 3. Give v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o - 8. Let g be c(-7). Let d = 4 + g. Put d, -3, -4 in ascending order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -314 (base 9) in base 13?\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 2\/267, 3, -1\/7 in decreasing order.\nAnswer: 3, 2\/267, -1\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 23. Suppose -x = -m - 4*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - 0)\/((-1)\/16). Let y be 6*-1*(2 - 1). Let v = y - n. Calculate the smallest common multiple of 18 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24 - (-14 + 12) - (-8 + 66)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 2 = -3*k. Let z = -28 + 28. Suppose 5*w + 1 - 6 = z, 0 = c + 2*w - 5. Solve -c*i - 3 - k = -5*m, 4*i = m - 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 9*h + 9 + 13 = -46*v, -5*h = -3*v + 27 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -d, -3*u = -u - 3*d. Let w(p) = p + 8. Let v be w(-8). What is the nearest to v in 1, u, -3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5204.53 - 1.3399094\nAnswer: 5203.1900906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and -41535.5138.\nAnswer: -41536.5138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 808106 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100.7 minus -0.8?\nAnswer: -1099.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 258*q**2*v - 77840894*q**2 + 90335*v**2 with respect to v.\nAnswer: 258*q**2 + 180670*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/2*(1 - 5). List the prime factors of t\/(((-4)\/(-14))\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 24*l - 2 - 90*l + 31*l + 32*l. Suppose 4 = -u - 0. What is o(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -6*k + 5*k. Let v be k\/6 + 2 + 5\/(-2). Let y = v - 2. Sort -0.7, y, 0.3 in ascending order.\nAnswer: -0.7, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 73?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3923478 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - (-19)\/(-2))*16\/(-12). Suppose -f*s + 10 = -40. Let k be s\/5 - (-1 - (-4)\/4). Solve o + k = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**10)**(5\/6)*(j**(-3)*j)\/(j**(-1\/10)*j)*j**(-8) assuming j is positive.\nAnswer: j**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/13?  (a) -2452  (b) 4  (c) 2206  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(152)\/((1*sqrt(96))\/sqrt(12)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (48 + -48)\/(0 + 3\/1). What is the third smallest value in 350, l, 1\/4, 3\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33519 divided by 12\nAnswer: 11173\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 504 = -13*q + 15*q. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32890 and 18200130.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42\/(-7) + 0 - 610\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4968 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(2\/7)*v\/(v\/v**(-2)))\/((v\/(v*v*v**6))\/v**4)*(v**(1\/2)*v**(2\/9))**44 assuming v is positive.\nAnswer: v**(2614\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(165)\/(sqrt(3) - (sqrt(3) + sqrt(18)\/sqrt(6))) - sqrt(55))\/sqrt(11))**2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 668 divide 188376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1*-2*3\/18*-1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 586957, 1173956, 1760937, 2347888, 2934797, 3521652, 4108441, 4695152?\nAnswer: 5281773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b - 2. Let m be j(4). What is the remainder when 84 - 9\/6*m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2653870 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -11*w - 121. Give n(0).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -24417730 (base 8) to base 3\nAnswer: -101010102212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -8, -1.403, 296?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 784656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -454 + -124.2. Let o = 483 + p. What is o rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(2 + sqrt(245) + -5 - (sqrt(245)*-1 + -1)))**2*-2.\nAnswer: -1968 + 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvv. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10764 - 624741?\nAnswer: -635725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*j - 54*j + 148 - 24 = 6*c, 3*j + 10*c - 197 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 3*f - i = 15, -5*f = i + 45. Find the common denominator of (-51)\/f*(-10)\/(-16) and -33\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/5)\/g**(3\/7))\/(g**(1\/9)*g**(2\/11)\/g)*((g\/g**(1\/6)*g*g)\/(g**(1\/14)\/g))**(-2\/53) assuming g is positive.\nAnswer: g**(61804\/183645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = g + 3*s + 5, -365*s + 364*s = 5*g - 11 - 20 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -122669367?\nAnswer: -122669367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 88*o**3 - 55*o. Let t(g) be the first derivative of g**4\/4 - g**2\/2 - 438. Give -n(d) + 55*t(d).\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(882)*-3 - sqrt(18))\/(3*sqrt(9)*-6))**2*-1.\nAnswer: -971\/81 + 22*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12834355307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -44\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 2214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0, 1, 4 in descending order.\nAnswer: 4, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 8 - 2. Suppose 2*i + 6 = 2*o, 10 = -2*o + 4*o + q*i. Suppose 0*h + 4*h = -o*s - 8, -2*h = 3*s + 7. Let j(m) = 13*m**2 + m. Calculate j(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -40282.56613 from 1.27.\nAnswer: 40283.83613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 273 + -119. Suppose -4*z - 4*t + 252 = 0, 6*z + o = 9*z - 4*t. What is the remainder when z is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-43)*-1)\/((-2)\/(11*(-40)\/110)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-16)\/((-8352)\/(-6322)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 4. Let x = 11 - l. What is the second derivative of -21*n**4 + 65*n**x - 37*n**4 - 8*n wrt n?\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -209*n**3 + 286. Let o(c) = -8*c**3 + 11. Let r(b) = -3*j(b) + 77*o(b). Differentiate r(x) wrt x.\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a5 - 0?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-4))\/(9\/12). Let l be ((-1)\/(-2))\/(v\/(-68)). List the prime factors of (-1)\/(-1)*(2 - l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 248 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1797637085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13957 - 13911. What is the remainder when 57 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 18761880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -65*y**3 + 2*y**2 - 84*y - 6. Let q(h) = -h**3 + h**2 + h - 2. Let a(o) = p(o) - 3*q(o). What is the second derivative of a(x) wrt x?\nAnswer: -372*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 105, 0, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.22 + 0.82. What is the smallest value in 3, 1\/8, s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2082, 4006, 5932, 7860, 9790, 11722?\n\"Answer: y**2 + 1921*y + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-40)\/(-30))\/(3 - (-14)\/(-6)). Suppose 0*f = -3*a + 2*f + 31, 4*a + 4*f = 8. Suppose a - 67 = -5*r. Put r, 5, -2, u in decreasing order.\nAnswer: r, 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - j**2 - 5*j + 7. What is the remainder when 17 is divided by s(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/125*10)\/((-282)\/(-15)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - n - 182 = 0, 260 = -3*b + 7*n - 2*n. Let g be 1\/(1*(-2)\/b). Suppose -g = -k - 4*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65136674 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.43 + 0.4299998. Round b to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22592 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41.2 + 38. Let v = 2.55 + w. Let k = -5.95 + v. Round k to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1103232211 + -101?\nAnswer: -1103232312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*b - 295 - 384 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/15)\/((-95)\/25). Let y = 16138\/11 - 1467. Which is the nearest to 8?  (a) -1\/4  (b) y  (c) h  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -2*j - 1463*b + 1459*b + 12, j + 3*b = 14 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 412\/(-205) - (-6 - -4). Let t = -883\/2 - -442. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + -2122?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-15)\/60 - 1217\/(-4). Let k = q + -257. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + 6 - (-2 - -17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*u + 3 + 39\/4*u**2 + 9\/2*u**3 + 3\/4*u**4.\nAnswer: 3*(u + 1)**2*(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16732169 + 16732169 - 57*y**2 - 59*y**2 + 189*y**2 - 61*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from vyvudtus?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o**3 + 6*o**3 - 2*o**3)*(-20960*o - 4 + 6 + 21358*o) as w*o**3 + n*o**2 + r + f*o**4 + z*o and give f.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 45 = 85 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 16, e: 2}. Give prob of picking 2 e and 1 f.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/9)\/(1\/(-3)). Let h(g) = 27*g. Let s be h(-4). Let y = -103 - s. Solve l + y*m = 1, 3*m - c = -l - m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 173 + -171. What are the prime factors of (1 - 5) + 279 + x + 1?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 4*c - 96, 2*o - 110*c + 114*c - 6 = 0. Calculate the remainder when 107 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10506941927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b + 1. Let u(h) = -2*h**3 - 2*h**2 + h + 1. Let r be u(-2). Let y be a(r). What is the tens digit of 1 - -1 - (y - 69)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 326*x - 34747. What is r(114)?\nAnswer: 2417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 6:13 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g**2 + 4*g**2 + 1095 - 1118 as n*g**2 + q*g + p and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 14*o - 15. Calculate b(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seventy-two fifths of a microsecond?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 12:23 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1561*f + 1561*f + 874*f**2 - 7316*f**2.\nAnswer: -6442*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of 0*r**3 - 1\/40*r**6 + 1\/70*r**7 + 2*r**2 + 0 - 1\/336*r**8 + 1\/60*r**5 + 0*r + 0*r**4. Factor g(b).\nAnswer: -b**2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1275 is divided by 215.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3053, -3051, -3049, -3047, -3045, -3043?\n\"Answer: 2*z - 3055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12221958 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 424 is divided by 133?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 522\/(-2349) - (-4)\/(-18).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102479 - 32903 = -27*r + 13550. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5b5a + 9?\nAnswer: 5b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3211088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 253 - 103 = g. What is the greatest common factor of 60 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2*sqrt(1008)*-2 + sqrt(1008) + 4*1*sqrt(1008))**2.\nAnswer: -489888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 968.5 and -1101.779239.\nAnswer: -133.279239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*q = -3*f + 22252, -5*q - 4445 = -f. Let i be (-3)\/6 - f\/(-4). Suppose -4*x = 2*u - 424 - 470, -5*x = -3*u - i. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.2 + 0.2. Let o = 5672 - 5672.1. Which is the closest to t?  (a) -4  (b) 1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**3\/7 + 218*t**2 + 24316*t - 6170736\/7 = 0. Calculate t.\nAnswer: -124, 29, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -319 divided by -27.\nAnswer: 319\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 13 = 5*x, -5*d + 13*x - 9*x = -24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*x**3 + 6*x**2 - 6*x**2 + 688*x + 279*x - 967*x + 63*x**3.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13808 (base 11) to base 13.\nAnswer: 8c06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**4 + 0*m**4 - m**4)*(-1 + m + 1) + (m**2 - 2*m**4 - m**2)*(m - 1 + 1) - 3*m**5 + 2 + m**5 + 4*m**5.\nAnswer: -2*m**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of r**5\/60 + r**4\/3 + 5*r**3\/3 + r**2. Suppose 0 = 5*d + 1413 - 1373. What is the tens digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 6:29 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -833, -1668, -2505, -3344, -4185, -5028, -5873?\nAnswer: -6720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, l: 5, v: 4}. What is prob of picking 1 x, 1 l, and 1 v?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0176 + -84.7824. Let y = 64 + v. Let m = y - -21. Which is the closest to 0.3?  (a) m  (b) 0  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of y**4\/12 - 2*y**3\/3 + 7*y**2\/2 + 3*y. What are the prime factors of g(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -17, -28, -41, -56, -73, -92?\n\"Answer: -x**2 - 8*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9937014*r**3 + 7779657*r wrt r?\nAnswer: -59622084*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 7*m**2 - 2*m. Let r be i(1). Suppose -4*g = x - 413, 0 = -3*g + r*x - 0*x + 327. Calculate the remainder when g is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 507a?\nAnswer: 5076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/13)\/(5\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -14\/2958413 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -10*o**2 + 34. Let t(m) = 7*m**2 - 23. Let d = 15328 + -15321. What is d*t(g) + 5*h(g)?\nAnswer: -g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/18*(-3)\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/10 + 13\/2. Let k be 4\/b*(-27)\/(-6). Put k, -0.3, 3\/4 in decreasing order.\nAnswer: k, 3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) -3\/2  (b) -1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 13, 251, 1017, 2575, 5189, 9123, 14641?\n\"Answer: 44*t**3 - 70*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 9*q + 117. Let c = -18725 + 18708. Calculate u(c).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24 + -1. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of -3*t**8\/28 + 199*t**7\/7 - 321291*t**6\/160 - 360621*t**5\/40 - 16443*t**4 - 15876*t**3 + 3800*t**2. Let l(w) = 0. Calculate w.\nAnswer: -3\/4, -2\/3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.619344 rounded to 3 decimal places?\nAnswer: -3.619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/5, -0.014, -2742, 3\/7, 1, 1\/12, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-154)\/(-44)*4\/(-8))\/1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y + y + 3*y)*(-y**3 + y**3 + y**4) + (33*y**2 - 33*y**2 + 15*y**4)*(-y - 1 + 1).\nAnswer: -16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.5584481 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 650 - 617. What is the highest common factor of 77 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -2, -2\/11, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 5, 2 in ascending order.\nAnswer: 2, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - ((-9672)\/(-702) - -2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204) + sqrt(204)*-1*-6)\/((sqrt(12) + sqrt(300))*-6)*4*4.\nAnswer: -28*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/(-40)*3)\/(2 - 58\/20)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(1\/4)\/c)\/c**(-1\/4))\/(c\/c**(2\/7))**(-42) assuming c is positive.\nAnswer: c**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 2*(2*sqrt(612) + sqrt(612) - sqrt(17))*2.\nAnswer: 2 + 68*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 5*i**2 - 4*i + 4. Let u be d(4). Suppose -u*x - 928 = -4*y, -y = -5*y + 16. Let v = -137 - x. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 14*p - 41. What is s(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 241886 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-1))\/t)\/(t*((t**(-2\/7)*t)\/t*t)\/t))**(-3\/10) assuming t is positive.\nAnswer: t**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -335444, -336500, -337556, -338612, -339668, -340724?\nAnswer: -341780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 369280, 369329, 369378?\n\"Answer: 49*b + 369231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1))**(1\/14)\/(a\/((a\/(a\/(((a*(a*a\/(a*a\/a**(-1\/4))*a)\/a)\/a*a)\/a)))\/a))**(-33))**(-2\/47) assuming a is positive.\nAnswer: a**(-2077\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 732054 divided by -102.\nAnswer: -7177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -243*t = -5*j - 244*t + 6293, -4*t = -3*j + 3785. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -8*g**2 - 814*g + 2024. Let i(s) = -s**2 - 40. Let m(x) = -h(x) + 10*i(x). Find u, given that m(u) = 0.\nAnswer: 3, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 99 - 100. Let m = -0.01 - -4.01. What is the third smallest value in k, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -6*r**2 + 4*r + 4. Let p(z) = 5*z**2 - 3*z - 3. Let q(b) = 3*k(b) + 4*p(b). Let a(d) be the second derivative of d**3\/6 + 7*d. Give a(q(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -510 divided by -5?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -22*n - 3. Let s(a) = 45*a + 7. Let p(j) = -3*s(j) - 7*w(j). Let r(t) = 19*t. Calculate p(r(v)).\nAnswer: 361*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 18. Let o = -6 - -9. Suppose 6 = -2*z + 3*h - h, o*z = 5*h - 15. Is c(z) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (5 + 0) - 2 - (-8 + -11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 534 a factor of 482080515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000559576 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -31, -73, -123, -175, -223, -261?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48214*44.\nAnswer: -2121416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 8*y**3 + 5254*y**2 + 3939*y + 1972. Determine s(-656).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 0.13405\nAnswer: 0.040215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 402668387.\nAnswer: 11, 19, 823, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8823 + 8811. Let r(a) = a**3 + 12*a**2 + 2*a - 11. Calculate r(j).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*20*(-4745)\/3796\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -129*t - 1450*t + 734*t + 3*t - 3*t - 2*t + (-3 + 3 + 2)*(t + t + 0*t) - 4 - 2*t + 4.\nAnswer: -845*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**2\/t**(-8))**(-23)\/((t*t**1\/t*t)**(-16\/11)*t**7*t**3) assuming t is positive.\nAnswer: t**(-2608\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 176437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 9:00 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2460 and 415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/422 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -152, -339, -600, -935?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 45 = -5*f + 2*f, 0 = -f + 3*a + 19. Calculate the highest common divisor of 70 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46 - 50.9. Let u = 0.1 - m. Sort 0, u, 1\/11 in increasing order.\nAnswer: 0, 1\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/35, -63, -2 in ascending order.\nAnswer: -63, -2, 3\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (66\/(-9) + -4)*3. Let n = 52 + i. What is the greatest common divisor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.07, 476, -7 in descending order.\nAnswer: 476, -0.07, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 5732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2\/49 + 43\/147. Let s = -0.34 - -49.34. Let l = -48.6 + s. What is the closest to a in l, 3, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 45, 64, 95, 144, 217, 320, 459?\n\"Answer: x**3 + 12*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 + -16143?\nAnswer: -16135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**3 - 623*n**2 + 2480*n - 2476 = 0.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*m = -27*m - 41*m + 69*m + 11242 for m.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 239 times 0.1?\nAnswer: 23.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -3775930 to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 18965.\nAnswer: -1\/18965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 0. Suppose r - 2*r + 9 = a. Let g = r - 7. Sort -4, 3, g in descending order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.8 + 0.3. Let k = -0.7 + q. Let d = 1.2 - -0.8. What is the second biggest value in k, d, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5782 and 25471866.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9380 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 701 + -670. What is the remainder when 171 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*b + 192 + 186. Let t be ((-12)\/(-21))\/((-3)\/b*-6). Suppose t*g - 5*p = 93, g + 1 = -5*p + 10. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1200742*z**3 - 14906648 wrt z?\nAnswer: 3602226*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 6*y**2 - 5*y + 4. Let c(z) = 7*z**2 - 4*z + 4. Let p(h) = -4*a(h) + 5*c(h). Differentiate p(i) wrt i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3364 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158136 = 58*w - 63*w - f, w = 2*f + 31647. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s - 10*s + 3*s + 4*s + s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 65688019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of -3*m**4\/14 - 16*m**3\/21 + 4*m**2\/7 - 5*m - 4. Factor i(p).\nAnswer: -2*(p + 2)*(9*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, n: 2, v: 2}. What is prob of sequence ti?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 11) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 5 - -1) + 8 + 6 + -22\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of -23*n**6\/120 - n**5\/60 + n**4\/24 - 3*n**2. Calculate the common denominator of 627\/(-36) + (-2)\/(-8) and v(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164063800?\nAnswer: 2, 5, 820319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 5*k - 9, 0*p - 3*p = 4*k + 4. Let w be (405\/(-36))\/(2\/p). Calculate the greatest common factor of 18 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -611604*s**3 + 2*s**2 - s + 11343602.\nAnswer: -1834812*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1f9 - -4?\nAnswer: -1f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1944834 = -117*s - 1948929 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-75)\/7 - -11)\/((-45)\/(-98)) and 56\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -7*u + 13. Let f(r) = -1. Let q(w) = w - 7. Let x(v) = -6*f(v) + q(v). Let i = -14898 + 14897. Calculate i*l(o) - 5*x(o).\nAnswer: 2*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s\/(s\/s**6)*s)\/s*s)\/(s\/s**(8\/5)))**(-49) assuming s is positive.\nAnswer: s**(-2107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4302088 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 1932 = -0*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 7\/((-21)\/(-12)). Suppose -3*b = 3*u - 192, 3*b + 46 = -g*u + 176. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 6 = 5*d - 6*a, 0 = -2*a - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 89 - 91 = 0. Let q be ((-6858)\/p + -2)*-10. Let o = q - 23079\/10. Calculate the common denominator of 69\/98 and o.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-6*(sqrt(275)*-1)**2 + 2 + (sqrt(176) + -1 - sqrt(176)))*5.\nAnswer: -8247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*h - 0. Suppose 5*w - h*a = -5 + 60, 3*a - 22 = -2*w. What is the remainder when 41 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3\/7 - 1723245*b**2\/7 - 1723242*b\/7.\nAnswer: -3*b*(b + 1)*(b + 574414)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -49. What is the greatest common divisor of y and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7a098c (base 14) in base 6?\nAnswer: 224544424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-12) + -35*8\/(-240).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002429985 rounded to 7 dps?\nAnswer: -0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**3 - w**3 - 8*w**3)*(-2*w + 3*w - 3*w) + (3*w**2 - 2*w**2 - 3*w**2)*(-3*w**2 + 3*w**2 - w**2).\nAnswer: 14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -q + 5*y + 110, q - 40 = -5*y. Let p = 89\/3 - q. Let u = -13\/4 - -3. Put 1, u, p in decreasing order.\nAnswer: 1, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/1268027 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-102 - -88 - (-3 + 57)) + (4 - -3)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24.6 + -51.4. Let v = -27 - y. Is 12 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47 - 40. Suppose 5866 = o*q - 1953. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/j**(-4)*j*j**(2\/7)*(j*j\/j**(-1)*j)**(3\/34))**(38\/7) assuming j is positive.\nAnswer: j**(34542\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/5)\/(2495 - 2486)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1145466139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = -5*n. Let k be 10\/(-4)*(n + 0). Let l be (155 - -1)*k\/2. Round l to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1b6 (base 12) to base 6\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3474232 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.836505 days to seconds.\nAnswer: 72274.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 greater than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -7*r**2 - 36*r + 8. Let u(k) = -9*k**2 - 37*k + 10. Determine 3*u(w) - 4*z(w).\nAnswer: w**2 + 33*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 679.9254 and -378.\nAnswer: 301.9254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - z + 219 = 3*h, -z - 2*h = -108. What is the least common multiple of z and 8?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 3163?\nAnswer: 12652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 2*r = -k + 9, 2*k = 5*r. Suppose 0 = k*q + 5*m + 330535, -7*q = -3*q - 4*m + 264460. Let j = 44511 + q. Round j to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/260442995 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 454058.5mg?\nAnswer: 0.0004540585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -3*f - y, -14518*f + 3 = -14518*f + 3*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4\/32*11762 - (-6)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1041322 by 2.\nAnswer: 520661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-15))\/((-168)\/(-18144)) - (-4 - 19).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 1.4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**3*p - 161*a**3 - a**2*p - 28*a**2 + 4*a*p + 3615*p wrt a.\nAnswer: 12*a*p - 966*a - 2*p - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19788445.\nAnswer: 5, 41, 83, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/4  (b) 3\/2  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 502, 525, 546, 565, 582?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000010738645 rounded to seven decimal places?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1480\/70 - (1 + -5). Let z = 181\/7 - v. Calculate the common denominator of 9\/10 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*q = -386 - 1546 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9 - -45375?\nAnswer: 45366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of 3*f**6\/140 + f**5\/70 - 5*f**4\/84 + f**3\/21 - 23*f**2\/2 - 36. Let i(a) be the second derivative of l(a). Factor i(w).\nAnswer: 2*(w + 1)*(3*w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -8*x**3 - 5*x**2 - 8. Let n(i) = -2*i**2 - 1. Calculate -j(w) + 3*n(w).\nAnswer: 8*w**3 - w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -89, -290, -675, -1304, -2237, -3534, -5255?\nAnswer: -7460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of -o**6\/120 - o**5\/60 + 5*o**3\/6 - o**2. Let s be r(0). What is the greatest common divisor of 20 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -133\/30 + 23\/5. Let m be -4*(-4 - (-199)\/50). Let a = m + 28\/275. Put o, a, -4\/3 in increasing order.\nAnswer: -4\/3, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3780\/(-548100)*4\/2.\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**9\/q**(2\/5))**(8\/11) assuming q is positive.\nAnswer: q**(344\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - 2231?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3145720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 286*g**2 - 72*g**2 - 11726*g**2 to z + c*g + r*g**2 and give r.\nAnswer: -11512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 297947457 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2 - 3 = -p, 4*p = -3*g + 49. Suppose -c = 5*m + c - 145, 0 = 2*c. What is the remainder when m is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -52 + 72. Let x be (64\/d)\/(1\/15). Let s be (x\/14)\/((-6)\/(-42)). Calculate the highest common factor of s and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -176968128 divided by -6?\nAnswer: 29494688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dhhhhdddhhj. What is prob of sequence jhd?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2*c - 1)*(-5 + 4 + 2)*(-3 + 0 + 4) to the form y + f*c and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 601*g - 304*g + 6*g**3 - 297*g.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.5 - 1.5. Let q = -0.508 + -0.022. Let d = q - 2.47. What is the biggest value in -7, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25412326 to the nearest integer?\nAnswer: 5041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 58 = 2. Let z = 18 + b. Solve 5 = 5*m + 2*u + u, 0 = -z*u + 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29126 + 29126.9. Sort 3, -0.0051, v in increasing order.\nAnswer: -0.0051, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 5*w + 24 = 9, w - 18 = -4*d. Suppose -5*k + z = -6, -5*k = -d*z + 12 - 2. Suppose -u + 42 = k*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1421 and 21112?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16411570 - -599750.\nAnswer: 17011320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6.17?  (a) 0.2  (b) -2  (c) -0.4  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 94813881 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/2*(-2 + 4). Let t(d) = 20*d**2. Let l(q) = 881*q + 9675. Let i be l(-11). Let p(w) = w**2. What is i*p(z) + s*t(z)?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 21*w + 3. Let t(d) = 3*d**2 + 1. Let f be t(1). Let g be b(f). What is g rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91253.\nAnswer: 91253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 5*a = -0*b - 35, -10 = -5*b - 5*a. Let z(u) = -2*u + 3. Calculate z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 188*x**2 - 216*x - 49. Is h(27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -22\/9 in -4\/3, -10\/9, -0.2, 5, 25?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 600146594 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3949 - 15*l + 3949. Let p(j) = 95*j**2 + 2. Calculate p(z(c)).\nAnswer: 21375*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 180 + 65. Suppose -39998 + 13244 = -182*s. What is the greatest common factor of g and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 + (-2 - 7) + -15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 PM and 4:43 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1488, -1482, -1454, -1392, -1284, -1118, -882?\n\"Answer: 2*i**3 - i**2 - 5*i - 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(4\/((-8)\/(-1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -30.3 in -1\/11, 2\/17, 4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 1. Let y = -9.3 + 9. Which is the third biggest value?  (a) y  (b) o  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10\/39398413 or -1?\nAnswer: 10\/39398413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*b - 124853 - 102595 = 0. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = -4*k - 33, 5*v + 89*k = 92*k + 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 66299\/10311 - 2\/1473. Let q = 11\/1417 + -80791\/2834. Find the common denominator of t and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -289 + 322. What is the remainder when 127 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -92*u + 117. Let m be g(1). Let i be ((-39)\/(-12))\/(2\/144). Let p = 509 - i. Calculate the greatest common divisor of p and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1631*q**3 + 874*q**3 + 3175*q**3 + (6 - 2 + 2*q - 3)*(q**2 + 2*q**2 - 2*q**2).\nAnswer: 2420*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3728977595.\nAnswer: 5, 7, 8443, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 75\/4*g + 3\/8*g**4 - 3*g**3 + 0 + 15\/8*g**2.\nAnswer: 3*g*(g - 5)**2*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*h - 13*h. Find g such that 1\/3*g**3 - 4\/3*g**2 + h + 4\/3*g = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-173180.063\nAnswer: 34636.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 10 = -6*u. Suppose o - 8 = -d, 6 = d + 3*o + u. Suppose d*g - 226 = 8*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 353083062.63587 and 5?\nAnswer: 353083057.63587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2855*t**2 - 4*t - 18. Let q(v) = 44860614*v**2 + 62854*v + 282843. Calculate 31427*f(a) + 2*q(a).\nAnswer: -2857*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 608529822 to the power of 1\/3, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -a**3\/3 + 3*a**2 - 8*a - 24. Factor g(r).\nAnswer: -(r - 4)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -233 = -3*l - 0*u + u, -296 = -4*l + 5*u. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20752752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*a - 6*a - 10*a + 17. Suppose -3*m + z = -43, 0*m - 4*m + z + 59 = 0. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 74.5683 + 0.0317. Let r = k + 5.4. Let s = r + -79.99991. What is s rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46694619 or 46694625?\nAnswer: 46694619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4020300 (base 6) to base 15\nAnswer: -3b169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7420 and 630?\nAnswer: 66780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/8)\/((-4)\/(56\/(-42)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1425 (base 14) in base 3?\nAnswer: -11212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -3.6. Let y = f + 1.5. Let u = 5.1 - y. Which is the nearest to 0.2?  (a) u  (b) -1\/3  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2*b**2 + 6*b + 4. Let v be r(-5). Suppose -2*h = -3*h + v. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-2) - (-575559)\/(-54). Is 82 a factor of (-8)\/20 + l\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l - 19*l**3 - 40*l**3 - l**4 + 2*l**2 + 4 + 57*l**3 to u*l**3 + j*l**2 + d + p*l**4 + b*l and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.060686, 0.5, -2\/157, 2\/5?\nAnswer: -0.060686","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8455525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 85961*k - 85922*k + 1053 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -259 and -11603\/45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + 60 + (-3 - 15) - 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*t + 15. Solve -4*k - 5*d = t, 5*k + d + 2 = 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27 + -22. Let v be 1 - (-2 - (-447)\/(-21)). Let g = v + -1544\/63. Which is the nearest to -0.1?  (a) g  (b) 0.3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -7, -2, 14, 5, 19, 4 in decreasing order.\nAnswer: 19, 14, 5, 4, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 153\/12 - (5 + -7). Suppose -2*y = -f - f + 32, -4*y + 5*f = 66. Let s = m + y. Put 2, 4, s in decreasing order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-11265144)\/(-142) - 39\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 37*y**2 + 2*y - 2. Let u be c(2). Let i = 457 - u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -62*y**2 + 1344*y + 31962. What is o(36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1220*q + 10280 = -58*q - 7*q. Let f be 2 - 6\/(-3 + 0). Let u(k) = 3*k - 2*k - f*k + 2. Let d(v) = 2*v - 1. What is q*d(y) - 5*u(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 0 - (-59 + 58).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/61  (b) -0.6  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 2 - y**3 - 2 - 4*y as a*y + t*y**3 + j*y**2 + n and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -250*h**2 + 122*h**2 - 17*h + 95*h**2 + 5*h wrt h.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 12 + 23*n)*(-1 + 4 + 0)*(-3 + 1 + 1).\nAnswer: -69*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 3*h + 2. Let v be x(-2). Let r be (6\/v)\/((-3)\/(-8)). Let c be (1 - 1)\/(6 + -7). Solve c = -2*i - 6, 3*g - 2*i - 7 = r*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 27*p**2 - 28*p + 29. What is the tens digit of u(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 7*z + 265. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 40 - -19. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.33 - 0.33. What is the nearest to 1\/2 in 0, i, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -825*x**2\/2 + 1224*x - 381. Differentiate o(i) with respect to i.\nAnswer: -825","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zvzv when four letters picked without replacement from {z: 3, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.8+-0.102513\nAnswer: -0.902513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -4*x**3 - 11*x**2 + 13*x - 11. Let v(p) = 2*p**3 - 57*p**2 + 119*p**2 + 5 - 57*p**2 - 6*p. Determine -6*t(y) - 13*v(y).\nAnswer: -2*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-12) + (-407)\/66. Which is the nearest to 1?  (a) -1\/5  (b) 0.4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 4*r**2 + 8*r + 6. Let o be k(-5). Let a be (o\/6)\/(3\/(-14)). Let i be -1 - ((-1 - a) + 3 - -2). Solve 2*c = c + i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -452.2751 + 614425.\nAnswer: 613972.7249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*f**2 + 2*f**3 + 7*f**2 - 4*f**3 - 2*f**4 + (-3*f + f + 3*f)*(46*f**3 - 23*f**3 - 14 - 17*f**3).\nAnswer: 4*f**4 - 2*f**3 - f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010022 rounded to six dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from qqqqqqqqnqqqqqqqqq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 91*s**2 + 349*s - 10 - 16 - 350*s wrt s.\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -258*o - 2316. Let p be v(-9). Solve -p*n + 8 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6193 or 6011?\nAnswer: 6193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 754 and 579449.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 91 + -65 + (23 - 26) + -1 + 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 2*n - n + 21, 0 = 5*x - 3*n - 105. Let g be 2 - 36\/21 - (-15)\/x. Is 6\/5 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29\/(-3) - 48\/(-72).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003634685785 to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 9, w: 9}. Give prob of picking 3 i and 1 w.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.4, -0.08, -75, -1\/4, -58?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggggxxgxxgggxxxggxx. What is prob of sequence gxxx?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -262*h - 960*h = 1297*h + 2979*h + 489322 for h.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 0)*(-3*p - 2*p**3 + 3*p) - 2*p**3 - 3 + 3 + p**3 - 2*p + 2*p - 4*p**3 + 0*p**3 - 8*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + -85?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -2. Suppose 0*f + f + x = 0. Let b be (f\/4)\/(5\/(-180)). Calculate the highest common divisor of b and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 101186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*h = 958 + 43 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 168741399.\nAnswer: 3, 433, 129901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18799302 is divided by 1253285?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 237*u + 70 = 202*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/6 + 16\/(-42). Let g = -2 + 1.94. Let h = -0.26 - g. Which is the nearest to h?  (a) -4  (b) -5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*i**2 + 13*i - 16*i + 13*i - 23*i**2 + 14*i.\nAnswer: 5*i**2 + 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/6*4\/(-1). Let i = 4 - x. What is the units digit of 6\/(-5)*(-5)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4823 + 2072 - 2627 - 2079)*(3*x - 2*x - 2*x).\nAnswer: 7457*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 4, 0.1, 1\/97 in ascending order.\nAnswer: -0.3, 1\/97, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 + (-6 - -3) + (-7024)\/878.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/1890 and 109\/70.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5))**(-31)*j**3\/j*j**(-5\/6)\/j assuming j is positive.\nAnswer: j**(-367\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 23*s = -112, 2*s - 135 + 113 = q - s for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2032368*w**2 - 26*w + 11266?\nAnswer: 4064736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 103869287 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8378951473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 40085436 divided by -6?\nAnswer: -6680906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 197*w + 125*w - 324*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 12:08 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23291 is divided by 2546.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of -1934*d**3\/3 - 97*d**2 - 9*d - 7384. Find the second derivative of b(r) wrt r.\nAnswer: -3868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4906.\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 100309285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*g**2\/4 + 174087*g\/4 - 43521 = 0. Calculate g.\nAnswer: 1, 58028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38 - -43. Let f(s) = -3*s**2 + 56 + s**3 + 9*s - o*s**2 - 60. Let t be f(7). Solve -2*l + 2*g = -t, 4*l + 0*g - 20 = g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23\/2569953 < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 10, a: 9}. Give prob of picking 2 d.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 385*u**3 - 565*u**2 + 200*u - 20 = 0. What is u?\nAnswer: 2\/11, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -7.5. Which is the closest to -4?  (a) n  (b) 0.4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(18\/(-10) - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*-1 + (-4 - -6). Let i = 71 + -76. Let m = 5.2 + -5. Which is the nearest to 0.1?  (a) m  (b) i  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -19) + -7 + 0 + 4 - 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 9:13 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 8*s - 15. Let q(r) = -6*r + 17. Let u(y) = 2*i(y) + 3*q(y). Give u(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 7*p**2 - 10*p - 12. Let d be w(-8). Suppose -d*q - q - 495 = 0. What is the tens digit of q*((-10)\/3)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 142072 by -614.\nAnswer: -71036\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1 - -10)\/3)\/1. Let h(c) = c**2 + 4 + 0*c + 2*c**m - c - 3 + 2*c. Give h(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {n: 3, h: 6, t: 1, c: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-5))\/((-19)\/((-380)\/(-8))))\/((-70)\/168).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xulzuzuulzjuxhjxxu. Give prob of picking 1 u and 1 z.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 8*c**5 + 4*c**4 - 12*c**3 - 16*c**2 - 4. Let w(v) = -23*v**5 - 11*v**4 + 36*v**3 + 46*v**2 + 11. Let t(b) = 11*d(b) + 4*w(b). Solve t(f) = 0 for f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 4*h - 49 = 0, 0 = -2*d + 122934*h - 122922*h + 158 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 289199301 to the power of 1\/3, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -3209751.39 to the nearest 1000.\nAnswer: -3210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -84 + 33. Let m = f + 51.0001. What is m rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 703111.9*0.03.\nAnswer: 21093.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11158*x**2 + 5978*x**2 - 22923*x**2.\nAnswer: -28103*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 4*b - 3. Let h(s) = -5*s + 3. Let p be (-3)\/2*4*2\/(-3). Suppose v - p = -8. Calculate v*w(j) - 3*h(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 - 6*q - 8. Let c(a) = -a**3 + 11*a**2 - 12*a + 14. Let l be 6*4\/(-6) - -3. Let k(j) = -11*j - 1. Let g be k(l). Let d be c(g). What is x(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.19 - 21502.6.\nAnswer: -21496.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k**(-8))*k\/k**(2\/17))**(1\/2) assuming k is positive.\nAnswer: k**(151\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 - 4*b + 1. Let j(y) = 21*y**2 + 15*y - 13. Determine -j(z) - 4*u(z).\nAnswer: -17*z**2 + z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 11*m - 3. Let q be (-9 - 5)*(-1)\/2. Let o be v(q). Suppose -k = 5*i - 380, -o = 3*i + 3*k - 314. What is the highest common divisor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 1403342?\nAnswer: -1403343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4 + sqrt(2448)*1 - sqrt(2448)) + -2)**2 + -4 + -5)*6.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 (base 4) in base 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 3*p. Let z(r) = 10*r**2 - 3*r - 2. Let c be z(-2). Let v = c + p. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.23 - -1.3. Let h = 99339.0271 - 99334. Let y = -0.0271 + h. Put q, y, 3 in ascending order.\nAnswer: q, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.535 + -527251650\nAnswer: -527251647.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -161*u**3 - 26*u**2 + 7*u**2 - 41*u**2 wrt u?\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1658 is divided by 411.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 5*s**2 + 6*s + 5. Let g be (10\/(-4))\/((-9)\/(-18)). Let t(b) = -b**2 - b - 1. Let q(u) = g*x(u) - 30*t(u). What is the first derivative of q(f) wrt f?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 = 4*w - 5*i, -4001*i = -5*w - 4002*i - 30 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204*w = -302*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 38691384 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) 1\/3  (c) -1\/5  (d) 0  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 795 is divided by 74.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8721, -3\/5, 1.\nAnswer: -8721, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3859 - -5663. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/5 - 4522\/(-35). Suppose -f + q = 2*f. Suppose 4*n = 2*u + u + 149, n - f = -5*u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (sqrt(119) - (sqrt(119) + -6*1*sqrt(119) + sqrt(119)) - sqrt(119))\/(sqrt(7) + 4*sqrt(21)\/sqrt(3)))*-6)**2.\nAnswer: 288*sqrt(17) + 32292\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/1443 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52 - 39. Suppose -2*r - d = 2*d - p, -2*d - 18 = -4*r. Suppose -r*m + 132 = -m. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 5*b - 4*j + 138, b + 2*j = 130. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-120))\/(5\/(-20))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 16608, 16601, 16594, 16587?\n\"Answer: -7*d + 16615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -2\/7, -14.3, 71, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (60\/(-8))\/(-3)*-2. Let g be 0\/((m + 4)*4). Suppose 0 = 5*s + 2*p - 210, g*s - p = -5*s + 195. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 2*u**2 + u + 3. Let s be z(2). What are the prime factors of (-187)\/(-2) + (-7)\/(-70)*s?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddcmdc. What is prob of picking 1 c and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -21954*p. Let a(f) be the first derivative of f**2 - 3333. What is a(k(t))?\nAnswer: -43908*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -87, -91, -105, -135, -187?\n\"Answer: -i**3 + i**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 107757, 215514, 323271, 431028, 538785?\n\"Answer: 107757*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1270 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*f = -134*f + 13986. Calculate the remainder when 146 is divided by f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 81, -1.1?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 987.33 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.419 - 0.619. What is the second biggest value in v, 0.1, -73?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 78 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 4*b - 1 = 0, 100*i - 104*i - 13 = b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/100 and -149\/24840.\nAnswer: 124200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.2*-2798.34.\nAnswer: 6156.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - v**2 - 2*v - 3. Let g be h(-2). Suppose g*d + w = 35, -w = 2*w - 15. What is the second derivative of -7*m - d*m**4 + 19*m**4 - 7*m**4 wrt m?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = d - 0*d. What is the least common multiple of 18 and ((-6)\/d)\/((-4)\/(-56))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + 3 - (0 - -1). Let v be 102\/y + 2\/(-5). Suppose -v = -5*u + 5. Solve 5*h + 3*x = 35, 2*h - u*x + 17 = -0*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -136 - -304. List the prime factors of w\/(-70)*(-135)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-2 + ((sqrt(130)\/sqrt(490))**2 - sqrt(13)) + sqrt(13) + sqrt(13) + sqrt(117)\/sqrt(225))*-4.\nAnswer: -1360\/49 + 96*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 5*r**2 + 5*r + 3. Let i be c(6). Let h be i\/(-12) + 65\/(-180). Put 2\/9, h, -0.5 in descending order.\nAnswer: 2\/9, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + 2*f - 24 = 0. Suppose 7*l + 32 = 11*l. Calculate the lowest common multiple of f and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 1774*g**2 - 21290*g + 6. Determine u(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143 is divided by 53.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2912 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -4*c - 13 + 29, 13 = 3*c + f. Solve 0 = 5*h - p - 15, -c = -4*h - p - 0*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 4*d. Let a be w(4). Let o be -2 - 1 - -3 - 0\/(-2). Suppose -2*b - 2*v - v = -1, b + v - 2 = o. Put -3, a, b in increasing order.\nAnswer: -3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33501\/6974 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 7) to base 8\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 935707 less than 4098?\nAnswer: -931609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*b - 0, -5*k - 4*b = -3. Suppose -4 = -k*p - 10. Put p, 0, 4 in ascending order.\nAnswer: p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3\/89 - -193\/445. What is the third smallest value in w, -1, 0, -7\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*q**2\/3 - 7582*q\/3 - 341296.\nAnswer: -2*(q + 257)*(7*q + 1992)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffdfdfdslffddffssf. What is prob of picking 1 l and 3 f?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w. Suppose 0 = u - 6 + 2. Suppose 3*j - 4 = -2*z, 4*z + 3*j - u = 10. Let p(m) = -m + z*m - 2*m. Calculate p(h(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -561*v + 578*v - 2516 = 0. What is the remainder when 2955 is divided by v?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -14*z**3 + 273*z**2 + 445*z - 93. What is u(21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/5)*y*y**(-2)*y)**3 assuming y is positive.\nAnswer: y**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1472 and 20497192?\nAnswer: 3771483328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 > 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u**2 - 5*u + 633. Let g(z) = 2*z**2 - 4*z + 637. Calculate 5*g(c) - 4*j(c).\nAnswer: 2*c**2 + 653","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/268344 and -11\/72?\nAnswer: 268344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -62\/19, 4, -10, 46\/3?\nAnswer: -62\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/348 and -35\/9204.\nAnswer: 266916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 7 = 2, 4*l = -4*u + 12. Solve 5*t + 3*p = 18, t = -3*t - u*p + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -163\/3 - -54. Put 3, -2\/11, d, -3 in descending order.\nAnswer: 3, -2\/11, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of 7*c**2 - 1214. Let p(m) = m + 23. Determine p(o(j)).\nAnswer: 14*j + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - 11*t + 7. What is f(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4143 + -100165?\nAnswer: -63022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 38*l + 63. What are the prime factors of q(10)?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2612)\/(-246) - 625\/375 - 9?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*t + 65*t = 1624. Let c = t + 116. Solve -2*x - 3*j = -2*j + 3, -3*x - 5*j - 1 = c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.9774785 + -9.977. Round t to 5 decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 285 and 1815735.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9cd8b4 + 0?\nAnswer: -9cd8b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12697*g + 69756 - 409624 - 469824 = 167977 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -255*w**2 - 584*w**2 - 162*w**2 + (w - 2 + 2)*(-w - 3*w + w).\nAnswer: -1004*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 390*o**2 - 249*o - 172564.\nAnswer: 780*o - 249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0822861 - 0.083.\nAnswer: -0.1652861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 38\/(-4)*(-12)\/(-3). Let c be 4\/(-10) - w\/45. What is the closest to 2\/3 in -1\/2, -5\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 + 35 - 5 + 66*b**2.\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1216) - ((sqrt(1216) - (sqrt(1216) + (sqrt(1216) - (sqrt(1216)*-2 - sqrt(1216))) + 4 + sqrt(1216)))**2 + sqrt(1216) - sqrt(1216)))*-6.\nAnswer: 1872*sqrt(19) + 182496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c + 0*c + 25*c**3 + c.\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssagqgggqs. What is prob of picking 1 g and 1 q?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32946 - -33234. Let t(x) = x**2 - 4*x + 1. Calculate the smallest common multiple of t(5) and s.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*k - 18 - 3. Let j(b) = -65*b**3 + 3*b**2 - 3*b - 1. Let i be j(k). Round i to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*(-148)\/(-61938)*-31.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 88*u - 3. Let d be y(2). Suppose -4*z + d = 25. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*f**3*l**2 - 5083*f**3*l + 2*f**3 + 5208*f**2*l + 15*l**2 wrt f?\nAnswer: -30*l**2 - 30498*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a week in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s - s**2 + 43 + 33 + 3 + 18*s. What is the remainder when 161 is divided by y(19)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1 + sqrt(30)\/sqrt(6).\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 471 + -471. What is the nearest to d in 0.4, -5.2, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, w: 1, s: 3, m: 1, v: 2}. Give prob of sequence vtw.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*o - 2*o - 4. Let q be 5 + o + (-2 - 1). Suppose q = -2*x + 3*x. Let j(g) = -2*g. Give j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/(s*s\/s**(-1\/5)*s)))**24\/(s**2\/s)**(-3\/5) assuming s is positive.\nAnswer: s**(387\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 166283240 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 897, 28 in descending order.\nAnswer: 897, 28, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 1828072\nAnswer: 1\/457018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 35628801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (11457\/268)\/171*-268\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -17618 take away 0.04?\nAnswer: -17618.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 365 and 31105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19.99 - 19.3. What is the second smallest value in d, -2\/19, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 4*f - 364, 3*d - 8*d - 5 = 0. Suppose 5*y + 5*a = f, 0 = y + a + 2*a - 14. Let t be (-2*1)\/((-1)\/2). Solve -t*v - y = -8*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (150\/70)\/(-15) + (-486544)\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 270249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - (-8 + 3)) + (-21 - -4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-3)*-3 + 423. Suppose 0*h - h - y = -5*r, -4*h + 12 = 0. Is 20\/15*-3 + r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 3:49 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 24 * -4\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 95480.65 tonnes in micrograms?\nAnswer: 95480650000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -513 and -476 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of -v**3\/3 - 9. Let q(f) = -7*f + 2. Calculate q(c(r)).\nAnswer: 7*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 5*n - 7 = 0, -4*n - 5 = -5*g + 27. Let m(r) = r**3 + r**2 + 2*r + 1. Let a(o) = -o**3 - 7*o**2 - 3. Let l(j) = a(j) + 2*m(j). Calculate l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 143366938?\nAnswer: -28673387.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -15 - ((-18)\/(-3) + -31)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00171484975 to 7 decimal places.\nAnswer: -0.0017148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1707, -0.5, 0.07, -3?\nAnswer: -1707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 80*g**4 + 7*g**2 - 16*g. Let k(b) = -41*b**4 - 4*b**2 + 8*b. Let r(x) = -3*j(x) - 5*k(x). Find the third derivative of r(h) wrt h.\nAnswer: -840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 36 = 0, -2*t - 2 = -5*o + 43. Suppose 2*a - 9 = -a. Suppose t*q + 15 = 2*i + a*q, 4*i = -q + 25. Calculate the remainder when 26 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 2*h**2 - 2. Let g be (1\/2)\/((-6)\/36*3). Let z be f(g). Solve -4*i + z - 13 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.30549 rounded to 3 decimal places?\nAnswer: 0.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7357 and 63588.\nAnswer: 66830988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -21*g + 6. What is r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -28*b + 28*b - 3*b**2 + 1. Let f be l(-1). Let a(r) be the first derivative of r**4\/4 + r**2 + 2*r + 9. Calculate a(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -5, 3, -1318, -53, 7 in increasing order.\nAnswer: -1318, -53, -13, -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + p = 4, -m - 20 = m - 5*p. Solve -2*x - 6 = -m*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -95.31 to 0 decimal places.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 - 10*t - 8. Suppose 4*z + 29 = -7. Give x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 181.258 + -189.3973. Round n to one dp.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -4*q**3 + 5*q**2 - 8*q + 4. Let d(w) = 5*w**3 - 6*w**2 + 9*w - 4. Let o(u) = 5*d(u) + 6*y(u). Let i(b) = -b**3 + 3*b - 5. Calculate -4*i(z) - 5*o(z).\nAnswer: -z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 414800 and 135420?\nAnswer: 46042800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8885 + -3.1085. Let f = 0.003 - o. Which is the closest to -0.3?  (a) f  (b) -4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30124413 (base 5) to base 2\nAnswer: 111010011011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -5*f + 6, -5*f + 6*d = 8*d - 21. Solve -4*s + 1 - 28 = -f*k, 10 = 5*k + 5*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + d**2 - 1. Let p(o) = -98*o**3 + 3*o**2 - 2*o - 5. Give 3*f(k) - p(k).\nAnswer: 95*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 447510000 to the nearest 1000000.\nAnswer: 448000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -l + 21, p + 5*l + 10 + 28 = 0. Suppose -75*h + 66*h + 324 = 0. Let u(w) = h*w**2 + 18 - 117*w**2 + 14*w + 46*w**2 + 36*w**2. Calculate u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*c**2 + 18235*c - 36514*c + 18216*c.\nAnswer: 13*c**2 - 63*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of -i**6\/720 - i**5\/40 - 3*i**4\/16 - i**3\/6 - 5*i**2. Let z(h) be the first derivative of q(h). Factor z(d).\nAnswer: -(d + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 69 = 5*p + m, -2*p - 5*m = -23. Calculate the highest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*(-13 + -2 - -18). Solve -3*d + 5*y = 3*y - 5, -4*y - 13 = -v*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*i - i - 3*i)*(2 - 2 - 16*i) + 4 + 2*i**2 - 4 to the form t + z*i**2 + d*i and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/18 - (-1175)\/225. Let y(f) = f**3 + 7*f**2 + 7*f + 2. Let m be y(-6). Let x(n) = -n**3 + 4*n + 3. Let g be x(-1). Put o, m, g in decreasing order.\nAnswer: o, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -20773 + 6?\nAnswer: -20765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/23)*s*s)\/s**(-2\/3))\/(s**(-1\/4))**43 assuming s is positive.\nAnswer: s**(3727\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 125 + 3?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of 0 - 1\/6*y**3 + 0*y**2 + 0*y**4 - 1\/20*y**5 - 20*y. Let g be f(0). Solve -4*b = -g*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 6*y**2 + 7*y - 5. Let g be w(5). Suppose -3*s + g*i = -57 - 93, 3*i = 5*s - 234. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-7)\/w)\/w)\/(w*w**(1\/3)*w))**(-2\/23) assuming w is positive.\nAnswer: w**(68\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -339.581 - -339. Let c = x - -0.6. Round c to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 14 = -4*v, 5*v - 3*a = v + 6. Solve 4*p - 2*z - z + 5 = 0, v*z = p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2178 is divided by 318.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**3 + p**3 + p**3)*(-3*p + p + 3*p) + 433*p**3 - 433*p**3 - 187*p**4.\nAnswer: -186*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210944006957 - -0.01?\nAnswer: 1210944006957.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*p = -89*p - 162 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 17 = -5*x, 0 = -6*b + 3*b + 2*x + 16. Suppose 0 = 3*a - 17 + b. Suppose 2*d - 26 = a*l, -2*d = -2*l - 27 + 7. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - 2 - -14 - -4. Suppose 5*x = -0*k + k + v, 2 = x + k. Suppose 0 = -d - x*d + 228. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*z - 2*z = 383, -2*z + 404 = a. Suppose a = -57*r + 58*r. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = s, -3*c - 2*c + 3*s + 22009 = 0. Round c to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17.8 - -17.3. What is the biggest value in -1\/4, n, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*y**4*z**3 + 417*y**3*z**3 - 4*z**3 - 8613*z wrt y.\nAnswer: -64*y**3*z**3 + 1251*y**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -0.5  (b) 15\/7  (c) -5  (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1625*a**3*m**3*v - a**3*m**3 + 6*a**3*m + 2*a**2*v - a**2 + 5*a*m**3 - 4*a*v wrt a?\nAnswer: -9750*m**3*v - 6*m**3 + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 984190 take away 0?\nAnswer: 984190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 10:11 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 9, -5 in ascending order.\nAnswer: -5, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.34 + -14.44. Let r = 2.46 - 0.26. Let q = r + n. What is the second biggest value in -5, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + m + 4*r + 20, -2*r - 6 = -m. Let x(c) = -c**2 - 3*c. Let s be x(m). Suppose 5*o - s*p = 39 - 16, o + 5*p = -17. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 8829\/2*i - 1341\/8*i**3 - 69\/4*i**4 + 13365 - 3\/8*i**5 - 405\/4*i**2 = 0.\nAnswer: -33, -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**3 - 5*w**2 + 3*w - 2. Let r(y) = y**3 + 5*y**2 - 2*y + 1. Let o = -169 + 171. Let p(l) = o*g(l) + 3*r(l). Suppose -2*m = -6 - 4. Give p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (383 - 195 - 188 - 188942*u + 48477*u)*(0*u + 2*u - 4*u) to v + t*u + p*u**2 and give p.\nAnswer: 280930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -245762544 divided by 2671332?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 7 = -13, -3*i = n - 197. Suppose 3*w = -5*w + i. Let x(m) = -m**2 + 11*m - 16. Let z be x(w). Solve -z = -4*r + 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5180293 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 159*a - 63*a + 21.\nAnswer: 96*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -27*b - 759017 + 758612 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*y - 104*y + 22*y + 21*y + 37*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.5 - -0.5. Let r = 0.1 - 0.1. Let i = w + r. Sort 1\/2, i, -1\/3 in increasing order.\nAnswer: -1\/3, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 500362 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -8, -6561, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -10*t + 3. Let b(w) = -6*w**2. What is b(n(y))?\nAnswer: -600*y**2 + 360*y - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 + 9*g**2 + 12*g - 10. Let n be m(10). Let x(b) = -b**2 + 4*b + n*b - 2 - 6 - 3*b. What is the units digit of x(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(3 + (sqrt(180) + 2 - sqrt(180)) + sqrt(180) - (1 + sqrt(180))*-1 - (-2 + sqrt(180) + -4 - (sqrt(180) + 4*(-2 + sqrt(180))))))**2.\nAnswer: 7200*sqrt(5) + 162400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -143 - -80. Let j = t + 95. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1617 - -758216?\nAnswer: 760834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 6}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(72\/363)*7768\/971?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -2*k - 130, -4*d - k + 185 = 68 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 4*d**5 + 68*d**4 - 320*d**3 + 336*d**2 = 0.\nAnswer: -21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 822 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r - 12*r - 46465 + 46456.\nAnswer: -11*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 9039 and -30.1.\nAnswer: 9008.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4177234.8s in hours?\nAnswer: 1160.343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 56891553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 4*y**2 + 13*y - 6. Let s(m) = m**2 + 4*m - 2. Let r be (-2 + -1)*(-35)\/15. Calculate r*s(g) - 2*n(g).\nAnswer: -g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 11:11 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**5 + 5*i**5 - 2*i**5)*(-1 - 4 + 2)*(-16 - 34 + 19).\nAnswer: 186*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -116 - -116.5. Let z be 10\/(-36)*366\/(-610). Which is the closest to 0?  (a) z  (b) t  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*t - 65 = 89 - 13. Let f(w) = -1. Let a(s) = s**3 + 2. Calculate t*a(q) + 6*f(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -563112 (base 7) to base 5\nAnswer: -11141103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20024 (base 5) to base 13.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -q + 2*q - 4, -4*q - 10 = l. Let x be q + -3 - (-2 + 0). Let f be (-8)\/x - 24\/36. Sort -4, f, -3 in descending order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 746 divide 11298170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**2 + 4*m**2 + m**2 + (-2*m**2 - 2*m**2 + 2*m**2)*(-3 + 2 - 2) + 5*m**2 - 2*m**2 - 2*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -13, -280, 4 in descending order.\nAnswer: 4, 3, 0, -13, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 230711659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f - 3*f + 260 = 0. Let w be (f\/6 - 48\/36) + 2. Let i be 2\/(66\/(w + 22\/(-5))). Do i and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, q: 3, w: 1, z: 5, g: 5}. Give prob of picking 3 q and 1 w.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -m + 5*b, 2*m + b = m + 8. Suppose -3*s - 4*f + 7 = -3, m*f - 3 = 0. Solve 0 = s*h - 2*y - 8, 2*y - 3 + 11 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -953360, -343, 4, -3\/4 in descending order.\nAnswer: 4, -3\/4, -343, -953360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 403612908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 174 and 2001.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(57)\/sqrt(3) + -2).\nAnswer: -6 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 456 or 453?\nAnswer: 456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -17*f + 5. Let l be z(-3). Let j = l - 54. Is 1 + 4\/1 + j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3 = 1. Let n = j + 4. Suppose -6*s + 2*s - 2*w + 126 = 0, n*s - 2*w - 60 = 0. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -206 times 0.05429?\nAnswer: -11.18374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001000 (base 2) in base 13?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 65\/(-143)*(-297)\/216?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -34 + -168963?\nAnswer: -168997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28146014?\nAnswer: 2, 13, 449, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 31838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjjjjjjhjjj. Give prob of picking 1 h and 3 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 14) + 1 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1297*z + 1266*z - 1180 - 246 = 0 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (10 - 1) + 1 + -3. Suppose -6*o + 24 = -2*o + d, -3*d = -12. Let v = b - o. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10477446398646 take away -0.04?\nAnswer: -10477446398645.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32447 + 50740. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 5*g + 0*g)*(1 - 1 + 1)*(5*g**2 + 40 - 40).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 104800 to the nearest one thousand.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a*a**(4\/9)\/a*a*a*a*a*a*a*a**0)\/(((a**(-2\/7)*a)\/a)\/(a**(-1\/5)*a)))\/((a**(-1\/4)\/a)**(5\/6))**(-5) assuming a is positive.\nAnswer: a**(8371\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(133)*-2 + sqrt(133)))\/(sqrt(84)\/sqrt(3)))**2 + -3*-4*5*(sqrt(19) + -1).\nAnswer: -221\/4 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -90 - -316. Let x = r - 72. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 not equal to 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2941389?\nAnswer: 3, 11, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/4)\/((-1)\/72). Let o = j + 57. Let p = -189 + 1319\/7. Which is the biggest value?  (a) 0.5  (b) p  (c) -2\/3  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5275*c**3 - 19053*c?\nAnswer: 31650*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 66 - 925\/14. Let u = -21 + 21. Is f > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + ((sqrt(684) - (sqrt(684) + 3*sqrt(684))) + 5 - (sqrt(684) + -2)*5))*-3)**2 + 2.\nAnswer: -11232*sqrt(19) + 395507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 6*s - 3*s + 2*s - 6. Let r(u) = 11*u - 13. Let g(f) = -f**3 - 5*f**2 + 2*f + 6. Let z be g(-5). Give z*r(q) + 9*n(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 5. Let t = 0.5 - 1. Let p be (2 - 1)*(-1 + -1). Which is the closest to 0.1?  (a) p  (b) t  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -71 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 bigger than 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, 1, -4, 17 in ascending order.\nAnswer: -4, 1, 17, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1201101102 - 1110012?\nAnswer: 1122221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - -7. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 13*v**2 + 51*v. Let s be m(-4). Solve 0 = -4*g + 3*l + 3, -s*g = -4*l - 6 + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 2*g**2 - 3*g - 1. Let k be a(-2). Suppose -5 = -k*r + 20. Let j(b) = -b**2 + 3*b + 4 + 3*b - 2*b. Give j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 3*z**2\/4 - 75*z\/4 - 225\/2 = 0.\nAnswer: -5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41\/2, 3, -3\/4, 0.3, 0.4, -226.\nAnswer: -226, -3\/4, 0.3, 0.4, 3, 41\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17f (base 16) to base 11.\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -539277, -1078553, -1617829, -2157105?\nAnswer: -2696381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 10*t - 1 + 14*t + 2 + 2*t. Let b be j(1). Let k be 6\/b + 1252\/36. What is the greatest common factor of k and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47837.63 millilitres to litres.\nAnswer: 47.83763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1875\/19 <= -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 10*q + 15. Suppose 27 = -0*a + 3*a. Let l be c(a). What is the derivative of 4*g**3 - l*g + 6 + 9*g - 3*g wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 20*o**4 + 25*o**3 - 129*o - 20. Let j(k) = -7*k**4 - 8*k**3 + 43*k + 7. Let f(i) = -8*j(i) - 3*l(i). Find the second derivative of f(c) wrt c.\nAnswer: -48*c**2 - 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -284142909*i**2 - 284142897*i**2 + 568285809*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 (base 12) in base 10?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 55524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 861079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 150.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 183, 752, 1707, 3048?\n\"Answer: 193*j**2 - 10*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 6*u**2 + 4*u - 1. Let d be 1 + 136\/(-85)*5\/(-2). What is g(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -699*a*y**5 - 29*a*y**2 + 130*a*y + 12*y**5 + 4*y**2 - 1 wrt y.\nAnswer: -41940*a*y**2 + 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(8 + -15))\/((-15)\/12).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 3\/2  (b) 0.5  (c) 4  (d) 245  (e) 5  (f) 25  (g) -0.01\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = i - 2 + 7, -10 = 5*w + 2*i. Suppose w = l - 5*l - 24. Let r be (152\/(-12) - -1)*l. Calculate the greatest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 400103732?\nAnswer: 2, 7, 31, 460949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - k = v - 4, -5*k + 4*v = 16. Let p(g) be the third derivative of k*g - 1\/24*g**4 + 2*g**2 - 1\/2*g**3 + 0. Give p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-6))\/(((-2)\/(-24))\/(-1)). Suppose -y*u = u - 18. Suppose 5*w + 33 = -j + 8, -u*j + w - 17 = 0. Which is bigger: j or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (8\/4 - 2) + 3. Let j be 40\/60 + 475\/x. Let s = 312 - j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzaaaazazzizzizaz. What is prob of picking 2 z?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53218 is divided by 5912?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1269869 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2200052 is divided by 12791?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 79344 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - 1. Let p(b) = -5*b**3 + 2*b**2 + 4*b - 3. Let u be p(3). Is u\/42*14\/g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/80 and 39\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*k + 2*w - 24 = 0, 0 = -5*k + 2*w + 25. Suppose 1 - k = v. What is the remainder when 20 is divided by (v\/(-9))\/((-2)\/(-33))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-58)\/(-4 - -3))\/(-3). Let r be 2\/9 - 1395\/81. Let t = n - r. Which is greater: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(3*sqrt(110)*1*6)\/(-3*sqrt(1960)))**2.\nAnswer: 3564\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -g**4 - 8*g**3 + 199*g?\nAnswer: -12*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 154 and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + 2)*(-9 - -4). Let g(b) = b + 5. Let o be g(k). Find the second derivative of -2*c**4 - 2*c + o*c**3 + 0*c**3 - c**4 wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(132) + sqrt(132) + sqrt(132) + -3*sqrt(132)*-2 + sqrt(132))\/sqrt(12))**2.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16552769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 12 = 2*b, -2*b - 7 = -2*k - 9. Let h(d) = -6*d + d**3 + 5*d**3 - 7*d**3 + 3 + 0*d**k + 6*d**2. Calculate h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 138479547 to the power of 1\/2, to the nearest integer?\nAnswer: 11768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 9*k + 34. Calculate a(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -329239 less than -329239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 77589*h*y**3 - 126*h*y - 2*h - 272*y**3 + 26488 wrt y?\nAnswer: 465534*h*y - 1632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4194 and 2923.\nAnswer: -12259062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1474 divided by 137?\nAnswer: -1474\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 11*u**2 + 12*u - 50. Let t be m(-9). Let l = -1\/9 + -7\/18. Let a be (-1)\/(-2)*192\/(-1200). What is the closest to l in t, -26, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-8 - (-4 + -3) - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2087.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -x - 15*l + 15, 829*l - 834*l = -x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 135515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32d (base 14) to base 15.\nAnswer: -2be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2*1\/(-12) + (-2817)\/(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of -j**4\/12 + 2*j**3 + j**2. Let f(c) = 2*c. Determine f(a(x)).\nAnswer: -4*x + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1198 - 1126. Calculate the remainder when x is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (-12 - (-2 - (8 + 7)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -196 divided by 98?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*a = -15*a - 30. Suppose -a*i**4 + 0*i**2 + 5*i**5 - 15*i**3 + 5*i**2 + 10*i + 0*i**4 = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i + 8. Let y be h(-9). Solve -y = 3*u - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 16. Let q be r(14). Let l(v) = 2*v + 17. Let p be l(-11). Is q\/p - (-7694)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9506*a*j**3*x - 35*a*j**3 + 141*a*x - 2*j**3 + 2*j**2*x + 403*j**2 + 1284*j*x + 21*j - 2*x wrt a.\nAnswer: -9506*j**3*x - 35*j**3 + 141*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110*z**2 - 59*z**2 - 52*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (5 - 1) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28*8\/(-64)*36\/21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g**5 + 22*g**4 + 179*g**3 + 686*g**2 + 1248*g + 864 = 0. What is g?\nAnswer: -9, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 635409240 divided by 3.\nAnswer: 211803080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of w**2 - 2*w + 60. Let c(v) = -v**2. Calculate m(c(p)).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*p + 2*p**3 - 2*p**3 + 2*p + 35*p - 3*p**3 - 49*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19223929 to the nearest integer?\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 - 13*f**2 - 12*f + 2. Let s be h(-12). Suppose -s*b + 3*r + 24 = 83, 3*b + 82 = -2*r. What is the tens digit of 12\/(-4) - -3 - b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31535)\/(-25970)*(-4)\/51?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, 39680 in decreasing order.\nAnswer: 39680, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6026b2 + -3?\nAnswer: 6026ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-24)\/16)\/((-21)\/4). What is the nearest to -7 in -0.06, n, 3\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63126 + 53382 = -927*h - 471*h - 646*h for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*o - 45*o + 85906 = -159515. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4696*j**2 + 3*j - 834*j**2 - 3*j.\nAnswer: -5530*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -183.1867 - -16.1852. Let p = 167 + w. What is p rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 18*q**2 - 231*q - 43. Let h be o(13). Let n be (-1*2 + 1)\/8. Let t = 0.2 - 0.1. What is the closest to -0.07 in h, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9c15 + 68?\nAnswer: 9c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 10*h. Let l(g) = 7*g - 44. Suppose 13*w - 84 = w. Let q be l(w). Let k be (4\/(-10))\/((4\/q)\/(-2)). Give o(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 205, 10347 in ascending order.\nAnswer: 6, 205, 10347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40281155*b**3 - 106390198*b wrt b?\nAnswer: 241686930*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 900 and 450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 2*m**2 + 0 + (3*m**2 - 6*m**2 + 2*m**2)*(-2 + 3 - 2) + (2*m + 2*m - 2*m)*(-2 - 2*m + 2)*(2 + 2 - 3).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 7738*y + 2085. List the prime factors of a(9).\nAnswer: 3, 23909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161673*h + 97250 = 159728*h for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 296*n - 147*n + 3 - 146*n. Let y be (-3 - -1)\/(-1 - -2). Determine x(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 38*n**3 + 5*n**2 - 4*n. Let f(g) = -19*g**3 - 2*g**2 + 2*g. Give 5*f(c) + 2*u(c).\nAnswer: -19*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5a3 (base 15) in base 8?\nAnswer: -2376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 + 39. Suppose 2*f - a + 2 = 0. What is the second derivative of p**2 - f + 8 - 1 + 2*p wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23379 - 19508. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -630.56 - -627. Let p = 1231.74 + -1251. Let a = m - p. What is a rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -58, -134, -232, -346?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 4*q**2 + q**2)*(4 + 0 - 3 + (1 - 3 - 4)*(-1 + 0 + 0)) + (-7*q + 3*q + 2*q)*(2*q + 0 + 0).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.770183 + -1.216287. Let q = -5.99 - l. What is q rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -165 - -189. Suppose -31*y + h*y + 20195 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from xkkkx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8290 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 4560 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2*k + 398 = 6*k, 4*c - 532 = -5*k. Let f = -22 + c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**6\/720 + 17*n**5\/120 - 53*n**4\/12 - 2*n**2 + 104. Let l(c) be the second derivative of z(c). Give l(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000004182 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 84\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -610, -3202, -9590, -21466, -40522, -68450, -106942, -157690?\n\"Answer: -282*w**3 - 206*w**2 - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/14)\/(5\/(-35)). Let a be 20\/p*(-210)\/(-25). What is the tens digit of 8 + -8 - a\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1159610 - 812911. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 22729.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 984200994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1033421 (base 7) in base 13?\nAnswer: -45515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001646334036 rounded to six dps?\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30454*p**4 - 1289*p**2 + 6*p + 5231132 wrt p?\nAnswer: -365448*p**2 - 2578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2324315864?\nAnswer: 2, 13, 277, 80683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1241, -4, -3, 7 in decreasing order.\nAnswer: 1241, 7, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 770911 is divided by 100?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -268, 5, -2\/6011, 2?\nAnswer: -2\/6011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 2a5?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l. Let m(n) = 3*n + 1. Let z(j) = 3*m(j) + 2*s(j). Suppose -3*i + 26 = q, 3*i + 4*q - 34 = -2. Let o be 2\/i + ((-245)\/(-28) - 6). What is z(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -8 + 2. Suppose 0 = -2*a - 3 + 5. Suppose -a = -b - 5*h + h, b - 16 = -h. Calculate the remainder when b is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/6 - 3)\/(14\/(-6)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 66, 154, 278, 456, 706?\n\"Answer: 3*s**3 + 67*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3*f - 27. Give y(52).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + 235 - 63 - 2*l + 0*l + 120.\nAnswer: -2*l + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (6719 + -147)*(4 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 3:29 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 5*v**2\/3 + 10996150*v\/3 + 6045765741125\/3 = 0.\nAnswer: -1099615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49 - -50. What is the second biggest value in k, 1\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20212 - 2200122?\nAnswer: -2221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16.116 + 0.084. Let l = b - 16.20111. Round l to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-2 + (0 - -2) + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-910)\/78 - 1\/3. Let c be 42\/(6 + m) - -2. Put -2, 3, 14, c in descending order.\nAnswer: 14, 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 57474 - 2068933\/36. What is the common denominator of 17\/16 and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -984 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 268869347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 1 - 1)*(-147 - 205*g + 46 + 99) to the form t*g + r and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 196 - 172 = 0. Solve 4*t = 14*y - 12*y - 14, -3*t - h = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*c**5 - 3*c**5 - c**5 + 0*c**2 + c**5 + 0*c**2 + 0*c**5 + 3*c**5 + 0*c**5 + 0*c + 0*c + c**5 + (-1 + 2 - 2)*(3 - 3 - c**5).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((36\/(-162))\/((-15)\/621))\/(2*2\/10).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - 10*y + 13. Let q be x(-10). Suppose -q + 8 = -j. Solve -2*t = 3*n + 2*n - 25, 3*t - 25 = -j*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1501 (base 6) to base 11.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g*g**(-2\/9)*g*g))**(1\/2))**(-6) assuming g is positive.\nAnswer: g**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3227, -12897, -29011, -51569?\n\"Answer: -3222*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22 + 10. Let h = o - -6. Let j = h - -6.1. Is -4 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 419.7 times 0.001\nAnswer: 0.4197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 140 and 24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/5, 1\/5, 5 in decreasing order.\nAnswer: 5, 7\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-4))\/(-1)*5. Suppose -24 = -3*f - 3*f. Suppose -2*g + 4*g - 174 = m*l, -296 = -f*g - 3*l. What are the prime factors of g?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-30.8.\nAnswer: -61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/5)\/p*p\/(p\/(p**(1\/4)\/p)*p))**(-14) assuming p is positive.\nAnswer: p**(329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -47 - -53. What is the third derivative of -34*p - 9*p**2 - 6*p**w + 34*p wrt p?\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 11*b**2 - 19*b - 9. Let j(y) be the first derivative of -5*y**3\/3 + 9*y**2\/2 + 4*y - 31. Let m(z) = 13*j(z) + 6*n(z). What is m(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((0 + sqrt(171))*-1 - (-1 + sqrt(171) + 1 - sqrt(171))))**2 + sqrt(38)\/(1*sqrt(2)*-1) + 2*(1*sqrt(76) - sqrt(76))**2.\nAnswer: 5*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 284*c + 110*c + 0 + 0 - 397*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 PM and 1:27 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110389 + 110404 = 4*w + 3*x, 0 = -5*w + 3*x - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 1 - 1 - 2*d)*(2*d**3 - d + d).\nAnswer: -4*d**4 - 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8213 or -65695\/8?\nAnswer: -65695\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46800592?\nAnswer: 2, 17, 73, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33524817*i - 33524948*i = -4192 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52.8126 - -8.8356. Let l = 44 + x. Let g = l - 0.023. Which is the nearest to g?  (a) -1  (b) 1\/3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1ed219d7 - -1?\nAnswer: 1ed219d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -89, -190, -331?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7653*t - 7639*t - 84 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -75 and -0.4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -3*j - 10 + 4, -j - 5*x + 18 = 0. Find the second derivative of 4*d**2 - j*d - 17*d - 30*d**2 - 2*d wrt d.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -5. Let u(x) = x + 4. Let b be u(o). Let s(q) be the first derivative of q**3\/3 + q**2\/2 - 5*q - 308. What is s(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a - 97. Let t(g) = -855*g**2. Calculate h(t(m)).\nAnswer: 1710*m**2 - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*u = -88*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 11 + 57*m + 102*m - 160*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0183 and 0.2.\nAnswer: -0.00366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i. Let h(s) = s**2 + 4*s + 8. Give h(b) + 5*l(b).\nAnswer: b**2 - b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or 4070?\nAnswer: 4070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2, -38501, -1, 6 in decreasing order.\nAnswer: 6, 2, -1, -3, -38501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 7:29 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 54 = -2*f, -2*f = 5*b + 2*f - 99. What is the remainder when 77 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b5ae (base 15) in base 6?\nAnswer: -2554332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -4  (c) -196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 125851 by -673.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 955845665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by 19447?\nAnswer: 19\/19447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -4*n - 5. Let t(o) = o. Calculate -f(q) - 3*t(q).\nAnswer: q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -757*l*n**2*u**2 + 12243*l*n**2*u - 106*l*n*u**2 - 23*l*n + 2*l*u + 4*n**2*u + 16*u**3 wrt u.\nAnswer: -1514*l*n**2 - 212*l*n + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/1678980 and -9\/54846680?\nAnswer: 164540040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 50 + -27. What is the remainder when (-406)\/(-6) + ((-55)\/(-15))\/11 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63 times 0.66\nAnswer: -41.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -34*t + 160. Calculate j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 9*i - 12*i + 668, 4*i - 3*p = 876. What is the highest common factor of 80 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 9:19 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 181049524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k - 1. Let b(g) = -33*g**2 + 2*g + 1. What is -2*b(x) - 4*z(x)?\nAnswer: 66*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*b = -2*b + 15, 0 = 4*b + 12. Solve 9 = -4*i + j, -4*i + v*i - 1 = j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*d*g**3*u + d*g**3 + 1610*d*g**2 + 515*g**3*u wrt u.\nAnswer: 4*d*g**3 + 515*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 365, 2, 3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 8:27 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a century in months?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d. Let l(a) = 8*a + 5*a + 5 - 5. Calculate x(l(y)).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (0 + sqrt(153))**2 + 0 + sqrt(153) + -4 + sqrt(153).\nAnswer: 6*sqrt(17) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -347.88 - -348. What is the nearest to -1 in -2\/7, -3\/7, 0, y?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1106.6 - 1107. Let u = -17 - -69\/4. Sort 3\/7, l, -2\/17, u in decreasing order.\nAnswer: 3\/7, u, -2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(-2) - (-14)\/4. Let f(v) = -4*v - 51. Let l be f(-13). Differentiate -b + 0 + s + 4 + l with respect to b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20208 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1561)\/669*1\/(-2 - 6\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -117, -175, -233, -291, -349?\n\"Answer: -58*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 + -37.98. Let n be (0 - -2) + (-96)\/54. What is the closest to n in 4, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -6.4. Let y = -6.8 - 0.2. Let l = 12 + y. What is the closest to -0.1 in l, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 41995340 + -0.5.\nAnswer: 41995339.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 4*j**2 - 3*j + 2. Let o be a(3). Let m be (-5 + (4 - -3))*142\/o. Suppose 9*t - m + 7 = 0. What is the greatest common factor of 12 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 350929 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/122489 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -3\/14  (c) -0.5  (d) -2  (e) -30937\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52469 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1620)\/35 + 2\/7. Let i = 76 + w. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-19817\nAnswer: 1981.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from qufuffffffqf?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1020 (base 4) in base 8?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*p - 24*p - 66 - 123 + 71 in the form g + o*p and give g.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, -2\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**2 - 6*u + 4. Let q be s(-3). Suppose -j + 21 = 3*y - 14, -j + 4*y = -28. What is the highest common factor of q and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 8*i**2 - 9*i + 6. What is the smallest common multiple of h(-9) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 44*g**2 + 29*g - 4. Suppose x = -23*n + 20*n + 8, -4*x = 4*n - 8. Is i(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41017582 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 148717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -86*o - 546*o - 27*o - 27*o to the form f*o + a and give f.\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/5, 0.3, -5, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -3*a**3 + 2*a - 2. Let l(u) = 11*u**3 - 9*u + 9. What is 18*d(y) + 4*l(y)?\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -180 in 148, 5, -1, -3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6109775.\nAnswer: 5, 7, 34913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 825, -909, -2643, -4377?\n\"Answer: -1734*s + 2559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 3 - 23. Suppose n = -5*t + 5*h, t - 4*h + 0 = -19. Let v(p) = p**2 + 3*p + 9. Let m be v(-3). Solve 2*a = -r + 2 + t, -r = 4*a - m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 14) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25426 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 r, and 1 i when three letters picked without replacement from mwwidrmd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -156.37 - -157. Let o = 12.63 - m. What is the closest to 0 in -1\/4, o, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36876 = 13*q - 10977. List the prime factors of q.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -3. Let g be -1 + (-12)\/(-7) + h. What is the third biggest value in g, -6\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 144, -3, 5, 67 in increasing order.\nAnswer: -3, -1, 5, 67, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 24688130.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 274 and 3898.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39407, 39228, 38923, 38492, 37935, 37252, 36443?\nAnswer: 35508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1068*g + 34 - 531*g - 538*g - 34.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*d + 196*d = 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 9\/2, -0.22, 2, 0 in descending order.\nAnswer: 9\/2, 2, 0, -1\/5, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4776 + -4776.0000001842. Round n to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108 + 6*g - 7*g + 108 + 21*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3b5 (base 12) in base 5?\nAnswer: -4234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -1 + (69 + -24 - 35)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of -u**3\/3 - 5*u**2 - 9*u + 5. What is the common denominator of ((-28)\/(-44) + 2)*1 and t(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*b**4 + 3032*b**3 + 4*b**2 - 3031*b**3 - 5*b**2 - b**2 - 26*b as h*b**4 + l + r*b**2 + p*b**3 + v*b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 2*g + g + (-2*g + 7*g - g)*(-2 - 1 + 1) + g + 2*g - 2*g)*(-g**2 + 6*g**2 - 3*g**2)*(2 + 0 - 4).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -321 - 24?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/44 + 4050\/10230.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/6*(-1 - -1). Suppose b + 3*b - 400 = n. Suppose -3*l = l - b. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84\/(-126)*(-3)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*b + 7. Let c(r) = r**3 - 4*r**2 - 3*r. What is c(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12854 + 12854 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**12*j)**(-24) assuming j is positive.\nAnswer: j**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3 + 1602*h**2 + 20512*h + 18912.\nAnswer: 2*(h + 1)*(h + 12)*(h + 788)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + (9 - 0) - -9) + 4 + 54?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 33, -3, 2, 0, -34, -4 in increasing order.\nAnswer: -34, -4, -3, -2, 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0.219  (b) -4  (c) -2  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(10\/((-9 - -8) + 3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + (-2)\/(-4))*946397\/22. Let z = 21507 + d. Calculate the common denominator of 127\/24 and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4038*z**2 - 6575*z - 24. Let f(o) = 4038*o**2 + 6557*o + 27. Let u(t) = 8*f(t) + 9*w(t). What is the second derivative of u(c) wrt c?\nAnswer: -8076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36954.\nAnswer: 2, 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -531*17\/(-1530) + -6 - (-61)\/10. Solve 1 = -3*f + 4*q, -2*f + 1 = 5*q - c*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -512375 rounded to the nearest 10000?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 54a12 + -52e?\nAnswer: 544e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -2*w**7\/7 + 5*w**3 - 14. What is the third derivative of x(d) wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.41*-0.338694.\nAnswer: -0.47755854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 25014587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {r: 2, p: 11}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 55461637 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g - 5 = 4*g, 5*g = -5*a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 = 9*i - 148. Suppose -464 = -4*k + i*l - 30*l, -3*k + l + 348 = 0. Is k a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 32540656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 6, -10, -2 in descending order.\nAnswer: 6, 3, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 1:25 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from kvkgekpk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -50 + 48*v**2 - 47 + 194 - 52 - 2*v - 47. Is 16 a factor of y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 7*v - 3*v - 2*v. Let y(n) = 5*n**2. What is y(g(k))?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of 1 - 7\/2*r**2 + 2\/3*r**3 + 4*r. What is the units digit of q(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -332 - -330.11. Let f = a + -0.11. Let p = f - -1.7. Sort p, 5, -1\/8 in decreasing order.\nAnswer: 5, -1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -da575?\nAnswer: da579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 77 + 1022. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z - 25. Let w be s(-8). Let q be 14\/(-21)*15*-1. Let x be (3\/q)\/((-35)\/25). Are x and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27*i**2 - 462*i - 1968.\nAnswer: -3*(i + 8)*(9*i + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1214 - 1110 - (9 - -8)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6805 + -6798.367. Let k = m + 0.367. Which is greater: k or 0.31?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -263427747 + 263427740.99999985. Let x = -6 - j. What is x rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 - -32. Let q be (8\/(-10))\/((-4)\/l). Solve 4 = r + q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(1\/2 + -1). Let o be (-3 + 1)*6\/a. Solve 4 = -2*w - o*x, -5*x + 27 - 7 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(98)\/(-1*sqrt(2)))\/(sqrt(70)\/sqrt(640)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1905 and 825?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9356*t + 0 + 2 - 9229*t)*(-4*t + 4*t + t**2).\nAnswer: 127*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y + 0*y - 2 - 4*y - 31*y**4 + 19*y**4 to p*y**3 + x + m*y**2 + b*y + i*y**4 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o**5 + 7493685*o**4 - 2807754503400*o**3 - 8423330953480*o**2 - 29974800*o + 11231107938000 = 0. What is o?\nAnswer: -2, 1, 749370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7277*n**2 + 776*n - 6?\nAnswer: -14554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-5) + ((-13336)\/(-20))\/(-2). Which is greater: d or -330?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 25 = 23. Suppose 2*x - 6 = -x. Suppose -3*t - x*t + 225 = 0. What is the remainder when t is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-3 + sqrt(17)*-6)*5)**2.\nAnswer: -93150 - 5400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 10:52 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 101 + -93. Suppose -10*y + t*y = -4. Solve 18 = -4*o + y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 5*t - 364. Determine o(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.33933 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 78877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17215251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304)*-3 - sqrt(19))**2 + 0.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, r: 5, q: 1, v: 1, g: 2, b: 1}. What is prob of picking 1 g, 1 y, and 1 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(117) + sqrt(13)) - (2 + sqrt(13) + sqrt(13) + 1).\nAnswer: -3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -9*y + 1. Let r be a(-1). Suppose 0 = 3*z - 5 - r. Suppose 4*w - 3*w = z*d - 53, 0 = -5*d + 2*w + 51. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (-21)\/(147\/14)*-196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 227.1 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11930810 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -5*y**4\/3 + 35*y**3\/3 + 150*y**2 - 3680*y\/3 + 3200\/3 = 0.\nAnswer: -10, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -355, -773, -1191, -1609, -2027, -2445?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4 + 66\/(-96)*11 and 37\/258.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 8309.35 minutes?\nAnswer: 498561000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 1487*a - 32778. Determine i(22).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 375.43922 rounded to 1 dp?\nAnswer: 375.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**4 - 2*m**4 + 5*m**4 + (-2*m**3 + 3*m**2 - 3*m**2)*(-2*m + 0*m + 0*m))*(0 + 1 - 3).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 715442.\nAnswer: 2, 7, 13, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -181, -421, -757, -1189?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1797 or 1798?\nAnswer: 1798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25102 less than 0.0363?\nAnswer: -25101.9637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1760*z + 6521*z + 438843 + 22974 for z.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -n**2 + 268*n + 813 = 0?\nAnswer: -3, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1843 - 1067 = -30*q. 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 0 = -i - 0*u + 4*u - 5, -37 = -4*i - 3*u. Let o = -6 + -15. Let j be (8\/30)\/(i\/o). Which is the third biggest value?  (a) j  (b) 2\/7  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -71 (base 11) to base 13\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5*w - 1 = 14, h + w - 3 = 0. Let n = 0 + 2. Let k(z) = z**2 - 2*z - 3. Let y be k(4). Put y, h, n in descending order.\nAnswer: y, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 8206.\nAnswer: 24618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9659733 and 416942.5.\nAnswer: 10076675.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1122221110 (base 3) to base 15.\nAnswer: 9a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from jfjjfj.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.23  (b) -14  (c) 5  (d) 8\/5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (78*l**2 - 78*l**2 + 5*l**3 + (3*l**2 - 2*l**2 - 3*l**2)*(-1 - l + 1))*(2*l + 3*l - 7*l).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -481 - 16 = -115*m - 5*r - 62, 2*m - 38 = r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.41423*544.\nAnswer: 225.34112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-11 - (-8466)\/765).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49406 and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 385?  (a) 12  (b) -0.59  (c) 1\/7  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -77 (base 12) to base 10\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28 and 2996.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bcbcc. Give prob of sequence bcc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -r**2\/2 - 10*r - 1024. Determine x(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 118, 94, 68, 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 4\/7, -5.13, 1\/4, 2, -17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -30\/3893651 or -1?\nAnswer: -30\/3893651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -331 + 343. Solve -u*j + 22*j = 50 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -181206 minus -1.1?\nAnswer: -181204.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24 - -42023313?\nAnswer: 42023342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 351*j + j**3 + 31*j - 382*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -552 - -7?\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q + 4. What is the lowest common multiple of 4 and w(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*g + 74*g + 39*g.\nAnswer: 131*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3799, -3797, -3795, -3793, -3791, -3789?\nAnswer: -3787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21712 - 262246 = -18*x. Does 83 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 times -0.159\nAnswer: 0.00318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 9.931447ns?\nAnswer: 0.000000009931447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 25\/4 of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 3*z - 15, -5*z - 15 = -5*r + 2*r. Let i(s) be the first derivative of 5\/6*s**6 + 4*s**4 + 0*s**2 - 4\/3*s**3 - 2 + z*s - 17\/5*s**5. Factor i(g).\nAnswer: g**2*(g - 2)*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 2*o - 1. Let r be y(2). Suppose 6*x - 27 = r*x. Suppose 52 = 2*u + 2*l, -5*l = u - l - 23. What is the greatest common factor of u and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5119.\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 5*t - 8. Let y(g) = 6 + 15*g - 2 + 0. Let x be y(-1). Let h be (5\/(6 + x))\/((-1)\/(-6)). Give l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 7608*w - 7585*w - 7 + 3 - 11 + 3. Calculate i(-3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12409706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 131 + -152.2. Let f = 27 + p. Round f to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -25.787194 and 2.7.\nAnswer: -23.087194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(110) + (sqrt(110) - -2*sqrt(110)) - sqrt(110)) + sqrt(110)) - sqrt(110))\/((sqrt(80) + sqrt(80) + sqrt(80)*-1)\/sqrt(8)).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-30))\/((-221536)\/25760)?\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 420308*c - 1260919. What is p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w - 3*c + 15, -6*c + 2*c = w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - r**2 - 14*r**2)*(5*r - 4*r + r + (-3 + 6 - 4)*(0*r + 3*r - 2*r)).\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -22. Let k(j) = -9*j. Let x be k(h). Suppose 0 = -4*f + 788 + x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.5 + -6.5. Let p = -0.982 + -0.048. Let u = p + -1.97. Which is the second smallest value?  (a) -2  (b) u  (c) -1\/6  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 418 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*o + 2*o + 2*o)*(2 + 0 - 4) - 2 - 8*o - 16*o + 44*o to the form t*o + a and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and (354\/(-5))\/(80\/(-200))?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*g + 3*g - 15*g)*(-49 + 13 + 18).\nAnswer: 108*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-190)\/(-825) + (-38)\/(-285).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 11  (b) 17  (c) -42  (d) -2  (e) -1\/7  (f) -1  (g) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001039829 rounded to six decimal places?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9464633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 24*q**2 + 4. Let c be w(-2). Suppose -f + 10 = -10. Calculate the greatest common divisor of c and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**0*o)\/o)\/(o*o*o*o*o**2))\/(o\/(o**(1\/3)*o))**40 assuming o is positive.\nAnswer: o**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 3*g = -2*g - 17, 3*u - 14 = 5*g. Which is the third smallest value?  (a) -3\/5  (b) -3  (c) u  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -25 - 5. Let z be ((-15)\/(-2))\/(j\/(-8)). Let s = z + 2. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000158529 rounded to six decimal places?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3 - 325116*j**2 - 8777375*j + 9102492.\nAnswer: -(j - 1)*(j + 28)*(j + 325089)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/3 - 63341110*x\/3 - 1003024054008025\/3.\nAnswer: -(x + 31670555)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**2 - 5*j + 4. Let n(c) = c**2 - c. Determine 5*n(b) - z(b).\nAnswer: 3*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 200672291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.1, -40, -7\/2, 5, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 264\/72 - 637\/(-39)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 389450458?\nAnswer: 2, 31, 6281459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004922746 to 5 decimal places.\nAnswer: -0.00492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/5*(-6)\/14.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0)**41*t*t**(2\/9)\/t*(t*t**(1\/9)*t)\/t assuming t is positive.\nAnswer: t**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-2\/67)\/(((g*g**24)\/g)\/g) assuming g is positive.\nAnswer: g**(-1543\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1240698 - -1812929. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1171 + -1019. Suppose 2*y + s - 18 + 5 = 0, -6 = -2*s. Suppose 3*w + y*l = 6*w - z, 0 = 4*w + l - 172. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-3)*53\/1060*408\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2 = -2, 26 = 4*i + s. Let j(g) = -g**2 + 7*g + 1. Calculate j(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29.934 + 0.066. Let p = r - 33. Which is the third smallest value?  (a) -0.5  (b) p  (c) 3\/2  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242009 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10941755*-1.\nAnswer: 10941755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (9 - 38) + 42\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-4))\/(3*(-1)\/1)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -679898, -1359807, -2039716, -2719625, -3399534, -4079443?\nAnswer: -4759352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 5:51 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 38081980, 38081979, 38081978, 38081977, 38081976, 38081975?\n\"Answer: -c + 38081981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243*l + 5756 = 394 + 988 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -341 - -345. Solve -4*z + 3*z - 2*s = 0, m*z - 3*s = -11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.31838 and 0.1.\nAnswer: 0.41838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -105*t + 7474 - 11884 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50355.\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*a + 815491*a**2 - 815545*a**2 - a - 3*a.\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 315230 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x - 22. Let i be f(-5). Is -1 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mfffmm. Give prob of sequence mmm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s**2 + 6*s - 7. What is the tens digit of d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.8565570336 + -3080.8568349336. Let g = a - -3076. What is g rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 57*k**2 + 69178170*k + 7281912.\nAnswer: 3*(k + 1213652)*(19*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 3*r - 10 = 13, 0 = -5*u - 3*r - 5. Suppose -u*v + 5 = -v. Suppose -2*k = -4*k - 2*j + 82, -2*k = v*j - 88. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 3*h = -576, 2*y + 10*h - 388 = 7*h. Let u = 198 - y. Solve j = 2*j - 2, -5*j = -4*d + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1068 and 718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1760)\/66)\/10*-6*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from ggrzmmxgzzzd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 0.6. Let l = -0.3 + 3.3. What is the third smallest value in l, 0.3, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 21*p + 7. Let q(b) = 78*b + 27. Let y(d) = -4*q(d) + 15*x(d). Suppose -8*s + 11 = 27. Let a(t) = -t**2 + 2*t - 2. Give s*y(i) + 3*a(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 4*v - 180, -11*h + 8*h + 270 = 9*v. Calculate the remainder when h is divided by 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49a67a (base 14) to base 10.\nAnswer: 2525764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 0*d**2 - 2*d**2 + 0*d**2. Let b(u) = -4*u**2. Let o(g) = 2*g**2. Let c(i) = -b(i) - 4*o(i). Calculate p(c(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1700566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -4*m - k - 9, -m - 3*k + 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (3 + 3 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + -6345?\nAnswer: -6340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 33*s + 3. Let l(x) = -49*x - 4. Let d(v) = -5*l(v) - 8*m(v). Let f be (0 - 10\/5)\/1. Calculate the remainder when d(f) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 3*r = -9222, 3*r - 5016 = -o - 1922. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 802471 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 79905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t*t*t*t**(3\/5)\/t*t)*t*t**(1\/7)*t)\/((t\/(t\/t**(2\/5))*t)\/t**(3\/4))*t\/t**7*t**(-4)\/t*t*t\/(t\/(t\/(t\/t**9)))*(t**(-8)*t)\/t assuming t is positive.\nAnswer: t**(-311\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2*(1 + sqrt(684)))**2.\nAnswer: 168*sqrt(19) + 2785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 + 9*b**2 + 8*b - 5. Let l be o(-7). What is the derivative of l - 63*s**2 - 53*s**2 + 23 + 13 wrt s?\nAnswer: -232*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -z + 8. Let g = 11 - z. Find the second derivative of g*b + 4*b**2 - b**2 - 4*b**2 - 2*b wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**5 - 20*g**3 + 153*g**4 - 40*g**3 - 123*g**4 + 50*g**2 - 15*g.\nAnswer: -5*g*(g - 3)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -132616 + 10?\nAnswer: -132606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -204 divided by -6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 957893801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3*sqrt(2448))**2.\nAnswer: 66096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22504870 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -336 = -33*v - 9*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 77 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2969 less than or equal to -1550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 + 14. Let c(d) = d + 2. Let m be c(f). Solve 3*u - m*a - 20 = -u, -16 = -4*u + 3*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 123 - 61 = 4*r + 58, -2*b + 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/(-3*sqrt(10)) - sqrt(11) - (sqrt(11) - -3*(sqrt(22)\/sqrt(2))**2)) + (sqrt(11) + 3*sqrt(11) + -4 - sqrt(275)*1).\nAnswer: -37 - 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41*t + 140*t**5 - 97*t - 1 - 230*t wrt t?\nAnswer: 2800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -5, -9 in ascending order.\nAnswer: -9, -5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 0  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + m + 10 = -w, 5*w = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, 8, 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 - 4)\/((-14)\/2). Let b be 12\/(-21) + q + (-50)\/(-14). Let c be (-5 - (2 + -2))*-1. Solve -b*v + 8*v + c = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -205 divided by -41?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12463 and 2299?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5*h - 6. Let n(a) = -15 + 8*a + 4 - 5*a + 6*a. Let z(b) = -6*n(b) + 11*w(b). Let i = -48 - -44. Let r(q) = -q**2 - 4*q. What is i*z(s) - r(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of -s**6\/660 + s**4\/44 + 2*s**3\/33 + 97*s**2. Factor z(h).\nAnswer: -2*(h - 2)*(h + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2. Let v(c) = -22040*c. Determine v(p(h)).\nAnswer: -22040*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46897577 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 617 equal to 618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -5. Let v = -12.9 - -10.9. Which is the biggest value?  (a) l  (b) -2.1  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -746668, -745556, -744444, -743332?\n\"Answer: 1112*r - 747780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 38.69 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14.6 less than 0.3694397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2*i. Suppose i*h = -4*h. Solve -3*l + z = 7, h*l = 2*l - 3*z + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -557 - -158. Let j = q - -341.2. Let v = 58 + j. Which is the third biggest value?  (a) 0.5  (b) -9  (c) 3  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -5, 4, -4, 0 in increasing order.\nAnswer: -5, -4, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*q**3 - 62*q**4 - 2*q**2 + 9*q**3 - 11*q**3 - 8*q**2 - 87*q**4 wrt q.\nAnswer: -3576*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the third derivative of i**5\/60 + i**4\/6 - i**3\/3 + i**2. Suppose 0 = -18*y + 410 + 328. Suppose y = -4*g + 25. Calculate v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 - l**2 - l - 11. Let z be d(-3). Solve -3*a + z = -5*h - 14, -h - 18 = -5*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 + (-16)\/(-12))*-9. Let w be (-4)\/x + (-48)\/(-18). Suppose -26 = -4*u - w. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -333*v - 10 + 10 + 662*v - 328*v. Let g(x) = -x**2 + 125*x. What is g(o(u))?\nAnswer: -u**2 + 125*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4398, -4395, -4392, -4389, -4386?\nAnswer: -4383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0 - 19*x**2 + 3*x**3 + 0 wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 3*h - 2. Is w(12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 1344.\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1288, 5424, 12302, 21922, 34284, 49388?\n\"Answer: 1371*p**2 + 23*p - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i - 128*i**4 + 64*i**4 + i**2 + 37 + 67*i**4 + 4*i**3 + 30 to c*i + n + h*i**4 + f*i**3 + k*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, -277, -6, -3 in descending order.\nAnswer: 4, -2, -3, -6, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 200.157 + -200. Let v = w + -0.257. Put -4, v, -3, -1 in increasing order.\nAnswer: -4, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1253529 and -7?\nAnswer: -8774703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 15*n**2 + 11*n - 24. Let s be ((-16)\/10)\/(4\/(-30)). What is the remainder when (-205)\/(-4) + s\/16 is divided by j(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 281624293 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 6) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 9:10 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-10)\/(-15))\/((-1)\/3). Let q = -33 - -35. Let m = q + f. Which is the biggest value?  (a) -4  (b) m  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -783030 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 + -3)\/((-2)\/8). Let j(g) = 4567*g**2 - 2*g - 2. Let z be j(4). Suppose -s*u = -o - 304003, -z - 2935 = -u - o. Round u to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -30. Let g = 2234 + -2241. Let r = x + g. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {c: 1, t: 1, s: 3, k: 4, j: 2, d: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 4*w - 1. Let j be k(3). Let a = 0.3 - 1.3. Let r = 237.1 - 237. Put r, a, j in ascending order.\nAnswer: j, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1902046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 456 is divided by 101?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.92 - -0.08. Let k = -2.8 + d. Let f = -0.3 - -0.4. Is f less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/4 - (-174280)\/(-160). Let n = 1629 + b. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w. Let q(c) = -55*c. Let a(b) = -q(b) - 30*v(b). Let u(z) = 2*z. Calculate 3*a(g) + 7*u(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (f**2 + 3*f - 3*f)*(6*f**2 - 4*f**2 - f**2)*(-6 + 17 + 23) to the form u*f + x + z*f**3 + w*f**4 + o*f**2 and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 69393.37 years in millennia?\nAnswer: 69.39337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/6*((-90)\/4)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 585, 1163, 1729, 2277, 2801, 3295, 3753, 4169?\nAnswer: 4537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2159 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (21\/(-56))\/(-5 + (-102)\/(-24)). Which is the nearest to -0.3?  (a) 0  (b) -6  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o**2 - 3*o**2 - 6*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0.045  (b) -31  (c) 0.3  (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 358 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 203*f**4*g - 9*f**2*g - f**2 + 5*g wrt f?\nAnswer: 4872*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-24))\/((-201)\/(-1072)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1218 by 6.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1054 - -5097. List the prime factors of k.\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 1. Let v(k) = -2*k + 15. Let d(i) = 6*q(i) + v(i). Let l be d(9). Solve l*a = 3 + 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -66.562 in 0.4, -0.2, -2\/5, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -28437.8272 to the nearest integer.\nAnswer: -28438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23 + 11. Let v(d) = -d**3 - 9*d**2 - 19*d - 3. Let x be v(-8). Calculate the highest common divisor of j and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ovtnmtm. Give prob of sequence vmo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**3 - s**2 + 2*s. Let y be i(-2). Let n = 36 + y. Calculate the highest common factor of 24 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 3*x + 5*r + 32 = 0, 5*x + 24 = -r. Does 15 divide 81 + 1\/(-2)*x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 7*k**3 - k**2 + 2*k - 1. Let c be r(1). Suppose -3 + c = 2*n. Let l(j) = 3*j - 3. Let d be l(n). Solve 4*p + d*y = 2, -3*p - 3*y - 2 + 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2146342 (base 7) in base 6?\nAnswer: -5353544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 994, 2014, 3032, 4048, 5062, 6074, 7084?\n\"Answer: -c**2 + 1023*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/3)\/(8\/(-1728)). Calculate the greatest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22411527113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1012 + 2877 - 947 = 172*a + 5046 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3392 - -3402. Put k, -1, 7 in descending order.\nAnswer: k, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (264\/180*5)\/(2\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 3*i - 90, 5*i - 2*r - 48 = 3*i. Suppose -k + i = 2*k. Find the third derivative of 10*u**5 - 14*u**5 - 5*u**2 + k*u**5 wrt u.\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f**4\/5 - 9*f**3\/5 - 161*f**2\/5 + 441*f\/5 + 5488\/5 = 0. Calculate f.\nAnswer: -7, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -379 = -7*p + 41. What is the highest common factor of p and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21 - 19597949087.\nAnswer: -19597949108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/4640 and -73\/490100.\nAnswer: 3920800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 236*a - 2 as u + x*a and give x.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 2 m, and 1 h when four letters picked without replacement from {o: 1, h: 2, b: 4, d: 6, m: 4}?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-18)\/21)\/(1\/28). Let z be -1 + u*(-8)\/3. Suppose -z = -0*a - 3*a. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of t**3\/6 - t**2\/2 - t. Let f be z(5). Solve f*o - 17 = 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9372902 to the nearest integer?\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + -0.004230755221?\nAnswer: -6.004230755221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (162\/729)\/(2\/(-2)). Let o = -97\/840 + -1\/56. Which is the nearest to 0.6?  (a) k  (b) o  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 2*m**2 + 19*m + 30. Let t be d(6). Which is smaller: t or -11\/31?\nAnswer: -11\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 36  (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*o + 2 = z + 48*o, 11*z - o + 3 = -8*z + 41 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 10*n - 88. Let k be p(9). Solve -2*r - k*r = -8, -2*x + 3*r = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-24)\/(-14))\/((-8)\/(-28)). Suppose -4*a + 17 - 5 = 0. Let o be (7 + -6)\/((a - 0) + -2). Solve o - s = -3*b - i, -i + 2 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -63, -55, -43, -27, -7, 17, 45?\n\"Answer: 2*j**2 + 2*j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1027452026.\nAnswer: 2, 2293, 224041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2015 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -168*g - 3193. Let u be c(-19). Suppose 5 + 10 = 3*i. What is the nearest to u in 0.3, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mem when three letters picked without replacement from {d: 1, u: 3, m: 5, s: 1, e: 1, j: 2}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 91131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x + 6475 = -13077. List the prime factors of x.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 754.7 rounded to the nearest ten?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 143 = 9*h. Let k(l) = -l**2 + 20*l - 8. What is the remainder when k(h) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (119 - -3) - (41 + 47 + -82)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 12:05 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 175\/4 + -43. Solve 3\/4*d + 1\/4*d**3 + 1\/4 + u*d**2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 0*o + 2*o + o - 15. What are the prime factors of v(10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {a: 7, p: 2, g: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.2352 rounded to 2 dps?\nAnswer: -3.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3106671979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*i + w + 16 = 0, 3*i - w = 40. Let u(v) = -v + 2*v - 3 + 2. Let l(m) = -3*m**3 - 12*m + 12. What is i*u(t) + l(t)?\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(((-6)\/(-2))\/9). Suppose x = -a*x - 16. Let z(u) = -u**3 + u**2 - 2*u + 3. Is z(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*b + 17*b = 48 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z = 715 + 40986. What are the prime factors of z?\nAnswer: 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 40286893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -98*u + 1613 + 249. Calculate the greatest common factor of u and 12331.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 6*p**2 - 24*p + 9. Let z be u(4). Suppose 0 = -2*l - 2*l + 8. What is the third derivative of 2*x + z*x**4 - 13*x**4 - l*x + 4*x**2 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62.99882 nanometers in millimeters?\nAnswer: 0.00006299882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/1741572 and 61\/68.\nAnswer: 29606724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 1\/2  (c) -6  (d) 0.2  (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 9 = 27. Let y = a + -9. What is the third derivative of 13*d + 2*d**2 + 2*d**y - 8*d**3 - 13*d wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w + 55. Let k be r(15). Let t(o) = -o**2 + 29*o - 9. What is the units digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 8*s**2 - 9*s - 8. Let f(k) = -8*k**2 + 10*k + 9. Let w(y) = -5*f(y) - 6*m(y). Let d be w(4). Let i = 149 - d. Is 40 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 11:50 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37 + 46. Calculate the highest common factor of 6 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7598 = -510*b - 9465 - 7927 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-7 - -22)\/((-6)\/(-4)). Let l be (-4)\/f*(0 - 1). Which is the nearest to 1?  (a) -0.3  (b) l  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1839 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: Suppose 43*u + 77 - 808 = 0. Solve -1 = -f + 2*n, -n = f + 3*n + u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2465252 by -616313.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/24 and -53\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -382 + 201 + 146 - 75*a to the form n*a + d and give n.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 4*h**2. Suppose -o + 4*z = 8 + 4, 0 = -2*o + 4*z - 16. Let w(l) = 424 - 424 - 4*l**2. What is o*r(q) - 5*w(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b + 809 - 809 - 18*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 5345005?\nAnswer: 5345011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -186*l**4 - 12198*l**3 - 4*l**2 - 1077781*l + 9?\nAnswer: -2232*l**2 - 73188*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.225 - 4.775. What is the biggest value in u, -1\/3, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 7860 = -14*m. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from doodofcdddccdoc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -4843 + 31*d - 5*d + 4865 - d. Let g be u(-1). Which is greater: g or -13\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of h**7\/315 - 4*h**6\/315 - h**5\/210 + 4*h**4\/63 - 4*h**3\/63 - 2*h**2. Let x(m) = 0. Calculate m.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24363802?\nAnswer: 2, 3313, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 6325739*o**2 - 2*o + 1. Let x be i(1). Let n = x + -1638368583\/259. Let a = n - -95\/37. What is the common denominator of a and -11\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 d when three letters picked without replacement from {q: 5, d: 3, l: 5, c: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*l + 64*l = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18329 - 18328.97. Let n = -2670\/11 - -243. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/7 - (-1)\/448*-248. Let k = 10 - 14. Sort a, k, 0.1, 5 in descending order.\nAnswer: 5, 0.1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14.662*-1.5\nAnswer: -21.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -15.5?\nAnswer: -77.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y**3\/5 + 723*y**2\/5 - 1437*y\/5 + 717\/5 = 0 for y.\nAnswer: 1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 362415392.\nAnswer: 2, 557, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3 + 1731*g**2 - 11880*g - 51300.\nAnswer: -3*(g - 570)*(g - 10)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 5*x + 21, 6*q + 29 = 2*q + 5*x. Put q, -4, 5 in descending order.\nAnswer: 5, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -59.5 + 60.378. Let v = j + -0.678. Sort 2\/7, -2, 1, v.\nAnswer: -2, v, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -27, 2\/7, 11\/1238 in decreasing order.\nAnswer: 2\/7, 11\/1238, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.084, 14\/97?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 7.76. Let n = -0.2400104 + f. What is n rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f**2 + 2*f + 1. Let y be b(-1). Let l(d) = -2*d**2 + 2*d**2 - y*d**2. Let r(v) = 1 - 1 - 2*v. Determine r(l(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 483415536 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -5\/22?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -115*d**4 + 7370*d**4 + 329277*d - 328366*d wrt d.\nAnswer: 87060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 11 = -u. Solve 5*r + 17 = -4*g, u*r = 5*g - 0*r - 30 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 37 = -12. Let j = 28 - o. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**3\/3 + 9*y**2\/2 - y. Give u(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 11*i + 93. Determine v(8).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/18*7\/28)\/((-5)\/(-150))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*v - 51 + 15. Suppose 5*i - 4*i - 2 = -4*n, -5*n = 2*i - v. Solve n = -5*r + 5 + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 4, -334, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 684978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 12, 25, 40, 57, 76, 97?\n\"Answer: l**2 + 10*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 609 and 4379?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/286*(9374\/(-172) + 61).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.198, 59426, -1.\nAnswer: -1, -0.198, 59426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -12*r**2 - 6*r + 1. Let v be n(-4). Let o = v + 754. Calculate the common denominator of (-38)\/(-34) + -1 + o\/68 and 69\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 - 5*q + 1. Let r be 123\/3 - (4 + -9). Suppose -r*g + 32 = -50*g. Let x(t) = -2*t**2 - 8*t + 1. Give g*y(l) + 5*x(l).\nAnswer: -2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -356.591179 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -19, 1, 39, 95, 169?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6275412 by 583.\nAnswer: -10764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -9\/11  (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 10046315 and 30.2.\nAnswer: 10046345.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25 in 0.3, 0.2, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -68095 - -171434. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/562280 and 73\/8?\nAnswer: 562280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 244 + -2192\/9. What is the closest to 3\/4 in t, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t**2 - 20*t + 239. Let u(f) = -4*f**2 + 24*f - 235. Give 5*u(s) + 6*z(s).\nAnswer: -2*s**2 + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s**3 + 410 + 403 - 1212 + 399.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60066 is divided by 57575?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -4*m**3 - 2*m**2 + 2*m - 2. Let p(y) be the first derivative of -9*y**4\/4 - 5*y**3\/3 + 5*y**2\/2 - 5*y + 1. Calculate 5*j(k) - 2*p(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 25336366 and -0.2.\nAnswer: -5067273.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -21, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -10*d**3 + 7*d**2 - 5*d - 5. Let m(c) = 11*c**3 - 8*c**2 + 6*c + 5. Determine -5*m(s) - 6*o(s).\nAnswer: 5*s**3 - 2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - -1e01?\nAnswer: 1e03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48055 is divided by 2184.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + 2*x**2 - 2*x**2)*(-3*x + 4*x - 2*x) - 2*x**3 + 0 + 0 + 3*x**2 + 1676*x**3 + 5*x**2 - 1724*x**3.\nAnswer: -49*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o - 65. Suppose 48*n + 119 = 1079. Determine c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 458*q + 812 = -446*q + 932*q for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 6*t - 3*t - 6, 7 = -r + 4*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7076.\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2260 + 0?\nAnswer: -2260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/18 - -1)\/(8\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -0.99.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 3. Let t be 3 + m\/((-6)\/68). What is the units digit of (1 - t) + (-7)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k**4\/3 + 670*k**3\/3 - 4880*k**2\/3 + 7730*k\/3 - 1175 = 0.\nAnswer: -141, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 - 85 = 14*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 257 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h - 5. Let b be n(5). Let s(t) = -739 + 739 - b*t**2. Let v(j) = -4*j. Calculate s(v(f)).\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let w = 129384 - 72493. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.20691 * 92.4\nAnswer: 19.118484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 3) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 6:58 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -2  (c) 54  (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13044 - -13032. What is the nearest to 15 in 3, l, -0.1, -5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (59\/(1298\/(-132)))\/((-1326)\/(-340)).\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -30391.1978\nAnswer: -151955.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -232 + -2101?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -82 + 81.99999903. What is c rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(168)\/(sqrt(12)\/(sqrt(6)\/sqrt(3) + sqrt(2))))\/(1*sqrt(144)*-4 - 6*(sqrt(144) - (sqrt(144) - (sqrt(144)*2 - sqrt(144))))).\nAnswer: 2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 8*t**2 - 12*t + 1. Let y be v(5). Solve k + y = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 136132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15698.\nAnswer: 2, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33\/(-3))\/22*52\/858?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*g**3 - 25*g**3 + 13*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11162 - 3?\nAnswer: -11165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -403641920 * 4\nAnswer: -1614567680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199757 is divided by 1203.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 12*s + 23. Let a be h(11). Let u(w) = -9*w**2 + 32*w**2 - w**3 - 11*w**2 + 2. What is u(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(102) + sqrt(102) + (-5*-1*sqrt(102) - sqrt(102)) + sqrt(102) + -5*2*sqrt(102) + sqrt(102))\/(sqrt(66)\/(sqrt(11)*3*-4)))**2 + 3.\nAnswer: -29373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = k - 3. Suppose -4*l - 8 = -k. Suppose -2*g = -g. Solve -z - l*z = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2200 a factor of 10063782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14190\/240 + -59)*(-24)\/10.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from txcjjjtxj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -38550 (base 10) to base 7.\nAnswer: -220251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1977 >= -1986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/108 and -35\/64.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -42.1178 + -0.5722. What is n rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 582*y**2 + 32*y + 32. What is the tens digit of x(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110111110010111 - 0?\nAnswer: -10110111110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2909 in -0.5, 0.5, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -116029 + 812503\/7. What is p in -3\/7*p**2 - 7500\/7 + x*p = 0?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00341183 to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4332008 + 186.\nAnswer: -4331822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 825432 in 0.7, -0.5, -2\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3933 and 5411979?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, c: 2, i: 6, p: 1}. Give prob of sequence pt.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*d + 12*d - 188*d**2 + 191*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/3058 and 71\/413664.\nAnswer: 4550304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 107 - 213 + 106 + 254*w as l + u*w and give u.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 35 = 5*d, -z - 4*d = 15 - 2. Suppose z*p = 274 - 58. What is the lowest common multiple of 36 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-35100)*-13*(-5)\/(-2)*(-56)\/35?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 26883631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20965892.\nAnswer: 2, 19, 73, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(1\/2))\/b)**27)**(-3\/2)\/((b**(-2))**43)**(2\/9) assuming b is positive.\nAnswer: b**(-41\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -463420000 rounded to the nearest 1000000?\nAnswer: -463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 33*g**3 + 195 - 199 - 27*g + 26*g + (-5*g**3 + 6*g**3 + g**3)*(3 - 3 + 2) + g**3 - 2*g**3 + 2*g**3 + 5*g**2 - 5*g**2 - 2*g**3 + 0*g**3 - g**3 - g**3.\nAnswer: 34*g**3 - g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = q + 3, 4*i - 2 = -2*q - 4. Suppose 0*v = 3*v, -q*x - 4*v = -3. Let n(a) = 5*a**3 - 2*a**2 + 1. What is the remainder when n(x) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x. Let k(a) = -4*a + 1. Let q(f) = f + 1. Let n(j) = -k(j) + 3*q(j). Let s be -9 - (2 + 15\/(-3)). Determine s*h(u) + n(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 + 4*l + 4. Let q(s) = -2*s**2 + 8*s + 8. Suppose t + 7 - 1 = 0. Let f(g) = t*q(g) + 11*a(g). Let z = 8 + -3. Calculate f(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*o + 566228 = 564986 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -223 by 14142.\nAnswer: -223\/14142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 311779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-70)\/(-20)*(-1*22\/55)\/(5\/(-275))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 106639 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ozo when three letters picked without replacement from ggzzozgozoogzo?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/167182898?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 0 = 1. Let h(u) = -6*u - 1. What are the prime factors of h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -1\/2  (b) 134  (c) -4  (d) 1\/27  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -25, -59, -107, -169, -245?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, 193, 560, 1073?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -735*l*p - 221571*l - 473019034*p wrt l?\nAnswer: -735*p - 221571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, h: 3}. What is prob of sequence hhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 9 + 14. Calculate the remainder when 0 + q + (-28)\/(-7) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6724)\/34440 - 10\/(-7). Which is bigger: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 188 and 643054?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 8, 18, 28, 38, 48?\n\"Answer: 10*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/13, 0, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8727, 8778, 8915, 9180, 9615, 10262, 11163, 12360?\nAnswer: 13895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 - 62. Let w = f + 21. Let l = w - -40. What is the greatest common divisor of 154 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-18)\/(-72)*36.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/3  (b) -4  (c) 0.08  (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -l + 4*b + 5, 5*l + 10 = 2*b. Let o = 4 - l. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 6:32 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 11. What is the nearest to 0.1 in w, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -23  (b) 366  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 90695949 divided by -1591157\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1098, -11, 12 in descending order.\nAnswer: 12, -11, -1098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of 14*w**7\/75 + 119*w**6\/150 - 16*w**5\/15 + 2*w**4\/5 + 36*w**2. Find k such that m(k) = 0.\nAnswer: -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6\/11  (b) 1\/5  (c) -1\/3  (d) -6  (e) -371\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 9:10 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -104*h**2 - 2*h - 8?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 39*m = 37*m - 69064, 4*m = 2*b - 46056. What are the prime factors of b?\nAnswer: 2, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7512516 or -7512513?\nAnswer: -7512513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 3*l - 201 = 2*t, -99 = -2*t - 5*l. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 + -20. Calculate the highest common divisor of t and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = q + a, -q + 6*a - 1 = a. Let y(l) = -l**2 + 12*l - 13. Let n be y(11). Sort 0, n, q.\nAnswer: n, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 97564.36 millilitres?\nAnswer: 97.56436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4899 and 60.\nAnswer: 97980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2355*c**3*n**2 + 2*c**3 - c**2*n**2 - 15*c**2 - 4*c + 2 wrt c?\nAnswer: -14130*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3140 - 2626 + 6439)*(2 - 4 + 4)*(5*f**3 + 0*f**3 - 2*f**3) to the form b + y*f + l*f**2 + i*f**3 and give i.\nAnswer: 4038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -101311?\nAnswer: -101305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1560 - -14160. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 92584629 to the nearest integer?\nAnswer: 9622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*q = 141*q + 384 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**3 + 18640*n**2 - 74745*n - 391860.\nAnswer: 5*(n - 7)*(n + 3)*(n + 3732)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/139 + 284\/417. Which is the biggest value?  (a) 1\/4  (b) y  (c) 1\/3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((0 + 1)*0)\/2. Let k(m) = -m**3 - 9*m**2 - 9*m - 9. Let l be k(-8). Let b be 0\/(2 + p + l). Solve b = 5*j - 4 - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 517*x + 290*x + 319*x + 2.\nAnswer: 1126*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1737456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31381 is divided by 533.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**3 - p**2 - p - 1. What is the smallest common multiple of (4\/(-3))\/((-1430)\/1716) + 974\/10 and o(2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -24*i**3 - 3\/2*i**5 + 21\/2*i**4 + 0*i + 0 + 18*i**2 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*z - 56 = 0. Let s be (225 - -5)*2\/z. Let y = s + 69\/14. What is the common denominator of -1 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(440)\/(-1*1*sqrt(10)))\/(-3*sqrt(2304)).\nAnswer: sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2 and 774.9?\nAnswer: 774.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 162 + 158 = 0. Let c be (m - 2) + (-18)\/(-4). Suppose 0 + 1\/2*h**3 - c*h + 1\/4*h**2 - 1\/4*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*m**4 - 6371*m**3 + 797748*m wrt m?\nAnswer: 84*m**2 - 38226*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 6*a**2. Let p = 46 + -43. Let k(t) = 4*t + 0*t - p*t + 2*t. Determine z(k(n)).\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - n + 9 = v, 0 = 3*v + n - 11. Solve 4*f = v*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 0)*(g + 1 - 1).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -5*g + 3*d, 4 = -d - d - 2*d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.106 - 4.638. Let b = 0.006 - s. Let r = b - 4.750199. Round r to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 7 = 19. Solve -2*q - 6*o + o - c = 0, 9 = 5*q + 3*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 + f + 1. Let x(g) = g**3 - 8*g**2 - 15*g - 10. Let y(j) = -5*w(j) - x(j). Let t be y(5). Solve 5*o - 3*b + 23 = 0, -3*o + 5*o + t*b = -3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3353.\nAnswer: 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 1098\nAnswer: -2\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -58 - -54. Which is the closest to -2\/3?  (a) 0  (b) -1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*f**2*x - f*t**3 + 3*f*x**2 + 12*f - 2634*t**3*x - t**2*x**2 wrt f?\nAnswer: 4*f*x - t**3 + 3*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 50 + -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.0438 times -47.44\nAnswer: -2.077872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fspbnxn. What is prob of picking 1 b and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.08 + -0.08. Let w = 3.2 - o. Round w to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 2*x. Let w be h(-5). Suppose 7 = -c + w. Suppose -139 + 1404 = 23*p. Calculate the remainder when p is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -2. Let z be u\/30 - 6\/(-9). Which is the nearest to z?  (a) 0  (b) -5  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 4 + 16. Suppose -h*j + 2*j = 2*w - 3399995, -w + 1699985 = 3*j. Round w to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 274*c**6 + 136*c**2 wrt c?\nAnswer: 32880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**4\/(k**(2\/3)*k)*(k*k**(-1)*k)**12*k**2*k**(-2)\/k*k*k**(2\/9)\/k**(2\/3) assuming k is positive.\nAnswer: k**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*u + w - 67, -3*w - 84 = -5*u. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3*p = -36. Suppose 4*j + 4 = p. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.8 in 4\/33, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, -2, -4, 10, 6, 5, -1 in descending order.\nAnswer: 10, 6, 5, -1, -2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -95, -105, -121, -137, -147, -145, -125?\n\"Answer: u**3 - 9*u**2 + 10*u - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 70854612 and 5077.\nAnswer: 5077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -62651, -125334, -188063, -250856, -313731, -376706, -439799, -503028?\n\"Answer: -3*s**3 - 5*s**2 - 62647*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + sqrt(95)\/sqrt(5) + 5 + -3)*6.\nAnswer: -30*sqrt(19) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -195 - -235. Let i be 9\/12*-1*a\/(-6). Solve -i*f - 13 - 14 = y, -2*f = -3*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -725, -1421, -2073, -2675, -3221, -3705?\nAnswer: -4121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 493136 and 3326288?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 1 + 11. Suppose 3*j - r - 13 = 0, 0 = j - g*j - 4*r + 50. Calculate the highest common divisor of j and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - 6*g**2 - 4*g + 3. Let q be n(-5). Is (q + -1)*28\/(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -80\/1869 and 25\/294?\nAnswer: 26166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -2351430?\nAnswer: 2351423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/28)\/((-5)\/10)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**3 + 3*t**2 - 3*t - 14. Let f(w) = 3*w**3 + 5*w**2 - 5*w - 28. Let l(i) = 5*d(i) - 3*f(i). Is 14 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/7))**(-2\/77)*(k\/(k**(4\/9)\/k))\/(k**(-1)\/k))\/((((k*k**(-1)\/k)\/k)\/k)\/(k\/(k**2\/k)))**(-25) assuming k is positive.\nAnswer: k**(-346613\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 4, -109*c - 3*f - 9 = -110*c. Factor 27\/2 + 1\/6*o**2 - c*o.\nAnswer: (o - 9)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1.3  (b) -0.3  (c) 1  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -13, 0, -6, 36, -3 in ascending order.\nAnswer: -13, -6, -3, 0, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0)**2*(t**(-2\/7)*t)**(1\/2))\/((t\/(t*t**(-2\/7)))\/t*t*t*t**2*t*t)**(1\/3) assuming t is positive.\nAnswer: t**(-59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 9 = -3*p. Suppose -9*z = -p*z. Let u(b) = b**2 + 157. Is u(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -2873*w**4\/4 - w**3\/6 - 2091*w**2\/2 + 67*w + 87. What is the second derivative of y(x) wrt x?\nAnswer: -17238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5613015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8397a66 + -2?\nAnswer: -8397a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124720.\nAnswer: 2, 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28\/9 - 214\/63. Let m = 3 - 3.4. Let h = 2.2 + -0.2. Which is the closest to -2?  (a) h  (b) d  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 2 w, and 1 e when four letters picked without replacement from {n: 8, e: 4, w: 2, b: 3}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + g - 5. Let c(u) = -u + 8. Let v(a) = -2*a - 5. Let p be v(-11). Let f = p - 9. Let x be c(f). Calculate h(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zeteteqqte. What is prob of sequence ztqq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/10 and 123\/10820.\nAnswer: 10820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 20 = -0*x. What is the smallest common multiple of x and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q + 5*q - q - 4 + 4 + q + (-2*q + 4*q + 0*q)*(-2 + 3 - 3) - 2*q + 2 - 2 - 259*q - 431*q - 278*q - 358*q - 255*q.\nAnswer: -1584*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2402314204 (base 5) to base 4.\nAnswer: 111001112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-8)*-2*24\/30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2 + sqrt(2178) + -4 + sqrt(2178) + (-3 + sqrt(2178) + sqrt(2178))*1 + 0 + -3)**2.\nAnswer: -2640*sqrt(2) + 34948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -21828405.\nAnswer: 2\/21828405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -27 - 8. Let o(p) = -p**3 + 7*p**2 + 9*p + 10. What are the prime factors of o(v)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 11823, 11819, 11815, 11811?\n\"Answer: -4*w + 11827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 + 3545482*b\/7 + 1012996\/7.\nAnswer: -2*(b - 253249)*(7*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 38*h**2 + 22*h - 89. Let v(i) = 127*i**2 + 65*i - 266. Let j(c) = 10*b(c) - 3*v(c). What is j(21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -2  (c) 1\/4  (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/(-14)*48\/(-396)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24 * -42.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 47541027400 rounded to the nearest 1000000?\nAnswer: 47541000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4470914, 4470911, 4470908, 4470905, 4470902, 4470899?\n\"Answer: -3*s + 4470917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 106.74 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -3, 2778, 2, -8, 1, 0 in decreasing order.\nAnswer: 2778, 2, 1, 0, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/3 + 25754281*h**2\/3 + 55273586777960*h + 55273578193200.\nAnswer: (h + 1)*(h + 12877140)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*r - 1293*r + 49140 = 0 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d**2 + 10*d - 20. Let u be s(6). Let a = u - -71. Suppose 6*y = -a*y + 108. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27 - 22. Suppose d + 10 = -0*d + 4*y, -y = -2*d + 8. What is the derivative of -d*u + 2 + h*u - 1 wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -8 + 1 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*z + 318 = 108. Suppose 4*h - 736 = -11*y + 7*y, z = -3*y. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2706441 - -3?\nAnswer: -2706438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -28*(2\/6)\/(12*(-14)\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - -4. Suppose 0*m + 234 = l*m. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14.62 + -0.38. Let u = s + 10. Let f = 3 + -2. Which is the biggest value?  (a) u  (b) -4\/5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 728*r - 884*r - 870*r + 1024*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 2031\/4  (b) 86  (c) 0.5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19805812?\nAnswer: 2, 13, 380881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**(-3\/2)*x*x*(x*x**2\/x)\/x*(x*x**(-2\/23))**(7\/5) assuming x is positive.\nAnswer: x**(869\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*l = g - 220, 2*l = 4*g - 904. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 72956991 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5456 and 487839?\nAnswer: 241968144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 4*l + 16 = c, 0 = 4*c - 3*l - 14. Suppose -2*d + 6 = -c. Solve -1 = -b, 4*z = -b - d*b + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 22*(-610)\/(-10800) + (570\/24)\/(-19)\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-4) - 55\/(-44). Let b = w - -14. Let r(t) = b + 3*t - 14 - 7*t. Give r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61995 is divided by 523?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 3. Let n = 8 - 11. Let x be 1*((-2)\/(-1) - 7). Let q(p) = -p - 1. Let h(w) = w + 4. Let l(d) = h(d) + 2*q(d). Calculate n*z(t) + x*l(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 5041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-100)\/(-30)*(-12)\/(-10). Let t = 9 + 0. Let h(n) = -17*n + g*n + t*n. What is h(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 5*m - 15, m + 2*v - 1 - 2 = 0. Let x = 72 - m. Suppose 3*p - 21 = x. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 362 divide 1040026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19837, -19826, -19807, -19780, -19745, -19702, -19651?\nAnswer: -19592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r**2 + 0*r**2 + 6*r**2)*(6*r - 3*r + 0*r).\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117449 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -796 + 792. Let g = 22 - 22.18. Let a = g - -0.08. Put a, -2, h, 3 in decreasing order.\nAnswer: 3, a, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 243.429529 + -242.926. Let x = 0.39647055 + k. Let i = x - 0.9. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 27*q**4 + 438*q**3 + 2364*q**2 + 4392*q + 864.\nAnswer: 3*(q + 4)*(q + 6)**2*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 7*k - 34. Let f be t(6). Suppose -9*h = -13*h - f. Which is the fourth smallest value?  (a) h  (b) -53  (c) 2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 693 - 535. What is the smallest common multiple of h and 20?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 76 + 19. Let u = a - 81. Let o = u + -13.7. Are 0.3 and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 591 + -577. Suppose 0 = m*f - 6*f - 120. Solve 10 = -j + 5*d, 6*d - f = d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -902626.37?\nAnswer: 2707879.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, c: 2}. Give prob of sequence gggc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 11:40 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -4*c + 1 + 4*c - 3*c. Is 5 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(528)*1 - sqrt(528))*-4 - sqrt(528)) + (sqrt(528) - -2*sqrt(528))*3)\/((sqrt(60)\/(sqrt(4) + sqrt(8)\/sqrt(2)))\/(sqrt(20)\/(sqrt(12)\/sqrt(3)))).\nAnswer: -128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.72174 meters to centimeters.\nAnswer: 172.174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3205166 to the power of 1\/2, to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/82?  (a) -2  (b) -5  (c) 4  (d) 1\/7  (e) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*a + 2. Let c = 0.09 + -0.09. What is the closest to c in 0, a, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25728 by 192.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 3 + -6 + 7 + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 30 - 15 - 80*r**2.\nAnswer: -80*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 100 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 211 = 130. What is the remainder when 79 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (23 - -41 - 43) + -80\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from uujpepeeehspejp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1014103404 + 110?\nAnswer: -1014103254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (496 + 9*m - 320 - 272 + 2*m**2)*(-2 + 2 + 2).\nAnswer: 4*m**2 + 18*m - 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sspppspppp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 19, 19, 9, -17?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 10*v**2 + 14*v - 4. Let y be o(-10). Let l be (5\/(-3))\/(6\/y). Calculate the greatest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - -12333?\nAnswer: 12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 - 11*x + 23. Suppose 71*p = 69*p + 5*v - 13, -p = 2*v - 16. Calculate c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -466*x + 622*x + 636*x + 287*x.\nAnswer: 1079*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i + 4*z + 4, 4*i + 5*z - 2 - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/4800 and 19\/3668800.\nAnswer: 11006400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48) - sqrt(48)*2)*-6 + 3.\nAnswer: 3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssksksss. Give prob of picking 2 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -3*z - z. Let h be (z - -5) + -3*1. Suppose h + 3 = k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1665 (base 16) to base 7.\nAnswer: -22500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*y**2 + 13*y**2 + 10*y**2)*((-y**2 + y**2 + y**2)*(-3 - y + 3) + y**3 - 4*y**3 + 5*y**3).\nAnswer: 32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 186*h**2 - 6*h + 101. Is u(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**2 + 2*f**3 + 7366816*f + 138*f**2 - 7366809*f to the form l*f**2 + d*f + o + q*f**3 and give l.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1026179 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 4*f**2 + 4*f - 3. Let d be u(-5). Let c(r) = d*r + 16*r - 3 - 19*r - 2 + 8. Determine c(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46132 (base 7) to base 5\nAnswer: -333414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.21 + 41377258357.256.\nAnswer: 41377258357.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from zzzzzzzzzzdddzzz.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -7. Suppose -4*y = 2*p - 18, m*y = y - 5*p + 20. Suppose 0 = -a - y*a + 2*a. Solve a = -d + 4 - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 255 and 18?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2503 is divided by 176?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 10 = -2*o - 3*o, 2*o - 3*m = 4. Solve o*l - 4 = 3*l - 3*j, -4*l + 5*j - 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*n = -112*n + 555 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 14, -27, 5, 3, 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nqy when three letters picked without replacement from {n: 2, y: 5, q: 12}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - 2603188262.\nAnswer: -2603188261.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25071450, -50142903, -75214356?\nAnswer: -100285809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -198128, -792488, -1783084, -3169916, -4952984, -7132288, -9707828?\n\"Answer: -198118*x**2 - 6*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2. Suppose -3*o + 2*b + 17 = 0, -4*o - 6*b + 2*b - 4 = 0. Let y(p) be the first derivative of p**o + 6 + 19*p - 19*p. Determine y(f(h)).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(-14))**(-1\/11) assuming x is positive.\nAnswer: x**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - (12 + -2 - 4)) + -14 - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00848588257 to 7 dps.\nAnswer: -0.0084859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 9*o + 48651 = -7*o, -4*n + o = -64868. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1959 less than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 164\/70*(-183 + 176) - -16.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23307 less than -102964.207?\nAnswer: -126271.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -3*x**5\/4 - 234815*x**4\/4 + 1017577*x**3\/4 - 861041*x**2\/4 - 195687*x\/2 + 117414 = 0.\nAnswer: -78276, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/89 and 37\/8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 u when four letters picked without replacement from uwuwugwryvyrvryuyyru.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (540\/(-8))\/(12*-6*(-22)\/(-1056)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 17862*p + 89371. Determine j(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**4\/5 + 119*z**3\/5 - 174*z**2 - 45*z = 0.\nAnswer: -1\/4, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*(-2)\/4 - 3. Let t be 4\/((-2 - h) + 2). Let o be t\/10 + 1\/(-5). Solve o*m = 2*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -91273401 - 2?\nAnswer: -91273403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - -2) + 1 + -1. Suppose n*v + 263 = v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000081936 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*m - 9*m + 15*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 AM and 7:36 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 150867695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7c (base 15) to base 12.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*v = -8*v + 68, -3*i - 3*v = -48. Calculate the remainder when 43 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*c + 3*c - 2*c)*(2*c - 3 + 3) - c**2 - 5*c + 5*c + 4*c**2 + 3*c**2 - 2*c**2 + (-1 + 1 + 2*c)*(1 - 1 - c) in the form o*c + z + i*c**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 4 = -0*o. Let x = 0 + o. Let a(l) be the first derivative of l**3\/3 - 3*l**2 + l + 38. Determine a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -702 (base 9) in base 2?\nAnswer: -1000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 - 25. Let f = -19 + 34. What are the prime factors of -12*(-3 - f\/o)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386636784.\nAnswer: 2, 3, 271, 29723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h - 2. Let b be s(-5). Let o = b - -12. What is the smallest common multiple of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -413*q**2*w**3 - 2*q*w**3 - 7*q*w + 2*w**3 wrt q?\nAnswer: -826*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0907 or 0.2277?\nAnswer: 0.0907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.05 + 4.55. Let w = -4 + j. What is the nearest to 2\/9 in 5, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from susususuuuuusussssus.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 196045 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 1 = -1. Suppose 0 = o*d + 2*k - 5*k - 4, -k + 4 = 2*d. Calculate the remainder when 4 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1350\/378)\/(-25))\/((-2)\/(-7))*34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88016 + 88016 + 245437*n**3.\nAnswer: 245437*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 5 - (16 + -10 + -17 + 0 + 78).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 36*w - 6*w**2 - 2 - 114*w + 38*w + 40*w. Let m(u) = 8*u + 1. What is m(k(q))?\nAnswer: -48*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 4*f + 1398, 2*x + f - 1182 + 250 = 0. Let n = 846 - x. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 204676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55620 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55338203\/102 + 542537. Let k = a - 5\/51. Let o = k - 25\/4. What is the second smallest value in 0, 2\/19, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 + 1425455350385.\nAnswer: 1425455350385.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5*d + 0*d + 173380 = 0, -5*d - 20 = 0. Let b = 7252 + -7249. Suppose h + k = b*h. What is h rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*d - 3)*(25 - 5 + 29)*(d + 3*d - 2*d).\nAnswer: -196*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence beb when three letters picked without replacement from eebbeebbbeebbebb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/35 in 2\/13, 1\/3, -2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.19 + 77.19. Let s = -82 + b. Put -1\/5, 0.2, s in ascending order.\nAnswer: s, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*b + 1189*l + 379 = 1191*l - 235, -b - 22 = -3*l for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 + 21. Let g(w) = 3*w - 2 - w + b*w - 4*w - 4*w**2. Let c(q) = 11*q**2 - 3*q + 5. Give -3*c(n) - 8*g(n).\nAnswer: -n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15385517\/93 - 10*2\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -295 + 255.3. Let d = m - -33.47. What is d rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26835973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 17, 11, -15, -73, -175?\n\"Answer: -2*j**3 + 2*j**2 + 2*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -n**4\/4 + n**3 - 2*n - 1. Suppose 4*i - 2*s + 16 = 0, 0*s + s = 4*i + 12. What is the units digit of h(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66.11*-2.\nAnswer: -132.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/((-84)\/81) - 2\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*w + 48*w + 3*w**2 + 12*w.\nAnswer: 3*w**2 + 86*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -255 + 536. Let p = 471 - s. List the prime factors of p.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -4*n - 7*n + 25. Which is the closest to -2?  (a) 15  (b) 1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, -2721, 0, 0.4, 1?\nAnswer: -2721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((10\/(-25))\/(-1))\/((77\/(-15))\/11)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -146\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1)*g)**(-12)*(g\/(g*g**(3\/7)))\/(g*g\/g**(-2\/7)))**(-2\/7) assuming g is positive.\nAnswer: g**(38\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -491 + v**2 + 9*v**3 + 16*v**3 - 21*v**3 - 160*v - 5611 - 21 wrt v?\nAnswer: 12*v**2 + 2*v - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from zzzyzfzkppzpzzvyff.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*h**2 + 48*h - 46*h - 88*h**2.\nAnswer: -60*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/10*(-2)\/(-15) - 22\/(-110). Suppose 0 = -2*l + 3 + 5. Let x be 2\/5 - 16\/(-10). Solve 4*b - 4*o = 0, l*b + x*o + 6 + n = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3390 = -164*n + 179*n. Let f = 231 - n. Solve 5*m + 0*k = -k - 30, 3*k = -f*m - 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (162\/(-12))\/(3\/(-20)). Suppose 9*a + d = -a. Let t(p) = p - 1. Let h(u) = -u + 2. Let f(j) = -h(j) - 2*t(j). Calculate f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ioos when four letters picked without replacement from xxxosixssxxxosooxo?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25696667 is divided by 2189?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009597 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 0.03, 3, 4.9, -0.1, 11\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uqros. Give prob of picking 1 o and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + -7 - (11 - 46) - (1 + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, k: 2, g: 1, a: 1, c: 2}. Give prob of picking 1 g, 1 k, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 105 + 65. Let s(a) = 5*a + 6 - 2*a**2 + a**2 + a + 2*a. What is the remainder when l is divided by s(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 12) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 34*f - 468. Let s(w) = -9*w**3 - 2*w**2 + w. Let a be s(1). Let q = a - -23. Calculate the remainder when q is divided by u(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 5 = -50. Let k = -6 - l. Suppose -41 = k*d - 155. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-13) + (-82)\/(-26). Solve 0 = i*c - 4*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c4 + 1?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of -i**5\/60 + i**4\/4 + 2*i**3 + 35*i**2. Let j be t(-2). What is the units digit of (-11)\/((-44)\/224)*(-5)\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1967970816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from ppppwppppppw.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 8*s + 25 = -5*y, -5*s + 21 = -3*y. Let b = s - -1. Solve b = -2*n - 2*i, -3*n - 1 = -0*i + 2*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, t: 1, p: 1}. Give prob of picking 1 p, 1 w, and 1 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11559, -11607, -11655, -11703?\nAnswer: -11751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -610, -775, -1050, -1435, -1930, -2535, -3250?\nAnswer: -4075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17989, 5430, 28849, 52268, 75687, 99106?\nAnswer: 122525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 13 - 13 + 2*p. Suppose -1 = -3*k + 4*w, -3*k - 4*w = -k - 14. Let a(d) = -3 + k + 4*d**2. What is y(a(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -4*o - 50. Find the second derivative of 45*r**o + 41*r**4 - 84*r**4 - 45*r**2 + 53*r - 17*r wrt r.\nAnswer: 24*r**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 143.54 - 142.84. Put j, 2, 5, -13\/12 in decreasing order.\nAnswer: 5, 2, j, -13\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -649875?\nAnswer: 649876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 281 - 150 - 4*d**2 - 131. Let h(s) = -106*s. Calculate h(o(l)).\nAnswer: 424*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 40 = 8*i + 4*o, -4*i - 2*o + 40 = 0. Suppose 3*x + 12 = 7*x. Calculate the greatest common divisor of i and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -y - 4*w - 24, w = 4*y - 21. Solve y*n + 2 = -18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1  (b) -5\/4  (c) 3\/4  (d) -0.4  (e) 2\/7  (f) -11205\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28129*g + 60136*g - 23143*g.\nAnswer: 8864*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.7028693 times 0.4\nAnswer: -0.28114772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -477*r**3 - 9*r**2 - 7*r + 3. Let y(a) = -478*a**3 - 6*a**2 - 5*a + 2. Determine -2*w(s) + 3*y(s).\nAnswer: -480*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-177)\/590*(-2 + (-8)\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = 18*w - 87 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*i**3 + 0 - 8\/7*i + 0*i**2.\nAnswer: 2*i*(i - 2)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -93, -65, -37?\n\"Answer: 28*u - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and -6412779.\nAnswer: 64127790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 5*v + 21 = -2*j, 5*j = 2*v. Let d be 2\/((-2)\/j)*4. Let a = d - 5. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2348*o**4 + 1432.\nAnswer: 9392*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + w = 3*w - 19, -3*w = -2*j. Let v(f) be the second derivative of f**2 + 0 - 2*f - 5\/6*f**j. Differentiate v(i) with respect to i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of b**4\/30 + 7*b**3\/5 + 38*b**2\/5 - b - 206. Factor j(p).\nAnswer: 2*(p + 2)*(p + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 15 = w, -3*w - 3*l + 25 = 2*l. Suppose w = -u - 4*u. Solve r + 3*f + 5 = u, 3*r = 2*r + 3*f + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 4*g + 8. Let c be (10\/(-4))\/(g\/8). Put c, 1, -9, -1 in decreasing order.\nAnswer: 1, -1, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -7*a**2. Let k(s) be the first derivative of 277*s**2\/2 - 1664. Determine r(k(n)).\nAnswer: -537103*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5450103 (base 7) in base 10?\nAnswer: -667530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 9342 divide 73941930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-18) - (-2296)\/(-126)) + (-8162)\/(-1113).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1604, 1597, 1586, 1571, 1552, 1529?\n\"Answer: -2*i**2 - i + 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11434550.753 + -11446030. Let m = 11484 + x. Let v = -0.257 - m. Round v to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of -u**3\/3 + 4*u + 6. Let x be b(2). Solve -2*o + 0 - 2 = x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 13869, 13777, 13645, 13473?\n\"Answer: -20*u**2 - 32*u + 13921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -384*m + 17078665 - 43056898 = 55506567. What is m rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*g**2 + 18*g**3 + 17*g**2)*(0 - 3 + 2) - 3*g**2 + 437*g**3 - 874*g**3 - 53*g + 438*g**3.\nAnswer: -17*g**3 - 3*g**2 - 53*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*((2 + sqrt(3))**2 + sqrt(3)) - ((sqrt(297) - sqrt(33))\/sqrt(11))**2) + 4)*2.\nAnswer: 12 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 53431 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.5 - 1.3. Let g = v - -6.8. Sort -14\/9, 1\/4, g in ascending order.\nAnswer: -14\/9, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 1. Let v be s(-2). Suppose -61 = -4*j + j - 4*g, -2*g - 10 = 0. Let u = j + v. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25326, 50655, 75984, 101313?\n\"Answer: 25329*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 225579.9 tonnes in nanograms?\nAnswer: 225579900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 58\/3, 0.2, 14, -2\/9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.06, 1\/446.\nAnswer: -0.2, -0.06, 1\/446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*b**3*m - 3*b**3 + 29*b**2 - 2*b*m wrt b.\nAnswer: -72*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-1 + (4*(1 + sqrt(1216) - sqrt(1216)) + sqrt(1216) - sqrt(1216)) + sqrt(1216))*6 + -5)**2.\nAnswer: 29568*sqrt(19) + 706345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 4 = 6. Suppose 3 = q*b - 7. Suppose -b*v + 0 = -5. What is the remainder when 1 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1308496, -2616991, -3925484, -5233975?\n\"Answer: n**2 - 1308498*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**7*n)**(-1\/32)*n**(2\/23)\/n**(-1\/3) assuming n is positive.\nAnswer: n**(47\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((42 - 23 + 19)*(3 - 3 + 1) - 1 - 1 + 7)*(-1 + 2*i + 1).\nAnswer: 86*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, 0.2, 0.3, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -12*k**2 - k + 24. Let v be (112\/42)\/(6\/(-9)). Let l(p) = -36*p**2 - 3*p + 71. Let u(r) = v*l(r) + 11*z(r). List the prime factors of u(5).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*r**3 - 65*r**2 + 120*r - 45.\nAnswer: 5*(r - 3)**2*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 171, 340, 495, 630, 739, 816, 855?\n\"Answer: -p**3 - p**2 + 179*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -767 (base 12) to base 3\nAnswer: -1111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/1 - (0 + 2)\/2. Solve -6*p - 10 = j*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of -b**7\/735 + 17*b**6\/420 + 2*b**5\/7 - 1039*b**2. Factor f(r).\nAnswer: -2*r**2*(r - 20)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68, 147, 226, 299, 360, 403, 422, 411?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 + 0.4. Let z = m - 0.6. Let y = -43 - -47. Which is the nearest to z?  (a) y  (b) 2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/2  (b) 2  (c) 3  (d) -1\/6200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/313, -0.25, 721.\nAnswer: -0.25, 1\/313, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of 0*n**3 - 1\/900*n**6 + 0*n**5 - 3*n**2 + 0*n**4 - 1\/525*n**7 + 0*n - 1\/1260*n**8 + 0. Solve f(b) = 0 for b.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 15*c - 47. Let n be k(-6). Let m(i) = -4*i**2 + 18*i - 2. Let y be m(n). Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ckckpcwukwd. Give prob of picking 1 p, 1 c, and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8704 at least 8697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 22 = 3*x. Calculate the remainder when 124 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -38, 19, 164, 439, 886?\n\"Answer: 7*q**3 + 2*q**2 + 2*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 12*o**2 + 128. Let h(t) = 17*t**2 + 193. Let k(u) = 5*h(u) - 8*q(u). Let a(p) be the first derivative of k(p). Let c(r) = 6*r. Give a(c(g)).\nAnswer: -132*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -o*q**2 - 2*o + 31224*q**2 + 8562*q wrt q.\nAnswer: -2*o + 62448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 425 and 1190?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1419814659 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2570 - -2573. Let v(j) be the third derivative of 0*j**a + 0*j**4 - 10*j**2 + 3\/70*j**7 + 0 - 1\/84*j**8 + 1\/60*j**5 + 0*j - 1\/20*j**6. Factor v(z).\nAnswer: -z**2*(z - 1)**2*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 5*c - 30, -n + 0*n - 3*c = -4. Suppose 1907*z = 1679*z. Put 7, 5, n, z in decreasing order.\nAnswer: 7, 5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r*r**4\/r)*r*r\/(r*(r\/(r\/((r*r*(r\/(r\/(r*r\/(r\/r**9))))\/r)\/r))*r*r)\/r))\/(r**4)**(4\/7) assuming r is positive.\nAnswer: r**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69379315 is divided by 27908.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -1607*s**2 + 3248*s - 86. Give g(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1650 and 50490?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6962361716 to 5 dps.\nAnswer: 0.69624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -322c0 (base 13) to base 8.\nAnswer: -260713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.944105 nanograms to milligrams.\nAnswer: 0.000000944105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = h - 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -79*y**4\/4 - y**3\/3 - 379*y**2\/2 + 2*y - 620. What is the derivative of q(n) wrt n?\nAnswer: -474*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2484602353 to four decimal places.\nAnswer: -0.2485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 28  (b) 2  (c) -55  (d) -1\/11  (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/14 and 51\/2240.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-3\/4)\/q*q)\/q)\/q*q**(-9)*(q*q**(-6\/11)*q)\/((q\/q**3)\/q) assuming q is positive.\nAnswer: q**(-321\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/84*2073 + 16\/28. Let q = -158 + w. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 54 and 3.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 111721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4578 and 534753.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -172 - -178. Let x(y) be the first derivative of -3\/2*y**4 + 5 + 70\/13*y**5 - 326\/39*y**3 - 49\/39*y**d + 88\/13*y**2 - 24\/13*y. Solve x(o) = 0 for o.\nAnswer: -1, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -22249?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -185*c + 586*c - 199*c - 29 - 189*c. Let b(l) = 7*l - 15. Calculate -6*a(o) + 11*b(o).\nAnswer: -o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -c + 156. Let i = 4 - c. Let a be (-202)\/(-22) - (-4)\/i. What is the greatest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.5509866 to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of -1\/3*u**3 + 1\/12*u**4 - 2*u + 0 + 1\/2*u**2. Let o(c) be the first derivative of j(c). Differentiate o(a) with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -l**2\/4 - 48390*l - 68202071\/4 = 0.\nAnswer: -193207, -353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 144 - 57. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 979181*k**2 - 53488202*k wrt k?\nAnswer: 1958362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 2 - (9 - (5 - 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of l**4\/18 - l**3\/9 - 8*l. Determine r, given that q(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*n**2 + 15*n**2 + 51*n**3 + 7*n - 5*n + 2 - 1 in the form b*n**3 + c*n**2 + a*n + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 141657214 a multiple of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 + 6*o + 2. Let x be h(-6). Suppose -x*w + 40 = -w. Suppose -3*p = p - w. Calculate the smallest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -138 + 140.222. Let j = -0.517 + s. Let d = 0.095 - j. What is d rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -638 by -1.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55628810 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 - 8 = -q. Let m = -40 - q. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -3\/7, -0.09, -0.3, 3 in ascending order.\nAnswer: -3\/7, -0.3, -0.1, -0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 632*-1100.\nAnswer: -695200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 25 - (-2 + 2)\/1. Let n = v - -69. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/(((j**(3\/5)\/j)\/j*j)\/j)*j)\/(j*j*j**(-5)*j*j*j*j))\/(j**(-7\/2)\/j)**(-14\/11))**(1\/9) assuming j is positive.\nAnswer: j**(-61\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(1\/3))**(-31)\/(r*r\/((r*r**(-2\/11))\/r)*r\/((r\/(r*r*r**2))\/r)))**(1\/24))**(-39) assuming r is positive.\nAnswer: r**(3757\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-101 - -2) + 5885 + -5776?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 56, 81, 100, 95, 48?\n\"Answer: -3*j**3 + 15*j**2 + j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 12:20 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-90468)\/(-10770))\/((-3)\/(-45))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 68*u**3 + 950*u**2 - 1238*u - 16950. Calculate h(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -4*u + 5*u + 12, -3*u - 20 = 2*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137 - 137 - 99*w.\nAnswer: -99*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/4)\/p)\/p*p**(-5)*p**41)\/(p**(-2)*p**(-3)\/p)**1 assuming p is positive.\nAnswer: p**(161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = -29*n + 31*n - 66, 0 = y + 4*n + 3 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 6*y**2 + y + 5. Let n be q(6). Let w = n + -6. Solve -5*m = -2*x + w, m + 19 = -x + 5*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24 - 18. Suppose -v - m + c*m = 1, -2*m = 2*v - 10. Let a be (-1)\/v + (-21)\/(-4). Put 4, 1, a in decreasing order.\nAnswer: a, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9888 - -9900. Solve o = -4*r + l, 3*o - 7*o + 10 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1086.008 + -1090. Let f = -0.212 - o. Let a = -0.52 - f. What is a rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 7:10 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.56191 rounded to two dps?\nAnswer: 26.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 1. What is the biggest value in 5\/3, 0.5, v?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 42 - -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -3*k**4 - 36*k**3 + 177*k**2 - 234*k + 96 = 0.\nAnswer: -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29308 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (523*3)\/(32\/((-640)\/(-210))). Put -4, q, 5 in increasing order.\nAnswer: -4, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1157378 - 3*d + 1156552 + 0*d to the form k + i*d and give k.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*v**3 + 37*v**3 - 16*v**3 - 13*v**2 + 31*v**3 + 18*v**3.\nAnswer: 97*v**3 - 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2*-2*sqrt(78))\/sqrt(6) + sqrt(156)\/(sqrt(1200)*2 + sqrt(12)) + 4.\nAnswer: -83*sqrt(13)\/21 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**3 - 2. Let v be z(-2). Suppose s - 4 - v = 0. Suppose s = -0*t + t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 102577000 to the nearest one million.\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44*z**3 + 17*z**3 + 43*z**3)*(-1 - 1 + 4).\nAnswer: 208*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) -1  (b) 1  (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 4*s + 225, 4*g - 5*s + 256 = 35. Let h = g - -223. Suppose -i + h = i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -6. Let o = 4 - r. Suppose -16 = -o*a + a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 225 and 30.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 146567625, 146567630, 146567639, 146567652, 146567669?\nAnswer: 146567690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - u + 5*k = 9, 0 = -5*u + k + 12. Suppose 3*g = u*w + 4*g - 22, 1 = g. Solve -3*y - 10 + w = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = g - 154, 5*i - 58 = -4*g + 108. Suppose 5*j - 26 + 0 = -3*h, 0 = 2*h + j - 22. Calculate the greatest common divisor of h and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 5*u**3 + u**2 - u + 1. Suppose -6*m + 4*m = 3*t - 1, -4*m + 20 = 0. Let b be (1\/(-3))\/(t\/9). Give g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -54 divided by -3951\nAnswer: 6\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 219*u - r = 223*u + 53, 0 = -4*u + 2*r - 50. Which is the closest to 2\/5?  (a) u  (b) -3  (c) 3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6210 and 22572315.\nAnswer: 135433890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 875 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4*o - 5)*(-6*o + 4*o + 7*o) + (3*o + 3*o + o)*(-3 + 3 - 3*o) + (-1 - 1 + 4)*(-2 - 2*o**2 + 2) - o**2 - o**2 + 4*o**2.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10898 is divided by 641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 6576.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2b93 + -ab8?\nAnswer: -3a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 825*q - 56251. What is p(-75)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 5*b - 0*b - 15, -5*b - 20 = 4*c. Let g(o) = -o**3 + 40*o**2 - 81*o + 194. Let y be g(38). Solve b = -5*n + y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(-12)*(0 + 6). Suppose -n*v = -5*v - 2. Let s be -570000 + 0*v\/8. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -181, -308, -435, -562?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87714, 90079, 92444, 94809, 97174?\nAnswer: 99539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3745171?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1952 - 0.1952. Which is the nearest to l?  (a) 4  (b) -8  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31*m*p**4*v + 1092*m*p**3*v - 4*m*p**2*v - 2*m + p**3 + 892255*p**2*v wrt p?\nAnswer: 744*m*p*v + 6552*m*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, j: 12, f: 5, s: 1}. What is prob of sequence sf?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of -1013*d**2\/2 + 472*d - 258. Differentiate g(x) wrt x.\nAnswer: -1013","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 5*i. Let k be n(-5). Suppose 55 = 5*f + p, k*p - 3*p = -4*f + 25. Calculate the least common multiple of f and 6\/(-2)*11\/(-3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37616*1605.7\nAnswer: -60400011.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kuas when four letters picked without replacement from kuauasd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 - 1. Suppose 3 = 4*v - v. Let t(a) be the first derivative of a**4\/4 - a**3\/3 - a - 3. Suppose 2*m - 3 = -5. Give m*t(f) + v*g(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 38 - 41. Let y(c) = -7 + 8*c + 4 + 8. Let l(o) = 4*o + 3. Suppose 85 = -2*h + 95. Calculate h*l(g) + u*y(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(84)\/sqrt(3) - (sqrt(700) - (sqrt(700)*-1 - sqrt(700))))\/(-2*2*sqrt(100)).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-7)\/(-1))\/(-126))\/(16\/(-64))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/4 - h**2 + 7*h\/4 + 5\/2.\nAnswer: -(h - 2)*(h + 1)*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 8 = -2*f. Suppose 0*o - 3*o + f*t - 7 = 0, 3*o + 23 = -2*t. Let x be (-22)\/(-30) + 2\/o. Is x smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 384 - -db8e?\nAnswer: e023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2. Let x(h) = -22*h**2 + h + 1. Let i(v) = -p(v) + x(v). Let q be i(1). Let z = q + 16. Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/2051 - -2331983\/4102. Let o = r + -609. What is the common denominator of (-1)\/(-4) - (-482)\/40 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 23*s**3 - 1450*s**2 + 59*s + 270. Calculate b(63).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -3*j + 90886, 2*j - 12189 - 48411 = -4*z. What are the prime factors of j?\nAnswer: 2, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44405081\/626782 + 1\/48214. Let y = 71 - q. Factor 0*r + y*r**3 + 2\/13*r**2 + 0.\nAnswer: 2*r**2*(r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/2 - (-9)\/2. Suppose 4 + 6 = k*o. What are the prime factors of (-1 - (-13 - o))\/1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/5)\/((-12151)\/(-2095)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 3*d - 3435, 0 = 5*b + 4*d - 0*d + 8576. Let v be 4\/26 - (-1824)\/b. What is the second biggest value in -8, v, -4\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 18*k + 5. Let n(l) = 70 + 40*l - 137 + 76. Let c(a) = -2*n(a) + 5*s(a). Give c(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.2983 + 0.8796. Round u to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/2)*b)**(10\/13)*b**(-3\/4)*b\/(((b**(4\/9)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(557\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-25)*(-5)\/7)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-66)\/77)\/(34584\/2184 + -16)\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.2 + 1.2. Let m = p + 4.908. Let k = m - -0.1. What is k rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -7. Find the common denominator of -25\/8 and ((-1)\/l)\/(32\/588).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -2*g + 14, -4 = g - 0*g + 3*s. Let t be 4 - -2*(-1)\/g. Let j = 57 + -34. Solve -4*a - 5*o + 4*o + 11 = 0, 0 = -2*a + t*o + j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zxxw when four letters picked without replacement from {w: 1, z: 1, x: 3, g: 2, p: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -10*u - 130. What is p(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63914.\nAnswer: 2, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 1202002002?\nAnswer: -1202002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k**5 + 805*k**4 - 2375*k**3 + 775*k**2 + 2380*k - 1580 = 0.\nAnswer: -1, 1, 2, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -2*n - 418, 3*z - 39 - 217 = -4*n. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20b13a (base 15) in base 11?\nAnswer: 973187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-81106)\/28 + (1 + -5 - -6). Let w(k) = -2890*k**2 + k. Let i be w(-1). Let m = i - n. Find the common denominator of m and 65\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -14.4. Let y = 1.4 + g. Let m = 34 - 29. What is the nearest to y in 0.5, 3, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of 3*r**5\/5 + r**4\/2 - r**3 - r**2 - 20. Let u(t) = 0. Calculate t.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 0  (c) -2  (d) 92741  (e) -7\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 1, j: 3, a: 1, g: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -3323 - -5\nAnswer: -3318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -16, -90, -228, -442, -744, -1146, -1660?\n\"Answer: -2*k**3 - 20*k**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2734.827ml to litres.\nAnswer: 2.734827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:43 PM and 12:09 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 19662.242 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 332.33 + -337. Let j = 0.33 - g. What is the second smallest value in j, 3, 2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 16*n - 79. Suppose 47 = 4*i + 27. Let j be p(i). Solve j = o - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20 - (4 + -16)) + -3 + -14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -3*i**3 + 243*i**2 + 33510*i + 33264 = 0.\nAnswer: -72, -1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 484164 and -340?\nAnswer: -164615760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12484 - 6206. What are the prime factors of v?\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 3\/8, -53, 5 in descending order.\nAnswer: 5, 2, 3\/8, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -13, -180, 15 in descending order.\nAnswer: 15, 0.1, -13, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 79 and -224067.\nAnswer: -223988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -3*y**2 - 240*y - 237 = 0.\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 9, i: 2, o: 7, u: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 1256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*g + 21*g + 3020. What is the tens digit of 3\/(12\/8) + g - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -6*q**3 - 11*q. Let u(m) = -4*m**3 - 13*m. Determine -4*k(d) + 3*u(d).\nAnswer: 12*d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 54 = 4*a, -5*a + 3*p = -2*p - 75. Let l(d) = -d**3 + 10*d**2 - 3*d. Let m be l(8). Calculate the greatest common factor of m and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {u: 6, j: 10, v: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -4469*z**2 + 3*z - z + 4468*z**2 in the form u*z + d*z**2 + t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m**3 + 2360*m**2 - 534815*m - 13488350 = 0 for m.\nAnswer: -634, -23, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 569159 - 21628053\/38. Let u = 1 + -2. Is s at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 0, 0.2, 2, -0.09, 5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 13 times -2.7\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kxxxk. Give prob of sequence xx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 317341 and -2.\nAnswer: 317339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*a**3 - 3*a**3 + 28*a**3 - 2*a**3 + a - a + (-2*a + 0 + 0)*(2*a**2 - a + a) + 2*a**2 + 5*a**3 + 0*a**2 + 0*a**3.\nAnswer: 32*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -9, -42, 2, 2\/7, 0.5, 3\/11 in increasing order.\nAnswer: -42, -9, 3\/11, 2\/7, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -18465583*o. Let x(z) = -6*z. Give x(s(t)).\nAnswer: 110793498*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbx when three letters picked without replacement from btbtwxbbtthbb?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/9 + (-14)\/18. Let s = -11.2 + -7.6. Let h = s - -19. Which is the closest to h?  (a) -0.2  (b) 0.4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*q + 13*q + 7*q - 22*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.27 + 0.67. Sort 5, p, -0.1 in increasing order.\nAnswer: -0.1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3514 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of -1\/20*k**5 + 2*k**2 + 0 - k + 1\/4*k**4 + 2\/3*k**3. Let a(z) = -z**3 + 26*z**2 - 2*z + 56. Let v be a(26). What is w(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3716 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-392)\/(-10304) + (-4)\/(-46). Suppose 0*k - 3*k + 4*h - 14 = 0, 0 = -5*h + 10. Let x be 1\/27*(1 - k). Sort -1, x, b in ascending order.\nAnswer: -1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1458784*l**2 - 3624452*l wrt l?\nAnswer: 2917568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 1\/12, -0.14 in descending order.\nAnswer: 3, 1, 1\/12, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 41477311 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 10. Let h = c + 9. Sort -0.5, h, -4 in ascending order.\nAnswer: -4, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9818 divided by 2?\nAnswer: -4909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jhh when three letters picked without replacement from shhhhjlhakhhhhhhhh.\nAnswer: 13\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of o**3*s - 12862*o**2*s**3 + 4*o*s**3 - o*s - 3*s**3 - 34 wrt o?\nAnswer: 6*o*s - 25724*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (12 - 12)\/(-3 + -1 - -2). Suppose 3*u + 7*b - 4*b + 141 = r, -2*b = -2*u - 86. What are the prime factors of (-1 + u)\/(-2)*(-1)\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -3*w - 34. Let q be a(-13). Solve c + 1 = -4*i - 21, -i - 15 = q*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9297182 to the power of 1\/2, to the nearest integer?\nAnswer: 3049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 9) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -10. Let m(x) be the second derivative of -x**3\/6 + 7*x**2\/2 - 244*x. Let s be m(y). Solve -4*g = -5*u, -g - 2*u = -s*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12302131\/56 - -1581890\/7. Let p = 6294 - y. Find the common denominator of p and -95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 9:27 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4653 - -2?\nAnswer: -4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 2406.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -918 + 539. Which is greater: -377 or z?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 225, 276, 325, 372?\n\"Answer: -d**2 + 54*d + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.49 and -7874576.\nAnswer: 3858542.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 + 493*q**2 - 527*q - 16318. Determine o(-494).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12280125617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 687044143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 9:48 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-81 - -137 - 56) + (62 - -1).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 275 and 1733870.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + 34*j**2 + 3*j - 183. Calculate n(34).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*w + 373 + 1248 = 197. Calculate the remainder when 1435 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0.11 = 340621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c - 1. Let q(g) = -6*g**2 + 4*g - 5. Determine -3*d(o) - q(o).\nAnswer: 6*o**2 + 2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 5  (b) -7  (c) 1\/7  (d) -5  (e) -0.33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -19  (b) 0.0598  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 1 = -5*v - 3, 0 = -2*v + 2*g - 4. Put 0, 2, v in increasing order.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -23108?\nAnswer: -2\/5777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 530833?\nAnswer: 530833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2.6  (b) -2  (c) 0.4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, c: 1, z: 10, j: 1}. What is prob of sequence jc?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + l - 1. Let h be m(1). Let b be -8*(h + 0) + -1. Is ((-6)\/b)\/(2\/147) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 23*b - 209. Let k be p(13). Let z = -150 - -230. Calculate the greatest common factor of k and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/17980492 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 40*n - 267. Suppose 8*k - 4*k - 28 = 3*j, -4*k - 2*j + 28 = 0. Let a be u(k). Solve a*d - 8*d + 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39667, -39682, -39729, -39826, -39991, -40242, -40597?\nAnswer: -41074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2343 and 294579.\nAnswer: 3240369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of -3\/16*p**4 + 15\/8*p**2 - 9\/2*p + 1\/2*p**3 + 11. Factor c(m).\nAnswer: -3*(m - 3)*(m - 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 5500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(2 + (-4 - 8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 0, -0.2, -170.\nAnswer: -170, -0.2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -2*a + 11. Calculate the lowest common multiple of a and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10)\/((-4)\/(-2)*-1). Suppose -z*l = -5*c - 80, 3*c + 12 = -0*c. Solve 3*r = -9, -r - l = 4*y + 3*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*n - 14712 = -63*n. What are the prime factors of n?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9332 is divided by 112?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 - 14*x - 15. Let s(a) = a**3 + 5*a**2 - 3*a + 5. Let c be s(-6). Let q be m(c). What is the closest to -3 in -1\/6, -2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -382*y**3 - 3*y**2 - 14*y + 15. Calculate o(1).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 104.3 - 103.2998. Let u = -1 + v. What is u rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2196.54 + 2196.631943. Round d to 3 dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 2) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of 0*x + 0 - 1\/6*x**4 + 0*x**3 + 4*x**2. Let v(c) = -2*c. What is s(v(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 10\/7  (b) 3\/5  (c) -5  (d) 2\/5  (e) -0.4  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 9*m**2 + 13*m. Let p be c(-7). Solve -1 = 2*b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 11*j - 8. Let c be x(4). Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*b**2 + 13*b**2 + b**2)*((0 + 0 + 1)*(-6*b + b + 4*b) + 4*b - 2*b - 6*b) as r*b**3 + h + x*b**2 + p*b and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 186001*d**2 + 96*d + 279. Let c be b(-3). Round c to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10867379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38 + 2 - (0 + -1 - -8 - (134 + -122))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 284.3609 micrometers?\nAnswer: 0.02843609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 PM and 5:07 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 41613 and 975?\nAnswer: 1040325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -26, -0.1, 1\/2, 5 in decreasing order.\nAnswer: 5, 1\/2, 0.2, -0.1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-526)\/(-360)*3 - 4. Let r = y - -1\/60. Let o = -4.87 + -0.13. Put r, o, -1 in descending order.\nAnswer: r, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*j - 56710 = 0, k - 123*j - 14176 = -121*j. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*f**2 + 1706 - 197247*f + 197247*f + 57*f**3 wrt f?\nAnswer: 171*f**2 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - ((-36)\/(-3))\/((-2)\/411) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*h = 59*h + 812. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 592622 and 677794?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2355906 (base 12) to base 6\nAnswer: 402234010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.04?  (a) -25  (b) 24  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8.9 + 9. What is the second smallest value in 0.4, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 8*t + 55 = 0. Suppose 0 = -t*j + 2*g - 3 - 13, -5*j - 7 = g. Let r(i) = 5*i + 3. Give r(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1260)\/1386 + (-1896)\/(-66) + 2 + (-40)\/22\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: bd7770 (base 14) to base 6\nAnswer: 345540554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {w: 13, j: 2, z: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1220 (base 3) in base 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.004 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -10*c - 4. Suppose -2*p = 3*i + 4 + 15, -5*i - 20 = p. Let y be -1 + ((-36)\/(-2))\/i. Let o be n(y). Calculate the highest common divisor of o and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2941409 = 59*b - 208*b. List the prime factors of b.\nAnswer: 19, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15293235?\nAnswer: 3, 5, 1019549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 211, 434, 655, 874, 1091, 1306, 1519?\n\"Answer: -k**2 + 226*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -41746?\nAnswer: -1\/20873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -78\/23  (b) 0.3  (c) -2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 40019305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -378*n**5 + 13*n**2 - 1230*n - 4*n**2 + 5*n**4 - 9*n**2 + 90*n**5 wrt n?\nAnswer: -5760*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g - 1. Let u be r(-5). Suppose -u*x = -20, 2*x - 18 = -0*y - 4*y. Suppose 8 = y*h - 12. Solve h = 5*t + 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3660667*a**2 - 132*a - 6289 wrt a?\nAnswer: -7321334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/(-36) + 2\/(-4). Let o = 0.0073 - -1.9927. Which is the closest to s?  (a) -3  (b) 0.3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + 12. Let x = 0 + j. Suppose u + x*u = 64. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -17 + 1, 4*k = -2*q - 4. Let j = 1561 + -1563. Put -7, j, 0, k in decreasing order.\nAnswer: k, 0, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3118 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -472 - -895. Let z = 892 - m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 83172*i + 60 = -82996*i, 45 = 3*d - i for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 689 divide 740067031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n - 4*n + 15 - 10. Give y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 15.08422 days?\nAnswer: 1303276608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l*l**8)*l)\/l**(-3)*(l**(-1))**(13\/5) assuming l is positive.\nAnswer: l**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232 + 225 = q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -7*m**3 + 9*m**2 + 58*m - 407. Let u(i) = 2*i**3 - 2*i**2 - 13*i + 102. Calculate 2*a(w) + 9*u(w).\nAnswer: 4*w**3 - w + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g + 2*g + 2*g + (4 + 0 - 2)*(-2*g - g + 2*g) + 0 - 2*g + 0 - 1 + 5*g - 2*g + 2*g.\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 3, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5110767 to the power of 1\/2, to the nearest integer?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (0 - -7) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 + 3*s - 3. Let v be z(2). Let f(q) = -3*q - 1. Let u be f(2). Let t = u + v. Solve 12 = -t*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxvxog. What is prob of sequence ov?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - (512\/(-24) - -9))*(-3)\/(-44)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - (-6 + 4))\/(-2). Is -2\/2467 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 8:49 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -14  (b) -38\/3  (c) -0.2  (d) 2\/7  (e) 1\/6  (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 18*t = 0. Let k(g) be the third derivative of -4*g**2 + 1\/20*g**5 + 0*g**3 + t*g**4 + 0 + 0*g. Let i(a) = a**2. What is k(i(m))?\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -510*q**2*t**3 + 1099*q**2*t**2 + 242*q*t + 34*t**3 - 27*t wrt q.\nAnswer: -1020*t**3 + 2198*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 247 + -223. What is the smallest common multiple of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 21139*n + 84. Is b(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*v + 15. Suppose -m - 5*x = -93, -m = -v*m + x + 413. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 238*w + 140 = 245*w. Let m = -29 - -29. Solve m = 3*r + r + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 79025 and 149.\nAnswer: 11774725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2060557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 7*o**2 - 5*o - 8. Let i be n(-7). Suppose i = -4*b + 5*m, -m = -3*b - b - 15. What is the units digit of 8 + -1 + (-1 - b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 369059 is divided by 2247.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 25374 (base 8) to base 3\nAnswer: 120002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7596 and 1395976.\nAnswer: 12563784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 6 = -7*x - 26 - 10 - 16, -2*x + 94 = 3*v for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4229, -8500, -12771, -17042, -21313, -25584?\nAnswer: -29855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 593 + 577. Let w = -15583\/1218 - -386\/87. Find the common denominator of (-510)\/(-8)*(-12)\/y and w.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ekkonkoono. Give prob of sequence eko.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.536 + -0.264. Let m = -5.7 - w. What is the closest to m in -3, 0.3, 0.63?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 56268194, 56268186, 56268178, 56268170, 56268162?\n\"Answer: -8*w + 56268202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) -2  (b) 3\/17  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -10641131 (base 8) to base 13\nAnswer: -62ba08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that q**5\/7 - 68*q**4\/7 + 769*q**3\/7 + 13050*q**2\/7 + 40716*q\/7 + 36504\/7 = 0.\nAnswer: -6, -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5*x + 248214 = 0, -z + 2*x + 20742 = -61995. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + b - 1. Suppose 0*t + 2*t = 50. Suppose 4*s + n - 26 = 0, -3*n = 2*s + 7 - t. Let i(p) = 7*p - 7 - s + 9 - 4*p**3. Give -6*f(l) + i(l).\nAnswer: 2*l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.0189 + -2.01. What is f rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**4 - 102*f**3 + 1379*f**2 + 15672*f + 34352.\nAnswer: -(f - 19)*(f + 4)**2*(f + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1429 divided by 18.\nAnswer: -1429\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 178185042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, 137, 26 in increasing order.\nAnswer: -4, 5, 26, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -219*i**4 + 118*i**6 - 3*i + 4*i - 78*i**2 + 219*i**4 - 3*i wrt i?\nAnswer: 14160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 divided by -65?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6490, -6489, -6488, -6487?\nAnswer: -6486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 2.5. Let k = 1.97 - -0.03. Let h = k + -2.3. Which is the closest to -3?  (a) h  (b) v  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k**3 + 265*k**2 + 2795*k + 2535 = 0.\nAnswer: -39, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d*d*((d**(-2)*d)\/d)\/d*d)\/d)**(44\/5)\/(((d**(-2\/7)\/d)\/d)\/d)**(-31\/2) assuming d is positive.\nAnswer: d**(-713\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 3322?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 156633408?\nAnswer: 62653363.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 77.3 and -2.3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 942 (base 16) to base 5.\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + r**2 + 1)*(-3 + 3 - 2*r)*(4*r - 2*r - 4*r).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + 4*l**2 + 4*l - 1. Let n be 1\/(0 + 3\/(-6)). Let b = -5 - n. What is a(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -14 - 1 - 3*d**2 + 4*d**2 + 0 - 3*d. What is the remainder when w(10) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 707*l**2 - 115062*l - 61. Determine d(254).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 0*b - 20. Suppose w + 4 = b*o - 13, -12 = -2*o + 4*w. Suppose -142 + 132 = -5*f. Solve 0*s + f*i = -4*s + 8, i + 14 = o*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 1407*a**2 + 12*a - 1. Determine t(1).\nAnswer: 1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 793 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3458*k + 58778. Determine g(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -4*h + 8. Let f be (4\/(-3))\/((-84)\/189). Let l(u) = 7*u - 16. Let g(c) = f*l(c) + 5*q(c). Let s = 163 - 153. Determine g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 380.821 to 0 decimal places.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8891517.\nAnswer: 3, 239, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1678321 >= 1678321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d - 1. Let w(z) = -13*z + 4. Let q(i) = 6*j(i) + w(i). Suppose -10 - 324 = -23*s - 127. Calculate the least common multiple of s and q(-5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 greater than 44\/154365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*i - 1782 - 846. What is the remainder when i is divided by 86?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 2:12 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - 737455075753\nAnswer: -737455075752.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -v - 19, -5*v + 5 = -2*x - 3*x. Suppose -v = 3*g, 20 = 2*c - 2*g - 3*g. Suppose c*n - 101 = -z, n = 5*z - 3*n - 418. Does 43 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -q**7\/14 - 41*q**6\/10 - 717*q**5\/10 - 599*q**4\/2 - 1121*q**3\/2 - 1083*q**2\/2 - 25*q - 2. Find n such that g(n) = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 24690, 197357, 665960, 1578465, 3082838?\n\"Answer: 24661*c**3 + 2*c**2 + 34*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - 10*w**2 - 15*w + 26. Calculate x(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*n - 131*n - 925 + 922.\nAnswer: -140*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -85203\/5 + 16956. Let k = -84 - a. What is the smallest value in 1\/6, k, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 - 3\/(-6)*-7130. Round i to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 640717 and 74889.\nAnswer: 5766453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19*x**3 - 21 + 21 - 4*x**3 + 0*x**3 + 6*x**3 + (-x + 2 - 2)*(58*x - 58*x + 3*x**2 + 4).\nAnswer: -20*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j. Let w be q(-5). Differentiate w*a + 4*a**2 - 5*a + 5 - 2 wrt a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21856 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3257.49 and 121?\nAnswer: 3136.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + q + 239, 5*f + 219 + 180 = -q. Which is smaller: f or -79?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 119 - 58 - 55 - 5779*z**4 + 1279*z**2 - 6 wrt z.\nAnswer: -138696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of 4*g**5\/5 + g**4 - 4*g**3 - 10*g**2 - 8*g + 25. Factor z(r).\nAnswer: 4*(r - 2)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/7)*v*((v*(v**(4\/3)*v)\/v*v)\/v)\/v)\/(v**(2\/7)\/v)**(-1\/2) assuming v is positive.\nAnswer: v**(71\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*f = 33*f + 42. Let a(p) = -3*p + f*p**2 + 9 + p**3 - 1 + 24*p. Is 22 a factor of a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**13\/h**2*(h\/(h**(-5\/6)\/h))\/(h*h\/(h**(-4)*h)) assuming h is positive.\nAnswer: h**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -62*f**2 + 2*f. Let s(i) = 19*i + 1. Calculate s(g(t)).\nAnswer: -1178*t**2 + 38*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-370)\/(-20)*(-2 - -4). Let i = m + -33. Suppose o = -i*j + 3*j - 1, 5*j - 4*o = 4. Solve j*l + 2*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ac468 (base 13) to base 11\nAnswer: 1a3a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1162 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -487833746.4 to the nearest ten thousand.\nAnswer: -487830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -248.8 - -12.8. Let k = d - -239. Which is the third biggest value?  (a) -1  (b) k  (c) 7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6113602 + 2?\nAnswer: 6113604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 31. Let u(r) = r**3 - 5*r**2 + 6*r - 3. Let l be u(3). Let s = -116 + 103. What is the third biggest value in l, i, 5, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7616 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 129 - 129. Suppose 10*v + n = 40. Solve 0 = h - 5*p - 29, 6*h - 3*h + 8 = -v*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -2  (c) -4541822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*h - 2*t, -5*t = 5*h - 10*h + 10. Let w = 5 - h. Suppose 0 = 2*x - w*d - 27, -x - 2 = -4*d - 3. Calculate the remainder when x is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 60 = -20*n. Let b(m) be the second derivative of -m**6\/240 + m**5\/120 + 7*m**4\/2 - 27*m. Let k(x) be the third derivative of b(x). Give k(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 9*b**2 - 2*b - 2. Let d be m(2). What is the tens digit of (d*1)\/((-4)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -284*h + 1613. Calculate t(17).\nAnswer: -3215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/10 and 107\/410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 385789 by 96.\nAnswer: 385789\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(152)\/(sqrt(64)\/sqrt(32)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -5*a + 11. Let t(i) = -i + 2. Let s(x) = -6*k(x) + 33*t(x). Let w(v) = 23499*v**2 + 2*v - 11755*v**2 - 11750*v**2 - 4*v + 2*v. Determine s(w(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*f**2 + 9*f**2 - 2*f**3 + 5 + (-2*f**2 + f - f)*(2*f + 4*f + 0*f).\nAnswer: -14*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w - 1. Let f = -22 - -24. Let q(u) = -7*u + u**2 + 6*u + f + 2 + 0*u**2. What is 2*h(g) + q(g)?\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4180 and 38684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0038125935 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -1. Suppose y + 2*k + 2 + 5 = 0, -j*k - 18 = -y. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 28*r. Let w(d) = -d**2 - 206*d - 90. Give w(k(g)).\nAnswer: -784*g**2 - 5768*g - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 7\/2, 8, 4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.090134 and -0.3.\nAnswer: -0.0270402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 0*c**2 + 93*c**4 - 1275 + 0*c**2 - 1455 + 2282 wrt c.\nAnswer: 372*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9275 - 9274.99977441. What is u rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 9:54 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 1. Let q be -1 + (7 - 2) + 1. Let j = 43 + -43. Which is the smallest value?  (a) g  (b) q  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 126 + -123. Let t be (-3)\/(-6) + 4*1. What is y in 1\/2*y**2 + t + w*y = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 9*m - 38. Calculate p(-10).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -2*v + 17 + 93, 0 = -4*g - v - 195. Let u = g + 87. Let a = u + -23. Calculate the greatest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -256940*r - 479435?\nAnswer: -256940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 7. Suppose 0 = j - 4*q - 8, a*q + 25 = 2*j - 0*j. What is the highest common factor of 160 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1266*d - 1268*d = -7*c - c - 48, -4*c - 56 = -9*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4*(20\/(-48) - 2\/6). Suppose 5*z + 33 = -2*f + b*f, -f + 2*z = -36. Calculate the highest common factor of f and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - l - l = -46, 5*h - 4*l = 151. What is the remainder when 107 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 1273*c - 341158. What is t(268)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100409, -100422, -100443, -100472, -100509, -100554?\nAnswer: -100607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 131907889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = i + 13 + 2, 5*c + 25 = 3*i. Suppose 3*w + 0 - 9 = i. Suppose w*d = 7*d - 1440. What is d rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002236 to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/7?  (a) 2  (b) -0.8  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.2 - -0.2. Let o = -3 - -3.02. Let w = 3.98 + o. Put b, w, -4 in ascending order.\nAnswer: -4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 + 3*o - 4. Let w be t(-3). Let j(v) = 3*v - 29. Let d be j(11). Solve 2*k + 29 = w*s - 2, d*k = 4*s - 32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 3.9, -2, 2\/15, -6 in increasing order.\nAnswer: -6, -2, -3\/5, 2\/15, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.61467 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y - 10. Let t = 17 + -8. What is the units digit of j(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4\/5*w**4 - 1\/5*w**5 + 16\/5*w + 0*w**3 + 16\/5*w**2 + 0 = 0 for w.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2097*j**3*u - 71*j**2*t**2*u + 554111*j*t**2*u + j*t**2 + 2*t**2 + 3*u wrt j.\nAnswer: 12582*j*u - 142*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 2*j - 5*j. Let s be 2\/12 + (-85)\/j. Solve 2*h + s = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 2*h)*(2*h**2 + 4*h**2 + h**2) + h**3 + 0*h + 0*h + 4 + h**3 - 4 to the form r*h**2 + b*h**3 + l + i*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12 + (-384)\/(-8) - 15. Solve -20*s + f = -11*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - -38f?\nAnswer: 38f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11212010212 - 1121112?\nAnswer: -11220202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**2 - 6996*r + 34 + 13997*r - 7001*r.\nAnswer: r**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1103 + -10?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 5*d**2 - 7*d + 1. Let g be 4 + (-5)\/(-15)*-3. Let x be g\/(-4) - (-2)\/(24\/9). Suppose x*i = 6*i - 36. What is n(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/84 and -67\/4884.\nAnswer: 34188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2576267905?\nAnswer: 5, 2393, 215317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2))**(-47)\/(g**1)**(-1\/19) assuming g is positive.\nAnswer: g**(1787\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2092198379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 - -37. Suppose 3*i - 4*b = w, 1 = 3*i + b + 4. Does -1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - c + 5. Let t be j(-3). Let q(a) = -274*a**3 - a**2 + 1. Let p be q(t). Let n = 485 - p. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 40495 and 41098 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/7  (b) -3  (c) -0.3  (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 7 = 1, 4*q + 4 = -4*r. Let l(m) = -6*m**2 + 28*m**2 - 10*m**q - 10*m**2. Let y(t) = -12*t - 32*t - 21*t. Determine y(l(c)).\nAnswer: -130*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.21977429 to two decimal places.\nAnswer: -9.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 86 - 2. Calculate the highest common divisor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -315*q**2 + 3*q + 172. Let c(n) = -622*n**2 + 5*n + 345. Let t(a) = 3*c(a) - 5*s(a). Differentiate t(x) with respect to x.\nAnswer: -582*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1894 by -2.\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*h**4 - 790*h**3 + 9723*h**2 wrt h.\nAnswer: -240*h - 4740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -310 - -95. Let o be (1 + -3)\/(2\/l). Suppose -7*x + o = 54. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-42)\/(-9) - (3 + 35\/(-15)). Suppose 2*h = -2*q + q + 274, -3*h + y*q + 411 = 0. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.1, -1\/2, 0.089 in increasing order.\nAnswer: -1\/2, 0.089, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvvvvgvvvgvgggvv. What is prob of picking 2 g and 1 v?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.2 - -3.1. Let f = 0.2 + 0.8. Which is the closest to f?  (a) r  (b) 2\/5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5271?\nAnswer: 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16.6 - 14.6. Which is the second biggest value?  (a) i  (b) -17  (c) -1  (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(34)\/sqrt(2) + sqrt(17))**2 + (-2*sqrt(136))\/sqrt(8).\nAnswer: -2*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 384 + 198 = -7*l + 3*v, -2*l = -6*l - 10*v + 13*v - 330 for l.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34 - -35. Let v(o) = 2*o - 26 - 3 + j. Let p be v(17). Which is smaller: 11\/2 or p?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-184)\/(-32) + -6)\/((-5)\/17050)*2. What is the highest common factor of z and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 5*z**3 - z**2 - 2*z - 1. Let r be i(-1). Suppose -j - 11 + 19 = 2*l, -4*j = 2*l - 20. What is the closest to 7 in l, r, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/2))**(6\/13)*(p**(-2\/55))**27 assuming p is positive.\nAnswer: p**(-867\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 - 17*w + 16. Let d be p(12). Let n = d + 85. Suppose -45*z = -15*z - 4830. What is the remainder when z is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3555839*g**3 - 3555839*g**3 + 1198*g**4)*(1 + 3 - 6) to j*g**4 + b + w*g + l*g**3 + u*g**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6084 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4837053 - 182?\nAnswer: -4837245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 15\/841, 2\/3, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3312563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -3 - -2) + -1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 382 + -382.001437. What is b rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmf when three letters picked without replacement from {f: 2, v: 1, l: 1, m: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 2 = -2*k + 7, 2*k + 2*w = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s, -7*j + 4*j - 2*s = -222. What is the remainder when j is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*n + 9*n - 2*n**4 + 1 + 5 - 9*n**3 - 12*n to the form r*n**2 + h*n + f*n**3 + y + q*n**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - r)*(1 - r**2 - 1) - 586*r**3 + 279*r**3 + 2 + 302*r**3 + 8*r**2.\nAnswer: -4*r**3 + 8*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 24*n**2 - n - 3. Let x be 3 + 44\/3 - (-4)\/(-6). Suppose 3*z = -3*g - 15, 0 = -g - 0*g - 5*z - x. Is a(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -9 - (24\/56 + (-12560)\/(-1890))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 + 5*m**2 + 6*m. Let k be c(6). Let v be (k + 363\/12)*4. What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/294127 - 25001053\/37942383. Let d = s - 1\/129. Let v = -8.03 - -8. What is the closest to v in 4\/3, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14838433 divided by -3\nAnswer: 14838433\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*sqrt(55))\/((sqrt(11) - (sqrt(11) - sqrt(22)\/sqrt(2)))*-6).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**4 - h**2. Let s(g) = 13*g**4 - 10*g**2. Let u be (1 - (3 - 3))\/(-1). Let m(q) = u*s(q) + 4*k(q). What is the third derivative of m(x) wrt x?\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 574377343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23257\/219268 + -62\/1337. Let u = 4\/41 - i. What is the nearest to 0 in -2, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 5, 0.03, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, i: 2, p: 7}. Give prob of sequence pirp.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 24 = 5*g - 8*g, -12 = -302*u + 311*u - 48 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 13  (b) -338  (c) -1.25  (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-40)\/(-30)*6\/4. What are the prime factors of (-294)\/(-63)*45\/n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15434, 29644, 43912, 58268, 72742?\nAnswer: 87364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7593082095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 AM and 8:39 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/5  (b) 4  (c) 305\/21  (d) -13  (e) 3\/2  (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 2, 3, 4 in decreasing order.\nAnswer: 4, 3, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-4) - (-5)\/10 - -4. Suppose -f*k - 2*o + o = -3264, -2*o + 8 = 0. List the prime factors of k.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 34*l**2 + 143*l - 79. Determine x(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26572 and 12556.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 - 8*h**2 - 10*h - 15. What is v(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c + 35 = 57. Solve u + 2 - 3 = -l, -c = 2*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 527 + -455. What is the smallest common multiple of l and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/8  (b) 0.884  (c) 1  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -6*u - 3. Let p = -16 + 28. Let i be p\/(-8)*12\/9. Give r(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*s - 3*s - s)*(-1 + 1 - s) - s**2 - 3*s**2 + 5*s**2)*(-182*s**3 - 279*s**3 - 230*s**3).\nAnswer: -2073*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 90 + 6483?\nAnswer: 6543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 3298 = -2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 - 1103*s + 1104.\nAnswer: -(s - 1)*(s + 1104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16 - 248*k**4 - 15 - 96*k + 124*k wrt k.\nAnswer: -2976*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1019 + 1020. Is -1\/350 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 63 - 195?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 186 + -132. Calculate the common denominator of -31\/18 and 1 - (-3)\/(m\/55).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -9 + 4 - -1 - -8. Differentiate -9 - 91 - 256*n**2 + 258*n**2 - 100*n**g wrt n.\nAnswer: -400*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49 - (-21 + 50 + -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h + 2*h**3 + 3*h - 2*h - 7*h + 10*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 128302 + -128302.217396. Round h to 3 dps.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, q: 3}. What is prob of picking 2 q and 2 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, j: 2, e: 2}. Give prob of sequence jnj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -167*n = n - 315 + 4011 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/292944 and 63\/781184.\nAnswer: 2343552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91.88 - -96.88. Sort s, -8\/3, 0.05, -7, -1\/5 in decreasing order.\nAnswer: s, 0.05, -1\/5, -8\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/15 - (-172)\/10. Let x(y) = y - 12. Let i be x(l). Sort 3, i, 0 in decreasing order.\nAnswer: i, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 301760 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*i**2*q**3 + 10*i**2*q**2 + i**2 - i*q**4 + i*q - 74*q**4 - q wrt q?\nAnswer: -168*i**2 - 24*i*q - 1776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 195  (b) 51  (c) 3  (d) 0.1  (e) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 224178341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 254 - 2284\/9. Sort -11, -4, t, 0.2 in descending order.\nAnswer: t, 0.2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -361*i - 447 - 387 = -83*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 5*m - r - 21, 5*m - 25 = 5*r. Let j be (-4)\/6 - 40\/m. What are the prime factors of 82\/7 + (-4)\/j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -215, -213, -211, -209?\n\"Answer: 2*s - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 174172084 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z - 198 + 540 = 0. Calculate the remainder when z is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 + 7*i + 2. Let y be n(7). Which is the nearest to y?  (a) -4\/5  (b) 5  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of 5*q**6\/6 + 27*q**5\/5 + 25*q**4\/2 + 12*q**3 + 4*q**2 - 53. Determine h so that l(h) = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10365415 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(0*s**2 + s**2 + 0*s**2) + 97*s + 12 - 97*s + 2*s**2.\nAnswer: 4*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9.3 + 8.3. Put 2, -5\/2, j in descending order.\nAnswer: 2, j, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + 7)*-2*2\/(-4). Put v, 0, 3 in decreasing order.\nAnswer: v, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mvtm when four letters picked without replacement from {v: 5, m: 9, t: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 11110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2456 times 3.0317?\nAnswer: -0.74458552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13022, -13020, -13016, -13010, -13002?\nAnswer: -12992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55620194 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 651*h**3 + 49*h**2 + 49*h - 49. Let w(q) = 65*q**3 + 5*q**2 + 5*q - 5. What is -5*v(r) + 49*w(r)?\nAnswer: -70*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9601\/7 - 1367. What is the common denominator of t and (-2*(-1)\/9)\/(24\/2682)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 701333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from {p: 1, z: 1, y: 2, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -437213, 0.5, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 966974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-17)\/(-5)*60\/36. Let c = w - 113\/21. Factor 0*q + 4\/7*q**2 + 0 + c*q**3.\nAnswer: 2*q**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 4*c + 16, 0 = -0*c - 5*c + 4*g + 25. Let u = -1 + c. Is 65 + -2*(u - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4.4  (b) -3\/7  (c) 1  (d) 15\/4  (e) -45\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -820 = -3*d - 838 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of a**4\/10 - 4*a**2\/5 - 11. Factor m(d).\nAnswer: 2*d*(d - 2)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -657875*b + 22. Let a be c(-14). Let x = a + -202524327\/22. Let o = x + -4620. What is the common denominator of o and -39\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-372)\/48 + 2 + 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 - a3?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 6*g**2 + 8*g + 1. Give j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -9*b + 70. Let d(s) = 9*s - 57. Let v(g) = 6*d(g) + 5*n(g). Suppose 6*r - 5*r + 3 = 0. Let a(u) = -3*u - 3. What is r*v(y) - 8*a(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 191 divided by 5\nAnswer: 191\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 75815565 + 1219\nAnswer: 75816784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 2*v - 4 = 0, s - 2*v - 3 = -1. Suppose 822 = 2*i - 0*l + 2*l, s*i - 3*l - 802 = 0. List the prime factors of i.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23022 (base 6) to base 9.\nAnswer: 4415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 22 = 7. Let v(n) = 2*n**2 + 2*n**2 + j + 7*n - 3*n - n**3. Suppose x + 6 = 8, f = 4*x - 3. Give v(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-68734160)\/407)\/(1\/125). Round x to the nearest one hundred thousand.\nAnswer: -21100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15262 + 243*w**3 + 15262)*(37*w - 36*w + 1 + 0) to m*w**2 + i + f*w**3 + r*w + c*w**4 and give f.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 704917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -33*a. Suppose 4*r - 10 = 2*k - 0, -4*r = 4*k + 8. Give v(r).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00152463822 rounded to 5 decimal places?\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -15, -29, -39, -39, -23, 15?\n\"Answer: u**3 - 4*u**2 - 9*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y - 6. Let h(u) = -u + 2. Let b(w) = -3*h(w) - k(w). Let n(a) = 2*a. Give n(b(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*a + 92 = -107*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1340874.\nAnswer: 2, 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 4\/299?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1439 + -909. Suppose -5*z = -2*v + 244 - 9, -4*v = 2*z - l. Suppose -2*f - 30 + v = 0. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**3 - 14*y**2 + 18*y + 16. Let r be z(-14). Suppose -3*t = 8*t - r. List the prime factors of t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 10) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 3279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*b + 0*b + 2880 = 4*b. Calculate the remainder when b is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 31\/2 of a millennium?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of j**3\/3 + 3*j**2\/2 - 9*j + 1. Is 17 a factor of l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53550408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.214 * 3.66\nAnswer: 0.78324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2064813 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(156)*1 - sqrt(156))\/(sqrt(132)\/(sqrt(11)*-1)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7639 + 7648. Solve 18 + z = -9*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182945 = -89*d - 183568 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 + 52*u - 168. Let t be k(3). Let x(r) = r**2 + 24*r + 40. Determine x(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*p**2 + 5599 - p**3 - 5591 + 2*p + p**4 + 2*p = 0. What is p?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-6\/13))**50\/((a*a\/(a\/(a\/(a\/(a**24*a)))))\/(a\/a**(-1\/15))) assuming a is positive.\nAnswer: a**(-9362\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**12\/b)**(8\/7)\/(b*b**(39\/4)*b\/(b\/(((b\/b**(3\/11))\/b)\/b)*b)))**(-37) assuming b is positive.\nAnswer: b**(-46657\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*w - 76*w = -1378508. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -5. Let p be -1 + f\/3*3. Let x(j) be the third derivative of -j**6\/120 + j**5\/12 - j**4\/4 + 5*j**3\/6 - j**2. What is x(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of 7*f**6\/10 - 6*f**5\/25 - 63*f**4\/20 - 8*f**3\/5 + 6*f**2\/5 - 22. Find r, given that s(r) = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-0.2219\nAnswer: 1.1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 500 a factor of 199500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 2*a - 56. Let u(s) = -s - 7. Determine u(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2563*q + 64657. Determine f(-25).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24890*o**4 + 110*o**3 + 5624391*o wrt o.\nAnswer: -298680*o**2 + 660*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*y**5 - 448*y**4 - 109260*y**3 - 1054160*y**2 + 1379056*y - 215232 = 0.\nAnswer: -38, -12, 2\/11, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 283*f - 178*f + 225*f + (2*f + 0 + 0)*(-2 - 2 + 8).\nAnswer: 338*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 48433 + -32306. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*q + 38*q = -72. Let g be q\/(-9) - (14\/3 + -5). Solve -9 = -g*w - 3*m, w - 2*m = -3*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10.4 - -13.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*d**2 + 209667105337*d - 209667105337*d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 638 >= 640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 109 - 112. Let d(t) = -4*t**2 - 10*t + 14. Let v(k) = 2*k - 2. Let b(w) = j*v(w) + d(w). Solve b(x) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/2188980 and 67\/1459320.\nAnswer: 4377960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 14. Let m(o) = -5761*o. Let g be m(b). Is g\/(-39) + (-2)\/13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 11:42 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11270296*u**5 + 7*u**2 - 640092*u.\nAnswer: -676217760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1281, -1285, -1291, -1299, -1309, -1321?\n\"Answer: -r**2 - r - 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, 3, 180, -1, 4, 377 in ascending order.\nAnswer: -1, 3, 4, 25, 180, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -23. Let z be ((-3)\/6)\/(3\/(-138)). Let g = z - h. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 494135 at most 5435475\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12882735*z**5 - 50556*z**2 + 47 wrt z.\nAnswer: -772964100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - l + 3*l)*(8*l**4 + 12*l**4 - 4*l**4).\nAnswer: 16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 128*r**5\/7 - 241638240*r**4\/7 - 1751882670*r**3\/7 - 2450373580*r**2\/7 + 2627826240*r\/7 - 543688128\/7 = 0.\nAnswer: -4, 3\/8, 1887806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**12*j*j*j)\/j*j**(-14))\/(j*j**(-4))**(-3\/31) assuming j is positive.\nAnswer: j**(-9\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -12\/35 and -3\/2800.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(190) - (sqrt(190)*-2 - sqrt(190)))*5)\/(sqrt(1210)*-2 - sqrt(1210) - (sqrt(20) + sqrt(320))\/sqrt(2)) + 1.\nAnswer: 1 + 60*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 69*f. Let t be g(2). Let s be 6\/(-2) + t - 2. Find the third derivative of s*y - 133*y + 8*y**4 - 2*y**2 wrt y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.5580973 centimeters?\nAnswer: 0.000005580973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 7. Put 0.3, q, 0 in descending order.\nAnswer: q, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, j: 6, u: 3, b: 5}. Give prob of picking 1 e, 1 j, 1 b, and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -2*c - 25886000, 37*c = 4*x + 39*c - 51772000. Round x to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/8 and 97\/2944360.\nAnswer: 2944360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(114) + sqrt(114)*1)\/sqrt(6).\nAnswer: 1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -106.5 times 1?\nAnswer: -106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -268, -257, -244, -229?\n\"Answer: c**2 + 8*c - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -2. Suppose -2*q + 10 = -2*w, -3*w = w - f*q + 20. Sort -1, 3, w.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, -7995, 20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26 + 60*p**2 - 1714*p + 228*p**4 + 26 - 113*p**4 - 112*p**4 + p**3 wrt p.\nAnswer: 36*p**2 + 6*p + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 373*j - 4211. What are the prime factors of b(58)?\nAnswer: 7, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0291 - -0.0162. Let k = -2.9871 + q. Which is the closest to -1\/4?  (a) -0.3  (b) 0.1  (c) 4  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10686 and 702?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -f - 13, -5*f + 0*f = i + 17. Let j(v) = 6*v**2 + 2*v + 3. Let s(w) be the second derivative of -w**4\/12 - w**2\/2 + 89*w. What is f*s(t) - j(t)?\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55 + -274\/5. Let m = -166 + 169. Sort 0.1, s, m, 4.\nAnswer: 0.1, s, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 949 - 535 + 3*p - 489 to g*p + z and give z.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 84140 divided by 3005\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.3947948cm?\nAnswer: 3947.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, z: 2, w: 4, d: 5, c: 1}. Give prob of sequence zed.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/16 and 47\/780.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -25*3\/45*4*(-441)\/98\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158487187 is divided by 399?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5533677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**10)**(-31)*(z*z**3\/z*z)\/((z*z**(-5))\/z))**(-26) assuming z is positive.\nAnswer: z**(-7488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 6:45 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -7. Differentiate 5 + 0*t**4 + 4 - y - t**4 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 0 + 0*v**3 + 1\/12*v**4 - 7*v**2 + 0*v. Let j(x) = 35*x. What is n(j(d))?\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -51226 - 15213.\nAnswer: -66439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*p, 2*p = 3*s - 7 + 3. Put s, 2, 0, 197 in ascending order.\nAnswer: 0, 2, s, 197","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 32*o**2 - 198*o + 21. Let l be j(-7). Calculate the greatest common divisor of 85 and l.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -4*h**2. Let c(n) = -2312*n**2 + 3*n. Determine c(z(b)).\nAnswer: -36992*b**4 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 58185 (base 9) to base 15\nAnswer: b765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vovvovvvvmvovvvoo. Give prob of picking 1 m and 1 v.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 2*sqrt(1216)*2*-5*1*3)**2.\nAnswer: -1920*sqrt(19) + 4377604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - -1. Let n = 0 - 1. Let t be 2\/n + 3*2. What is the greatest common divisor of t and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 333 + -163. Let a = -109 + h. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41 + 7. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-20)\/(-21) - (-12)\/(-18). Let z = -29 - -41. Let f = z + -12.1. Which is the closest to f?  (a) 4  (b) -2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -g + 1631, -2*g = g - n - 4900. Suppose 7*v + g = -1167. What is v rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 162*o**3 - 26*o**2 + 17*o - 17. Let r(d) = -54*d**3 + 9*d**2 - 6*d + 6. What is 6*j(n) + 17*r(n)?\nAnswer: 54*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/4)\/((-2)\/(-12)). Let t be (-5 - -3)*2\/6. Let k = t + 1\/3. Which is the nearest to k?  (a) w  (b) 4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*l + 4*l + 1 - 3*l)*(127*l - 11*l - 4*l) as o*l + n + p*l**2 and give p.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f + 27 = -63. Let b(y) = 2*y**4 + 9*y**2 + 4. Let r(m) = m**4 + 4*m**2 + 2. Let o(d) = f*r(d) - 4*b(d). What is the derivative of o(w) wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5771 - 4007. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1541 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 5*u, -3*m + 6*m - 4*u = 0. Factor -3*g + m - 3\/2*g**2.\nAnswer: -3*g*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 3) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45 - a - 2*a + 3*a + 20*a**3 - 22*a**3.\nAnswer: -2*a**3 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 21 = -5*v. Let h be -6*((-14924)\/(-8))\/v. Suppose -h = -6*q - 57. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1677 divided by -39.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(5) + sqrt(15)\/sqrt(3)) + ((sqrt(320) - (sqrt(320) + -1 + sqrt(320))) + sqrt(5))**2.\nAnswer: -8*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*j - 7 + j**2 + 92 - 14*j - 45*j wrt j?\nAnswer: 2*j - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -448*u - 252*u + 29400. Solve -u*f + 80 = -26*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2387\/385 - (-2)\/(-10)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5655 and 13920?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 1.1. Let r = -33.1 + 32.1. Which is the closest to j?  (a) 0  (b) r  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 4*n**2\/3 + 76*n + 1080 = 0.\nAnswer: -30, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 15 + -3870?\nAnswer: -3857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 25266737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 198 and 3234.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of 0*c - 1\/2*c**2 - 2. What are the prime factors of l(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15973374 is divided by 1597335?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z - 6. Let s be r(-6). Suppose -15 = -5*x - s*x. Calculate the remainder when 1*5 - (0 - 3) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (0 - (-10 - 27)) - 15?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -212*a**2*t**5 - 6*a**2*t**2 - a*t**5 - 11*t**2 wrt t?\nAnswer: -12720*a**2*t**2 - 60*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.21, -0.3, -24 in decreasing order.\nAnswer: -0.3, -3.21, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 + 3*b + 2. Let j(m) = m**2 + 2*m + 1. Let a(r) = -4*j(r) + 5*p(r). Let y be a(-6). Suppose y*g + g = 4. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 29.8?  (a) 61\/7  (b) 2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 1 + 2*h**3 - h + h**3 - h**2 - 2*h**3 in the form w + y*h**2 + t*h**3 + v*h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26418 + 3?\nAnswer: 26422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 divided by 19?\nAnswer: -27\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a422b + 1?\nAnswer: -a422a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 + 2*i - 1. Suppose 5*o - 10 = -3*k, 5*o - 10 = 2*k + 3*k. Let t(u) = 2 - 3 - o*u + 0. Let g be t(-1). Determine q(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 53575652 and 5834972?\nAnswer: 589332172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -10780*r + 713. Is a(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -4*l**3 - 12*l**2 - 3*l - 3. Let p(n) = 3*n**3 + 12*n**2 + 2*n + 2. What is 3*p(o) + 2*y(o)?\nAnswer: o**3 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -12202101000 (base 3) in base 8?\nAnswer: -335161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -5*b**2 + 745*b. Let d(x) = x**2 - 186*x. What is -18*d(a) - 4*l(a)?\nAnswer: 2*a**2 + 368*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*(3 - 2 - -2). Let c = 6 + d. Suppose 24*j - 25*j = 0. What is the third biggest value in j, 1\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 4*q**5 + 84*q**4 + 552*q**3 + 1192*q**2 + 1044*q + 324 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68521*c + 69445*c + 12936 = 0 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*b, g + b - 25 = -0*b. Solve -g = 2*o + 3*o - u, 0 = -o + 3*u + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n - r - 13, 2*r + 16 - 5 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202 - 246 = -32*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 1  (b) -3  (c) -0.4  (d) 0.58  (e) 10  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 192 divide 18240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**2 - j**2 + j**2 + (-j + 2*j - 3*j)*(0*j - j + 5*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-4))\/((-68)\/(-408)). Let o(i) = i**2 + 11*i - 4. What is o(f)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -1 + z - 4 + 6*z. Let q(i) = 10*i - 7. Let k = -3 - -5. Let s be k\/(-8) + (-19)\/4. Give s*q(y) + 7*c(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11100010101110011 (base 2) in base 7?\nAnswer: 662302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -36861 or -36862?\nAnswer: -36862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 20 = w. Let f = -1747\/6 + 290. Let i = -23\/12 - f. Which is the nearest to 1\/3?  (a) 0  (b) i  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 7) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 6 = 4*u. Suppose 239*h - 9845 + 8889 = 0. Sort u, 272, h.\nAnswer: u, h, 272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -280, -728, -1474, -2518, -3860?\nAnswer: -5500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/(-2))\/(5\/10). Let k = n + -3. Let d be (2\/4 - k)*-2. Let j(h) = 7*h - 1. What is j(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110221 + -11?\nAnswer: 110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3141097 plus 0.2?\nAnswer: 3141097.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 9328 divided by -176\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4117, -4109, -4101, -4093, -4085, -4077?\n\"Answer: 8*i - 4125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(405) - -6*(1 + sqrt(405))) + 1*(1 + sqrt(405)) - (sqrt(405) + sqrt(405)*1 + -3 + 0 + sqrt(405) + -5))*3 + -5)**2.\nAnswer: 10800*sqrt(5) + 92725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(297)\/sqrt(3))**2 - (2 + 3*sqrt(11)).\nAnswer: -3*sqrt(11) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -128 times -10\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(280) + sqrt(280)*1)\/sqrt(10))\/((sqrt(192)\/sqrt(6))\/sqrt(8)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -43, -171, -387, -691, -1083?\n\"Answer: -44*o**2 + 4*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, o: 3, b: 3, n: 2, r: 1, m: 3}. Give prob of picking 1 o, 1 f, and 1 b.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -277 + 285. Let g be (-24)\/(-192) + 31\/k. Solve -3*o + 5*o + 2*t = g, 1 = t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2234015551.\nAnswer: 29, 77035019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -2*l**2. Let f(a) = 6*a + 44. Let c be f(-7). Let u(j) = 65*j**2 - 72*j**c - 2 + 2. Give k(u(q)).\nAnswer: -98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1536693608.\nAnswer: 2, 192086701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3*-1*(-1 + sqrt(325) + -1 + (sqrt(325) + 0)*4)*2)**2.\nAnswer: -3600*sqrt(13) + 292642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**23)**(-20)*((m\/(m\/((m\/(m**(-5\/9)\/m))\/m)))\/m*m*m)**50 assuming m is positive.\nAnswer: m**(5110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 28\/4 + 9 + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 38, 48, 48, 32, -6, -72, -172?\n\"Answer: -j**3 + j**2 + 14*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 + 31.85. Let q = -0.45 + z. Let s = 2 - 2.2. Which is the closest to -1?  (a) 2  (b) s  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4085)\/(-129) + 460\/(-69)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 346 a factor of 6392153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o + 20 + 34 = 0. Let f(d) = 5*d**2 + 6*d - 2. What are the prime factors of f(o)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -3 - w**2 + 7*w - 4*w + 1. Suppose -17*h - 286 + 1510 = 0. Let r be 21\/9*h\/84. Determine n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29074 times 6\nAnswer: -174444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of t**3\/3 - 3*t**2 - 2*t. Let m(g) = 6*g - 17. Let f = -29 + 12. What is f*o(k) + 6*m(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fvv when three letters picked without replacement from fqffvqfllljrvvr.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*n + 5*b = -117, -4*n - 3*b = -353. What is the remainder when n is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138388051.\nAnswer: 461, 300191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 - 12*m + 7. Let f be p(-11). Calculate the highest common factor of f and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/4452 and 115\/252.\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2002580 by 100129.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 37277309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 536115 divided by 35741\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 355aaaa (base 11) to base 9.\nAnswer: 12611426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34.3 + 5.7. Let n = -148 - -187.5. Let y = s - n. Which is the third smallest value?  (a) y  (b) 0.3  (c) 2\/33  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 925 and 9943075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 173 - 172.8. Are u and 0.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (30 - (-4 + 0))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 285188 or -3\/4?\nAnswer: 285188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 76\/26 - (5 - 2). Put -1, -0.4, z, -2\/7 in decreasing order.\nAnswer: z, -2\/7, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1334 (base 8) in base 14?\nAnswer: -3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*g - 3370 + 1133 = 2109 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*v + 10*v + 17*v + 15*v + 11*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*f - 9 = -70*f - 64*f + s, 4 = 4*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + 1. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in -2\/3, 2, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from ulgclcggcgclgg?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -33213500 (base 7) to base 10\nAnswer: -2860865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 77, 98, 125?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 60723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 18178 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/208 and -95\/3692?\nAnswer: 14768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -110 + 114. Solve 0 = -2*m + m + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 9:19 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 5*k**2 + 3. Let y be 1 - ((-9)\/3)\/(-3). Let m be (y + 1)*(0 + 5). Calculate q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 5:40 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from duddiuuduuubudbu?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9470, 19366, 29262, 39158?\nAnswer: 49054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(162\/24))\/((-12)\/(-54)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/9)\/((-4)\/(-36)). Let a(s) = s + 5. Does 6 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*g + 13 - 12*g + 3*g - 11.\nAnswer: -25*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 200*l**2 + 10*l - 12. What is the hundreds digit of s(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -222, -233, -244?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -57092815 by -5.\nAnswer: 11418563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -316.099116 + 256815.\nAnswer: 256498.900884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-44*q**2 - 26*q**2 + 23*q**2)*(-74*q - 90*q + 56*q) to the form z*q**2 + o*q**3 + g*q + m and give o.\nAnswer: 5076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 3:00 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/10 + (-552)\/(-115). Solve 3*b - 3*s - s = 6, j*s = b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**2 - 190*c\/3 - 64\/3 = 0. Calculate c.\nAnswer: -1\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2250*b - 751*b - 748*b - 749*b - b**3 as t + z*b**2 + f*b**3 + q*b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-51)\/(-6)*(282 - (-20)\/(-5)). Suppose -11*i = -m + 603. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -3*s + 27, s - 4*p + 3*p = 9. What is the first derivative of -s + 4*w - 7 - 2 - 32*w wrt w?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*b + 3*n, b - 5*n - 1 = 1. Let d be b\/(-8) + 3\/12. Suppose 4*c + 5 = -k, 10 = -d*c - 5*c. Solve -4*m = -3*v + 9, -3*v - m - k*m + 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/4  (b) -1124  (c) -1\/48  (d) -2\/7  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-3))\/(-4 + (-16)\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -57*n - 8942. Give z(-114).\nAnswer: -2444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101002 (base 3) to base 5.\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4.6 * 41\nAnswer: 188.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -558, -462, -294, -54?\n\"Answer: 36*o**2 - 12*o - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.156126 less than -62673695?\nAnswer: -62673690.843874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -143.02 rounded to the nearest integer?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -3*z. Let t(c) be the second derivative of 13*c**3\/6 + 3*c**2\/2 - 32*c. Give x(t(d)).\nAnswer: -39*d - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of -l**3\/3 + 1. Let g(w) be the second derivative of w**4\/6 - 43*w. Determine g(h(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 3*b**2 - 3*b. Let p be 14\/(-84) + 46\/(-12). Determine x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27.82 - 0.18. Let v = -33 - u. Put 1\/3, 34, v in decreasing order.\nAnswer: 34, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + i = 5*r + 15, r + i = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 107779 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 667*d + 3300*d - 119010 = 0 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -266*b + 1087207 - 1099443 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -430.63699937 + 430.727. Let l = -0.09 + u. What is l rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-20)\/14)\/(1450\/(-812)). Sort -2\/7, c, -2\/9, 3 in ascending order.\nAnswer: -2\/7, -2\/9, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -0.5  (b) 5  (c) 4  (d) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 819.6 + -813.6. Let s = 1.2 - 0.2. What is the closest to s in 0, -5, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221614801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258*l = 265*l - 35. Solve 0 = l*o + 20, 6*o + 26 = -2*m + 2*o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1431?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 362, -57, -5\/2, 1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 31688, 31735, 31862, 32105, 32500, 33083, 33890?\n\"Answer: 6*b**3 + 4*b**2 - 7*b + 31685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46795100.\nAnswer: 2, 5, 11, 19, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g. Let l(n) = 4409*n. Let u(a) = 13228*a. Let h(i) = 7*l(i) - 2*u(i). Determine k(h(j)).\nAnswer: 4407*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -8*2\/8*108\/(-36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 90 = 7*i. Let y(s) = -6*s. Let d be y(-6). Calculate the greatest common divisor of d and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 5 - 100*u - 2 - 2 + 1 - 3*u**2.\nAnswer: -3*u**2 - 100*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eez when three letters picked without replacement from {z: 1, d: 1, n: 1, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -4*k**2 - 15*k + 11. Suppose -4*c - 40 = -2*a, 0*a - a + 8 = c. Suppose 0*d + a = 2*d. Let g(h) = -2*h**2 - 7*h + 5. What is d*m(o) - 13*g(o)?\nAnswer: 2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 99540 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*m)*(1 + 2 - 2) + 4*m - 2*m + 0*m + 3*m + 0*m - 2*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6.8 + -7.3. Let p = -264.01 + 264.1. Put s, 11, p in descending order.\nAnswer: 11, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -116, -5, -171973, -1, -4 in ascending order.\nAnswer: -171973, -116, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -292008 divided by 69\nAnswer: -4232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177 is divided by 82?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 5 + 2)*(-2 + 1 + 0)*(4*s - 4 + 4)*(-3 - 3 + 4) to u*s + j and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 4*i**2 + 3*i - 5. Let h be w(-5). Suppose b = -2, -h*a = -5*b + b - 103. What is the remainder when a is divided by -6*((-6)\/9)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5373705113?\nAnswer: 7, 767672159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + (-7)\/3)*0. Let g = w - -18. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x + 4. Let r(k) = 3*k - 5. Let s be 19\/4 + 4\/16. Let g(w) = s*z(w) + 4*r(w). Let i(q) = 4*q**2. What is i(g(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 + -0.2. Let o be (1\/((-20)\/(-32)))\/(4\/(-10)). Let z be 2 + o + (-12)\/(-7). What is the nearest to z in -3\/8, g, 2\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -40298, -40295, -40290, -40283, -40274, -40263, -40250?\n\"Answer: j**2 - 40299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 + 2*i - 16. Suppose -5*o - 2*b = 19, -118*b - 11 = o - 120*b. Determine p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -4635?\nAnswer: -4635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*p + 6*p + 34 = 0, -2*t - p + 47 = 0. Suppose -16 + t = i. Calculate the remainder when i*(-2)\/(-5)*5\/2 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 2:20 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2 + 22200*d + 41070000.\nAnswer: 3*(d + 3700)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17017831007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of 1\/30*y**4 + 3*y + 2\/5*y**2 - 1\/5*y**3 + 0. Suppose k(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 (base 4) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + q + q)*(-37 - 127 + 43)*(6 - 2 - 2)*(3*q + 0*q + q).\nAnswer: 1936*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/4*(36\/(-6))\/((-455)\/26)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -74195 or -74?\nAnswer: -74195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -319*x**2 - 283*x**2 + 477*x**2 as o + q*x**2 + m*x and give q.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 547829299.\nAnswer: 19, 83, 311, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*j**2*u*w - 283*j**2*u wrt w?\nAnswer: -15*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144993 is divided by 78?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from uuwq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3133\/39)\/((-1)\/(-6)). Let g = p + -477. Let t(q) = -5*q + 5. Let b(v) = 4*v - 4. Give g*t(s) + 6*b(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**3 + 78*m**2 - 98*m + 41. What is y(-40)?\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(1\/2))\/g)**47\/(g**(1\/4)*g)**(11\/3)*g**3*g*g**(-3)*(g**0)**(-1) assuming g is positive.\nAnswer: g**(239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9357406.\nAnswer: 2, 4678703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from wvkjkj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -46208*l**3 - 608*l**2 - 2*l.\nAnswer: -2*l*(152*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 101*n - 580. Give d(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/(-14) + 10\/(-35). Let v(g) = 12*g - 2. Let k be v(x). Solve 4*t = -k - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24964 - -24963. Let g = -0.18 + 0.1. Which is the nearest to g?  (a) z  (b) -3  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -75 + 89 + (27 - 7 - ((0 - 0) + -2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 4) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1157, -1174, -1191?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -207.13 and -0.1.\nAnswer: 20.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5450771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 3\/(-2)*616\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 48675 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 887553 to the power of 1\/2, to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -123*u + 32*u + 31*u + 33*u + 29*u. Let r(q) = -2*q + 135. Calculate y(r(l)).\nAnswer: -4*l + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 588023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = b + b. Let s(f) = -5*f - 13. Let u be s(b). Suppose -4*n + 504 + 1122 = d, 2*d - 3232 = u*n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15427630 - 77549443\/5. Let p = c - -398584\/5. Let g = 2534 + p. Find the common denominator of g and 46\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -21*y**2 + 4*y + 1. Give o(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 554901 to the power of 1\/2, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, -1, 66, 16\/3, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 3*x**2 + 6*x + 12. Let g be m(-4). Let k = g + 5. What is the greatest common divisor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10295581.87 to the nearest 1000.\nAnswer: -10296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-162)\/(-1377) - (1195062\/(-34) - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 785 divide 36238740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*u + 19, -43 - 28 = -3*u - 4*p. Calculate the highest common divisor of 68 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2996 - 2008. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.43 and -526.\nAnswer: -525.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 8048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 59, 101, 95, -1, -229, -631, -1249?\n\"Answer: -7*i**3 + 18*i**2 + 37*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-2) - 3 - -19. Let w = m - 22. Let v be (w\/8)\/((-3)\/12). Put v, 4, 3 in decreasing order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*q - u - 0, 3*u = 5*q + 8. Let j be 57 + (q - 0\/(-3 + 0)). What is the greatest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*x**2 - 32*x**2 + 97*x**2 - 35*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**2 + 2*d + 2*d**2 - d**2 + (2 - 2*d - 2)*(0*d + d - 2*d).\nAnswer: 3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -1 - (37 - 106 - -61)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 426 = -5*m, -5*m - 2*h + 258 = -2*m. Suppose 28 + m = i. Let f = i - 33. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, a: 2, p: 2, l: 6, q: 1}. Give prob of sequence papa.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (551*t**2 - 179*t**2 - 178*t**2)*(-t**2 + t**2 - 2*t**2) to r + j*t + v*t**3 + o*t**2 + h*t**4 and give h.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11205749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-15)\/(o\/(o*o**3*o)*o)*(o**(7\/3)\/o)**(-45))**(-3\/8) assuming o is positive.\nAnswer: o**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + -17. Let f = 13 + y. Which is bigger: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-2) + ((-150)\/(-4))\/15. Suppose -g - 61 = -t*m + m, -g + 71 = m. What is the greatest common factor of m and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2472 + 42034\/17. Which is the second biggest value?  (a) g  (b) -2\/11  (c) 7  (d) -0.4  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x. Let y(f) = -15*f**2 + 2. Give u(y(d)).\nAnswer: -15*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 12:02 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 866521 divided by -127.\nAnswer: -6823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69543 is divided by 175.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -4\/7, -0.23, -7 in decreasing order.\nAnswer: 1, -0.23, -4\/7, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 10 = 0, -5*k - x + 3*x - 25 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 82\/3 - 27. Let u = -12 - -13.3. Let g = -1.5 + u. Which is the second smallest value?  (a) g  (b) -4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34890931 is divided by 34890922.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 363 a factor of 93540315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.7 minus -597353060?\nAnswer: 597353062.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -522, -502, -468, -414, -334, -222, -72?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 194491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*m - 20*m = 65 + 367 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-2)\/(-6*(-8)\/(-216)) and (0 - -1)\/(1\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 489 = 5*p, -4*p + i + 325 = -68. Suppose 0 = -2*r + 5 + 3. Suppose r*n - 45 = -9. Calculate the greatest common divisor of p and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 10:46 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-48)*550\/(-55)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1111*l - 8 = 1103*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 134 - 2. Let f = 5641 - 5467. Calculate the remainder when f is divided by g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 - 5555*t**2 + 1545675*t - 1540125.\nAnswer: 5*(t - 555)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15749397505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211139?\nAnswer: 199, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 428977724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -49 - -77. Let u be 96\/(-42) + 8\/y + 2. Factor 3\/10*f**2 + 1\/10*f**4 - 3\/10*f**3 - 1\/10*f + u.\nAnswer: f*(f - 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3508260 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0\/(-1) - 3) + 3. Suppose -d + 0 + 3 = v. Suppose 0 = 3*b - 0*b. Solve -3*r - d - 3 = b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 12921129 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of q**4\/6 - 25*q**3\/3 + 212*q**2. Calculate j(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -6, -1\/11, -9, 0.47, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 81 + 269 - 3*l - l**2 + 3*l - 148 to the form r*l**2 + u + i*l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 527 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -38936 + 72502. Is 26 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-2\/33))\/(m*m**(6\/11)*m) assuming m is positive.\nAnswer: m**(-49\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + -1)*(-4)\/(-8). Let y = 5 - t. Let s(v) = 3 - 2*v - 2 + y. Calculate s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.08, -5, -1\/8 in decreasing order.\nAnswer: 1, -0.08, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26024.\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(2 + sqrt(363)))**2.\nAnswer: 704*sqrt(3) + 5872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78)\/273 - 12\/(-91)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 10152\/(-81)*((-9)\/2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 3:15 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 - 17*a - 17. Determine g(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 723582089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -613.1 + 311. Round d to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 565956 divided by 1194?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165 = 4033*r - 4018*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8834 by -6.\nAnswer: 4417\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -11, -1, -136, 2\/3?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 + -33. Let o be 3 - u*(-9)\/30. Sort -2\/5, o, -0.1 in descending order.\nAnswer: -0.1, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1535 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 43*v - 22. What are the prime factors of b(8)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rqyz when four letters picked without replacement from {r: 4, y: 5, z: 4, b: 6, q: 1}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + 2. Let a be (-23)\/(-2) + 3\/l. Suppose -x = x - a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 - 19. Let b be x\/(25\/5)*-2. What is the third biggest value in 5\/3, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 194 = -23*q - 72. What is the biggest value in q, -4.1, 12\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12709589821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36943, 7, -1.\nAnswer: -1, 7, 36943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -6*(sqrt(1100)*2)**2 + -4 + (1 + 1 + sqrt(1100) - (sqrt(1100)*-2)**2*6))*4.\nAnswer: -211192 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 2*x - 5*q = 0, -5*x + 19 = -3*q. Let v(w) = -x*w**2 - 5*w**2 - w**2. Let n(y) be the second derivative of -y**4\/4 - 1118*y. Give v(n(r)).\nAnswer: -99*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.4 + 2.6. Suppose -17*n = -11*n - 12. Let q be 10\/30*(0 - n). Which is bigger: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/2*79*-2. Suppose 115 = 29*c - 30. Suppose 0 = -i - i + 10, u - c*i - r = 0. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 6 - 1)*(-2*v - 2*v - 7*v + v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -14*g**3 - 2*g**2 + 2. Calculate the remainder when 53 is divided by k(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2789 - -2bb25?\nAnswer: 326b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 8, 0, -1, -5, 1502, 1 in descending order.\nAnswer: 1502, 8, 1, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.229 - -0.029. Let u = -107.2 + 103.2. Let d = q - u. What is the third smallest value in 0.2, -2\/7, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 c when four letters picked without replacement from cbccfbfbcbc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t - 3*t - t)*(2 + 0 + 0)*(-2 + 2 + 17).\nAnswer: -68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 61570785?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 39.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(200) - sqrt(450)*-1 - (-2 + 0 + sqrt(50))*1)**2 + 1 + 0.\nAnswer: 80*sqrt(2) + 805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2888, 2889, 2890?\nAnswer: 2891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 2:43 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2943726*i**3*w**2 - 5*i**3*w - i**2 - i - 66219428*w**2 wrt i.\nAnswer: -17662356*w**2 - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -25*d. Let v(x) = 84*x - 847. Let h be v(10). Let c(l) = -24*l. What is h*f(t) + 6*c(t)?\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.1, 0, -21\/10, -2.\nAnswer: -21\/10, -2, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4156449\/344 - 12083. Calculate the common denominator of z and 23\/1075.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -0.07\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of -x**6\/40 + 11*x**5\/20 - 9*x**4\/2 + 18*x**3 + 2*x**2 + 13*x. Factor i(c).\nAnswer: -3*(c - 6)*(c - 3)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(9 - 0 - ((-347)\/(-39) - 780\/(-5850)))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2c00 (base 13) to base 14\nAnswer: 24aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/18 and 198\/20 + -4 + 4?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2 - 2 - 6*g + 1. Suppose -5*t + 135 = 5*q, 3*q - t + 14 = 87. Calculate the remainder when q is divided by w(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 12*j**2. Suppose -b + x + 8 = 0, -2*x = b - 1 + 8. Let c be (-20)\/(-4) - 0 - b. Let k(y) = 50*y + c - 2 - 48*y. Determine k(v(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 43443 (base 5) in base 4?\nAnswer: 232312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000433 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8314434 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 + 49*r + 43227. What is i(-185)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of -n**6\/120 - n**5\/20 + n**4\/8 - n**3\/6 + 5*n**2 + 7*n. Give t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (3 + sqrt(2))) + -5 - (sqrt(6)\/sqrt(3) - sqrt(2))*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 664250 is divided by 480?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 682133795 divided by 136426759.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 + -15.7. Let j = b + 14.7. Let t = j + -11. Sort 0.1, t, 1 in decreasing order.\nAnswer: t, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**5\/2 - 33*t**4\/2 - 435*t**3 - 1201*t**2 - 2331*t\/2 - 765\/2 = 0 for t.\nAnswer: -15, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x - 2 - 12 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -61.2 - 3.8. Let u = 880043.53999936 + -880108.54. Let j = s - u. Round j to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a**2 - 11*a + 11. Let u(n) = -n**2 + 12*n - 13. Give 6*p(c) + 5*u(c).\nAnswer: 7*c**2 - 6*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3.15 + -40921.64\nAnswer: -40924.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5525)\/3276 + (-1)\/(-6). Let r = x - -14\/9. Let d = 262\/5 + -52. Is d < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 - 8*k**2 + 441*k + 3542. What is r(-9)?\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/2)\/((11\/4)\/(93\/558))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 9, -1, -31, -87, -175?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of -g**5\/20 + g**4\/12 - g**3\/6 - g**2\/2 + g + 1. Let h(i) = 6*i**3 - 3*i**2 + 3*i + 4. Calculate h(n) + 3*q(n).\nAnswer: 3*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 20 and -4114?\nAnswer: -82280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, s: 3, r: 1}. Give prob of sequence xss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1714 and -2?\nAnswer: -0.3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dly. What is prob of sequence yld?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36945\/1588 - -6\/397. Find the common denominator of 43\/28 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.7049 nanometers in micrometers?\nAnswer: 0.0237049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide -3 + 8\/(-4) + 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57 and 28029370?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 2 + 4. Suppose 0 = -d + x, 0 = -3*p - 5*d + d - 2. Is (20 - 10 - (p + 1))*7 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of -4*m + 0 + 1\/2*m**3 + 0*m**2. Let f be p(1). Put f, -3, -1 in decreasing order.\nAnswer: f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 149*a + 181*a - 392*a + 150*a.\nAnswer: 88*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, a: 4}. What is prob of sequence aaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*v = -47*v - 1270. Calculate the remainder when v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 10:12 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*r**2 - 10*r**2 - 105*r**2)*(-2 - 2 + 3)*(3*r - 5*r + 0*r) + 2*r**3 + r - r.\nAnswer: -274*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 100601 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*j - 19*j = -1886. Solve -j = -12*u + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 - -46. Let f = o - 19. Let d be 1\/2*f\/(-6). Sort 0.4, 1\/4, d in decreasing order.\nAnswer: 0.4, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.9799888 + -0.98. Round p to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1407, 5645, 12709, 22587, 35267, 50737?\n\"Answer: -2*k**3 + 1425*k**2 - 23*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 112 + -110.92. Let y = -1.38 + g. Is y equal to 0.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 205 + -102. What are the prime factors of (0\/(-3) - 3) + u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/36)\/((-48)\/(-27)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*a + 136 - 346 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 115 - 174. Let i = c - -58.9. What is the closest to -1\/5 in i, -2\/19, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 6392\/2256 + 1\/(-2)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -48, 9, 96, 207, 336, 477, 624, 771?\n\"Answer: -i**3 + 21*i**2 + i - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1*22)\/(54\/(-1107)). What is the highest common factor of y and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, 9, 0 in decreasing order.\nAnswer: 9, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, u: 1, n: 14}. What is prob of sequence nnn?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yd when two letters picked without replacement from {y: 2, e: 2, d: 1, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f - 2. Suppose -6*t + 86 = 50. Calculate b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 4)*(7 + 1 - 5)*(0 + 0 - 2)*(-17*i + 6*i**2 + 17*i).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -2*z + 3*z + 15, -5*z - 5*t = 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2554*u - 2508*u - 300*u**5 + u**3 - u**3 wrt u?\nAnswer: -6000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e + -3?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 370772 is divided by 2181.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b + 5*b**5 - 3*b + 2*b**5 wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + 0 + 5 + -4. Let a(v) = 411*v + 1676. Let j be a(-4). Solve b*c - j = -8*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - h**2 - 1)*(11*h**2 + 16*h**2 - 11*h**2) + 7*h - 7*h + 2*h**4.\nAnswer: -14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14432173529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from aaramcccdddadad.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - s - 3)*(0 + 2 - 1) + 9*s + 5*s - 5*s + (1 - s - 1)*(3 - 4 - 1) - 4*s + 3*s + 4*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*b + 93 + 141 = -158 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (17\/3)\/(2\/(-6)). Let n = m + 21. Suppose 0 = -4*x - 3*j + 196, -j + 196 = n*x - 5*j. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11332 is divided by 204.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3*f - 1)*(2*f - 2 + 2)*(-118 - 54 - 106).\nAnswer: 1668*f**2 + 556*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 1720004 and 1720006 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 84*u - 1355. What is the lowest common multiple of y(25) and 624?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2776 = -280*i + 1714*i + 275*i + 1067*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 + (-240)\/(-360)*-57?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 53*q**2 + 8*q + 20. What is the units digit of w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 42 + 29. Let i = 139 - o. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 + -20. Sort -2, -4, t.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 61 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -22c8046 - 1?\nAnswer: -22c8047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -190, -4, 0.4, 3, 1\/4, 2\/39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 78 (base 16) to base 6\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -902, -901, -888, -857, -802, -717, -596, -433?\n\"Answer: w**3 - 6*w - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 116 and 1214248.\nAnswer: 35213192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.39232 to 1 dp.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -2*z**2\/11 - 164*z\/11 - 320\/11 = 0?\nAnswer: -80, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -i*k*z**2 - 2*i*k*z - 2*i*k - i*n*z**2 - 95*i*n*z + 2012*i*z**2 + 9*i*z - 931012*k*n + 5*k*z**2 + 32*k wrt n.\nAnswer: -i*z**2 - 95*i*z - 931012*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**2 - 5*j**3 + 3*j**2 + 3*j - 2*j + 1. Let h be x(-1). Suppose 2*q - h - 24 = 0. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - n**2 + 68 + n + 6*n**2 - 3*n - 76. Let a be w(-5). Suppose 8 = -2*m + 14. Sort m, 4, a.\nAnswer: a, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3467 - 6695 + 3383 = 31*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5330915 by -1055.\nAnswer: 5053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -a**5 - 1037*a**4 - a**3 + 10058*a**2 wrt a.\nAnswer: -60*a**2 - 24888*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**6*h*h*h**(19\/4)*h**(-1\/3)\/h*h**37 assuming h is positive.\nAnswer: h**(581\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68548, 274186, 616916, 1096738?\nAnswer: 1713652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 - (-78)\/24)*-1. What is the biggest value in t, 0.7, 0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9 + (-318)\/(-30))\/((-4)\/(-150)). Let w be (24\/15)\/4 + (-24)\/x. Let i be -3 - 3\/(-6)*14. Solve -4*a + 5*k + 0*k - 7 = w, -4*k = i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*k + 9 = 21*k - 36*k + 3*a, 23 = k + 5*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 1. List the prime factors of (21 + 4)*2\/o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122388 is divided by 995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -5*k**3 - 10*k. Let i(r) be the first derivative of -r**4\/2 - 3*r**2\/2 + 27. Give -8*i(y) + 3*p(y).\nAnswer: y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -11*b**3 - 6*b**2 + 6*b + 7. Let c(x) = -32*x**3 - 17*x**2 + 17*x + 20. Determine 6*c(v) - 17*g(v).\nAnswer: -5*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -539 - -41505\/77. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - 8*z**2 - 6*z - 2. Let d be o(-7). Let u = d - -31. Let h be ((-4)\/2)\/(-1 - 0). Solve 10*y - 5*y + 2*g - 25 = 0, 0 = -4*y - h*g + u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11291*i**2 - 3783*i**2 - 3*i - 3790*i**2 - 3767*i**2 + 3*i.\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddjkwdjjjjwjwjqwqwj. What is prob of sequence dwk?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1918 or 600?\nAnswer: 1918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 5 + 5. Suppose g + j = 2*j + 3, -p*g + 8 = -j. Let h = 6.69 - 2.69. Put g, 1\/4, h in decreasing order.\nAnswer: g, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73876 divided by 478.\nAnswer: -36938\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -130962 - -30?\nAnswer: -130932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m + 2*v - 6, 5*m = 3*v - 153 + 136 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215*i - 5 = l + 218*i, 6 = -2*l - 2*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108*c**5\/7 + 181260*c**4\/7 - 60324*c**3\/7 - 141004*c**2\/7 + 87264*c\/7 - 13424\/7 = 0. Calculate c.\nAnswer: -1, 1\/3, 2\/3, 1678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - o - 21. Suppose 36 = -5*i - 44. Is y(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 49 = 32*s - 30*s, -3*s = -3*n + 78. Let o(w) = w**3 + 7*w**2 + 5*w - 6. Let t be o(-6). Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 13 - 3. Suppose -n*x + 42 = -2*x. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -14*r - 58. Let j be x(-9). Suppose -j*m + 64*m - 4 = 0. Put -0.81, m, 4, -5\/3 in decreasing order.\nAnswer: 4, -0.81, m, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68*h**2 - 83*h**2 - h - 1 + 138*h**2 - 2*h**3 to s*h**2 + a + p*h + r*h**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, e: 5}. What is prob of sequence eel?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6232.449ml to litres.\nAnswer: 6.232449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -0.4, 5, 0.05.\nAnswer: -0.4, -0.04, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 10) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 77 and 2321?\nAnswer: 16247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4783, -4768, -4743, -4708, -4663, -4608?\n\"Answer: 5*o**2 - 4788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)\/(1*sqrt(10)) + sqrt(209)\/(sqrt(66)\/sqrt(6)) - ((0 + sqrt(19))*4 - sqrt(19))**2*-6) + 1.\nAnswer: 2*sqrt(19) + 1027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 112.5009  (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of -r**4\/4 + 2*r**3 - 3*r**2 - r + 52. Suppose -b - 76 = -3*u - 10, 5*u = 5*b + 100. Let i = -18 + u. What is z(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 5 = -5*c + 2*n, -21 = 3*c + 5*n. Does 32 divide 4\/(-20) + ((-1305)\/(-25) - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1500)*1*2 - sqrt(1500)) + sqrt(1500) - sqrt(1500)) + sqrt(1500))\/(sqrt(54)\/sqrt(2)*3)*-3.\nAnswer: -20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 2*h**2 + 2*h**3)*(3*h + h - h) + 2*h**3 + 42*h**4 + 50*h**4 - 85*h**4.\nAnswer: 13*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4906856 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/3 + 185*b - 2750\/3.\nAnswer: -(b - 550)*(b - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*t - 3 + 147*t - 9*t)*(4*t + 7 - 3 - 3*t) to v*t**2 + z*t + x and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {b: 1, f: 2, l: 3, p: 1, u: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/15288 and 89\/17199.\nAnswer: 137592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 22*a**2 + 8*a + 16. Let f(k) = 14*k**2 + 5*k + 10. Let n(r) = 8*f(r) - 5*o(r). Let q(l) = 21*l**2. What is q(n(x))?\nAnswer: 84*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (38\/(-8))\/(2\/(-179*8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -107604 by -14.\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15341 + -4169. Is (-4)\/(-14) + (t\/7)\/(-10) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 32\/279 and -54\/19521103?\nAnswer: 175689927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 84 - 32 = 0. Calculate the highest common factor of i and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20733 + -20732.999960107. What is k rounded to 6 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2314422431 - 10?\nAnswer: -2314422441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 171670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/206, 5, -5\/14, 0.4 in increasing order.\nAnswer: -5\/14, -3\/206, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1951497?\nAnswer: 3, 29, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/(-10))\/((642\/72)\/107)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-2*2\/8). Suppose -q = -h*y - 2*q - 4, -3*y - 4*q = -10. Let f = y + 7. Solve 3*l = f + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 332502 and 6973.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 54*s**2*y + s*y**2 + 1262*y**2 wrt s?\nAnswer: 108*s*y + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 2*b + 3*l + 21 = 0, -b + 4*b - 9*l = -14*l + 12*l + 41 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40722\/13574)\/(((8\/34)\/(-4))\/1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -295*m**3 + 258*m**2 + 3*m. Let x(i) = -295*i**3 + 260*i**2 + 2*i. Let d(v) = -3*x(v) + 2*z(v). What is the third derivative of d(h) wrt h?\nAnswer: 1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 5 + -1 + (-8 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c**3 + 98*c**2 + 334*c - 1139. Calculate w(52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or -63?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 120\/1*(-3)\/(-2). Suppose -7*c = -2*c - v. Suppose c = -f + 5*f. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001010 - 1101110101?\nAnswer: -1100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 626885 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {y: 1, m: 3, t: 1, v: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 10) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5*r + 4*l - 436, 2*r - 4*l - 194 = 0. What is the remainder when r is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -3. Let h be (0 + (-6)\/(-9))*-6. Put h, q, 1 in increasing order.\nAnswer: h, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 11 - 24*j - 20*j + 46*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*s + 11 = 15 + 72 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**6*k*(k*k\/k**(5\/2)*k)\/k)**(-1)*(k*(k**(-1\/3)*k)\/k*k)**(-41)\/(k**(-2\/9)*k*k**(-7)) assuming k is positive.\nAnswer: k**(-1235\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.9, -2, 3, -5, -20, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12025)\/(-1443) + 1\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/8 + -43\/40. Let n be (-3)\/(-13)*-1*-9*6\/(-81). Sort r, n, -7, -0.5 in increasing order.\nAnswer: -7, r, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2. Let w = -10 - -20. Let q = -7 + w. Let p(n) = -q + 3*n + 3. Calculate p(h(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 2)*(-5 + 2 + 0)*(2 - 2 - 3*s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + j + 1. Let f be 1\/((-3)\/6*1). Let i(t) = -t - 1. Give f*i(w) - 2*y(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 5 + (-3 - 0) - (314 - 380).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40478 and 66267.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from acdoadfoajjojjjfaoc. Give prob of picking 2 f and 1 d.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 79f6dd (base 16) to base 3\nAnswer: 120001002102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -1. Let v = -5 + d. Let u be (v + 0\/(-1))\/1. Is 2\/13 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 8*p**2 - 7*p - 10. Let q be (-2)\/2 + (-80)\/10. Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.67691548+0.31\nAnswer: 0.98691548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 412079.07*-0.3\nAnswer: -123623.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 + 21*k**2 - 20*k + 17. Calculate g(-22).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 - 4*o + 3. Let q be f(2). Suppose -48 = -q*l - l. Let r = 7 - l. Is -3 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*y**2 - 11*y**2 + 8*y**2 + 2*y**2 to the form f*y + n*y**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26093 = -3*q - 95056. Let f = q + 203496\/5. Let u = 318 - f. Which is greater: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.29963 and 0.6.\nAnswer: 0.179778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (180\/240)\/(90\/8)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.759 - 0.159. Sort 0.4, l, 0.5, -1.\nAnswer: -1, 0.4, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1758106 divided by 1411?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3107188736 from -0.5.\nAnswer: -3107188736.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 divided by 3.\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*d**2 + 248*d + d**2 - 243*d.\nAnswer: 17*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -374234?\nAnswer: -3\/374234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3250193821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 18. Let y(i) = 26*i - 1. Let w be y(3). What is the highest common divisor of w and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 20*t - 16. Suppose -33*r - 2 = -34*r. Suppose -r*a - 57 = a - 2*y, -5*a = 5*y + 95. Let x be n(a). Solve -x*m + 4 + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34208.2*324\nAnswer: 11083456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjx. Give prob of sequence jxj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 8:26 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/2 = -1422324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -184428 less than -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.9555 - 0.0445. Sort 1\/2, -5\/3, -3, j in decreasing order.\nAnswer: 1\/2, -5\/3, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 601184.\nAnswer: 2, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6616 and 8270?\nAnswer: 33080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(84\/248))\/(-50*69\/(-10350))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 671.999996573 + -672. Round b to seven decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(-1 - (-12)\/(-3)). Let u(g) = -21*g. Let x be u(-5). Suppose 0*q = h*q - x. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1206636*i**3 - 506190*i wrt i?\nAnswer: -7239816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, z: 7}. Give prob of picking 1 z and 2 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -307435, -307680, -307925, -308170?\nAnswer: -308415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -516*p**5 + p**2 - 95 wrt p.\nAnswer: -30960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 366 and 2359297.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/(-2) + 4)*-3 + 1446. Let j(p) = -z*p**2 + 2 - 7*p + 0*p - p**3 + 1449*p**2. Suppose -2*c + 4*c = 10. Give j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/(-365)*41)\/1. Let m = -7675\/1022 - d. Find the common denominator of m and -107\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 3*u - 3*b - 14, 14 = 2*u + 2*b. Let p(j) = -j**3 + 6*j**2 - 3*j + 2. Let x be p(u). Suppose -k + 13 + x = 0. Solve -8*v = -3*v - k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + -1010101101011000111001010110?\nAnswer: -1010101101011000111001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 555b8 - -2?\nAnswer: 555ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 30*v + 7072 + 21*v - 271*v**2 - 47*v - 470*v**2 wrt v?\nAnswer: -1482*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/60)\/(297\/(-162)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -22, -19, 4, 59, 158, 313?\n\"Answer: 2*b**3 - 2*b**2 - 5*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5+7843\nAnswer: 7838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**3\/13 - 4*f**2\/13 + 2*f\/13 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -677*x**2 + 1. Let z(u) = 66*u**2 + 1. Determine -n(b) - z(b).\nAnswer: 611*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 155\/1104 and -29\/16?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {q: 3, d: 2, e: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (32042182703581\/54)\/(2110\/15). Let w = 4218296837 - b. Let r = w + -2\/1899. Calculate the common denominator of r and -17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 12, -1 in descending order.\nAnswer: 12, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of o**3\/6 - o**2\/2 + o. Let g(i) = 3*i - 3. Suppose -2*a + 10 - 6 = 0. What is a*k(m) - g(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1174 from 15.\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 + 25. Solve -3*r + v*r = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 475211.\nAnswer: 11, 43201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 - 13 + 4*q**2 + 4*q - 7*q**2. Let k(f) = 8*f**2 - 7*f + 26. Let z(r) = -4*k(r) - 7*o(r). Find the first derivative of z(t) wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of m**3\/3 + m**2 + 3*m + 5. Let f(s) be the first derivative of y(s). Calculate f(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3046630 (base 10) in base 5?\nAnswer: -1234443010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - 408\/(-33) - (-1)\/(((-848)\/96)\/53). Let -2\/11*c**5 - 5120\/11*c**2 + 16384\/11*c + 0 - h*c**4 - 1344\/11*c**3 = 0. What is c?\nAnswer: -16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + -6. Calculate the common denominator of (-4)\/(-14) - 1342\/(-56) and (232\/24)\/((-4)\/m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13420669, -13420670, -13420671, -13420672, -13420673?\nAnswer: -13420674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 98 = -y. Let q = -26 - y. Solve -5*r = -5*n - 4 - 1, n - q = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*p*t**2*z + 2266*p*t**2 - 75*p*t*z + p*t + 2*p*z - 77*z + 1 wrt t.\nAnswer: 6*p*z + 4532*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of 2\/3*v**3 - 1\/120*v**6 + 3\/20*v**5 - 11*v**2 + 0 + 0*v - 1\/3*v**4. Calculate f(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15823 divided by 3?\nAnswer: -15823\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8 - 3\/((-1)\/((7 - 1)\/(-6))). Solve 4*g + 2*a = 2, n*g - 180*a = -182*a + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 + 96. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*k + 18*k**3 + 7*k**3 - 15*k**3 + 15*k**3 to d*k + o*k**3 + r + n*k**2 and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/4)\/(((-4)\/6)\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 4*y + 4658 = -6*y, 5*b - y = 11661. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u + 19 = 8 - 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 4:14 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 2, h: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k**4 + 67*k**3 + 86*k**2 - 2?\nAnswer: 48*k + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13122 - 2013331?\nAnswer: -2000203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/315 and 13\/72?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.02381 - 591.02381. Which is the third biggest value?  (a) v  (b) 1\/12  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*r - 215 - 149 = 0. Solve -3 = -r*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 c when four letters picked without replacement from uuuuuucccuucc.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*i - 2 - 5*i + i + (3 - 3 - i)*(-2 - 2 + 3)*(-8 + 4 - 2)*(3 + 0 - 2) in the form v + c*i and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2112 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 9*a**2 + 6*a - 15. Determine s(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 35 = -9*p + 5*j, p - 1 = -j. Which is the closest to 2?  (a) 2\/7  (b) p  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4952128875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 7*x = -4, 0 = 3*o + 20*x - 18*x - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -303009 - -c?\nAnswer: -302eec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -52312.00000060253 + 52312. What is a rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 399*10*(-3)\/(-315)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 13 = -4*y, 0 = -3*i - y - 0*y - 19. Let k(d) = -d**3 - 6*d**2 - 6. List the prime factors of k(i).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {n: 1, b: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-13400)\/3752*(-28)\/130\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that d**4\/10 - 911*d**3\/5 + 3637*d**2\/10 + 546*d = 0.\nAnswer: -1, 0, 3, 1820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 150372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/3, 0.5, 4, -0.11 in descending order.\nAnswer: 4, 5\/3, 0.5, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 5*t + 5*d = -7 - 2, 2*d = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z = -18*z + 24. Let g(i) = 696*i**3 - 4*i**2 + 4*i - 3. Is g(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 238.4 - 234.4. What is the nearest to -0.4 in a, 0.045, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 9 = -2*i. Suppose -4*n = -2*n + 5*z - 13, 0 = -i*n + z + 28. Suppose -2*x - 3*x = -130. What is the remainder when x is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, r: 5, o: 6}. What is prob of sequence ooh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -137*k + 9 + k**2 + 128*k - 5 + 4 + 12. What is r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -12. What is the closest to -1 in 1\/6, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.9393 + 0.0507. Let i = z - 4. Let d = -0.99 + i. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2350003 = -5*d + 3*g, 3*d = 2*d - g + 469999. Round d to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13703587 is divided by 94507.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 251464.43 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -i - 82. Round i to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25806 - -25801. Is -2805 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*k**2 + 20*k**2 - 58*k**2 - 77 - k**3.\nAnswer: -k**3 - 57*k**2 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 16749622 to the power of 1\/2, to the nearest integer?\nAnswer: 4093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000015356047 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -23103101 (base 5) to base 3\nAnswer: -101111110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 4*a + 4 = 0, 0 = -4*m + 10*a - 8*a + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 36\/37  (b) -2\/5  (c) -3  (d) 4\/43  (e) 1\/6  (f) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, n: 2, x: 8}. Give prob of picking 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -186.69 times -2?\nAnswer: 373.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5495 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - r**2 - 2*r + 65. Determine i(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 118, 189, 366, 703, 1254, 2073, 3214, 4731?\n\"Answer: 9*p**3 - p**2 + 11*p + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*s + 11. Let x(c) = -s*c - 13*c**2 + 6*c**2 + 3*c. Let t(u) = -14 - 3*u**2 + 24 - 10. Calculate x(t(i)).\nAnswer: -63*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((24\/(-18))\/(-2))\/((-32)\/(-18)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.8 + 1. Let r = 2.321 + -0.021. Let k = 2 - r. What is the closest to k in 3, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + 4*a - 3*a)*(2 - 9 - 1).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3*r - r = 0. Suppose 2*w - 5*w - 4*z + 68 = r, -4*w + 5*z + 39 = 0. Suppose x = -11 + w. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -25*y + 31*y + 178 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 4*b - 782 = -742, -6*b = 4*y + 42 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4111676 hours in milliseconds?\nAnswer: 1480203.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6179\/(-18537)*(-63)\/(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 862 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7068 + 7068.1. Let n = -4 - 2. Let w be n\/((-1 + 2)*2). Which is the closest to w?  (a) -3\/7  (b) l  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -t**5\/20 - 5*t**4\/6 + 3*t**2 - 10*t. Let g be x(-10). Put -4, g, -5 in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 31 = 54. Let q = -15 + g. Solve 3*h = -q*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8.531*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-81)\/(-12) - (-15)\/(-20). Calculate the common denominator of -53\/4 and n - 6 - (-12)\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 3\/2, 189?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + 58ad19?\nAnswer: 58ad1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1337374 * -0.1\nAnswer: 133737.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13.016 - -0.016. Let r = 13.1 + q. What is the fourth smallest value in 5, r, 2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44\/(-220))\/((156\/(-1320))\/(-13)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*y - 2*y + 0*y)*(-y + y - 2*y + (0 + 3 - 5)*(6*y - 2*y - 2*y) + (14 - 5*y - 14)*(-2 - 3 + 4)) to the form u + w*y + a*y**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m + 45224*m**3 - 45217*m**3 + 12 + 6 - m**3 + 3*m**3 - m**3 + (2*m**3 + 5*m**3 - 5*m**3)*(0 - 2 + 4) - 2*m**3 - 2*m**3 + 3*m**3.\nAnswer: 11*m**3 - 2*m + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a - 55. Let w be s(0). Let q be 2\/(-6) + w\/(-3). What is the units digit of (q\/(-4))\/(3\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -27895*y + 6. Is w(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: What is the smallest common multiple of 55420 and 1706936?\nAnswer: 8534680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = -5*z - 7, z + 19 - 12 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 26 = -2*q. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1220200200221 + -1112?\nAnswer: 1220200122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4337 + 4400. Let c(l) = 837*l - 63. Let t(j) = 27*j - 2. Give k*t(x) - 2*c(x).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3456, -13, 4.\nAnswer: -3456, -13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -212 (base 3) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -13*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b66 (base 16) to base 13.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -w**2\/4 + 27723*w\/4 - 622755\/2 = 0.\nAnswer: 45, 27678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 + 18.9. What is the third smallest value in -3, 4, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + s - 2*s + (s - 1 + 1)*(-11 - 9 + 6))*(s + 0 + 0).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u - 4. Let f be y(-6). Let k = 16 + f. Calculate the common denominator of -39\/7 and (2\/k)\/((-4)\/78).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2 + -1 + sqrt(99) + ((sqrt(99) + (sqrt(99) - (1 + sqrt(99))) - sqrt(99) - sqrt(99)) + 4)**2 + -1 + sqrt(99) + 4*sqrt(99)*-1 + -1.\nAnswer: -24*sqrt(11) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-58*p**3 + 131*p**3 - 68*p**3)*(-16*p**2 + 2*p**2 - 13*p**2 + (3*p + 0*p - 4*p)*(1 - 1 + p)).\nAnswer: -140*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 578*s + 4837 = 38*s - 14063 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3888789 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/(o\/o**(1\/4))))**(1\/16))**(3\/4)*(o**(-1\/2))**48*o*o*o**2*o\/o**(-6) assuming o is positive.\nAnswer: o**(-3319\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/266156991 and 31\/252162.\nAnswer: 532313982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-27 - 64 + 16)*(-3 + 1 - 1) + 1 + 2 - 4 - 1 - 1 + 0)*(-x**3 + 0*x**3 - x**3).\nAnswer: -444*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, k: 4, g: 5}. Give prob of picking 2 k and 2 g.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((18\/6)\/(-3))\/(40\/(-20))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 4)\/(-5)*2*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -19*w + 7*w + 10*w. Let v(t) = t - 2. What is v(l(s))?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 236714231*l - 203430031?\nAnswer: 236714231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -98.\nAnswer: -98, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -474267, -474263, -474257, -474249?\nAnswer: -474239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*g - g, 3*k + 1580 = -5*g. Let t = k - -955. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 5170*y**3 - 48*y**2 + 121*y + 5. Let j(c) = -2585*c**3 + 30*c**2 - 61*c - 3. Let s(q) = 3*i(q) + 5*j(q). What is the third derivative of s(k) wrt k?\nAnswer: 15510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) -4  (b) 4  (c) 3\/2  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 766 = 54*h, 3*h - 14*d + 24 = 2*h - 25*d + 9*d for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 121 and 14564.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 14 - 20*u**3 + 2*u**3.\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12916 is divided by 173?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12008, -12013, -12018?\nAnswer: -12023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c = 5*n - 454490871, -454490906 = 4*c + 2*n. Let t = 186822724 + c. Suppose -9*a + t = -15*a. Round a to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*z**2 + 945 - 945.\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 21\/4793  (c) -0.3  (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -5, 0.2 in descending order.\nAnswer: 0.2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139113.\nAnswer: 3, 13, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 7:59 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/4)\/(7\/(-42)*3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*r + 8. Suppose b - 84 = -r*b. Let q be (-2)\/(-2) - -2*1. Calculate the highest common factor of q and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) 0.07  (c) -4  (d) 1.02  (e) -0.3  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4256 + 4994. Calculate the highest common factor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 182 divide ((-819)\/2)\/1*((-3104)\/24 + 64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 5 = 2. Suppose -200*g = -194*g - 180. Suppose -225*m - g = -235*m. Put -5, m, p in descending order.\nAnswer: m, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*a - 187 = -277 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f - 8. Let m be s(-11). Let v = m + 65. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -15  (b) 6  (c) -41  (d) 19.3  (e) -2  (f) 3  (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from {k: 1, x: 5, m: 6, h: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 3 - 11. Let k(j) = j**2 + 8 - h - 5 + 12. Is k(0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1962060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39 - 4594*k**2 + 69 + 4593*k**2 - 7 - 11.\nAnswer: -k**2 + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 643, 764, 885, 1006, 1127?\n\"Answer: 121*h + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56\/323 + 54165\/1292. Let x = r + -487\/12. What is the common denominator of x and -93\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5103 divided by 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 0*u = -3, -5*s = -5*u - 70. Let r = s + -19. Let h be 2\/9 + 32\/(-63). Which is the closest to -0.1?  (a) h  (b) -2\/3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 5*h**2 + h - 1. Let r be g(1). Solve 3*p = -r*v + 25, v - 2 = -0*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-39)*260\/(-80)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 221383103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11, 0, -11, -22, -33, -44?\n\"Answer: -11*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 3*k**2 - 8*k + 2. Let r(b) = b**3 - 7*b**2 + 9*b - 8. Let d be r(6). What is the remainder when x(5) is divided by d*3\/6 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.31624 kilometers in micrometers?\nAnswer: 48316240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.02 - 5.98. Let z be (-2)\/3 - (-4)\/24. What is the third biggest value in 1\/6, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhzhhmzhmmz. Give prob of sequence hhm.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + (22 - -19) - 14 - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -2\/101, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 806*y - 13481. Calculate r(18).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i**2 - 2 - i**2 - i + 3 - 3. Let a = -7 + 11. Is 7 a factor of t(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 5*q + 65 = 5 - 0, -9*q + 16 + 99 = 4*u - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of 14\/5*p**5 + 0*p**2 - 10 + 0*p + 0*p**4 - 3*p**3. Find the third derivative of c(s) wrt s.\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -686.4674 rounded to the nearest integer?\nAnswer: -686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9265 divided by -109?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 63361 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -3*s - 56. What is the units digit of 2\/(-14) - 44\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 324 = -c + 14*l, 5*l + 1221 = 4*c. What is the highest common factor of 207 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 6 + 4 = 0. Suppose o*i = 6*i - 4*g - 20, 0 = 4*i - 3*g - 17. What is the third derivative of 2*m**5 - 2*m**2 + m**i - m**5 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 + 36. Let x = h + -8. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d - 10. Let r be q(-6). Suppose 0 = 2*m + r*m + 32. Let h = -7 + 10. Which is the second smallest value?  (a) m  (b) 0.4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 183 + -163.82. Let u = n - 19. Let l = 10861\/5 + -2172. Which is the nearest to u?  (a) -1\/5  (b) -5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 754, 755, 766, 793, 842, 919, 1030?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9089503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3528 is divided by 3522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m. Let a = -142 - -185. Let w(o) = -7*o - a*o + 135*o + 100*o. Calculate w(z(n)).\nAnswer: 370*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2276 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.051 * -0.4.\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/251 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0016122 to five dps.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -28.1 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2079*r*v**3*w - r*v**2*w + 2*r*v*w - 19*r*w - v**3 - 2*v**2 + 34*w - 4 wrt v?\nAnswer: -12474*r*v*w - 2*r*w - 6*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*r - 322 = 0, -5*p + 5*r + 880 = -720. List the prime factors of p.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000271211 rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, k: 1, n: 2, l: 3}. Give prob of sequence tn.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 82\/(-4) + 15\/(-20)*-2. Which is smaller: -61\/3 or h?\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 88352 by 251.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 61640171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*p**2 - 46*p**2 + 10*p**2 + 14*p**2 + 15*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1196651802 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -714718, -1429972, -2145226?\n\"Answer: -715254*a + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (180\/(-84))\/(6\/(-7)*(189\/54)\/(-1))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 4 - 18. Let m = l - -108. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292 is divided by 92?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + (-11)\/(-9) - 867295\/(-117). Suppose 103*f + r = 106*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.646106 to 3 dps.\nAnswer: -7.646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n**3 + 4*n**3 + n**4 + (0*n**3 + n**3 + n**3)*(-n + 3 - 3) - 3*n**4 + 12*n**4 + 7*n**4 to j*n + x + k*n**3 + p*n**4 + t*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**2 - 3*r**2 + 3*r**2 + 0*r**2 + 2*r**2 - r**2 + (-r - 4*r + 3*r)*(-2*r - 3*r + 4*r) + r**2 + r**2 - 4*r**2 + 504*r**2 + 174*r**2 - 96*r**2.\nAnswer: 581*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -5*y - 20, d + y + 14 = -2*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20507431220 take away 0.2179?\nAnswer: 20507431219.7821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 7 + 21 = 0. Let n be (w\/(-4))\/(2\/4). Suppose 5 + n = 2*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4457.7 - -0.5.\nAnswer: -4457.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 4*l + 3*b - 972, 0 = 3*l + 3*b - 582. Is 15 a factor of (-3 + l\/3)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 12 = -5*s, -9*d + 11*d + 6 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10  (b) -3  (c) -2  (d) 2\/461  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 239486 is divided by 78460?\nAnswer: 4106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from vjvvvvvvvcvcvcvv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 28 = 17. Suppose 0 = -37*j + 12*j + 275. Let n = j - d. What is the greatest common factor of n and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59, -98, -125, -134, -119, -74, 7?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2244 + -691. Suppose o + 742 = 9*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 3*l - 6. Suppose 2*i + 47 = f, f + 5 = -0. Let h = i - -42. Suppose 5*o + 2*d = -d + 37, -4*d = -h. Calculate s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (248\/31)\/(2*8\/((-192)\/(-6))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -471097212 divided by 2.\nAnswer: -235548606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, u: 10, o: 3, p: 1, l: 1}. Give prob of picking 1 u and 3 a.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2655603 - -2655603.5000042. Let c = -0.5 + d. What is c rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + -1 - (1 - 8). Which is the nearest to 2\/7?  (a) p  (b) 0.13  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 117 divide 33291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4062 divided by -1.\nAnswer: -4062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d + 1. Let q(r) = 9*r - 2. Let c = -106 - -102. Let s(y) = c*q(y) - 7*t(y). Is s(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 610850 and 60442.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 734804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 12:50 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = -35*f + 127*f - 216. Solve f*p + 5*g = 23 - 21, 5*p + 4 = -g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of -n**5\/60 + 45*n**2. Let h(y) = -11*y**2. Determine h(o(g)).\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of 0*v**2 - 1\/3*v**3 + 0*v**4 + 3*v + 0 + 0*v**5 + 1\/15*v**6. Find the second derivative of z(q) wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/6)*r**(-1\/4)*r**(-2\/13)*r**(-4\/7))\/(r**4\/r**(2\/5)*r**0*r*r*r**(1\/5)\/r*r*r) assuming r is positive.\nAnswer: r**(-41543\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -96639*t - 676488. Give q(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -104\/111711?\nAnswer: -104\/111711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -21 - -32b264?\nAnswer: 32b243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 1:20 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42682, 90717, 138752, 186787, 234822, 282857?\nAnswer: 330892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*w**2 - 20*w**2 + 10*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 5  (b) -1  (c) 0.61  (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20358 + 20358. Solve 289*b - 278*b + 99 = t for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*b. Suppose -y - 2*y = b. Let n = -12\/5 + 3. Is y at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*h + 13 = 0, 5*z + h - 3 = 24. Suppose 5*p - 9*a - 1035 = -4*a, -z*p = -4*a - 1032. Suppose -2*d + p = 4*u, -2*d - 2*d - 255 = -5*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 14700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19035 and 1.4?\nAnswer: 26649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/7)\/((-102)\/(-14) + (395 - 389))?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of b**5\/20 - b**4\/6 - b**3 + 3*b**2\/2 + b + 138. Determine s(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/13926 and -103\/44.\nAnswer: 27852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 728 less than or equal to 727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(3\/(3*1\/2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 127232 and 18176.\nAnswer: 127232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -636.20449 rounded to 1 decimal place?\nAnswer: -636.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g - 59. Give u(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/15  (b) 1\/3  (c) 84  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3059 + -3050. Solve 15*o = 6*o + h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -3  (c) -64178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of -z**7\/14 + z**6\/5 - z**4\/2 + z**3\/2 + 8*z. Suppose b(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**2\/3 + 1184236*q\/3 - 4736848 = 0. What is q?\nAnswer: 12, 592106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.631007 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)*-2*-5 + (sqrt(144)*2 - sqrt(144))\/sqrt(12))\/((sqrt(384) + sqrt(384)*2 - sqrt(384))*-4).\nAnswer: -11*sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4134.02 rounded to the nearest 10?\nAnswer: -4130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 5*d + 100, 18 = -v + d + 59. Solve v*r - 90 = -55 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(18\/(-216)*8)\/(4\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in 2, 228, 0.7, -3\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 + 3*t - 5. Let y be x(-4). Let i = 24 - 28. Let s be (0*i\/8)\/y. Solve -5*d + 5 = -3*z, z + s*z - 9 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 190631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 1442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -54621, -54633, -54655, -54687, -54729?\nAnswer: -54781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002061498 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.11  (b) 2\/5  (c) 0.35  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -6*y**5 + 9*y**2 + 4*y + 4. Let u(s) = -s**2 - s - 1. Let r(l) = -d(l) - 4*u(l). What is the third derivative of r(z) wrt z?\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1386?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 - 0. Let x = 0 - y. Let o be (148\/38 - -1) + 824\/7828. What is the nearest to 2\/3 in x, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 8:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -25. What is the second biggest value in s, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2947.272634 rounded to one decimal place?\nAnswer: 2947.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 7*p = 4*p. Let i(b) be the third derivative of -1\/8*b**4 + 0*b + 1\/60*b**5 + p + 1\/3*b**3 - 6*b**2. Let i(f) = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2311 is divided by (-4 - 16)\/((-1419)\/602 + (-2)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38832 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v. Let o be d(-4). Suppose 2*m + 3*i + 281 = 6*m, 3*m + o*i - 242 = 0. Let b = m - 72. Solve -6 = -b*c + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/686 and -81\/4.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 611 and 376?\nAnswer: 4888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*p - 781421 = -18047. Is 141 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32\/(-3) + 15 + (-874)\/57?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*a**3 - 5*a**3 + 8*a**3)*(4 + 1 - 7) + 11*a**3 + 4*a**3 + 16*a**3 - 2*a**3 + 0*a**3 + a**3 + (-4*a**2 + 3*a**2 + 2*a**2)*(-5*a + 3*a + 3*a).\nAnswer: 51*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -537, -4, -5, 3.\nAnswer: -537, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - 14) + (4\/(-7) - -1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fkfcc. What is prob of sequence kf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3032\/(-2274))\/((-12)\/(-513)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/4*53\/(1855\/168)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from ipdrpiprpprprpirpp?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3690 + 728*a - 730*a + 3690.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -13*i**2 - 7*i - 7. Let z(b) = -6*b**2 - 3*b - 3. Let t(m) = 3*y(m) - 7*z(m). Let d(n) = 5*n**2. What is d(t(j))?\nAnswer: 45*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0673564 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from {u: 2, i: 1, y: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*r + 340190 = 340690 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/5)\/(l\/(l*l\/l**(-1))))**(-10)*l\/((l*l\/(l\/(l**6*l))*l)\/l)*l\/l**(5\/4)*l*l*l*(l**(-3)*l*l)\/l*l*l**4 assuming l is positive.\nAnswer: l**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 5*m + 3. Let p be (27\/9)\/(3\/(-4)). Let f be a(p). Is 1 - f - (-53)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54915?\nAnswer: 3, 5, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8.5  (b) 4  (c) 0.2  (d) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjsjssjjssjjjjsssjs. What is prob of sequence sj?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1010173 and -130.74548.\nAnswer: -1010303.74548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 9:00 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3357?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 7:24 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 10*r**3 + r**2 - 2*r + 1. What is q(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 16\/1075247 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j - 6. Let x(i) = -11*i + 11. Suppose -2834 = 849*z + 562. Suppose 5*y + 45 = 10. Give y*a(m) + z*x(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 933378 is divided by 847?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is a23 (base 11) in base 8?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-3*(6*(sqrt(1584) + 1 + 3))**2*-4.\nAnswer: 82944*sqrt(11) + 1382400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27599, 24389, 19039, 11549?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 less than -35590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.618334 to 2 decimal places.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nlnllnllnvlnnkknl. What is prob of picking 4 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -54 or 23\/5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5328 - 5327.7. Let w = 2 + 8. Which is the biggest value?  (a) x  (b) -2\/11  (c) 0.1  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12538179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*j - 2. What is the third derivative of -2*b**j + 5*b**4 + 3*b**2 - 4*b**2 wrt b?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 0.3, -1\/10, -2\/9, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and 34784.3.\nAnswer: 34784.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 35*s - 378. Let r(o) = 6*o - 63. Let n(x) = 6*q(x) - 34*r(x). Determine n(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2553.025l to millilitres.\nAnswer: 2553025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -n**5\/6 - 11*n**4\/6 - 5*n**3 + 90*n**2. Let x(g) be the first derivative of w(g). Differentiate x(z) with respect to z.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 3*n**3 - 6*n**2 - 6*n - 11. Let o(m) = 3*m**3 - 5*m**2 - 5*m - 10. Let x(v) = 5*l(v) - 6*o(v). Differentiate x(r) wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + s = -3*s, u - 6 = -4*s. Let w be -12 - (u + (1 - 2)). Let c be (-1)\/2*(0\/(-8))\/9. Put 1, c, w in descending order.\nAnswer: 1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -12)*5*(-15)\/(-750)*(1 - 96)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -167 - -235. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8\/3 + 73\/24. Let u be 2\/(-15) + 82\/(-60). Which is the nearest to 0?  (a) -2\/9  (b) u  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-426)\/(-142)*5\/((-270)\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.97 - -0.03. Which is greater: 0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2075 = 12*i - 683. What are the prime factors of 2\/8 - 169331\/i?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -32. Let o be -7*(u\/(-6))\/((-3)\/(-9)). Solve -5*j = -5*k, 2*j + 7*k - 2*k + o = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 173 = 3*l, 0 = 3*l - 4*a + 6*a - 170. Suppose -10*q = -l + 76. Is q greater than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15389 + 814. Let i be p + (-1 - -2 - 4). Round i to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-54)\/15*10\/(-4). Solve 0 = -7*m + 4*m + t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 3*n - 16. Let z = 8 + n. Suppose 3*r = -d + 15, z*d + r = -3*d + 5. Which is greater: d or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -38662, -90402, -142142, -193882, -245622?\n\"Answer: -51740*q + 13078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.285?  (a) 1  (b) -13  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mnjr when four letters picked without replacement from {l: 1, m: 1, n: 1, r: 2, c: 1, j: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 188 and 0.05.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -818*t**6*w - 168*t**4*w + 32*t**2*w + 8*t**2 + 330*w wrt t.\nAnswer: -98160*t**3*w - 4032*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (1057\/539 - 2\/(-11)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181517 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 127, 223, 315, 403?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*v + 37 = h - 18*v + 10*v, 0 = -4*h + 2*v + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -413960 by -395.\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9999 = -98*j + 9209. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 52\/(-3)*(-9)\/90. Suppose 31*q - 111 + 18 = 0. Is f at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 241*h**6 + 47*h**5 - 4*h**3 - 47637*h**2 + 26*h wrt h?\nAnswer: 28920*h**3 + 2820*h**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -26 + 26 - 9*a**2 + (a**2 + 0*a**2 + 0*a**2)*(-2 + 4 - 4) - 3*a**2 + 3 - 3.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 4*i**2 + 2. Let f(l) = -l**3 - 4*l**2 + l + 1. Let p(o) = 4*f(o) - 3*w(o). Let v be p(-5). Let j = v + -3. Solve r + r = j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, 1\/9, -4\/7, -31, 840?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-765)\/12 + 0)\/(1\/(-20))?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 822*m - 6463. What is the thousands digit of y(57)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 33 = -2*k. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 17*z**2 - 9*z - 35. Let p(g) = -g**3 + 18*g**2 - 9*g - 34. Let f(n) = 4*b(n) - 3*p(n). What is the remainder when 71 is divided by f(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 64*w - 903. Determine a(-11).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -824*m + 1670. Let d be t(2). Suppose -4*k + 9*k = 0. Suppose k = -2*s - 1 + 177. What is the highest common factor of s and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -32 - -24. Which is smaller: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) + -2*sqrt(192) - sqrt(192) - sqrt(192))\/sqrt(8))\/(sqrt(24)\/sqrt(2)*6).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4902135 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.98648 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -11539?\nAnswer: 2\/11539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 + 11*p + 105. Give m(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 556 (base 7) to base 14\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*o + 3696 = -20*o. Does 56 divide (o\/(-50))\/(11\/(-55))*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*f = -112, j - 83 + 34 = 5*f. Let r = 126 + j. Round r to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -202 and -453?\nAnswer: 91506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 8 - l**2 + l + 2*l**2 + 0*l**2. Let b be u(0). Suppose 3*f + 24 = 4*c + f, 0 = -2*c + 3*f + b. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -6996*i. Let l(r) = -9*r. Give v(l(q)).\nAnswer: 62964*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/3)\/g)**(10\/9)*(g*((g*g**21*g)\/g)\/g)**(-43))**(-1\/27) assuming g is positive.\nAnswer: g**(25552\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (1*(6*(0 + sqrt(75)) + 6*(sqrt(75) + -1 - sqrt(75))) - (-2*1*sqrt(75) - (-3*sqrt(75)*-1 - sqrt(75) - sqrt(75)))))**2.\nAnswer: -630*sqrt(3) + 6124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/2))**(-2\/25)\/(c**(-4\/5)\/(c**6*c*c)) assuming c is positive.\nAnswer: c**(221\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n + 22. Let q be c(5). What is the nearest to -0.1 in 0.3, -1, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + 18. Let u = n - 33. What is the closest to -0.1 in -0.1, -1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4287406 * -7\nAnswer: 30011842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 - -7. Suppose -u + 5 = -d*u. What is the remainder when 17 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48 and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {m: 5, y: 1, p: 1, n: 7, i: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1631 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.034 from -17005084639.\nAnswer: -17005084638.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 43*l - 18*l**2 - 43*l + (-4*l + 0*l + 2*l)*(-1 + 2*l + 1) - 4 + 2*l**2 + 4 + 42 + 38 + 217*l**2 - 80.\nAnswer: 197*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 - 5*f**2 - 6*f - 1. Let p = -3 + -1. Let o be l(p). Let u = 13 - o. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23564789 - -23564788.03999945. Let c = 0.96 + r. What is c rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*t + 61 + 30, -5*l = -t + 27. Suppose -2 = 6*h - t. Does 9 divide h\/(-15) - (-70)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (-159)\/(-39))\/((-31)\/403)*-41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 251552 and 256816.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2952\/(-4100)*3\/(-27)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of z**9\/4536 - z**8\/5040 - z**7\/2520 - 3*z**3 - 19*z. Let r(i) be the second derivative of s(i). Let r(a) = 0. Calculate a.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/5 - 828\/(-180). Suppose 4*n - 8 = 0, -b*c + 7*c - 790 = -5*n. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vsh when three letters picked without replacement from hhhhvhhkshhsh.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -56\/1587, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.347 + -0.053. Let w = -1 - -1.2. What is the closest to w in 1, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 7 - 3*x**2 + x - 4 - x + 4*x - x**3. Let q be p(-4). Suppose j + 4 = q*j. Solve -5*m = a + 11 + 4, j = -m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-0.012128\nAnswer: 0.0024256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(833) + 1)*-3 - ((sqrt(170) + -1*2*sqrt(170))\/(5*sqrt(90)))**2.\nAnswer: 658\/225 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 25 = 4*r. Let h be (r\/(-2))\/5*-2. Let n = h - -5. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -270346 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -11571777 divided by 1743\nAnswer: -6639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7346 - -7359. Solve 6 = -3*x + 2*h, 16*x + h = v*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 1 - 1 + 6*x**2 + 4 - x**3. Let f be g(6). Suppose -f*u = 4*k - 372, -4*k - 5*u + 271 = -k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-720)*15)\/(54\/(-52) - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 3*v**2 - 3*v - 2. Let n be d(4). Calculate the remainder when 49\/3 - (-1)\/(-3) is divided by (-3 + 1)*(n + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -69*j - 22*j - 728 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 2*l = -5, -l = -4 + 5. Let w = 5.8 + -0.8. Let o = -6.7 + 6.5. Which is the second biggest value?  (a) o  (b) u  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 + -0.04. Let i = 1.05 + o. Let s = 0.225 - -0.275. What is the closest to i in -4, 4\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*b + b**2 + 14*b**3 - 4*b**3 + 17*b**4 + 3*b - 10*b**3 in the form y*b**4 + v*b**2 + c*b**3 + q + g*b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 2*g - 17 - 3, 0 = -v - g - 2. What is the nearest to 1\/3 in v, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lymykkkyyyym. Give prob of sequence kkky.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 55 - 7. Let m(t) = t**3 - 8*t**2 - 8*t + 1. Calculate the lowest common multiple of q and m(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*o + t + 180 = -5*t, -t = 20*o - 23*o - 26 + 4 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -203097*u**5*x + 2*u**3*x**3 + 2*u*x + 20831*x**3 wrt u?\nAnswer: -4061940*u**3*x + 12*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -46*g**2*k**3 - 2*g**2*k**2 - 50*g**2*k - 7*g*k**2 + k wrt k.\nAnswer: -276*g**2*k - 4*g**2 - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.5  (b) -2\/11  (c) -0.01  (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kt when two letters picked without replacement from ttvvkvkykvvvkyvtvhk?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -834905 by 185.\nAnswer: -4513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, b: 5, r: 4, p: 4}. Give prob of sequence oor.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, -314, -2 in descending order.\nAnswer: 5, 2, -2, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*i - 12*i - 5*i - 329*i**3.\nAnswer: -329*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 1305 = -3*d, -4*d - 89 = l - 401. Suppose 6*a - l = 3*a. 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: Suppose 2*k + 28 - 6 = 0. Let t(l) = -l**2 - 12*l - 10. Let v be t(k). Let h be (v\/3)\/((-9)\/81). Is h equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17.7 - 10.7. Which is the closest to 0.2?  (a) y  (b) 4\/3  (c) 2\/5  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5 - (0 + 1)) + -1. Let x(i) = 6*i - 5. Let c(j) be the third derivative of 11\/24*j**4 - 9*j**2 - 3\/2*j**3 + 0 + 0*j. What is h*x(m) + 4*c(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 202 + -203. Let v = -314 - -24802\/79. Which is the fourth smallest value?  (a) -2\/13  (b) f  (c) v  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -40.2  (b) -9  (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04 * -6733426.\nAnswer: 269337.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1234 + -1121?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - a - 5*a + 5*a - 2*a + (2 - a - 2)*(1 - 3 + 3))*(4*a**2 - 13*a + 13*a).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/3 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5 = -i - i, 21 = 4*i - 5*q. Suppose 4*a = 2*v, -a = -i*v + 2*a - 20. Is (v\/(-12))\/(2\/363) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/7  (b) 3\/19  (c) 7.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 + 106. Suppose 6*o = 2*o - l. Let m = -11 - o. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u - 6 + 0*u - 42 - 30*u**2 - 2*u**2.\nAnswer: -32*u**2 + u - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**2 - 14 + 14)*(184*f - 1 - 211*f + 1 + 730*f).\nAnswer: -703*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -27\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4892270*j**5 - 6*j**2 - j + 44967 wrt j?\nAnswer: -293536200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 + 4*a + 1. Let t be k(-5). Suppose -4*q + 3*u + 3 = -21, -3*u = 2*q + t. Let c(p) = p + 4. What is the units digit of c(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - 542?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-1*(-2)\/(-124)). Let z = 3335 + -3331. Sort b, -5, z.\nAnswer: b, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 384176 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*p**2 + ((-p + p + 2*p)*(-2*p - 1 + 1) - 3*p**2 + 0*p**2 + p**2 - 2*p**2 + 1 - 1 + p**2 + 0*p + 0*p)*(-3 + 1 + 3) + 0*p**2 - 3*p**2 + 2*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + (-4)\/20 + 0. Let q(h) = 8 + 13*h + 3 - 12*h. Let n be q(-11). What is the third smallest value in n, u, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a. Let p(f) = 1625*f**2. Determine r(p(t)).\nAnswer: 1625*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of 0*o**3 - 2*o**2 - 1\/15*o**5 + 0*o + 0 + 0*o**4 + 1\/120*o**6. What is the third derivative of j(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4210, 48, 7 in descending order.\nAnswer: 48, 7, -4210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3508154 nanoseconds in milliseconds?\nAnswer: 0.0000003508154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -5*f - 3*w + 20, 4*w + 20 = 5*f. Suppose 2*k + 2*r - 7 = -1, 2 = 3*k - f*r. Solve 3*i + 3 = -9, 4*q - 16 = k*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -437, -444, -463, -500, -561, -652, -779, -948?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*z - 25 = -27*z. Suppose 2*x - 7*x + 4*a = -67, 2*x - a = z. Is 120\/11 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -7\/5  (b) -3  (c) -9293  (d) -0.4  (e) -2\/3  (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -4*h**5\/5 + 44*h**4\/5 + 200*h**3 - 2224*h**2 + 13344*h\/5 + 78336\/5 = 0.\nAnswer: -16, -2, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -40 + 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 479849389.\nAnswer: 19, 439, 57529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (53 + 247 + 65)*(4*t + 0*t - 6*t)*(-3 + 6 - 2)*(-2*t**2 + 2*t**2 + t**2).\nAnswer: -730*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + t - 79 = 0, 3*w - 290 + 63 = -5*t. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.45 - 19.45. Let j = -18 - r. Let n = 3 + 1. Are n and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6421.199l to millilitres.\nAnswer: 6421199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -417 = -2*f + u + 4*u, 0 = -f - 5*u + 186. Find the common denominator of (18\/(-14) - -1)*10 and 10\/25 - f\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 262?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/5 - -2) + 72\/30*(-3058)\/132.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -30*d - 50. Let y be s(-25). Suppose -y = -10*a + 1830. Suppose 3*m - a = -k, 4*k - 120 = -2*m + 52. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51 + 281*c**2 - 563*c**2 + 281*c**2.\nAnswer: -c**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 4 = -3*w + 17, -5*g - 35 = -5*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6281 divided by 131.\nAnswer: -6281\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 210 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00450276841 rounded to 5 dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + u - u - 1 + 1 + 2*u + 0*u + 0*u - u + (-2 + 2 + 2*u)*(-2 + 1 + 3) - 2*u + 3*u - 3*u)*(2*u + 9*u + u)*(u**2 + u**2 - u**2).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, n: 4, z: 7}. What is prob of sequence znzo?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -102665353.9999981 - -102665361. Let o = 7 - k. What is o rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/3)\/(8\/(-12)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/5550972 and -137\/36.\nAnswer: 16652916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6527 - -6526.8. Let n = 3 + 7. What is the smallest value in b, n, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/57*(1452\/84 - (6 - -11))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1005, 2010, 3015, 4020, 5025?\nAnswer: 6030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - -37 - (0 + 28) - (-1 - 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7500, 15048, 22646, 30294, 37992?\nAnswer: 45740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/6*(-618)\/4. Let l = m - 114. Suppose l = 4*y - 2*n, -5*n + 3*n - 17 = -y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 5*k + 32 = 0. Suppose 57*a**3 + 4*a**5 - 37*a**3 - a**2 - 7*a**2 - k*a**4 = 0. Calculate a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 83964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17 - 3 - 77*t + 69 - 29 + (-5 + 2 + 1)*(4 - 4 - 2*t).\nAnswer: -73*t + 20","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 bigger than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ybwk when four letters picked without replacement from {k: 4, w: 2, y: 5, d: 2, m: 1, b: 1}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 139 + (-3)\/(3366\/156354).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -8*k**2 + 6411*k - 151. Let n(c) = 2*c**2 - 1832*c + 42. Calculate 5*g(z) + 18*n(z).\nAnswer: -4*z**2 - 921*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -2, 5, -2\/89?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 11295*a - 5715255. What is p(506)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.098 - 0.058. What is the third biggest value in -1, 1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23\/70 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/56593 or 214?\nAnswer: 6\/56593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1079 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d - 1. Let h(i) = 11*i**2 - 3*i - 3. Let z(a) = -h(a) + 3*r(a). Let q(t) = -2*t**2 - 2*t**2 + 5*t**2. Give q(z(o)).\nAnswer: 121*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*w**4 + w**2 - 69323*w + 26413676 wrt w.\nAnswer: 24*w**3 + 2*w - 69323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1026 divided by 4?\nAnswer: -513\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2255 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1155 and 374?\nAnswer: 39270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 87 divided by -1492060?\nAnswer: -87\/1492060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 3 = 5. Let a(i) = 10*i + 2*i**l - 3*i + 2 + 6 - i**2. Calculate a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1029 times 0.308\nAnswer: 316.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2773359 and 15.\nAnswer: 13866795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244437 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23244)\/(-112346) + (-11740)\/116?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66624845?\nAnswer: 5, 7, 43, 44269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**2 - 1857*w + 92106 = 0.\nAnswer: 51, 1806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 212 - 212 - 3*t + 4*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 109*w + 1. Let x be a(1). Let d = x + -202. Let k = d - -114. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1329971257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17284 or -17289?\nAnswer: -17284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 5*o + 159 + 956, 1111 = -5*x - o. Let y = x - -236. Solve 17*d = y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence shjv when four letters picked without replacement from {h: 1, s: 1, j: 2, v: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 264*s**2 - 264*s**2 - 3 - 5*s**3 to c*s + x*s**3 + m + h*s**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11462 = 5*g + 4*z + 4333, 4273 = 3*g - 2*z. Does 31 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 167*p**2 - 10*p - 5. Is 38 a factor of z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*i**3 + 110*i**3 + 32*i**3 + 502*i**3 + 49*i**3.\nAnswer: 668*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + 2)**2 - (sqrt(600)\/sqrt(12))**2) + -5 + (sqrt(128)*-2 - sqrt(128)) + 4.\nAnswer: 24*sqrt(2) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 12*q**2 + 2244*q + 15488. What is i(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 770922 and 1.\nAnswer: 770922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(11) + -2 + -1.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 5:22 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193*o = 171*o - 387 - 251 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(250)\/sqrt(5) + sqrt(2) - (0 + sqrt(2))*4)*2.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -257, -256, -255, -254, -253?\n\"Answer: k - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 49?  (a) -3\/7  (b) 1\/11  (c) -5  (d) 4  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from eeeyyeeeeyee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-9))\/(287\/(-1476)*2\/7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 5\/106  (c) 11  (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (936\/780)\/((-4)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**4 + 0*k**4 - 2*k**4)*(3 + 2 - 241*k + 246*k).\nAnswer: -5*k**5 - 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -62 + 61.7. Let w = -166 - -165.6. Which is the second smallest value?  (a) g  (b) w  (c) 3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9022 divided by 5?\nAnswer: -9022\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6998 is divided by 3467.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.360402 rounded to four decimal places?\nAnswer: -0.3604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 equal to -1595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 10693879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 99 divided by -4296\nAnswer: -33\/1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 481 divide 243867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 131 + -113. Suppose 5*u - r = -4*b, -3*u = 4*b + 5 - 19. Solve -2*x + b = a, 2*a + a + 5*x = 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 192 - 198. Let c be (42\/14)\/(z\/(-4)) - -2. Solve 2*y - 21 = 5*n - 0*n, -3 = c*y + 5*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o**3 + 53*o**2 + 39*o + 62. Calculate d(-17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 726533724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/2 - (8 - (-2008)\/(-208)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c + 5*c = 2*x + 12, 29 = -2*c - 5*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -8*f - 5. Let x(k) = -14*k**2 - 11*k + 11. Let p(c) = 5*c**2 + 4*c - 4. Let o(w) = 11*p(w) + 4*x(w). Calculate o(j(l)).\nAnswer: -64*l**2 - 80*l - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-3)*45201\/4761172.\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104475 smaller than 104462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 1:15 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -250.1776251 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11947*d**6 + 12563*d**2 wrt d?\nAnswer: 1433640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - b + 2789 = 6*v, 0 = -4*v + 2*b + 2786. Let i = -26 + v. What are the prime factors of i?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 8:23 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2166*n**2 + 4317*n - 11. What is k(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**4 + 2958*r**3 - 598497*r**2 - 601458*r = 0 for r.\nAnswer: -1, 0, 286, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -b596 (base 12) in base 14?\nAnswer: -7334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3825490.\nAnswer: 2, 5, 382549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -144, -885, -2218, -4149, -6684, -9829, -13590, -17973?\n\"Answer: -y**3 - 290*y**2 + 136*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 228*o + 94351. Determine h(-414).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 488\/(-16) - (-2)\/(-4). Let t = 51 + n. What is the least common multiple of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/10 - 244\/(-10). Let o be (-10)\/x*15\/(-6). Let w be 6\/(-18)*(-10 - 3\/(-3)). Is o greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (494 + 77 - 46)*(2*k - 2 + 2)*(5 + 0 - 1) to i + t*k and give t.\nAnswer: 4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 113 = -145 + 218 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of 0*d**4 + 0 - 1\/6*d**3 + 0*d**5 + 17*d**2 + 1\/24*d**6 + 0*d. Determine o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**17)**(-3\/5))**(-3\/11) assuming o is positive.\nAnswer: o**(-27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 3) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 - -25. Let r be 4\/5*(x - 3). What is the closest to r in 4\/3, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -93, -83, -77, -81, -101?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1*sqrt(1539)*3 + (-4*-1*sqrt(171))\/sqrt(9)))**2.\nAnswer: 164331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 7*f**2 - 6*f + 4. Let x be i(6). Let d(n) = n**3 - 4*n**2 - 13*n - 14. Let w be d(7). Let g = 43 - w. Solve -b + g = x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/15*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 747800 to the nearest 10000.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 117684092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 6:23 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -312992 by -1.\nAnswer: 312992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -52 + 56. Suppose -3*n = 2*f - 18, 32 = 2*n + 3*n + k*f. What is the third derivative of -20*x**2 - 190*x**4 + 360*x**n - 187*x**4 wrt x?\nAnswer: -408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(5) + sqrt(30)\/sqrt(6) + sqrt(5) - ((sqrt(5) - sqrt(20)) + -2)) + (-5 + (-1*sqrt(5) + 0)**2)*-4.\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-150*z - 59*z - 117*z)*((-4 + 2 + 3)*(-1 - 2 + 5) + 3 - 2 + 0).\nAnswer: -978*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/2043 and 133\/54.\nAnswer: 12258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + 7*h**2 - 3*h - 5. Let v be c(5). Suppose 3*s = 10*s - 35. Suppose -v = -s*j + 3*j. Solve j = 3*l + 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bgn when three letters picked without replacement from {e: 9, b: 1, n: 2, g: 1, c: 1, v: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 635 + -8517?\nAnswer: -7772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13269 in 1290, -3, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -x + 6*x**5 + x - 2*x**2 + 0*x wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from jjnnnnnnjjjnnjnnnjn.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44 - -74. Suppose t - 7*t + z = 0. Suppose 0 = 4*q + q + t*r + 41000020, 0 = -4*q - 2*r - 32800008. What is q rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 881, -2, 1, 2.\nAnswer: -2, 1, 2, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -102*i + 1092. Give l(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 124278437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 842 - 6*l - 1693 - 16*l - l**3 + 40*l**2 - 19*l**2 + 858. Give d(20).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.7 + 151.\nAnswer: 146.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286 = 7*b + 27. Let c(h) be the first derivative of 0*h + b - 4*h - 7 + 3*h. Let u(o) = o - 2. Calculate 2*c(k) - u(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 237*s**2 + 193*s + 45728. Give m(-237).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12973704 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 30577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 363630 and 414.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 + 14. Suppose c*i + 2 + 37 = 0. Suppose -4*d - 42 = -d. Is d greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -18496284, -36992575, -55488866?\n\"Answer: -18496291*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 5*n + 16 = 0, -7*n + 3*n + 2 = -2*z. Suppose -l - 84 = -4*t, -z*l = 3*t + 13 - 91. Calculate the smallest common multiple of t and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + b + b**2)*(1 - 1 - b) + 19*b + 18*b - 86*b + 24*b + 25*b - 2198*b**3.\nAnswer: -2199*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 4*p - 4*x, 5*p - 5709*x + 19 = -5707*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z and 1 n when four letters picked without replacement from nznznnnznz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001529 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 652054 is divided by 394.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 103*b. Let z(x) = 3*x. What is z(n(m))?\nAnswer: 309*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23.37 + -23.43. Sort u, -3, 2\/37 in decreasing order.\nAnswer: 2\/37, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83\/(34860\/240)*(3\/234)\/((-14)\/(-21))?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 + 22*j**2 - 22*j + 27. Suppose 15565*o - 138 = 15571*o. What is c(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1157390946, -1157390945, -1157390944, -1157390943, -1157390942, -1157390941?\n\"Answer: j - 1157390947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 341603.\nAnswer: 341603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 309155771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that c**2\/2 + 5962817*c\/2 - 2981409 = 0.\nAnswer: -5962818, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 s when four letters picked without replacement from {p: 6, x: 2, s: 1, w: 1, g: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -25, 58, 293, 758, 1531?\n\"Answer: 13*f**3 - 2*f**2 - 2*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -6. Suppose -2*j - 5 = -b, 1 = -f*j - j - 5*b. Let k = -2 + 1. Sort j, -4, k in increasing order.\nAnswer: -4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100022 - 2102101?\nAnswer: -2002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 419990753.\nAnswer: 7, 13, 4615283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1515, 3028, 4539, 6048, 7555, 9060?\nAnswer: 10563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a + 2*a + a + (4 + 2 - 5)*(3 - a - 3) + 2 - 3*a - 2 + 37*a + 47*a - 27*a + (-a + 3*a + a)*(-1 - 1 + 3) - a + 0*a - a.\nAnswer: 55*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 4298 = 3*f, -16*f = 2*v - 18*f - 2142. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 5271.\nAnswer: 5271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 2*d - 1. Let m be p(-3). Let y be 2 - 2\/(-22)*-56. Let l = 169\/44 + y. Which is the nearest to 1?  (a) 3  (b) m  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(20) - sqrt(720)))\/(sqrt(1210)*-2 + sqrt(10)).\nAnswer: -20*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 495161221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 20 + 136362?\nAnswer: 136412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qtle when four letters picked without replacement from {z: 1, e: 3, t: 4, l: 1, q: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 24307 = -3*l + 27861, l + 4*n = 17400. Suppose -88817 = -4*s - 5*a - l, -3*s - a + 53566 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -46  (b) -3  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2100011 - -0.21. What is o rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 0. Let s be 0 + 1\/((-1)\/(-7)). Let v = s + -11. Which is the biggest value?  (a) d  (b) 4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**2\/7 - 3890860*t\/7 - 1892348942450\/7 = 0. Calculate t.\nAnswer: -972715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 7\/6  (b) 386  (c) 519  (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45162 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*l + 48*l + 38*l + (-44 + 109 - 8)*(3*l + l - 2*l) in the form g*l + a and give g.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*(-28)\/(-175) + 19\/(-5). Sort 5, a, -14 in descending order.\nAnswer: 5, a, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.1, 0.2, 17\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 150152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(0 + 2 + 0). Let z be (p - -1)*(2 + -1). Suppose -5*s + z = -4*r, -3*s = 4*r - r - 6. What is the nearest to s in 1, 0.2, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1048\/(-786) + (-545)\/(-15).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11228*q + 5603*q - 2730 = -5660*q for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 92347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 20.8 times -5\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 747, 5083, 16569, 38757, 75199, 129447, 205053, 305569?\nAnswer: 434547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6153\/(-9)*(1 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/3?  (a) -1  (b) 1\/5  (c) -3  (d) 34  (e) -0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7008 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8767*a**2*p**3 + 1287*a**2 + 33622196*p**3 wrt a.\nAnswer: -17534*a*p**3 + 2574*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 3 = 0, -o = -2*n - 4*o + 13. Suppose 5*w + 6 = -n*u - 39, -u = -4*w - 16. Let t = w - 2. Let y(q) = q + 3. Determine y(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17c5 (base 16) to base 13.\nAnswer: 2a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 116684*x - 1402178?\nAnswer: 116684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -6*u**2 - 5*u + 3*u**2 + 5*u. Let t(o) = 5*o**2. Calculate t(n(c)).\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -14662.\nAnswer: -3\/14662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10*(-7)\/(-28) - 3\/(-2). Let k(l) = l - 3. Let b be k(5). Is b smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/60491456 and -53\/24.\nAnswer: 181474368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7802 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q - 3*q + 0*q)*(7*q - 8*q + 13*q + (0*q + 0*q - 2*q)*(-1 - 1 + 0) - q + 2*q + 0*q) - 1495*q - 24*q**2 + 1495*q.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**26\/(p*p**(-24)))**(-39) assuming p is positive.\nAnswer: p**(-1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 f when four letters picked without replacement from zfbfjzjbzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vjjj when four letters picked without replacement from jjjvjzzzvjjvzjvj?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 10 = -0. Suppose q + 4*q = o. Let h = 3 + 1. Which is the second biggest value?  (a) q  (b) h  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) + -1*sqrt(931) + 2)*3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 561919439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3635 = -3*v + 2*v, 0 = g + 2*v - 1825. What is the highest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 442 is divided by 22\/4 - (-6)\/((-384)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of 19*k**3\/3 - 263*k**2 + 259*k + 2. Give p(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -39433, -39427, -39419, -39409?\n\"Answer: o**2 + 3*o - 39437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2381608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 + 7*d**2 - 10*d - 7. Let m be b(-8). Does 9 divide 2\/(-9) - (-155)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47344 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**2)**(-1\/4))**(-21) assuming j is positive.\nAnswer: j**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 502 + -229. Suppose j*p = 278*p - 2465. Is 29 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8259, -5, -14, 3.\nAnswer: -8259, -14, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 526 and 20?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10191 and 10836?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000579 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, -36.7, 5, 0, -0.2?\nAnswer: -36.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 65*(-66)\/275 + 8 + (6 - -2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of -y**6\/360 - y**4\/12 + 3*y. Let r(f) be the third derivative of t(f). Let c(o) = -o**2. Determine c(r(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3572.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45 + -43. Suppose 3*a - l*z = 5*a - 122, -3*a + 3*z + 207 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 3*p**3 + 2*p**2 - 1. Determine z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express f**3 - 4*f**2 + 3*f**2 + 2*f + 6 - 4*f + 4*f in the form y*f**3 + s*f + i + o*f**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 2*s**2 - 2*s + 22. Let d(b) = 2*b**3 - 5*b**2 + 5*b - 46. Give -2*d(r) - 5*h(r).\nAnswer: r**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9*6\/(-378))\/(1\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of n**3 - n**2\/2 - 2*n - 5. Let r be z(-2). Suppose -85 = -17*s + 323. Calculate the highest common factor of r and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2034 + -2030. Solve -5*w = -i*w + 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -337*0.0003\nAnswer: -0.1011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 2*l = 5*u + 199, -2*l + 2*u + 178 = 0. Let k(y) = -21*y**2 + 3*y - 1. Let x be k(2). Let m = x + l. Let b(d) = d**2 - 2*d - 3. Give b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 69800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.4531583 meters?\nAnswer: 0.0004531583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -2 + 1 + -79 + 82.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*x - 4504 + 1204 = -221*x - 119*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17105853 and 33?\nAnswer: 188164383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -288 * 17\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*t - 109*t + 49966. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 378, 5 in increasing order.\nAnswer: -4, -2, 5, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 518 - 516. Let u(o) be the second derivative of 0*o**f + 1\/12*o**4 + 0 - 1\/3*o**3 + 4*o. What is j in u(j) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*q - 512 = 4*i, 3*i = 2310*q - 2312*q + i - i - 42 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02696 - 924.\nAnswer: -923.97304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 times -18336804?\nAnswer: 183368040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 115 - 110. Which is smaller: -12 or n?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a. Let l(q) = 9*q**2 - 3. Let h(n) = -26*n**2 + 8. Let f(i) = -3*h(i) - 8*l(i). Calculate o(f(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.35 - 0.35. Which is the closest to 1?  (a) v  (b) -4  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*c**4 - 315*c + 2*c**2 - 12*c**2 - 53*c**4 + 24*c**2 wrt c?\nAnswer: -840*c**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2, 0 = -i - i + 2*r + 8. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*a**3*v + 206*a**2*v**3 - 280*a*v**3 + 3*a + 2*v**3 wrt a.\nAnswer: 48*a*v + 412*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 501484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.054, -43, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -2 + 1 + -12 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 6 - -49) + 10 + (-6 - 12 - -12).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1847663, -3695339, -5543013, -7390685, -9238355, -11086023?\nAnswer: -12933689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.70858 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1143.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/6)\/((-21)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 7*l**2 - 68*l + 116. Is 10 a factor of d(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 10*r**2 - 8*r + 13. Let w be v(-9). Solve 2*m + 0 = w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or -156.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of 14*r**2 + 0*r + 0 + 4*r**3 + 1\/20*r**5 + 3\/4*r**4. Let y(d) = 0. What is d?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1155 and 1155?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -1. Let r(p) = p + 2. Let m(i) = 3*r(i) + 6*w(i). Let q be m(1). Solve q*z - a = 2 + 6, 0 = z - 4*a - 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*((-1*sqrt(832) + -1)*-4 + 5) + 4)*3)**2.\nAnswer: 53568*sqrt(13) + 1086921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (110 - 440 + 106 + 114 + 110 + 32019*v)*(-4*v + 3*v + 4*v).\nAnswer: 96057*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z + z**4 - 4*z)*(-3 + 3 + 2*z) - 5*z**5 + 3*z**5 + 4*z**5 + 2*z**2 - z**5 - 2*z**2 + z**5 + 1274*z - z**3 - 89*z**3 - 1273*z.\nAnswer: 4*z**5 - 90*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2 and 296571315.6546.\nAnswer: 296571317.6546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1191 smaller than 985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/6 - (-2)\/(-4)*-73. Suppose -t - 3*o = -6*o - 15, 0 = -3*t + 5*o + a. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 + 0*c**2 - 4*c**2)*(2*c + 15*c - 6*c)*(-3*c + 5*c - c).\nAnswer: -44*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50305\/8 + 6280. Let a = 37\/12 - -1\/12. Find the common denominator of l and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f. Let r(z) = -206*z - 1. Give r(h(k)).\nAnswer: -412*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 61*l**2 + 5542*l - 504. Give y(-91).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o + 8. Let f be l(-6). Suppose -f*j + 4 = -4*k - 0*k, -4*j + 3*k + 23 = 0. Let h = -6 + j. Solve 4*c + h = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(4235) + sqrt(4235) - sqrt(4235))\/(sqrt(847) - sqrt(847)*3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -0.2, 23, -0.3, 203, 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 3:24 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (19 - (-1 + -1))*-1. Let x(b) = -3*b**2 + b - 12. Let i be x(4). Let n = i + u. What is n rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3481.983 nanometers?\nAnswer: 3.481983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 6*k**2 + 21*k + 85. Calculate the remainder when 34 is divided by m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/4 and 32\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i**2 + i**2 + 394*i**3 + 22171351428*i - 22171351426*i.\nAnswer: 394*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38.78684 minutes to seconds.\nAnswer: 2327.2104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 12 = -4*v. Solve 0 = -r + 2 - v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 987 - 976.22. Let z = -0.22 - n. Which is the third biggest value?  (a) 1\/7  (b) z  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 4 + sqrt(117) + -3.\nAnswer: -2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2171 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 7:30 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + (84 - (-3 + 37))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.123 - -3.123. Suppose -3*w = -0*w - 2*l - 6, 4*w = 3*l + 9. What is the second biggest value in 218, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 849 + 15. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 777 a factor of 53851539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 12*j**2. Let z(l) = 138111 + l - 138111. Determine z(p(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 108330469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 717 - 718. Let l(a) be the first derivative of 35*a**3\/3 - a**2\/2 - a - 1. Is 7 a factor of l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1768868 + 2*v**2 + 404160 + 777652.\nAnswer: 2*v**2 + 2950680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 3. Let u be 3*4\/(-16) + 290\/280. Sort u, 4, r, 5 in decreasing order.\nAnswer: 5, 4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -393 - -392.5. Let b = 41\/2 - 22. Let f = 0.1 + 0. What is the biggest value in f, b, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30*8\/8)\/(2\/(-12)). Calculate the highest common divisor of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2. Let v(q) = -24*q - 8. Let i(t) = -t + 1. Let h(p) = 8*i(p) + v(p). What is h(y(r))?\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.01444976382 and -0.044?\nAnswer: 0.02955023618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246712121?\nAnswer: 61, 1223, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 53*l**2 - 55*l + 2. Let j be v(1). Solve 4*t + 8 = j, 0*t + 4*t + 16 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.2 + -0.2. Which is the biggest value?  (a) m  (b) 0.4  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d - 15. Let u(i) = 14*i - 21. Let j(f) = -o(f) + u(f). Let m(q) = 12*q - 5. Calculate -6*j(t) + 7*m(t).\nAnswer: 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 320?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 1 = -62. Suppose 3*w - 3*f - q = 0, 5*w + 3*f - 8 = -f. Solve -2\/5*u**3 + 0*u + 1\/5*u**2 + 0 + 1\/5*u**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2*o + 3 - 4 = 0, -3*o = 5*p. Let v be (5 - p) + -2 + (3 - 0). Sort -2, v, 19, -4.\nAnswer: -4, -2, v, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/4)\/((-3)\/2). Let t be (4 + -4)\/(2\/(-2))*1. Is l smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 663 = -2*q, q + 2*q + 986 = 4*n. Let m = q - -525. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 25 = 9*u. Suppose 4*w = 3*x + 107, 3*w - w - u*x - 71 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -2, -0.3, -1\/9, 0.4, 1.1379, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -486849053 and -173.39.\nAnswer: -486849226.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -22. Calculate the remainder when 41 - (-4)\/(-8)*-2*5 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*a*t**2 - 77*a + 32*t**2 + t wrt a?\nAnswer: -4*t**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 688 and 57448.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/18)\/(4\/(-6)). Let l = -41.3 + -5.7. Let n = l - -51. What is the second biggest value in j, -1, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*(h**0*h)\/h))**(16\/5)\/(h**(-2\/7))**(-2\/5))**(-46) assuming h is positive.\nAnswer: h**(184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from didddiiidi.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 76 - 34. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*z + 39*z + 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.0296?  (a) 2\/11  (b) -1\/8  (c) 0  (d) -0.4  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7861, 31500, 70913, 126100, 197061, 283796, 386305?\nAnswer: 504588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-15)\/10)\/((-7)\/((-784)\/12) + 0). Which is bigger: k or -47?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(3*(-4)\/(-16)). Solve -b - 17 + 6 = -l*k, -2*b = -4*k + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 2*f - 20, 0 = v - 3*f + 193. Calculate the lowest common multiple of (-5)\/20 + v\/(-8) and (2\/(-5))\/((-1)\/15).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -56*h**2 + 89*h**2 + 70*h**2. Let f(t) = -30*t + 127*t - 63*t - 32*t. Give v(f(z)).\nAnswer: 412*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92656045?\nAnswer: 5, 113, 163993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.4 + -8.2. Let f = 11.9 + -11. Let u = -264.2 + 264. Which is the biggest value?  (a) v  (b) f  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 AM and 7:02 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b = -16*b - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87796.1ml to litres.\nAnswer: 87.7961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1161*p**4 - 4*p**2 + 6034?\nAnswer: 4644*p**3 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + 3*j**2 + 3*j - 2. Let t(l) be the first derivative of -l**4\/4 + 2*l**3\/3 + 3*l**2\/2 - 2*l + 43. What is 3*t(s) - 2*y(s)?\nAnswer: -s**3 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -65*b**2 + 16619 wrt b?\nAnswer: -130*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42 + 47. Suppose 0 = 5*j - 4*y - 5, -4*y = -3*j - m - 0. Solve 0 = j*f + 12 - 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.23, 0, -2\/75, 2, 1.19?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 0.99159\nAnswer: -3.99159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (120\/45)\/(4620\/(-2079))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 12*x**2 - 27*x + 1. Let z be r(3). What is the common denominator of -57\/35 and (z - (-294)\/(-40)) + 2?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c + 18. Calculate l(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -2*u**3 - 2*u**2 - 3*u - 1. Let n = -10 - -7. Let w be 5 - (n\/(-1) - 2). Let c(x) = -x**2 - x - 1. Calculate w*c(q) - j(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 7*z = -8. Let d be ((-60)\/z + 3)\/6. What is the smallest value in d, -0.1, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2682 or 5\/8?\nAnswer: 2682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -17488860*0.2\nAnswer: -3497772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 111463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 5 - 60231*u + 99*u**2 + 60231*u + 4.\nAnswer: 99*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 1 + (1290\/9 - 5\/15)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from zzjzi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -258 - -264. Let h(t) be the third derivative of 0 + 0*t - 54\/5*t**z - 6*t**2 - 18\/7*t**7 - 32\/3*t**3 - 56\/3*t**4 - 96\/5*t**5. Factor h(a).\nAnswer: -4*(3*a + 2)**3*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1245055129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**3\/2 + 501*s**2\/2 - 61479*s\/2 - 320045\/2 = 0. Calculate s.\nAnswer: -5, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -330749\/39 >= -8480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169242 is divided by 638.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(1944)*5*-3)\/((((sqrt(96) - (sqrt(96) - (sqrt(96) + sqrt(96)*2))) + sqrt(96) - sqrt(96))*-3)\/(sqrt(8) + sqrt(32)\/(3*sqrt(4)))).\nAnswer: 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dom when three letters picked without replacement from {r: 1, m: 4, d: 1, o: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-5)\/(-2))\/(-1)*-2. Let t(z) = z**2 + 1. Let m(g) = g**2 - g + 1. Let q(p) = -15*p**2 + 18*p - 12. Let c(d) = 18*m(d) + q(d). Calculate v*t(h) - c(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2781, 0.4, 0.2, -7, 4, -28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -12275.16 rounded to the nearest one hundred?\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 106 = 4*u, 23 = u - 0*u + 4*x. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -2*q + 9, 36*f + 11 = 35*f - 2*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 PM and 7:14 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8319960.\nAnswer: 2, 3, 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*a - 3. Suppose 0 = -5*p + 2*p. Suppose a*k = -p*k + 51. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 279\/(-6)*(-4)\/6. Suppose -3 = 2*j + 2*u - 33, b = 2*j + 3*u. Suppose -j = -q + 527. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5768604, -5768592, -5768558, -5768490, -5768376, -5768204, -5767962, -5767638?\nAnswer: -5767220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 9*x + 6 = 0. What is the remainder when (x - 0)*(-198 - -39) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1077561774 by 179593629.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -52*n**2 + 2*n - 2. Let q(r) = 4*r - 91. Let x be q(23). What is f(x)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 112*t**2 - 230*t + 228. Let y be v(1). What is the greatest common divisor of y and 858?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 462081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - m - 26 - 13 = 0, -m + 33 = b. Suppose b*a + 876 = 34*a. What is the units digit of (41\/123)\/((-2)\/a + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -183*t + 261*t**2 - 86*t**2 - 85*t**2 - 83*t**2 in the form v*t + u*t**2 + p and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 4*p + 20*p)*(-1 + 3 - 1 - 4 + 0 + 5 - 1 + 2 + 0 + (0 - 1 - 1)*(-3 + 2 + 0) - 3 + 2 - 1)*(-5 + 5 + 2)*(-6 + 4 + 3).\nAnswer: 96*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 + -114*(49568\/6)\/(-2). Round r to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.12 times 3\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -2*p + 413 - 460, 2*p + 5*y = 105 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.4, -39 in decreasing order.\nAnswer: 1, 0.4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2168 - 3346 = 31*f for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x + 4. Let i be m(-4). Suppose -11*d + 3*d + 16 = i. Let s(c) = 2 - 2 - 2*c**d. Let a(g) = -15*g. What is s(a(q))?\nAnswer: -450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2*k - 10 = -0*k, 10 = 3*w - 2*k. Let j(a) = -745*a + 8205. Let q be j(11). Sort w, -3, q in decreasing order.\nAnswer: q, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*4*sqrt(228)*-2*2)\/(sqrt(300)*3 + 3*sqrt(432)))**2.\nAnswer: 77824\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w - 4 = 96. Calculate the greatest common factor of 2230 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -38*v**3 - 8*v**2 + 7*v - 3. Let g(y) = y**3 + 2*y**2 - y + 1. What is -4*g(q) - h(q)?\nAnswer: 34*q**3 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2889 - -4149. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 324 + -435. Let u = -110.6 - y. Which is the fourth smallest value?  (a) u  (b) 1\/5  (c) 3\/2  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1267 - 2558 + 644 + h + 647.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 259756, 519493, 779230, 1038967, 1298704, 1558441?\n\"Answer: 259737*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.84  (b) 1\/2  (c) -0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-487 + 1149*p + 246 + 241)*(-p + 3*p + 0 - 4)*(-6 + 3 + 4).\nAnswer: 2298*p**2 - 4596*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(20\/(-3))*390\/26.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**2 + 3*q - 2*q - q. Let r = -7 - -11. Let a(g) = -4*g + r*g**2 + 7*g - 3*g. What is l(a(y))?\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.4 and -266.\nAnswer: 372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -21590488 divided by -77944?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 + 5 + 17 - 4*g**2 - 13*g**2.\nAnswer: -17*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1502 + 2624. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, -4, 150, 2, 14 in increasing order.\nAnswer: -5, -4, -2, 2, 14, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/4*2\/(-9)*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-4 - 3) - (6 + -4 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*u - 2*u - 3*u)*(-3*u + 3*u + 8*u) + (2*u + 2*u + 2*u)*(3 + 2*u - 3) in the form q + r*u + k*u**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 6179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*i - 36 + 1 = 0, -2*f + 3*i = -6. Solve 0 = f*s - 11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -601 - -605. Which is the third biggest value?  (a) 0.4  (b) -0.5  (c) -11  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-1)*(-3795)\/8625?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 7:31 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.2, -5\/2, -1, -0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, 10, -4 in decreasing order.\nAnswer: 10, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 6  (b) -0.5  (c) 943  (d) 0.2678\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 134978.5 to the nearest one thousand.\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*g - 2*g + 7 - 2*g**2 + 0*g**2 wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1271)\/(-123) + (0 - 2\/6). Suppose -u + 4*n = 19, 6*n - 8*n + h = 0. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 + 2*a - 2. Let i(x) = -x. Let k(b) = 4*b**2 - b. Let p be k(-1). Let z(u) = -p - u + 6 + 6. Let o be z(6). Calculate o*s(q) + i(q).\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 13 = -3*f, -2*x + 8*f = 7*f - 1. Which is the nearest to -2?  (a) 1\/7  (b) -0.07  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 411626376 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {r: 4, c: 1, l: 2, k: 1, b: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - v + 31 = 3*s, -5*s + 84 = -4*v. Suppose -5*y + 476 = -109. Let n = y + -113. Solve -n = -4*j - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-1)*(-9)\/54*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - t + x = -11, -10 = -4*t + 2*x. Factor 2\/7*g + 0 - 2\/7*g**t.\nAnswer: -2*g*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 27*o**2 - 47*o - 36. Let a be d(13). Calculate the highest common divisor of 44 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3153243 (base 6) to base 15\nAnswer: 30db6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 2279.\nAnswer: 2\/2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-163537)\/(-30) - (-2)\/3. Let y = s + -5461. What is the common denominator of y and 46\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/(-4))\/((-10)\/(-4)). Are u and 1\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, 1.6 in decreasing order.\nAnswer: 1.6, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1*(-3 + sqrt(2299) + 1 - (1 + sqrt(2299) + 1 - sqrt(2299)) - (5*(sqrt(2299) + sqrt(2299)*-2) + -2))**2.\nAnswer: -82763 + 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 451 and 3198?\nAnswer: 35178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -8, 35, 78?\n\"Answer: 43*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17032 and 195868?\nAnswer: 391736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 195177137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 10*a**2 - 11*a + 8. Give o(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1129*o**2 + 460*o**2 - 853*o**2 - 1190*o**2 - 5.\nAnswer: -2712*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 10*q - 1551 = -0*k - 1555, -2*k - q = 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5*(-2 + sqrt(500) + sqrt(500))**2 - (-4 + (sqrt(405) - (sqrt(405) - (sqrt(405) + 0 + 2))))**2.\nAnswer: -10424 + 436*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 15 = 27. Suppose -y = -5*a + 17, -5*y - 3*a - 19 = -m*a. Put 0, 4, 34, y in ascending order.\nAnswer: y, 0, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*w = -22991 - 629651. What are the prime factors of w?\nAnswer: 2, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 - 12 = 4*c. Let z be 39\/12 + 2\/c. Suppose 0*t - 3*t + 235 = 4*a, -9 = z*t. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(0 + sqrt(162)) - sqrt(162)) + sqrt(288)*6 + 1)*-2.\nAnswer: -180*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*s + 10. Let v be 1*1\/(s\/(-2)). Let a = -3.6 - -4. What is the closest to v in a, -2\/19, 0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, z: 1, n: 2, g: 1}. Give prob of sequence mngn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6999774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*k**2 - 2*k**4 + k - 2*k - k**3 + 7*k**2 to z*k**3 + n + f*k**4 + m*k**2 + v*k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*p - 3930 - 1113 - 3111 = 104*p for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -194*n + 12. Let w be o(-3). Suppose -4*i = -i - w. Differentiate 20 + 2*z**2 - i*z + 198*z - z**2 with respect to z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/((-91)\/(-70)) + (-9 - (-11 - 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -0.6  (c) 5  (d) 52\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11418631789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -82 + 100. Suppose q*y - 13599 = 9*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -4. Let j be t\/(9\/3)*-6. Find the third derivative of k**2 - 3*k**6 + 0*k**2 + k**j wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3630 and 2640?\nAnswer: 29040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 978165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.6517 - -9.6517. Let l = -9 - -5. Put 2\/203, l, w in increasing order.\nAnswer: l, 2\/203, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seventy-seven fifths of a microgram?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**2 - 217 - 216 - 3*f**2 + 457.\nAnswer: -f**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -2*c - 18, -3*u - u + 9 = -5*c. Let q(n) = -3*n**2 - 4*n + 4. Let p be q(u). Let i be (124\/p - 0) + 4. Put 3, i, -5\/6 in descending order.\nAnswer: 3, i, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -43*h*u**2 + h - 4*u**2 + 42 wrt u.\nAnswer: -86*h*u - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*y - 5*y - 4. Let g(x) = 7*x**4 - 2*x**3 - 25*x**2 + 20*x - 4. Let i(z) = -z**2. Let k(c) = y*g(c) - 4*i(c). Factor k(d).\nAnswer: (d - 1)**2*(d + 2)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22351 (base 6) in base 4?\nAnswer: 301123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -16 + 10. Let u(w) = 25*w**2 + 269*w + 69. Let d(g) = 26*g**2 + 266*g + 70. Let i(c) = m*d(c) - 2*u(c). Factor i(z).\nAnswer: 4*(z + 9)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of -4*y**7\/35 + 4*y**4\/3 - 30*y**2. Find the second derivative of b(w) wrt w.\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3374 divide 59851386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006452 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56685 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-26)\/(-4) - (-1)\/(-2). Let z(r) be the first derivative of r**2\/2 + 7*r + 11. What is the remainder when 51 is divided by z(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, v: 2, j: 3, f: 1, x: 4}. Give prob of picking 1 v and 1 f.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-4\/3)*w)\/(w*w**(3\/7)))**12*(w**(-1)\/(w*(w*w**2\/w*w*w*w)\/w))**(-47) assuming w is positive.\nAnswer: w**(1826\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/8*-2*(0 - -2). Suppose -3*p = 2*u + 3, 2*p + 15 - 2 = -q*u. Let a be 2*3\/(-24) + p\/4. Solve -5*n = -a*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9288447 and 139503?\nAnswer: 845248677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + 1)*(-15)\/10*-44. Suppose 6*w = -5*w - g. Let i(h) = 6*h + 1. Let p(j) = 7*j + 1. What is w*i(q) + 5*p(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(441))\/((sqrt(75)*2 - sqrt(75)) + sqrt(3))*-2.\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 19, x: 1}. What is prob of picking 4 j?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.0921 millilitres to litres.\nAnswer: 0.0590921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.3 + -0.7. Let x = -4.6 + t. Let j = 2.5 - 3. What is the second biggest value in j, -0.4, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -583 - -588. Suppose -527 = -w + 5*s, 5*s + 0*s + 2715 = c*w. What are the prime factors of w?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n - 1. Let c(t) = -5*t**2 - 5*t - 5. Let v(r) = c(r) - 5*g(r). Let y(u) be the second derivative of -u**3\/3 - u. Determine y(v(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yhhhhhhyhvhvhh. What is prob of sequence yy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2760 times -0.13?\nAnswer: -358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 9 = -1. Let p(n) = -n + 6. Let x be p(b). Suppose -v + x = -1. Solve v*f - 5*s + 20 = -3*f, 0 = -3*s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1438675782, 2877351562, 4316027342?\n\"Answer: 1438675780*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 19 - 34\/((-680)\/300). Suppose -3*q = -3*p + 120, -5*p - 2*q = -0*p - 179. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 110 + -70. What is the remainder when 199 is divided by x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o**2 + 448*o + 15845. Calculate i(-180).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 3*b - 32, -19 - 13 = -4*c - 2*b. Let p be 2\/(-4) + 36\/c. What is the biggest value in 10, 3, p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 357411*8.8.\nAnswer: 3145216.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23 and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -469*c - 1746. Determine g(-4).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -8*u**3\/9 - 3754*u**2\/3 - 30820*u\/9 + 14050 = 0.\nAnswer: -1405, -5, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -132 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15077044*b - 20191490 wrt b?\nAnswer: -15077044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of -1\/9*h**3 - 1\/3*h**2 - 3 + 1\/9*h**4 + 2*h. Let f(c) be the first derivative of y(c). Factor f(l).\nAnswer: 2*(l - 1)*(2*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2 - 2)*(z**2 + 0 + 0) + (0*z**2 + 0*z**2 - 2*z**2)*(2 - 1 - 4) to the form y*z**2 + g*z + o and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 1:12 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 457, 775, 1087, 1393, 1693?\n\"Answer: -3*r**2 + 327*r + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/(3\/(-41 - -5)). Let l be 6\/(-10) - g\/60. Is 24 a factor of (99 - 9\/l)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4570  (b) -2  (c) -51  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 2. Let s(w) = -w + 1. Let y(o) be the third derivative of -o**4\/12 - o**3\/6 + 303*o**2 + 2*o. What is k*y(u) - s(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 211280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 + 15 = 2*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.36, 1, 4, 2\/7, 2.95, -5 in increasing order.\nAnswer: -5, 2\/7, 0.36, 1, 2.95, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-5))**(-1\/3)*(z\/(z\/(z\/(z*z*z*z*z*z**0*z*z*z))))\/(z**1*z) assuming z is positive.\nAnswer: z**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -21568*f**2 - 38864 wrt f?\nAnswer: -43136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46548?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*f**3*m + 4*f**3 + 1998*f**2*m + 871716*f**2 - 402*f*m - 2 with respect to m.\nAnswer: 21*f**3 + 1998*f**2 - 402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c**2 + 1802*c + 270562. Give t(-301).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(1\/17)\/l*l**(1\/2)\/l)**(-8\/3)\/(l**(-1\/5)*l*l**(-3)*l*l**6\/l*l*l\/(l*l**6)) assuming l is positive.\nAnswer: l**(-74\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/156 - (-9)\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3493862?\nAnswer: 2, 29, 59, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15011 (base 6) in base 7?\nAnswer: 6643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1074.8959337 rounded to one dp?\nAnswer: -1074.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5435, -5439, -5445, -5453?\nAnswer: -5463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4*d + 1867. Is 23 a factor of i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 12, p: 2, r: 2, z: 1, k: 3}. Give prob of picking 1 z and 2 a.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2382 to three decimal places.\nAnswer: 0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-3 + sqrt(272))*-2*2 + (1 + sqrt(272) + 4 - -1*sqrt(272)*4))**2.\nAnswer: 152*sqrt(17) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 6:11 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence toot when four letters picked without replacement from tooootoooooo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 + 72 = 7*d. Suppose -d*u + 10 = -16. Solve -6 = -c - u*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4815819858?\nAnswer: 2, 3, 83, 9670321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21516498*u**2 + 39773019*u wrt u.\nAnswer: -43032996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01632071326 to five decimal places.\nAnswer: -0.01632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -0.0819, 0.3 in ascending order.\nAnswer: -2\/5, -0.0819, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 376789.\nAnswer: 7, 19, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -282*g**4 + 2*g**3 + 20*g + 16?\nAnswer: -3384*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -20.7, -4, -5, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i**2 - 19*i - 8. Suppose 119 + 56 = 7*m. List the prime factors of l(m).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 16068 from -17.1.\nAnswer: -16085.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13409)\/253 - (3 + -1 + -16).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 35 and 9506490?\nAnswer: 9506490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 62166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*(-4)\/((-48)\/116). Let f = 34 - k. Suppose 0 = 4*g + 2*v - 4*v + 10, -g + 5*v + 2 = 0. Sort f, 2, g in descending order.\nAnswer: f, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 147858 and 1539.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -100 + 97. Let v be -5 + -3 + ((-72)\/q)\/3. Is v != -2\/869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3301 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*((j\/(j*j**0*j*j))\/j)\/j)**(-16)\/(j\/j**(-2\/3)*j\/((j*j**(-2\/29))\/j))*(j*(j\/(j*j**(1\/16))*j*j)\/j)\/(j\/(j**(1\/6)*j))*(j**(-1))**45 assuming j is positive.\nAnswer: j**(1099\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 200 divide 37800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -142 - -144. What is the second derivative of -19*d**2 + 46*d**4 - 70*d - 48*d**4 + 55*d**j wrt d?\nAnswer: -24*d**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66\/3 + 3 + (-72697)\/2919\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -72 - -81. Suppose -17*w = -20*w + h. Does 24 divide 63 + -8 - 9\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 41155531 * -0.01.\nAnswer: -411555.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 42  (b) -51\/7  (c) 0  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 5*l - 35. Let w = 40 + -24. Let j be o(w). Calculate the greatest common factor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -13530*n. Let o(w) = -5*w. Give -5740*o(v) + 2*q(v).\nAnswer: 1640*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 32 + 20. Let w(j) = -46*j**2 + 13*j**2 - 45 + n*j**2 + 19*j**2. What is w(0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 9, e: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5237146 decades in years?\nAnswer: 5.237146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -207335 - -921798. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 13, -0.2, -4\/9, -2\/25, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 - 58 = -5*m. Let j = m - 24. Suppose 0 = -5*o + 3 + 22, 3*f - j*o - 47 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -368074, -1472299, -3312676, -5889205, -9201886, -13250719?\n\"Answer: -368076*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1939.3 less than -26638?\nAnswer: -24698.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-25)\/l**(-14)*l**(2\/13)*l\/(l*l\/l**(-37)) assuming l is positive.\nAnswer: l**(-635\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -8*w + 47. Let p(n) = 14*n - 118. Calculate h(p(s)).\nAnswer: -112*s + 991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4223 (base 6) to base 14.\nAnswer: -4bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 98823, 98817, 98807, 98793, 98775?\nAnswer: 98753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in 2\/5, 6, -2, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (22 - (-11564)\/98 - 95) + 3\/((-6)\/(-32))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10303 + 10302.8. What is the nearest to 0 in 4\/5, s, 0.83, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 863 is divided by 422?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 5 = 4*n - y, -5*y - 35 = -4*n. Suppose 3*l = n + 4. Suppose 32 + 53 = 3*t - 4*r, 77 = l*t + 4*r. Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 0*c**4 + 0*c**2 - 11\/5*c**5 + 4*c + 0*c**3 + 6. Differentiate m(u) wrt u.\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 1 - 6 = 0. Solve 3*n + 11 + o = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5*1\/1)\/(-1). Suppose c - 3*c = 2*v + 2, 2*v + 16 = t*c. Suppose -3*g - c*g = -155. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 62\/130011 and 11\/13440.\nAnswer: 83207040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.192 - -3.392. Put -5, n, 74 in ascending order.\nAnswer: -5, n, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 85*p + 7228. What is the hundreds digit of r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1088 - 1088 + 4*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -5*v**3 + 32*v**2 - 11*v + 41. Let b(f) = -12*f**3 + 63*f**2 - 21*f + 83. Let s(p) = -2*b(p) + 5*o(p). Is s(27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1935 divided by 3?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of a**3\/2 - a**2 + 2*a. Let x(l) = -l**2 + 5*l + 16. Let k be x(7). Calculate v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2 - 12*d**3 - 3 + 8*d - 9*d**2 + 25*d**3 - 7*d**2. Let t(l) = -20*l**3 + 24*l**2 - 12*l + 8. Let o(z) = -8*c(z) - 5*t(z). Factor o(a).\nAnswer: -4*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11\/5 in -2, -1, -289058?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -3. What is the third biggest value in 4, -0.07, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 280*n**2 + 3*n + 567. Let o(q) = 280*q**2 + 2*q + 559. Let h(j) = -3*o(j) + 2*u(j). Find the first derivative of h(f) wrt f.\nAnswer: -560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 602468.\nAnswer: 2, 150617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1692994 is divided by 145.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of u**4\/2 + u**3 + 11*u**2\/2 + 4*u. Let d(n) = -n**3 + 3*n**2 + 4*n - 5. Let q be d(4). Is w(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -63 + 70 + -1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -43 - -43.5. Which is the nearest to -0.9?  (a) -5  (b) t  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*m - 3*t, -5*t + 45 = 5*m + 10. Suppose 5*d + 5*i = -5, -i + 15 = 5*d - 0. Find the first derivative of -3 + m - 3 + d*l + 2 wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 35*g - 40*g - 46, -3*z + 5*g = -56. Factor -8\/5*l**2 + 0 + z*l - 2\/5*l**3.\nAnswer: -2*l*(l - 1)*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vrwvxwll. What is prob of sequence vl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9225727 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) 4  (c) 6  (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 11. Suppose 4*u - 8 = -d + k, -4*d - 11 = -u. Let j be 0 - (-13)\/11 - 1. Which is the smallest value?  (a) u  (b) -3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 217 divided by -417669\nAnswer: -31\/59667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2*p = -5*g + 445, -5*p + 441 = 3*g. Let y = -882 + 904. What is the remainder when p is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -6*o**4\/5 + 2*o**3\/5 + 16*o**2\/5 + 8*o\/5 = 0.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -4*q - 13, 0 = -5*l + q - 4*q + 3. Suppose -l*a - 698 = 1162. What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-66))\/(41\/((-123)\/4))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4)*k*k\/(k*k\/k**(-5\/4)*k*k)*(k*k*k\/k**(2\/3))\/(k\/(k**4\/k)*k))**(7\/4) assuming k is positive.\nAnswer: k**(-329\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*d = -23*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -100011110100111111 (base 2) in base 16?\nAnswer: -23d3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102120 - -2?\nAnswer: -102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2760  (b) 14  (c) -13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {k: 1, o: 1, q: 2, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-80))\/(2\/(-16)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 304*r**2 + r + 6. What is the remainder when l(-1) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -22  (b) 1  (c) 0.4  (d) 10  (e) 0.8  (f) 0.37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/1922 and -10.\nAnswer: 1922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61\/3 + -20. Let n = -154\/5 + 30. Put n, q, -4\/3 in increasing order.\nAnswer: -4\/3, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 48*v + 221. Calculate m(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in 0.09, -5, 0.012?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 34583\/2 - 17270. Let l = 128 + -194. Find the common denominator of c and (-23)\/l*3\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-1 + (-3)\/1). Let q(f) = -10*f - 2. Is q(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 w when three letters picked without replacement from rhyyhyyhdwyryhhyhyiy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -1, 4, 3 in ascending order.\nAnswer: -7, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = j - 18295, 2*k - 42715 = -2*j - 6089. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*k - 5*c, -4*k + 16 + 8 = 5*c. Suppose 4*b - k = s + 1, -5*b = -5*s + 20. Solve 0 = -s*o + o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7135 less than or equal to -7135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 18*i**3 - 5*i**2 + 5*i + 24. Let f(m) = 12 + 0*m + 9*m**3 + 4*m - m - 3*m**2. Let u(k) = -5*f(k) + 3*l(k). Differentiate u(n) with respect to n.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 2*q + 2, -t - 5*q = -0*q + 5. Factor t*f + 2\/11*f**3 + 2\/11*f**4 - 2\/11*f**5 + 0 - 2\/11*f**2.\nAnswer: -2*f**2*(f - 1)**2*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51756323111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17543717, 35087422, 52631127, 70174832?\nAnswer: 87718537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 186?  (a) -3\/5  (b) -0.5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-6)*(-105)\/14)\/(55\/22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1657*w + 2*w**3 + 4*w**3 + 4913*w - 1659*w - 1597*w.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 105 - 106. Which is the second biggest value?  (a) 2\/29  (b) p  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-64)*-8*8\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23686 is divided by 7891.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 0. Suppose 2*n - 2 - 20 = 0. Let c = 7 + -4. Solve 4*i - 7 = -x*j + n, 0 = -c*i + 4*j - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -612 - -1032. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*q**2 + 243*q**2 - 84*q**2 - 76*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of 0*w**2 + 0*w**3 - 2*w + 0 + 1\/12*w**4. Let i(l) = 5*l**2. Calculate i(v(z)).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 630 and 45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 356, 665, 974?\nAnswer: 1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4108439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 3*p**2 + 8346*p - 8361. Let j(t) = -3*t**2 - 8352*t + 8369. Let l(x) = 6*j(x) + 7*w(x). Factor l(y).\nAnswer: 3*(y - 1)*(y + 2771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 + -27. Solve -2*q - 2*a + 4*a + 2 = f, -q - 5 = -4*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 456432 and 456432?\nAnswer: 456432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 + 2*t**2 - 6)*(-12*t + 0 - 1 - 13 + 2) as y*t**3 + h*t**2 + w*t + s and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 233*v**3 - v**2 - 10*v**2 - 234*v**3.\nAnswer: -v**3 - 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of v**7\/280 - 7*v**5\/20 + 16*v**2. Let k(c) be the third derivative of i(c). Let m(j) = j**2. Calculate m(k(g)).\nAnswer: 324*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 952 and 5184.\nAnswer: 616896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 + 5*a + 5. Let i be g(5). Factor -3*f**4 - 2 - 6*f**2 - 2 + 0*f**4 + i - 8*f**3.\nAnswer: -(f + 1)**3*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/2090 and -41\/1254.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172080406.\nAnswer: 2, 3943, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+303122322049\nAnswer: 303122322048.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22517 + -2432. Does 39 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 + 17*n + 12. Let l be f(-8). Suppose 4*p + 73 = -3*g + l*g, g = 2*p + 65. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 336*u - 588. Let x(r) = -r + 4. Let t(w) = i(w) + 147*x(w). Let j(o) = o**2. Determine t(j(s)).\nAnswer: 189*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/624 and 13\/384.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6453 is divided by 1686.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -h**3\/3 - 2*h**2 - 4*h - 9. Let d be n(-2). Suppose d = -4*a - 0*a + 20. Sort a, 1, 0 in descending order.\nAnswer: a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*c - 57*c - 180*c**3 + 219*c - 73*c.\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*x + 1717 - 1486 = 0. Let k(n) be the third derivative of 0*n - 6*n**2 + 0 + 1\/6*n**x + 1\/60*n**5 - 5\/24*n**4. Calculate k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1095 < -1095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 257 + -258. Let b(t) = t**3 + t**2. Let s(z) = -2*z**3 - z**2 - 16*z - 78. Let i(j) = f*b(j) - s(j). What is the derivative of i(u) wrt u?\nAnswer: 3*u**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 4*a - 17 = 4, j = a. Solve 0 = -2*n - j*q, -4*q = -5*n - 2*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/332 and 45\/13031.\nAnswer: 52124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 34 - y + 1 - 3*y + 11*y**2 - 2*y**3 + 3*y**3 + 43. Let x be c(-12). Is x at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (3 + sqrt(539) + 4)**2 - ((sqrt(11) + 2*-1*sqrt(11) + sqrt(11))*3 + 2).\nAnswer: 98*sqrt(11) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3681202*h**3 + 3*h + 3681198*h**3 - 3*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + ((2 + sqrt(1700))*-6 + sqrt(1700) - (sqrt(1700) + -2 + sqrt(1700) + -2)))*6*-2)**2.\nAnswer: 221760*sqrt(17) + 12012624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.0417 * 13.40665\nAnswer: 0.559057305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1394738 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -143, -1117, -3757, -8897, -17371?\n\"Answer: -139*s**3 + s**2 - 4*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -3 - 0 - -1 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20969 is divided by 221?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 d, and 2 m when four letters picked without replacement from {u: 2, d: 10, m: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 - 194*44\/(-2208). Let r = 5\/23 + k. What is the common denominator of 95\/8 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1562 + 1504 - (1 + -79).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 - 8*n - 10. Let i be v(-5). Suppose -4*g - 3*r + 28 = -4*r, i*r - 14 = -2*g. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-224)\/(-16) - (-6 - -5)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 1. Let p be 9 + (-1 - -2)*-2. Let 7*n**z + n**3 - n**5 - p*n**4 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -976*v - 5786*v = 1242*v + 504*v + 1233660 for v.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116366 is divided by 462.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.054 or -1\/5?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 - 268283.\nAnswer: -268283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + -1 + (-10)\/(-2). Let i = 43 - m. Let u be (13\/(1 + -2))\/((-140)\/280). What is the highest common factor of u and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s. Let q(l) be the second derivative of -l**5\/4 - 15*l**2 + 17*l. Let w(f) be the first derivative of q(f). Determine j(w(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, c: 3, r: 13}. What is prob of sequence hc?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 514951185.\nAnswer: 3, 5, 7, 41, 119617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -22*((-15)\/6 - -4). What is the tens digit of (28\/6)\/((-2)\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 - 1)*(-1036*a + 142*a**2 + 1036*a + (-3*a + 2*a + 0*a)*(0*a - 3*a + a) - a**2 + 5*a**2 - 2*a**2).\nAnswer: -292*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.3, 3, -112, -2.\nAnswer: -112, -4, -2, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.7 - 0.3. Let i = -0.129 + 0.529. Which is the nearest to 2\/3?  (a) i  (b) y  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 852521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 15. Suppose -3*m = 2*r - 0*r - 13, 0 = -m + 4*r - 19. Let x be -1*(m + (-8)\/6). Which is the nearest to o?  (a) x  (b) 0.5  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19257\/(-4585)*(-5)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -36*j**3*u**3*x - 6*j**3*u**3 - 988*j**3*u**2 + 2*j*u**2*x wrt u.\nAnswer: -216*j**3*x - 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 7*n - 7 - 18*n + 2*n**3 - n**3 + 6*n**2. Does 11 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x**2. Let n(y) = 1. Let v(w) = 11*w**2 - 6. Let z(t) = -6*n(t) - v(t). Give u(z(d)).\nAnswer: 363*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 bigger than 235\/96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -2735923.9 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 268493.\nAnswer: 268493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, m: 5, u: 8, j: 3, x: 1}. Give prob of sequence jx.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 8*q + 1 - 5*q + 0 - 4*q + 0*q. What is v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13\/(-26)*24)\/4 + (-26)\/(-12).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**3 + 5*h**2 - 2*h - 35. Let r be o(-5). What is the greatest common factor of 40 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1079?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10514159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 255.62 * -1285\nAnswer: -328471.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 5*b + 66. Is 12 a factor of a(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -3*a**4\/4 - 231*a**3\/4 + 1209*a**2\/4 - 1713*a\/4 + 369\/2 = 0?\nAnswer: -82, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*w - 224 + 398 = -652 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -3 - 2 - (3 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 42\/59 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 1. Let d(t) = 1 - t + 2*t - 2*t. Let q(x) = 3*x. Let z(a) = 1. Let f(m) = q(m) - 6*z(m). What is l*f(k) + 5*d(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -906942, -906721, -906504, -906291?\n\"Answer: -2*x**2 + 227*x - 907167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72.7 or -31?\nAnswer: -72.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -8422222*d. Let i(q) = -6*q**2. Determine y(i(h)).\nAnswer: 50533332*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-855)\/(-315) - (-10)\/35. Solve 5*v + 24 = h, 8*h = -5*v + s*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 4, 2, -2, -20 in decreasing order.\nAnswer: 12, 4, 2, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61342 is divided by 5572.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 3*z = 0. Solve -4*c - c - 20 = z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - (-22 + 13)) + 4 - (12 + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/((-7)\/7))\/(5\/35).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3595*g - 5 + 24 - 3594*g + (1 - 2 - 1)*(0*g - g + 0*g) + 2 - 2 - g - 3*g + 2*g + 2*g.\nAnswer: 3*g + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 3, -12.\nAnswer: -12, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*j + 50. Is 1228\/j - 4\/(-22) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -4*u - 4*m, -70*m = -2*u - 66*m + 34. Calculate the remainder when 207 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 55402*x**2 + x - 27780?\nAnswer: 110804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/((-1 - 1)*1) - -5. Let g be 7\/p + 12\/20. Solve s - 6 = -4*r - 0, -4*r - g = 5*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*-2*3\/30.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.886 + -127.314. Let v = k - -214. Round v to 0 decimal places.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((2 + (sqrt(75)*-1 + -5 - sqrt(75)) - 1*(1 + sqrt(75))*1) + 2)**2.\nAnswer: 60*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 6*y + 14 - 3 - 20*y**3 + 1 + 17*y**2 + 5. Let q = 2 - 19. Let n(g) = -6*g**2 + 7*g**3 - 6 - 3*g + 0*g + g. Determine q*n(c) - 6*v(c).\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -633*v + 4427. Let u be l(7). Put u, 2\/7, -17, -1 in decreasing order.\nAnswer: 2\/7, -1, u, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 5. Let k be z\/((-2)\/(-33)) + 3. Let i = -11 - k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 16) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(832))*4 + -4.\nAnswer: -8 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 + 39. Calculate the remainder when 0 + (v - (-53 + 3)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208) + -2 - (sqrt(13) - (sqrt(13) - sqrt(78)\/(-2*sqrt(6)))).\nAnswer: -2 + 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-3) - 4)\/((-8)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000062319 to 7 decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8292 + 8297. Let j = 4 - 8. Sort 1, k, j, 4.\nAnswer: j, 1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 6*p**2 + 4. Let m be i(6). Suppose 3*x + 35 = 5*d, -5*x + d = -4*d + 45. Let h be (-27)\/x - m\/10. Put -3, 4, h in descending order.\nAnswer: h, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 22 + 0 - 0. Suppose j + 2*j = h. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 137, 554, 1221, 2138, 3305, 4722, 6389?\n\"Answer: 125*p**2 + 42*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.049 + -5.049. Sort c, -1\/4, 0.5 in descending order.\nAnswer: 0.5, -1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 5*y**2 + y**3 + 1 + 0*y**2. Let g be u(4). Suppose 6*n = 3*n + 21. What is the greatest common divisor of g and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -65.73 + 0.73. Let o = q - -93. Let h = o - 28.0013. Round h to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -926 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*1*(-8)\/((-48)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2154515 divided by -10021.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/18, -3.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/8060 - 9471\/4030. Calculate the common denominator of t and (-582)\/15*(-2)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 394, -5\/4, -0.5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26799 - -52634. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/(-25)*(-5 - 40)\/(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*a**2 + 20*a - 20*a.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 4*z. Let x(t) = 126 + 2*t - 126. Calculate w(x(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*o**2 + 0*o - 3*o + 2*o.\nAnswer: -37*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -12*n**2 - 2*n + 51. Let k(g) = 94 - 171 - 22 + 5*g + 99. What is k(f(b))?\nAnswer: -60*b**2 - 10*b + 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -201133113032 (base 4) to base 14\nAnswer: -12475ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -2*v**7\/315 - v**6\/135 - v**5\/360 + 7*v**3\/3 - 6. Let x(b) be the third derivative of l(b). Let x(h) = 0. Calculate h.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1\/(-6) - 1190\/(-84) and (6 - -9) + (-1)\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200 + 10012?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 63277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 126, 2\/5, 2.82, 0.1, 5 in ascending order.\nAnswer: -2\/3, 0.1, 2\/5, 2.82, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001084 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*x**2 + 4183*x - 124034.\nAnswer: 6*x + 4183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4754 is divided by 55?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of -10*k**3\/3 - 15*k**2 + 19*k. Differentiate z(i) wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, -5, -7 in increasing order.\nAnswer: -7, -5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -40?  (a) -5  (b) 13  (c) 4\/27  (d) 11  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -152 divided by 5.\nAnswer: -152\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1634466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/27 and -25\/942774?\nAnswer: 8484966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1779994234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2988 - 4?\nAnswer: 2984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*t = -39*t - 12384. Let s be ((-4)\/6)\/(96\/t). Put s, -2, -1 in descending order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84 + 165 - 81 - 10*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 15672 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: Let v = 124 + -42. Let k(u) = v + 182 + 2*u - 6*u + 0*u. List the prime factors of k(0).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g - 4. Let x be (60\/27*6)\/((-4)\/(-24)). Suppose -15*q + x = -11*q. Let y be ((-32)\/q)\/(0 - 1\/(-5)). Calculate r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -147, 9, 9089, -4, -2 in descending order.\nAnswer: 9089, 9, -2, -4, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-7)*(-217)\/62.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6*(-6)\/(-1008))\/1?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 0*x. Suppose 32 = -3*t - t. Let u be ((-1)\/(-4))\/((-14)\/t). Which is the third smallest value?  (a) x  (b) u  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 190047*s**2. Let f(m) = -2*m. Give g(f(c)).\nAnswer: 760188*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - (-23)\/(-7))*-14. What is the nearest to 0.1 in -4, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m. Let j(c) = -4*c - 1. Determine 3*j(s) - 6*t(s).\nAnswer: -6*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 848 and 27613?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 2*x = 40. Suppose -6*o + o + x = 0. Suppose -3*w = -5*z + 30, 0 = w + 3 + 2. Solve -8*m + z*m + 15 = -5*f, o*f + 4*m + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3503222ml to litres.\nAnswer: 0.0003503222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*p - 28. Let i be (-4)\/p + (-38)\/(-14). Let f = i + 0. Solve f*t = -5*c + 3, -3*t - t = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 326288741*v = 326288597*v - 1440 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(384\/76 - 5). Let a(p) be the second derivative of -8*p**2 + 7*p - 2*p**4 - k*p + 18*p**2. Differentiate a(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 623 - 393. Suppose -12 = 226*b - h*b. Solve n = -0*g + 5*g + 7, g = -b*n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2 - 103843*f + f**3 + 103857*f - 22 + 11*f**2. What is c(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86 (base 14) to base 9.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tts when three letters picked without replacement from tysotostt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 0 = 4*p - 12, 4*p + 2*u - 6 = 0. Let y be (-9)\/(-6)*((-40)\/(-12) - p). Solve -2 = m + 3*z, -4 = -y*z - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -97, -3, -1, 0 in descending order.\nAnswer: 0, -1, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 12*s**3 - 5*s**2 + 5*s - 5. Let a(i) = 35*i**3 - 14*i**2 + 14*i - 14. Let y(b) = 7*b + 208. Let n be y(-29). Calculate n*a(v) - 14*l(v).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3246 and 7494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3833, -2822, -1793, -740, 343?\n\"Answer: z**3 + 3*z**2 + 995*z - 4832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uummumuuum?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3044 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 5*m = 8, 5*w - 16 = -0*w - 3*m. Suppose 1 = -w*r - 5*y + 10, -y = r - 12. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (232\/((-11136)\/(-1080)))\/(5\/4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 169\/5 - 512\/15. What is the nearest to s in 1, 0.05, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 206074 or 206385?\nAnswer: 206385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 51953577 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.073 - -1.927. Which is the smallest value?  (a) d  (b) 4\/5  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttv when three letters picked without replacement from {t: 2, x: 1, v: 4, q: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11239 + 11243. Which is the nearest to -27?  (a) j  (b) -6\/19  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 610070 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 54  (b) -0.03  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 10*q**2 - 7*q - 3. What is the hundreds digit of l(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6269, -6216, -6159, -6098, -6033?\nAnswer: -5964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(45))**2 - sqrt(30)\/(-2*sqrt(6)))*6.\nAnswer: 147*sqrt(5) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -o**3\/4 + 87*o**2 - 7625*o + 14904 = 0.\nAnswer: 2, 162, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12560.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 0*p - 4. Let s(i) = -15*i - 20. Let c(q) = 2*q + 1. Let d(y) = -36*c(y) - 4*s(y). Let k be d(4). Put p, -2, k in descending order.\nAnswer: p, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - -713?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0.1, -52, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 373314, -3, -42\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 9*y**2 - 14*y + 3. Let a be (3 - (-5 + 3)) + (-1 - -3). Let g be o(a). Suppose v = -g*l + 48, 0*v - 2*l = -v + 43. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.186765 milligrams in micrograms?\nAnswer: 3186.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*v + 3692 = 506. Let l = 227 + v. What is the greatest common divisor of 400 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cnnkcncncccnncnccc. What is prob of sequence nkcn?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - t + 2. Let s be v(2). Suppose 3*y + 2*r = y + 20, r = -s. Solve -4*k + 22 = -2*w, 5*w - 5*k = 7*w - y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1375 and 14500?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 - 1) + 5 - (1 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**2 - 299*h + 3178. Calculate the least common multiple of 9917 and t(11).\nAnswer: 99170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 107, 109, 111, 113?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3284*g**2*h**6 + 2*g**2*h**4 + 40*g**2*h**2 + 2*g**2*h + g**2 - 3 wrt h?\nAnswer: -394080*g**2*h**3 + 48*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, d: 5}. Give prob of sequence nddd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.33*-687\nAnswer: 226.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**30*x**(3\/4)*x**(-1\/2)\/(x**(-3)*x) assuming x is positive.\nAnswer: x**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from mmwxmmzjmjjmz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 j when three letters picked without replacement from {x: 2, j: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of -21*v**5\/5 + 10*v**2 - 6. What is the second derivative of r(h) wrt h?\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 749220 by 107.\nAnswer: 749220\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 10:44 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 15 = -5*p, -l = -p - 4 - 1. Let d be (-4)\/10 - ((-201)\/l)\/3. Suppose 9 = -z + d. Solve 0 = z*k + k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 - -10. Let u = r - 1. Let x = u - -0.0046. Round x to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 306, 1600, 25, 14 in ascending order.\nAnswer: 14, 25, 306, 1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/3)\/((3 - 2)\/(-39)). Is -17 + u - (-844 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5417.956 decades to millennia.\nAnswer: 54.17956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from aaaapapapaaaaaaaaa.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*o + 6*o - 3*o)*(-2*o**2 + 3*o**2 + 3*o**2) - 2*o**3 - 2*o + o + 4*o**3 - 4 + 4 + 2*o**3)*(-11*o**2 + o**2 - 4*o**2).\nAnswer: -392*o**5 + 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let -130*g**3 - 525*g**2 - 410*g - 15 = 0. Calculate g.\nAnswer: -3, -1, -1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 0)*(3 + 7*z - 4*z - 2).\nAnswer: -9*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3092165 + -12?\nAnswer: 3092153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 736080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(4\/7)*i*i)\/i*i**4)\/(i\/(i*(i*i**(1\/4))\/i))**(-4))**15 assuming i is positive.\nAnswer: i**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 145713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 203832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 161*z**2 - 499*z - 498. Let o be j(-1). What is the highest common divisor of o and 1584?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 60853\/3 - 20672. Which is smaller: -388 or m?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/6*g**3 + 578\/3 + 544\/3*g - 67\/6*g**2 = 0 for g.\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 500683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 4 = 4*d - 2*y, 43 = -3*d - 5*y. Let i be (-3)\/(-9) - 148\/d. Find the common denominator of 21 and 5\/i*555\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3*w. Let s(a) be the first derivative of -a**5\/60 + 3*a**2\/2 - 2. Let l(k) be the second derivative of s(k). Give l(o(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -6 - 6. Suppose u + 2*t + 0*t = 71, -f*u - 4*t = -215. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 283500 or 283499?\nAnswer: 283500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) + sqrt(931) + (-1 + sqrt(931))*-6 + -5 + -2)*-6*-2)**2.\nAnswer: 8064*sqrt(19) + 2145168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 - 4*z**2 - 4*z - 12. Let y = -35650 + 35646. Calculate a(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 times -19.3?\nAnswer: -0.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 1 in decreasing order.\nAnswer: 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 3*c**4\/2 - 11*c**3\/3 - 11*c - 7. Let w(v) = -v**3 + 2*v**2 + 2. Give -2*m(u) - 11*w(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 368149?\nAnswer: 368149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -14312*q**2 + 30*q + 1. Let y(g) = 2*g**2. What is u(y(j))?\nAnswer: -57248*j**4 + 60*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(1\/4)\/b**(1\/3) assuming b is positive.\nAnswer: b**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.2, 0.418, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 891078.\nAnswer: 2, 3, 148513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 794072569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*(-14)\/168)\/(1\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 557?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9996 and 293097?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-1))\/(-2)*4\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18423 + 27*t**2 + 2*t**3 + 18418 - 36909.\nAnswer: 2*t**3 + 27*t**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 510.001718 - 510. What is n rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 + 3*b + 4. Let s(c) = c + 1. Let q(m) = -n(m) + 4*s(m). Calculate the remainder when q(4) is divided by ((-2)\/3)\/(2\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*a - 421*a - 643*a - 1051*a - 66240 = 0 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1075206098 to the nearest integer?\nAnswer: 32790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 27\/67, 3.8, -11 in increasing order.\nAnswer: -11, 27\/67, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j - 9088 = -66*j - 100*j. Calculate the remainder when 85 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 15*g**2 + 26*g. Let z be w(13). Suppose 0 = -7*d - 14 - z. Let o = -54 + 268\/5. What is the nearest to 2 in d, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 + 21 - -43 - (-14 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1225444 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -198584, -398654, -598724, -798794, -998864, -1198934?\nAnswer: -1399004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 0)*4\/4. Let q(n) be the second derivative of 1\/6*n**3 + 17*n - 1\/20*n**5 + 0 + 0*n**2 + 1\/6*n**4. Determine q(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2663887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of i**4\/12 + 25*i**3\/6 + 69*i**2 + 485*i. Let u be b(-17). Determine q, given that 0*q - 2\/9*q**3 + 0 - 8\/9*q**u = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (6 - 3) + -8 + 4 + -12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d*i**3*j**2 - 9*d*i**3*j - 2*d*i*o + 2*d*j**2 - 8113*i**3*o + 2*i**2 + i*j*o + 2*i*o + 136*j**2 wrt i.\nAnswer: 6*d*j**2 - 54*d*j - 48678*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 16. Are 2 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 202762?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*r = 122 - 34. Suppose 0 = -4*h - 4*i + 28, -r*i - 14 = -5*h + 3. Solve 18*l - h = 23*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - 8*r**2 + 6*r - 2. Let t be g(7). Let h = t - -11. Let n(s) = -h*s + 2*s + 2*s - 5*s. Let x(p) = -p. Determine x(n(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1*((sqrt(17) - (3 + sqrt(2057)) - sqrt(17)) + -4 + sqrt(136)\/(sqrt(392)*-2)))**2.\nAnswer: 155*sqrt(17) + 419009\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 771950 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9185 and 230291831.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-3\/5)*h)**(15\/7))**(-24))**(-2\/9) assuming h is positive.\nAnswer: h**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.5752488 to three decimal places.\nAnswer: -5.575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {q: 4, z: 4, j: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v**2 + 3 - 3 + 2610*v**3 - 2608*v**3 + 7 to a*v + b*v**2 + p*v**3 + l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -517339\/18 - -28734. Find the common denominator of m and -49\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/376 and 75\/2.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-59)\/((-5428)\/(-1035))*(-1)\/((-6)\/(-4))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1753471?\nAnswer: 1753471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.498843209 rounded to 3 dps?\nAnswer: 1.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.07  (b) -2  (c) -88.7  (d) -0.5  (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 23800 (base 10) to base 5\nAnswer: 1230200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3764914\/9 + (-415)\/(-45) + -9. Suppose -33*d = -v + 170395. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 11*c - 7. Let t(u) = 32*u - 20. Determine -11*d(p) + 4*t(p).\nAnswer: 7*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -880 - -881. Solve -3*o - 8 = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -733 (base 9) in base 13?\nAnswer: -36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 15594606.4 to the nearest 10000.\nAnswer: 15590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 150963, 150961, 150959?\n\"Answer: -2*x + 150965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 274 + 247 = 0. Solve 3 = -k*v + 3*g, -v + g = -5*v - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59, 4640, -30.\nAnswer: -59, -30, 4640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -60 - -59.8. Let a be 6\/8 + (-2)\/(-4). What is the closest to f in a, -2\/9, -4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4254878013?\nAnswer: 3, 12889, 110039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6164134?\nAnswer: 2, 67, 157, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/91)\/(70 + (-61948)\/884)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28459 is divided by 73.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10268 and 1864.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 324 divide 179229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 + 2)*(-15)\/9. Let x(k) = -2*k + 2. Let o be x(r). Differentiate -7*i + 14*i + o - 8*i with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -53 <= -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*b - 14*b - 30. Which is bigger: b or 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 2:22 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -2*n**7\/105 - 13*n**6\/30 - 58*n**5\/15 - 18*n**4 - 48*n**3 - 321*n**2. Factor w(u).\nAnswer: -4*(u + 2)**2*(u + 3)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41.5514+-0.059\nAnswer: 41.4924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -43342 (base 5) in base 15?\nAnswer: -d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and 0.0467952.\nAnswer: 0.2467952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 563 divided by -30098?\nAnswer: -563\/30098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 662764, 1325526, 1988288, 2651050, 3313812, 3976574?\n\"Answer: 662762*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100011 + 10001010?\nAnswer: 10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*w**5 - w**4 + 24386*w**3 + 4594395*w**2 wrt w.\nAnswer: -1860*w**2 - 24*w + 146316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-96)\/20)\/(-4)*(-20)\/6. Which is smaller: -38\/9 or z?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 263\/8  (b) 0.4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - 2c86?\nAnswer: -2c89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -1 + l**3 + 11*l - 23*l - 6*l**2 + 15*l + 3*l. Determine u(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 0 - 2*t**2 + 0. Let x(a) = 2*a. Let o be -2 + (6\/(-2) - -1). Let m(l) = l. Let k(y) = o*m(y) + 3*x(y). Calculate k(j(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 353, 708, 1061, 1412, 1761, 2108?\nAnswer: 2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3\/35 + -5\/7. Let s = -0.23 + 0.26. Is s at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 1315*s**2. Let b(n) = 438*n**2. Determine b(y(k)).\nAnswer: 757400550*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 272 - -388. Calculate the common denominator of -67\/2 and (-10)\/(-25)*(-4075)\/r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h**2 - 9*h + 2. What is the least common multiple of t(6) and 5 - 15\/(-20)*-4*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 550242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 983867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 5*c + 2. Let u be j(-4). Let y(p) = -p**2 - 21*p - 102. Let l be y(-13). Solve -4*r = -16, -u = k - 3*r + l*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 781 divide 1208988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2692, -2709, -2734, -2767, -2808, -2857, -2914?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000060817 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/2590 and 81\/814.\nAnswer: 28490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 258*u**3 + 60*u**2 + 11*u**2 - 270*u + 272*u wrt u?\nAnswer: 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, -7, 4, -80, -5 in ascending order.\nAnswer: -80, -7, -5, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 589923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 369021136 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 67 - 47. Factor 1616*p - 216 + 3*p**3 + 10*p**2 + m*p**2 - 1580*p.\nAnswer: 3*(p - 2)*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14869 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66 + -61. Suppose 2*f = -b + 72, -b = -4*b - y*f + 213. What is the greatest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 3990459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0*y = -10. Let q(b) be the first derivative of -b**2\/2 + 11*b - 525. What is the units digit of q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -22. Calculate the common denominator of 123\/(-10) - (i\/3)\/(-5) and 10\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**0*u)**(-14\/3))**(2\/5))**(-14\/11) assuming u is positive.\nAnswer: u**(392\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 10262*z - 126. Let l(q) = 331*q - 4. Give 63*l(k) - 2*v(k).\nAnswer: 329*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 182412609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 541 divide 7927996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -456, -297, -68, 231?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 233731, 467428, 701093, 934726, 1168327, 1401896?\nAnswer: 1635433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15175882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 20 = 3*g, -3*g + g + 20 = -5*d. Which is the third biggest value?  (a) -4\/9  (b) d  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m. Let z(a) = -4*a**2 - 3. Let h(w) = 2*w**2 + 1. Let y(i) = -5*h(i) - 2*z(i). Let k(d) be the first derivative of y(d). Determine -k(n) - 6*l(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22.3 + 22. What is the fourth biggest value in 0.3, s, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of -t**6\/200 - t**5\/100 + 3*t**4\/20 + 14*t**2. Find p such that g(p) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 2\/11, 4, 4\/55, 39\/50?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 5*g**2 - 133267*g + 2130992 = 0?\nAnswer: 16, 133187\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 1598 = 2*r, -3*n - 5*r = -3140 + 749. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -65 divided by -33346\nAnswer: 65\/33346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -8*x**2 + x. Suppose 0 = -9*b + 4*b + 10. Suppose -5*t = -5*m, -t + b*m + 0 = 1. What is p(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -9*t. Suppose 5*f = 4*y + 8 + 2, -3*f - 5*y + 6 = 0. Let g(o) be the first derivative of -12 + 0*o**f + 1\/3*o**3 + 0*o. Calculate g(b(i)).\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16546 - 7347. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 18ae + 0?\nAnswer: 18ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 7. Let r(g) = -g**3 - 2*g**2 + 3*g. Let m be r(t). Let d = -0.06345 - 0.03655. Does d = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 2*m - 3*m)*(-2*m + m + 0*m)*(-1 + 2 + 9).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 31*j - 31*j - 31*j**2 in the form i*j**2 + l*j + v and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2448669 by -4.\nAnswer: -2448669\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -89.22258615636 + 0\nAnswer: -89.22258615636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 12.717  (b) -2\/3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1096 - 645. Suppose -2*x + 345 = 5*j - d, 5*x - 2*j - 1932 = 0. Which is bigger: x or 387?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -354, -356, -356, -354, -350, -344, -336?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -29 + 29 + 57*s. Let v(h) = -h. Give p(v(z)).\nAnswer: -57*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, r: 5, f: 1, t: 5, v: 1, z: 1}. What is prob of sequence ztvr?\nAnswer: 5\/6552","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2172578355?\nAnswer: 3, 5, 29, 97, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 592 is divided by (2 + 10\/4)*22\/3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7366261853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*n**5 + 12*n**4 - 4*n**2.\nAnswer: -4*n**2*(n - 1)**2*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -68 in 2\/7, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 3114408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 7090863, 14181864, 21272865, 28363866?\n\"Answer: 7091001*d - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d**2 - 4*d + 4. Let r = -138 - -134. Determine u(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56 and 2565276?\nAnswer: 5130552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 124*s**4 - 32*s**2 + 92*s + 4360. Let w(m) = 19*m**4 - 5*m**2 + 14*m + 671. Let b(c) = 5*p(c) - 32*w(c). Find the first derivative of b(r) wrt r.\nAnswer: 48*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -528 - -526. Sort k, 4, -85 in ascending order.\nAnswer: -85, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(((-1521)\/(-39))\/(-429))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.1, -357, 1\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 573509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 3)*(-13*i + 9*i - 12*i) + (-3 + 5 - 5)*(i + 0*i - 2*i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4492?\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 11*v**4 + 7*v**3 + 6*v**2 - 32*v + 24. Let x(j) = 2*j**4 + j**2 - j + 4. Let u(b) = 7*o(b) - 42*x(b). What is the second derivative of u(t) wrt t?\nAnswer: -84*t**2 + 294*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3204, 3488, 4254, 5742, 8192?\nAnswer: 11844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from smsmss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 76998 (base 15) in base 5?\nAnswer: 44024133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*h - 118*h - 5018 + 13943 = 0 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, j: 2, m: 1, y: 6}. Give prob of picking 2 j and 1 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3*j + 21 = 5*v, -j = 3*v - 11. Let d be j\/12 + (-1133996)\/(-6). What is d rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -91 + 206. Let h = o + -114.905. What is h rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55673661*j*z**3 + 4*j + 6234947*z wrt z?\nAnswer: -334041966*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1 + 36*j - 2 + 4 - 29*j wrt j?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 335, 1139, 2711, 5309?\nAnswer: 9191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117350 is divided by 64.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*s**4 + 80*s**3 - 25*s**2.\nAnswer: -5*s**2*(s - 5)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.2 - -3. Let b = -1.4 - -9.4. Let d = b + -4. Put f, 2\/7, d in decreasing order.\nAnswer: d, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, -86, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -517382\/15 - -34492. Let p = 0.9 + 10.1. Let i = p + -7. Which is the third smallest value?  (a) i  (b) -1\/4  (c) v  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -1219*p**7\/42 - 2377*p**3\/6 - 1502*p - 2. What is the second derivative of m(i) wrt i?\nAnswer: -24380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1019070 divided by -7?\nAnswer: -1019070\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1 + -5)\/(-2))\/((-152)\/(-71896)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 + 21292*i**2 - 529464*i - 1780128.\nAnswer: -4*(i - 5298)*(i - 28)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -342, 0, -2, 3, 5, -3 in increasing order.\nAnswer: -342, -3, -2, 0, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3229761389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -14368 divided by -449\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 16 = -s - 2*f, s + 21 = 5*f. Let z be (1 + s)*10\/(-25) - -84. Calculate the greatest common divisor of 123 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6*c**2 - 1618*c - 8. Let j(p) = 2*p**2 - 539*p - 3. Determine 3*a(q) - 8*j(q).\nAnswer: 2*q**2 - 542*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.3  (b) 31  (c) -0.2  (d) -536\/291  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 447 + 127294.\nAnswer: 127741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-85*1)\/(1460\/(-584)) - 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -586*x**2 + 346*x**2 - 559*x**2.\nAnswer: -799*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.0666*-0.07\nAnswer: 0.004662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 1  (b) 0.2  (c) 2\/5  (d) -958\/9  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 14352.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1220846 to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 0 - -29) + -16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p - 10. Let j be ((-5)\/(-3))\/(8\/(-48)). Let l be t(j). Let z = l - -12. What is the lowest common multiple of z and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 18*j. Give o(-11).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 636731, 4, 4\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 205 a factor of 112989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence des when three letters picked without replacement from endslqs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 4*h**2 - 7*h + 15. Suppose 0 = 7*u - 47 + 12. What are the prime factors of t(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14954 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 + -158. Let x = b + 127. Let o be (7 - (0 - -5))*(-17)\/x. Solve 7 - o = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179642051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 9 = 8*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 0 + 1. What is the smallest value in j, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 39926.49 centuries?\nAnswer: 47911788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 713 + 1 - (-21 + 19) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -805 + 803.562. Let p = w + 0.078. Round p to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 39  (b) -1  (c) -1\/6  (d) -1\/5  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c. Let o(q) be the second derivative of -q**4\/12 + 2*q. Determine o(n(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -142830 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + 15 + -4*(-7)\/14. Suppose 10 = -2*b, 0*b + y = x + 2*b. What is the remainder when 33 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 141 = -3. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.3 - 2.7. Put -5, g, -1 in increasing order.\nAnswer: -5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3303401 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 155\/2952 and -73\/72?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/14 - (-24)\/(-14). Let u be -4*(-1 - 1\/m). Let o = -181 - -181. Solve 0*i + u*i - 2 = o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0*t = 0. Let g(l) = -5*l + 2*l + t + 2*l + 1. Determine g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 2775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2554667835 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2. Let b(y) = -y**2 - y - 5. Let g be b(-6). Let v(o) = -10*o**2. Let s(p) = -90*p**2. Let d(k) = g*v(k) + 4*s(k). Give d(r(l)).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -20241 divided by 10\nAnswer: -20241\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k + 598 + 14 = 0, 46*m - 42*m + 193 - 56 = 3*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19 and 3173.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3.508536 months?\nAnswer: 0.00292378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -j**3\/3 - 81*j**2\/2 + 82*j + 362. Determine f so that s(f) = 0.\nAnswer: -82, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28855 + -28853. Solve 5*c = m*b - 1, 0 = -4*c - 6*b + 10*b - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((7\/35)\/(1548\/(-1290)))\/(2\/10).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 777 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 655215 is divided by 184?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of d**3\/3 + 3*d**2\/2 + 12*d + 6. Let i be o(-8). Let r = i - 26. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 6:06 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b + 6 = 13*b. Let s = 4.974 - -0.026. Let d = -13 - -13.03. Put b, -3, s, d in increasing order.\nAnswer: -3, d, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**(1\/6)*d*d*d)*d**(3\/2))\/(d\/((d\/d**(-2\/7))\/d))**(20\/9))\/(d**(2\/3)*d**1*d\/(d**(-1\/17)\/d)*(d**(-7)*d)\/d) assuming d is positive.\nAnswer: d**(22\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 3*y + 9 + 7, 0 = -4*y - 16. Suppose -a*u + 12*u = 16. Let -2*z + 0 + 2\/3*z**u = 0. Calculate z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-185 + 191)*(2\/90 - (-6)\/(-27)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**4 + 1854*h**3 + 304128*h**2 + 8357376*h + 63258624 = 0.\nAnswer: -352, -234, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 11 - 8, -3413 = -5*f - z. List the prime factors of f.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of 17*l**6\/30 + 11*l**5\/4 + 65*l**4\/12 + 5*l**3\/6 + 3*l**2 + 7384*l. What is the third derivative of g(w) wrt w?\nAnswer: 408*w + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -3\/5, 25 in ascending order.\nAnswer: -9, -3\/5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/((30*-1)\/2). Let g be (38\/18 - 2)\/(2\/(-12)). Which is the closest to -0.1?  (a) 0.2  (b) h  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 132 + -139. Let h(f) = f + 2. Determine h(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 165, 398, 703, 1074, 1505?\nAnswer: 1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1645761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2398, -2413, -2444, -2497, -2578, -2693, -2848?\n\"Answer: -k**3 - 2*k**2 - 2*k - 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + -4 - 15) + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 38 - 12. Calculate the remainder when (-1 - u)\/((-6)\/4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence co when two letters picked without replacement from {o: 5, f: 4, c: 3, p: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 + 6*x + 19. Calculate b(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -22482 divided by 1249\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 - -19. Let d be (33 + -6)\/(2 - z\/(-4)). What is the highest common factor of d and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = l + 681535, 132*r - 136*r = l + 681538. Round l to the nearest one thousand.\nAnswer: -682000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00078595 rounded to 5 decimal places?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3758 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117 + (-33 - -24) + 23 + (-20 - -2).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 - 4*z - 133 + 9 + 16 + 70.\nAnswer: -4*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -361 - -359.84. Let d = 1.15378 + r. What is d rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*n + 3*w + 399, n - 16*w - 18*w + 8 = -38*w - 11 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9279 (base 12) to base 14.\nAnswer: 5b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 1657 - 4427 = -2*n, -5*n + i = -15227. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -4*c**2 - 18*c + 8. Let o be x(-6). Does 37 divide (-21)\/o - 2\/(16\/(-1402))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -128*i - 127*i - 127*i + 384*i. Let b(u) = 40*u**2. Give r(b(v)).\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -48.3 - -48.8. Let l = -4.35 - -0.35. Which is the closest to -2\/5?  (a) r  (b) 15  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 157908849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 6183.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v - 6*v = -7*v. Suppose -i + 150 - 7 = v. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**(-2\/23))*c*c**(-1\/7))**(-1\/58)*((c\/(c*c*(c\/(c\/(c\/(c\/c**(-1))*c*c)*c)*c)\/c))\/(c\/(((c**(-6\/7)\/c)\/c)\/c*c*c)))**(-32) assuming c is positive.\nAnswer: c**(82318\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 7*c - 3. Let i be m(8). Let r be i\/(-3)*9\/(-3). Find the second derivative of -d**5 + 53*d**2 + 6*d**5 - 53*d**2 + r*d wrt d.\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -5572 and -5570 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 14*z**2 - 3 + 9 + 2 - 8*z + 0. Let w(n) = 9*n**2 - 5*n + 5. Let q = -20 - -25. Give q*h(k) - 8*w(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 10*z**2 - 3*z + 14. Let k be l(-10). Suppose -7*h = -17*h + 260. Suppose k = -b + 5*b - 4*i, 4*i = b - h. Which is smaller: b or 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v - 60. Let i(h) = 3. Let w(j) = -15*i(j) - l(j). Let r(y) = 2*y - 8. What is 7*r(g) + 4*w(g)?\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (19\/(-76))\/(3\/(-36)) - 3. Factor 5\/3*s**2 + a*s - 20\/3.\nAnswer: 5*(s - 2)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125550141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3237347?\nAnswer: 3237347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -21 + (4 + 2 - -20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssscenncnsscnusncc. Give prob of sequence ecu.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 10. Suppose o*q - 2*u = -126, u - 4*u - 136 = 5*q. Let y = q + 43. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -1)*(-42 - -56). Let b(d) = -d**2 - 14*d + 4. Let r be b(y). Solve p - 3*p = -r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*i + 66 = -204 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -172.\nAnswer: -68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -180908, -0.1, -0.4, 1\/2, 1\/5, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -1  (b) 0.3  (c) -2\/5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 147391381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 62 + -3. Let i = -58.6 + k. Which is the third smallest value?  (a) 3  (b) -0.05  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 4:57 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*1 + (3 - -2). Let d(m) = -4*m + 14. Let p(j) = 2*j - 7. Let i(v) = w*d(v) + 7*p(v). Let b be i(6). Let n(g) = -3*g + 6. Calculate n(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -2\/9, -12\/7, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2613, -2612, -2609, -2604, -2597?\n\"Answer: k**2 - 2*k - 2612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, u: 3, j: 15}. Give prob of picking 1 j and 1 a.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1233407817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 60, 145, 264, 417, 604?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01744 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 656*s + 1979. What is j(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**3 + 3*d**2 + 1279*d - 140. Determine g(26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.21 + 0.18. What is the nearest to 2\/7 in -0.5, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-4) + (-5)\/((-60)\/(-63)). What is the second biggest value in -1\/2, w, -0.01?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, r: 2, i: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33 - -32. Let s be 0*(0\/14 - m\/2). Suppose -v + 145 + s = 0. List the prime factors of v.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -470, -447, -386, -269, -78, 205, 598?\n\"Answer: 3*d**3 + d**2 - d - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-436)\/(-1))\/(9*13*(-60)\/(-1755))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -4 + 2 + (1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*u + 3706 - 1169, 0 = 3*u + 3*p - 1533. Is 3\/(1028\/u + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 382935599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 5*m - 25, -m + 2 + 3 = 0. Solve c = -6*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -191076 divided by 19.\nAnswer: -191076\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 1 = 19, -4*y + 5*u = 8. Solve 5*v + 0*i = y*i + 13, 2*v = -5*i + 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - ((-17 + 8 - (-2 + -3)) + 0 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let -3*m**2\/2 + 23466*m - 91775526 = 0. What is m?\nAnswer: 7822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 137066094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 468 + -416. Let p = -50 + w. Which is the fourth biggest value?  (a) p  (b) -2\/3  (c) 27\/4  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 27*l**2 + 24*l - 48. Let i be o(-26). Suppose 9 = 3*d, i*d + 67 + 213 = 4*s. Is s a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 325328 and 19621345?\nAnswer: 313941520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c + 4. What is the smallest common multiple of z(4) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45782 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 45 - 6e6fd?\nAnswer: -6e6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1396, -1403, -1410, -1417, -1424?\n\"Answer: -7*s - 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2a41 (base 13) to base 8\nAnswer: -13771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1*32.2926\nAnswer: -32.2926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -5, 125, 1, -4 in increasing order.\nAnswer: -5, -4, 1, 8, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 + r + 2. Let g(c) = -2*c**2 - 4*c + 2. Determine -3*a(p) - g(p).\nAnswer: -p**2 + p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, 20, 103, 212, 347, 508?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6586*c - 86698 = -2879*c - 2413*c for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 3, -0.8, -0.2 in decreasing order.\nAnswer: 9, 3, -0.2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -18, -20, -18?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 4*w - 32, k - w = -0*w - 2. What is the tens digit of (4\/(-8))\/(k\/(-108))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*t + 3*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 46079682115 and 1.\nAnswer: 46079682116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 217 + 213 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 342271631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.4683 + 0.1083. Let y = 23 + -24. Let j = -1 + 1. Which is the nearest to g?  (a) y  (b) 3\/4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of h**6\/25 + 63*h**5\/100 + 81*h**4\/20 + 27*h**3\/2 + 243*h**2\/10 + 790*h. Factor a(f).\nAnswer: 3*(f + 3)**3*(2*f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 145359 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s - 25 + 73 = -36 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z**3 - 3*z**3 - z**3)*(-7*z**2 + 1 + z + z - 3).\nAnswer: 56*z**5 - 16*z**4 + 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 781 + -765. Calculate the greatest common factor of u and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o = -104*o + 1059640. Round o to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 3*d + 2 = 0, -4*n = -4*d + 79875 - 79863 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + (92\/(-22) - (-6)\/33). Which is smaller: j or 2\/95?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 282111188 and 78358.\nAnswer: 11194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3966 = -20*r + 22406. What is the remainder when r is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9793025003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 978901\/(-38139)*(1*-2)\/((-44)\/(-12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2146 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 40*c - 160. Let z(n) = -5*n + 20. Let r(j) = -3*f(j) - 25*z(j). Let d be r(13). Is ((-50)\/d)\/5 + 22241\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 10*c + 3. Let a be k(-10). Suppose -z - 5*q = 2*z - 7291, a*q = -12. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 7:23 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 12*y + 13. Let i(d) = -d**2 - 11*d - 9. Let v be i(-9). Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9307)\/(-246) + -37)*63\/15?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 4*u**2 + u + 5. Let l be c(4). What is the second derivative of -3*a**4 - 75*a + l*a + 0*a**4 wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2*v**3 - v**2 - 4. Let t(k) = 2*k**3 - 16 + 19 - 3*k**2 - k**2 + 5*k**2. Suppose 17*i - 32 + 117 = 0. Calculate i*t(c) - 4*x(c).\nAnswer: -2*c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278872.\nAnswer: 2, 11, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 15\/2  (b) 14  (c) 11  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sijscc. What is prob of picking 1 j, 1 c, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 25232852 to the power of 1\/2, to the nearest integer?\nAnswer: 5023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of 35*t**3\/6 - 137*t**2\/2 + 84*t - 1. Calculate the remainder when 53 is divided by o(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + -2)*(-22)\/4. Suppose 4*d - 15 = l, -13*d - 5 = -12*d - 2*l. Solve -d*n = -6 + s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6271752*v**4 - 6765965?\nAnswer: 25087008*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2713 (base 8) to base 4.\nAnswer: -113023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, l: 2, c: 9, i: 1, o: 2}. Give prob of sequence moc.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2279\/12625 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)*-4*2 - -2*sqrt(133)*3)\/(-1*(sqrt(567)*1 + sqrt(567) - sqrt(567)) + sqrt(567)*-2*-5).\nAnswer: -2*sqrt(19)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, -0.1, 0.5, -2\/47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/542 and -71\/3794.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 9*j + 10. Let p(x) = -6 + 15 + 4*x + 2*x + 2*x. Suppose -98 = 4*w - 78. Let k(o) = w*p(o) + 4*d(o). Let l(n) = -5*n - 6. Calculate 4*k(y) - 3*l(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 96 and 1349460.\nAnswer: 10795680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43171566, -86343129, -129514692?\nAnswer: -172686255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/126 - (-6)\/(-42)*-2. Which is the third biggest value?  (a) -0.5  (b) p  (c) -0.2  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a - 2*a + 4*a)*(3*a + 0*a - a) - 6*a**2 + 5 - 5 + 33*a**2 - 11*a**2 + 63*a**2 in the form r*a + o + z*a**2 and give z.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 take away -17173?\nAnswer: 17151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 419.631mm in nanometers?\nAnswer: 419631000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 20 = -4*q, 7*k = 3*k - q + 80. Solve 3*u = 5*g + k, 12 = 5*u + 3*g - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 9*i**2 + 20*i - 70. Calculate the remainder when a(5) is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m - m - 3*m + 5*m + 0*m - 6*m + (-3 + 5 - 1)*(0*m - m - m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1541, 3088, 4635, 6182, 7729, 9276?\nAnswer: 10823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4\/4 - 2*n**3 - 13*n**2 + 80*n + 192.\nAnswer: (n - 8)**2*(n + 2)*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 9:53 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of z**5\/60 - 5*z**4\/12 + z**3\/6 - 2*z**2. Let m be d(9). Let f be (-1)\/(0 + 2\/m). Solve 0 = j - f*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/15 + 4*j**2\/3 - 50*j - 600.\nAnswer: 2*(j - 20)*(j + 15)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2912 and 30368?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(-5)*(0 - 1) + 0. Suppose q = -4*s + 6 + 2. Solve -s*w = c - 0*c - 7, -w = -2*c + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-1 + (sqrt(2736) - (1 + sqrt(2736))) - sqrt(2736)) + -4 + (sqrt(2736)*-1 - sqrt(2736)) + 4)**2.\nAnswer: 144*sqrt(19) + 24628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -524*h + 388*h - 2883 + 14443 = 0 for h.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -6\/11, 0.05, -1910.33 in decreasing order.\nAnswer: 0.05, -6\/11, -5, -1910.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8 - 8) + 8)\/(11 + -1). Let v(l) = -4*l**3 + l**2 + l + 1. Let k be v(-1). Which is the closest to f?  (a) 1  (b) 0.5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10010110 (base 4) to base 13\nAnswer: -7777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n = 511 + 161. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(2*v + v + 0*v)*(6*v**2 - v**2 - 2*v**2).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**3 + 69*c**2 + 35*c + 204. Let h be k(-34). Calculate the greatest common factor of h and 884.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -60*k**6 + 6*k**2.\nAnswer: -7200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 728280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 5:51 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -169 + 20356\nAnswer: 20187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 103532 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**(-1))\/c)\/c)**(-19)*c**6\/(c\/c**(-7)) assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 606 + 328 = 3*a - 348, -4*a = 5*u + 105 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 233 - 53*n - 18870*n**2 - 18868*n**2 + 37740*n**2. Calculate f(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 AM and 12:59 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 + 19 + -508 + 565 + 16\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 4*w = 10. Let s be w\/(0\/1 + 1). Solve 0*u - s*u - 2*q = -10, -2*u + 5*q = 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, 28.6, -2\/9, 2\/5, -2\/7 in decreasing order.\nAnswer: 28.6, 4, 1, 2\/5, -2\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.091 less than -21468.88683092?\nAnswer: -21468.79583092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 182627 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 87807460 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w**3 + 8*w + 2*w**3 + 63*w**2 - 61*w**2 as l*w**3 + v*w + i*w**2 + b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 612 (base 9) to base 11\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -57292, -114604, -171950, -229348, -286816, -344372, -402034?\n\"Answer: -3*y**3 + y**2 - 57294*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -905 = -5*q - 3*r, 5 + 5 = 2*r. Let i = q - -68. Suppose -10*w = -554 - i. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -11305112 + 11305112 - 1869*f**2. Let d(r) = 4*r**2. Determine x(d(u)).\nAnswer: -29904*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.007671975 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -56.38.\nAnswer: -225.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 3 - 1)*(2 + 5*x - 2)*(1 - 1 + 2*x) in the form g + z*x + u*x**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -35 - p - 57*p**3 + 2*p**2 + 58*p**3 - p as o + r*p + j*p**3 + w*p**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -3*u**2. Let d(q) = 337*q**2. Calculate d(z(w)).\nAnswer: 3033*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28.6 + 27.6. Which is the nearest to -0.016?  (a) -2  (b) -1\/2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 40.44962 grams?\nAnswer: 40449620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*c*g**2*l**2 - 123*c*g**2 + 2*c*g*l - 8*g*l wrt l?\nAnswer: 6*c*g**2*l + 2*c*g - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.8 - 2.66. Let d = -0.04 + o. Sort d, 1\/8, -5.\nAnswer: -5, d, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-2 + -3 + 14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 0*u**2 + 0*u**2)*(-2*u**2 + 18*u**2 - 3*u**2)*((-u - u + u)*(3 - 2 + 1) + 2 - 2*u - 2).\nAnswer: -104*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -1. Let i be ((-2592)\/120)\/9*(-970)\/4. Suppose -108*g + 111*g - i = a. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11766 + -10744. Calculate the highest common factor of h and 2774.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 4*x + 51, -2*p + 0*x = 2*x + 22. Let s(k) = k + 5. Let f be s(p). Let v(m) = 2*m**3 + 3*m**2 - 2. Give v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -322, 6275, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 1 - 5 + 3*b**2 + b**2 - 5*b**2 - 5*b. What is d(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11231 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47 - 41. Solve g = -w + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 5*m**2 - 4*m + 2. Let t be w(-4). Suppose -t*f + 5 = -39. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -239554 times 0.12\nAnswer: -28746.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qbz when three letters picked without replacement from yfzqzyyyyzybfy.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/5 in 3\/7, 0.1, -5\/4, 0, -5106?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 2*u + 1, 4*u = -3*k - 10 - 1. Solve h + f + k = 0, -4*h - 3*f = -2*f + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 4:57 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 103815 divided by -20763?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -37569, -300742, -1015065, -2406114, -4699465, -8120694, -12895377?\n\"Answer: -37596*j**3 + j**2 - 4*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, -5, 0.097, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 26\/5 + 1\/(-5). Suppose 426 = 10*y + 396. What is the nearest to 0 in h, -10, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*p, -3*i + 3*p = -4334 + 191. Is i a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2831\/21 - 953\/7. Sort -0.3, 3, o.\nAnswer: o, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*s + 24. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 52, 115, 192, 283, 388, 507?\n\"Answer: 7*u**2 + 42*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -318, -680, -1176?\nAnswer: -1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 - b**2. Let a(c) = -9*c**3 - 12*c**2. Determine -a(u) + 12*o(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 211*j + 27. Let c be v(5). Let q = -662 + c. List the prime factors of q.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.2  (b) 0  (c) -1  (d) 1.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5823 divided by -5823\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5250 and 12592500?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 15 = 5*h, -7*h + 5*v + 3 = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/i**(-1\/38)*i))**(-1\/2)*i**(-12)\/(i*i*i*i\/((i\/i**4*i)\/i)*i) assuming i is positive.\nAnswer: i**(-1481\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 + 70*j**2 - 122*j - 912. Let n be h(68). Is 80 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2467, -9917, -22333, -39715, -62063?\nAnswer: -89377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 388*x**2 - 905*x**2 + 144*x**2 + 391*x**2. Let y(g) be the first derivative of -8*g**3\/3 + 2. Determine y(d(q)).\nAnswer: -2592*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -214 - -99. Let z = -129 - o. Which is bigger: z or -18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44555 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -1, 19663, -3.\nAnswer: -3, -1, -1\/4, 19663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 158561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**2 + 77*n + 832. Determine j(86).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 871857, 3487413, 7846673, 13949637, 21796305, 31386677?\n\"Answer: 871852*p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 1061038 - 1061046 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 0*x = 12. Let z be ((-24)\/27)\/((-2)\/(-15))*-3. Suppose -z = -2*s + w, -3*s - 2*w = -0*s - 16. Calculate the least common multiple of s and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 335\/102 + -19\/6. What is the biggest value in -0.2, -0.1, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 - 4*g - 2. Suppose 9*h + 75 = -24. Suppose 4*d = -3*j - 2*j + 100, -42 = -2*j - 2*d. Let f = h + j. Determine i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*h + 4*h - 3*h)*(-h**2 + 3*h**2 + 3*h**2) + 2*h**2 - 2*h**2 - 2*h**3.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1016871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -37499 divided by -11?\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*k**2 + 0*k**2 + 2*k**3)*(-4 + 4 - 3*k)*(2 - 1 - 4) - 130*k**4 + 58*k**4 - 54*k**4 to h + u*k + r*k**4 + l*k**3 + s*k**2 and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of 14*w**5\/15 + 53*w**4\/2 + 262*w**3 + 2737*w**2\/3 - 588*w - 663. Let b(u) = 0. What is u?\nAnswer: -9, -7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 164730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 12:23 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101101111 (base 2) in base 3?\nAnswer: -1012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - w - 137. Let l be -2 + 4\/((-8)\/(-4)). Let n be h(l). Find the common denominator of (n\/12)\/(-2 - -3 - 0) and -97\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 3:16 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 - 49450?\nAnswer: -49442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 584647?\nAnswer: 584648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -416253\/152 - 159\/19. Let x = a - -2737. Let z = -361\/42 - -80\/7. What is the common denominator of z and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 15.8?\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v**3 - 11*v**2 + v + 8. Let g be o(5). Let w be 42\/g - (2\/4 - -1). Let k = w + 44. What is the lowest common multiple of 24 and k?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**8\/80640 - l**7\/20160 + l**5\/30 - 3*l**2. Let s(p) be the third derivative of u(p). Solve s(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 10}. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*n - 2*n - 4*n)*(0 + 6 - 2)*(3 - 4 - 1)*(-3 + 2 + 2) + n - 4*n + 0*n + (n + 0*n + 0*n)*(-4 + 1 + 4) in the form u*n + t and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 129468.078 rounded to the nearest one hundred?\nAnswer: 129500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -112 + -2031?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 29. Let l be 354\/f + 2\/(-5). Suppose r - 6*r = -l. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + r - 5 = -7, -3*z - 8 = 4*r. Let m(f) = 293 + 0*f**2 + f**3 - f**2 + 296 - 586. Determine m(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ynvzgkn. Give prob of sequence nzg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32981 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 77 * 3303.35\nAnswer: 254357.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-3 - -4)*12\/78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k + 236 - 112 - 82 as y*k + u and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 6*v**2 + 7*v. Let u be 1 - 2 - (-75 - -69). Let h(m) = m**3 - 5*m**2 - 6*m. Give u*a(o) + 6*h(o).\nAnswer: 6*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -50*f**2 - 325*f - 20. What is n(-7)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g - 1260 = -24*g. What is the remainder when 271 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - q - 58 = 0, -3*h - 5*q + 0*q = 50. Let y = -10 - h. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.09847 and -0.4.\nAnswer: -0.039388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (((-22)\/(-2277)*18)\/5)\/(8\/20)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/((-2)\/(-4)*-2). Let p = l + 5. Put -2, p, 2 in descending order.\nAnswer: 2, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1811539 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.99 - 0.01. Let p = -18 + 18.8. Let l = p - 0.7. What is the nearest to l in -3\/4, 5, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3944993*j. Let r be n(3). Suppose 4*o - 3*l + 14039991 = 0, -3*l - 2205030 = 4*o + r. What is o rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 30020 = -15*l + 13204. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 14*k**2 + 21*k - 3. Let d(i) = -5*i**2 - 7*i + 1. Determine -2*b(n) - 7*d(n).\nAnswer: 7*n**2 + 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 2*g + 5. Suppose 2*p = g*p - 15. Let w(t) = 12*t + 4. List the prime factors of w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**5\/9 - 170*r**4\/3 - 56*r**3 + 1016*r**2\/9 = 0. Calculate r.\nAnswer: -254, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - ((-748)\/(-238) + 1*4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of -3\/10*k**6 + 0 - k - 33\/20*k**5 - 2*k**4 + 0*k**2 + 2*k**3. Let o(l) = 0. Calculate l.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b + 39*b**3 + 26*b**2 + 2*b**2 - 25*b**2 - 2 to s*b + f*b**3 + p*b**2 + r and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*u**3 + 4*u**3 + 2*u**3 + 3*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(2*(0 + sqrt(684)) + sqrt(684) + (sqrt(684) + -5)*-1)*1)**2.\nAnswer: 1080*sqrt(19) + 24849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1147 - -4146?\nAnswer: 5315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 113*p**6 - 2*p**5 - 3*p**2 + 24 wrt p.\nAnswer: 13560*p**3 - 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.546 + 1.054. Let n = 0.1 - -4.9. Let r = n - 5.4. Which is the second biggest value?  (a) h  (b) 4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 931 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: Let g = 23018.03 + -23018. Let m = 0.3 - 0.4. What is the nearest to m in 4, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -277822*j**2 - j**3 - 277826*j**2 + 555648*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/7, -0.09, -1370?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 41313\nAnswer: 16525.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -119242.909 to the nearest one hundred.\nAnswer: -119200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + 6*u - 5. Let o be g(-7). Let h be 1\/o*(-22 + 20). Let m = -1.8 + 2.8. Which is the second smallest value?  (a) 4  (b) h  (c) 1\/7  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 723, 3020, 6863, 12252, 19187, 27668, 37695?\nAnswer: 49268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence flp when three letters picked without replacement from {a: 1, e: 1, l: 1, m: 2, f: 1, p: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/8 - 127850*v - 7671225\/2.\nAnswer: (v - 1022830)*(v + 30)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 26040901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 508410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 6)*(-5 - 1 + 0)*(-2*w + 2*w + w)*(-1 - 4 + 3)*(-5 + 1 - 1).\nAnswer: -480*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 0 - (3432\/(-242))\/(-2) - -6.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4667882459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Is -5\/1154 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70.6 - 181.9. Round p to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t. Let c(d) = 4*d - 1580. What is r(c(v))?\nAnswer: 12*v - 4740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(6\/(-16))*822\/(-1096)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2 - 114418122*y - 1090958886833907.\nAnswer: -3*(y + 19069687)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4*3\/(-30) - 33\/(-120). Which is the nearest to 0.4?  (a) -3  (b) -5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -110530, -110528, -110526, -110524?\n\"Answer: 2*o - 110532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 60\/7 - 992\/119. Let p = m - 25\/34. What is the common denominator of p and 103\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143*q - 92*q - 343*q.\nAnswer: -292*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -25*p**3 + 3*p + 1. What is the units digit of b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((4*3*sqrt(1584))**2 + 0) + -6*(-1 + sqrt(1584) + 0 + (sqrt(1584)*2 + -4)**2).\nAnswer: 1080*sqrt(11) + 646182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3597 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 70\/(-15) + (-1)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/288 and 61\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 p, 1 o, and 1 d when four letters picked without replacement from {d: 1, o: 4, p: 1, e: 5, c: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*t - 8. Suppose 5*f - 19 + t = 0. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14968 - z**3 + 14968.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1903477782.\nAnswer: 2, 3, 827, 383611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 5*n**2 + 5*n - 6. What is the units digit of o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 + 5*u + 15. Calculate c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -1226, -0.021, -2\/3, 4\/7, 0.03, 2?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 593538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiji when four letters picked without replacement from {i: 17, j: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) -3\/7  (c) 6\/5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 807 a factor of 1395788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -576411*g**2 - 1021336*g wrt g?\nAnswer: -1152822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/2)\/((-335)\/(-23450))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 26 = 5*n - 3*n - 5*c, 10 = 2*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 3*u - 23. Suppose -4*v + 2*v = -5*y + 41, u*y - 24 = v. Let o(j) = -2*j + 9. Give o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 12:00 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of -t**5\/4 + t**2. Let q(f) be the second derivative of -1\/3*f**3 + 0*f**2 + 84*f + 0. Give j(q(m)).\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of s**5 + 12*s**4 - 2*s**3 - 1364*s.\nAnswer: 20*s**3 + 144*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-13 - (-4 - -1))*-114. Suppose -5*k + c = -1115. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 43*i**2 + 39*i + 283. Determine q(44).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13448.7 - 13449. Which is the closest to 0?  (a) 4\/3  (b) -3  (c) 2  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.344346554 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*q = 6*p - 122*q - 110, 0 = 5*p + 4*q - 40 - 51 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1266*z**3 + 72*z**2 + 382*z - 949303051 wrt z?\nAnswer: 3798*z**2 + 144*z + 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*y - 3*t + 100385 - 100442, -5*y - 4*t = 76 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 108*w**2 - 209*w**2 + 27*w**3 + 98*w**2 + 17*w + 29*w**3 wrt w.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -6 - ((-3 - 0) + 2). Let b(c) = -3*c**2 + 7*c + 1. Let u(v) = -4*v**2 + 7*v. Let f(g) = -5*b(g) + 4*u(g). What is the units digit of f(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of x**4\/12 + x**3\/6 - 8*x**2 - 7635*x. Calculate a(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68) + -1 + 1.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -470, 3, 10, -1, 12 in decreasing order.\nAnswer: 12, 10, 3, -1, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -11*z - 1. Let s be n(-3). Suppose -20 = -3*m - 8, -d - 4*m = -s. Suppose -4*f + d = -0*f. Are 3 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-22) - 535\/18832?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*w**2 - 27*w + 817 wrt w.\nAnswer: -16*w - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 2:14 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 473425642?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1021 (base 3) in base 7?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.635 + -0.035. Which is the fourth biggest value?  (a) r  (b) -0.2  (c) 0  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.4 take away -11064291?\nAnswer: 11064302.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 u, and 2 q when four letters picked without replacement from {h: 4, u: 3, q: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 35*d**3 - 5*d**2 + 7. Calculate z(2).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 133136548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/9))**29\/(h\/((h*(((((h**(-4)*h)\/h)\/h)\/h)\/h)\/h)\/h))**(-1\/2))**33 assuming h is positive.\nAnswer: h**(2167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 105052*u**4 - 929*u**2 - 134*u - 24185.\nAnswer: 1260624*u**2 - 1858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of 17*y**6\/10 + y**3\/2 - 2*y**2 + 48*y. What is the second derivative of r(o) wrt o?\nAnswer: 612*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/35 and 125\/42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away -35458911?\nAnswer: 35458908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 36056467 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 16\/279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 537 + -2149\/4. What is the nearest to x in -3, 4\/11, 3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16 - (6 - -12)) + 15 + -24\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1243, -1247, -1253, -1261, -1271, -1283, -1297?\n\"Answer: -l**2 - l - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**(-7)*f\/(f**(3\/5)\/f)*f**5*f*f*(f**(2\/11)*f)\/f*f*f*(f**9*f**(-3))\/(f**5*f*f*f**(-1\/2)) assuming f is positive.\nAnswer: f**(449\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19 - 923?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295 is divided by 248?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 617 is divided by 104?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 171 (base 9) to base 12\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n + 5*n**2 + 7*n**2 - 25*n**2 + 9*n**2 + 2. Determine x(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) + sqrt(63) + 0)*-3.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-33488)\/(-35))\/(4\/4550). Let c = 8720409\/8 - r. Let z = c - 1687. Find the common denominator of -107\/10 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8253 - 54?\nAnswer: -82a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4964, -19896, -44780, -79616, -124404?\nAnswer: -179144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 62, 147, 306, 563, 942, 1467?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 255 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 349014696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6206 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*x + 708 = -65*x - 80 - 3083 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of 5\/3*q**3 - 26 + 0*q**2 - 10*q. Differentiate w(d) with respect to d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 - -12.3. Let s = 71\/93 + -3\/31. Which is the nearest to s?  (a) k  (b) -3  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**3 - 3*n - 1. Let b be m(-2). Let s = 5.047 + -3.047. What is the nearest to -1 in s, -5, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14628 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (29\/((-3335)\/207))\/((-6)\/40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5192 divided by 8\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eddd when four letters picked without replacement from {r: 5, e: 4, d: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*c**2*x + 74*c**2 - 4*c*x + 10535*x + 10 wrt c.\nAnswer: 22*c*x + 148*c - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvxnxvnn. What is prob of picking 1 n and 2 x?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 3)\/((-2)\/13). Suppose -l = -5*g - 11. What is the second derivative of -5*n**2 - 3*n**2 + 7*n**2 + g*n wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 6 - 19 = 0. Let d be (47 - 1)*3*k\/30. What is the second derivative of -6*f**3 - 10*f**4 - 7*f**4 + d*f + 6*f**3 wrt f?\nAnswer: -204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -36493, -73032, -109571, -146110?\n\"Answer: -36539*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 AM and 4:51 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fpflffpflffffff. Give prob of sequence lp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -52.7425 times -0.3\nAnswer: 15.82275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -12. What is the tens digit of (-3)\/(f + (-48)\/39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/5 and 63\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162379675 is divided by 813.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 438470 is divided by 927.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -2037  (c) 116.4  (d) 3\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 242668165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*h + 10 = -3*h, -k + 5 = 2*h. Suppose -p = -3*p + 2*z - 144, -3*p = -z + 220. Is p*-1*k\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24419.61 rounded to the nearest one hundred?\nAnswer: -24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1001010101011111111001 (base 2) to base 14\nAnswer: -479c6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = r + 20. Suppose z - 5 = -2*k, -k = 3*k - 4*z - r. What is the least common multiple of k and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a + 45*a - 5*a + (-4 - 1 + 3)*(-4*a + 3*a + 2*a).\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 318261598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 2152*o + 2*o**2 - 8 + 22 - 14 + 584*o as j + n*o + z*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 36, 18, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -4*k**3 - 2*k**2 - 2*k + 2. Let o(j) = 4*j**3 + 3*j**2 + 3*j - 3. Let r(f) = -f**3 - 27*f**2 - 27*f - 20. Let h be r(-26). Give h*l(i) + 4*o(i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 40 = 2*t - 18, -f - 5*t - 19 = 0. What is the nearest to 0.18 in -0.5, -5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 0)*(-26 - -27). What is the lowest common multiple of (f - 28\/(-6))*(-4 + 7) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**(-18)*o\/(o**(-7\/6)*o) assuming o is positive.\nAnswer: o**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5201034, -5201019, -5201004, -5200989?\nAnswer: -5200974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 - -14. Let n(s) = -s**3 - 5*s**2 + 7*s + 8. Let y be n(-6). Suppose -p - y*p = a. Solve -10 = 5*c - p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 + -11220?\nAnswer: -11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-2 - 54) + (4 - (-9 + 17) - 5).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -663*z**2 + 13261*z - 53. What is i(20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2471649*r. Let b(j) = 17*j. Give h(b(i)).\nAnswer: 42018033*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(5\/6))**8*h**6*h*h**(-1\/8)*h assuming h is positive.\nAnswer: h**(541\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + -1444064225?\nAnswer: -1444064231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 304 + 210?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, w: 2, r: 2, q: 1, l: 2}. What is prob of sequence ql?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 - (12 + -47 + 33).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 268\/6*9\/6. Suppose 4*b - 4*d - 125 - v = 0, b - 48 = -4*d. Calculate the greatest common factor of 32 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2241779, -4483532, -6725259, -8966960, -11208635?\n\"Answer: 13*h**2 - 2241792*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 25*0.07\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**3\/2 - 113*z**2\/2 + 8*z + 3. Let w be x(41). Calculate the highest common divisor of 12 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 241065928 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -25, -20, -11, 2?\n\"Answer: 2*c**2 - c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-22)\/88 - 17\/(-4). Let i = 0 + 0. Solve -m*h + 2*h - 6 = i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11191629 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -129\nAnswer: 0","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 jijgjjujggjljjjlgg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - -11804219925286.\nAnswer: 11804219925286.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108 = 807*n - 823*n + 68 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 - 7*r**2 + 5. Let h be a(-7). Let v = h + -4. Is 5\/(10\/84)*v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4185 - 3*f**2 - f + 12561 - 4183 - 3*f**3 - 4178 to y*f**3 + r + o*f**2 + x*f and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -450 = 4*g + 26*g. Let f be 1*(-12)\/g*(-10)\/(-4). Solve 4*s = -f*l + 3*l + 13, 4*l - 5 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -y**4\/4 + 14*y**3 - 222*y**2 + 728*y - 676 = 0.\nAnswer: 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3\/4, -0.04, -0.3 in descending order.\nAnswer: 5, -0.04, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41 + 36. Let g(r) = r**2 + 3*r - 4. Calculate g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.4 + 0.6. Which is the closest to 0.1?  (a) g  (b) -1  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 278\/99 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/11 - (-84)\/22. Suppose 12 = 4*u - i. What is the smallest common multiple of u and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 349 = 495. Is 421 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7981 and 84.\nAnswer: 8065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2360 + 9439\/4. Let y = -1.1 - -6.1. Which is the nearest to z?  (a) y  (b) 0.2  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u - 1. Let i(a) = a**3 - 2*a**2 + 3*a - 3. Let s be 4 + (12\/6 - 3). Give s*x(r) - i(r).\nAnswer: -r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v**2 - v - 13. Let u be 10\/8*(2 + 2). Is i(u) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2064 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 225267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**3 + 3*a**2 + 3*a + 2. Suppose 4*f - 5*f + 3 = 0. Suppose 3 = -y + f*s, -4*y + 2*s = -y - 5. Let l be -4*(y\/2 + -1). What is x(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 2 - 33)*(-2 + 2 - w**2).\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + 1 + 3 + -11. Let p be 1*-5*4\/c. Suppose -4*l + 2*l - 5*u + 317 = 0, -485 = -3*l + p*u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 356 (base 14) to base 12\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 226e + 5?\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 6556743.24 to the nearest one hundred thousand.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -71101 plus -0.2186?\nAnswer: -71101.2186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -284401*q**5 + q**4 + 2*q**3 + 4*q**2 + 2*q + 17270.\nAnswer: -17064060*q**2 + 24*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1950)\/104 - -19)\/((-2)\/104)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 125276, 249639, 374002, 498365, 622728, 747091?\n\"Answer: 124363*s + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (99 - 92 - (9 + -1) - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -2*d**5 - 6129*d**4 + 114061*d**3 - 30978*d**2 - 456212*d + 221976 = 0.\nAnswer: -3083, -2, 1\/2, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 12) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = q - 3*z, -q - 2*z + 1 = 2*q. Let c = -0.05 + -0.05. Is q smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 1 + 0 - 7*x - 8*x**2 + 2*x - 4 - x**3. Let s be f(-7). Let i = -10 - s. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 5)*(5*b + 8 - 8) - 13 + 13 + 68*b - b - 2*b + b.\nAnswer: 71*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 260.4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uduxxddxd. What is prob of picking 1 d, 1 x, and 1 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 555151, 555125, 555095, 555061?\nAnswer: 555023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r + 8. What is the smallest common multiple of 18 and c(4)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b = 5*b + 780. Suppose 0 = 5*f - 0*f + 5*u - 390, 2*f = -4*u + b. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14629 - 351199\/24. Let d = 45137\/24 - 5654\/3. Calculate the common denominator of a and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 11\/2, 0.037, -32, -1?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 261000323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*c, -2*c + 618133 = -3*k + 2*c. Let w = 3306039 + k. What is w rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/2 - (5 + 1). Let f = c - -11. Find the common denominator of 122\/f - 1*-2 and -33\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/2971430 and 21\/6070207.\nAnswer: 424914490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1030239 and 45583?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -487.29 + 487. Which is the fourth biggest value?  (a) 3  (b) t  (c) -0.4  (d) 0  (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -39.23159392 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by 53.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 344251020?\nAnswer: 2, 3, 5, 17, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -726 - -729. Let c be (-4)\/4 - 20 - -2. Let u = 15 + c. Sort -5, 1, t, u.\nAnswer: -5, u, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 8:58 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-15)\/45)\/(1\/(-3)). Solve -z = 1 + w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(68)\/sqrt(4) + ((sqrt(17) + -2)*-4)**2.\nAnswer: -63*sqrt(17) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a century in decades?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2804*x**2. Let m(r) = -r. Determine m(k(v)).\nAnswer: 2804*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 11 = -2*i, 5*i - 14 = -b - 2*b. Calculate the lowest common multiple of b\/(-3)*(-3 + 2) and -2 + -2 + -5 + 4 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 - -48. Let d be 5\/((-40)\/(-17984)) - -8. Is z\/156 + d\/39 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of -3*a**2 + 4*a - 31. Give y(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 1 = 9*h. Which is the third smallest value?  (a) h  (b) 0.5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4 and 4.986.\nAnswer: 5.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-4)\/m**(3\/4)*(m*m*(m**(-17)*m*m)\/m)\/m**16 assuming m is positive.\nAnswer: m**(-139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58 and 4613878.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/(-30)*12*(-1)\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -124 - -260. Calculate the remainder when s is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -1 + 0 + 5*g**2 - 2*g + 3*g**2 - 4*g. Let n = -12 + 6. Let b(q) be the second derivative of -q**4\/12 + q**3\/6 - 25*q. Determine n*b(t) - y(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -39, 2, 5 in descending order.\nAnswer: 5, 2, 1, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -169.366 to the nearest integer.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71741 - 71735 + 215174 - 9*v**2 - 71698 - 16*v**2.\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/582214286?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2236 + 4389. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(2\/11)*j**(-1\/7)*(j\/(((j**2*j)\/j)\/j)*j*j)**(16\/3) assuming j is positive.\nAnswer: j**(2473\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 3*j**2 + 2*j - 4. Suppose 0 = -2*q - 3*d + 1 - 15, 6 = q - 5*d. Let r be 5\/(10\/q) - 2. Give a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -4*k - 0*k. Let m = 6 - k. Let v be (m + 0)\/(3 - 4). Sort 3, v, 0.\nAnswer: 0, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/48 and -5\/10321086?\nAnswer: 82568688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 86424 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 13867007*c - 8. Let m(l) = 2*l. Calculate f(m(b)).\nAnswer: 27734014*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -641, -764, -885, -1004?\n\"Answer: g**2 - 126*g - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 63 - 51.4. Let t = k - 11.5999968. Round t to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*d + 3*d**3 + 84 - 2*d**3 + 83 - 164.\nAnswer: d**3 - 19*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -3, 3*r = 3*l + l - 7. Let q(c) = -c**3 - 11*c**2 - 7*c + 12. Let g be q(-10). Let i be 2\/6*g\/(-2). Solve t + 13 = i*o, 2*o + t = l + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 12, l: 2, f: 3}. Give prob of picking 2 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3379708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 863\/(8\/2 + -3). Let o(t) = 4*t + 33. Let v be o(-7). Suppose g - z = -4*d, 3347 = 7*g - 3*g - v*d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -385*p**3*r**3 + 2*p**3*r + 4*p**3 - 432*p**2*r**3 - 2*p**2*r**2 + 53*p**2*r - r**4 - 7*r**2 wrt r.\nAnswer: -2310*p**3 - 2592*p**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 5*u - 34, -3*u + 6556 - 6589 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -80035*c**2 + 13*c. Let s(l) = -l. Give s(k(i)).\nAnswer: 80035*i**2 - 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 6903531 and 6903531 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(150)\/sqrt(3)*-5)\/(sqrt(10) + sqrt(10) + (2*sqrt(100))\/sqrt(10)))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 224?  (a) -4  (b) -1\/8  (c) 3\/7  (d) -1.4  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 0 + 1\/20*i**5 + 0*i**3 - 4*i + 1\/12*i**4 + 2*i**2. Determine g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 4)*(1 - u - 1) - 2*u + 2*u - 2*u - 6*u - 2*u - 3*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(4\/7)*d*d**7)\/(d\/d**(-4\/3)*((d\/(d\/((d\/((d\/(d*d**(-1)))\/d)*d)\/d)))\/d*d)\/d))\/((d\/(d\/d**(-2)*d))\/d*d**(-2\/29))**(-5\/7) assuming d is positive.\nAnswer: d**(2029\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 - 12*l + 13. Let c be (2 + 6)*-1 - 3. What is the remainder when 45 is divided by o(c)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6.3 - 6. Let z = 14 - 12. Let g = 0.1 - 2.1. What is the closest to g in y, 2\/17, z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(15)\/(2*sqrt(75)) - ((sqrt(125) - sqrt(125)*2) + 3)**2).\nAnswer: -670 + 301*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/165 and 26\/8985.\nAnswer: 98835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from woowwwowoo. Give prob of sequence ow.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25097340?\nAnswer: 2, 3, 5, 418289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22 + 1111201121211001?\nAnswer: 1111201121211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 8*j - 10*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -332.9074607\nAnswer: -328.9074607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 512586.\nAnswer: 2, 3, 28477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 23\/(-2) - (30 + -40). Which is the nearest to -0.1?  (a) y  (b) -5  (c) 2\/11  (d) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1177*d - d**2 + 1169*d + 1179*d - 9*d**4 - 3505*d + 1 as r*d**3 + l*d**2 + j*d + g*d**4 + t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m + 2*m - 12. Let y be ((-3)\/m)\/(2\/(-16)). Is 11 a factor of 111\/y - (-1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 433919*c**3*i**2 - c**3*i - 2*c**3 + 38*c*i**2 - 9897*c wrt c?\nAnswer: 2603514*c*i**2 - 6*c*i - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 546679 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l**2 - 6*l**2 + 3*l**2 + (-2 - 4*l**2 + 2)*(0 - 3 + 4) to the form p*l + y*l**2 + b and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*3\/(-12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2183894, -2183839, -2183784?\nAnswer: -2183729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14751750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -3*a - 14. Calculate y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 16, -1, 3\/292, -1\/6, -20?\nAnswer: 3\/292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-6))\/((-26)\/(-1716)). Does 19 divide (-110430)\/(-297) - (-4)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + c + 0*c)*(16 - 3 - 3)*(-2*c + 1 - 3*c + 6*c + (17*c + 18*c + 0*c)*(-2 - 1 + 1)).\nAnswer: 690*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -933646, -1867343, -2801044, -3734755, -4668482, -5602231, -6536008, -7469819?\n\"Answer: -n**3 + 4*n**2 - 933702*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39128156 divided by 4.\nAnswer: 9782039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -9\/74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.014747354 and 10.7?\nAnswer: 10.714747354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(4*-2*sqrt(1900) + 2))**2*1 + -4.\nAnswer: -2880*sqrt(19) + 1094432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12422 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: Round 0.37469 to three dps.\nAnswer: 0.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by 5\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + (6*(sqrt(45) + (sqrt(45) - sqrt(180)\/sqrt(4)))*-3)\/((sqrt(18) - sqrt(90)\/(sqrt(5)*-2))\/sqrt(2)))**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**4 + 32224*a**3 - 6*a**2 - 2*a + 6515 wrt a?\nAnswer: 24*a + 193344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25558 is divided by 2559.\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + -420?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1372 is divided by 197.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (44\/(-66))\/(1\/21). Let w = -10 - i. Suppose 0 = 4*g + 5*q - 55, 0 = w*g - 2*g + 5*q - 25. Solve g = -7*r + 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 0 = x - 2, -4*x - 3*v = -17. Solve -5*b - 23 = 4*k, 5 = -3*k + 8*k - x*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 80455336 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (741\/(-52) + 14)*(-3)\/((-18)\/30).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -136\/9, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**27\/g*g)**(-7\/8) assuming g is positive.\nAnswer: g**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 12 = 0, -t + v - 52 = -3*t. Suppose -4*q - 46 = -2*a, -2*a + 3 = -2*q - 19. Let p = q + t. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 271 and 69.7.\nAnswer: 18888.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vssv when four letters picked without replacement from {s: 3, v: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 19687876.76 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 285a + 6?\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of -13*h**4\/2 - h**3\/3 + h - 7. Determine o(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001108777 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (1582\/113)\/((-380)\/(-5))*8\/(-42)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 318216*w**2 + 255*w**4 - 318218*w**2 - 33*w**4 + 4*w wrt w.\nAnswer: 5328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.2, -2\/9, 0.33?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - -3*sqrt(77)*1) + (sqrt(77) - (sqrt(77) - 1*(sqrt(77) + sqrt(77)*-1))))*-3)\/((sqrt(700)*-2 - sqrt(700))*4 + sqrt(700)*1*-5).\nAnswer: 3*sqrt(11)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 0. Let o be (2 + 13\/(-8))\/((-36)\/24). Which is the closest to o?  (a) -4  (b) 0  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -272486.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 77*b*w**2 - b - 542*w**2 wrt b?\nAnswer: 77*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*i**2*o + 4132*i**2 - 3*i*o + 48*i - 1150*o + 11285 wrt i?\nAnswer: 6*i*o + 8264*i - 3*o + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -35 - 15. Let v be (196 - 6) + r - 0\/1. Let i be 24 + 9\/(-3) + 4. What is the highest common factor of v and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**5 - 426*k**4 - 15114*k**3 + 1272*k**2 + 44517*k - 30246 = 0. What is k?\nAnswer: -71, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1020 (base 7) to base 6\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3 + 1202*v**2 - 1280*v**2 - 3*v**3 - 2542*v**2.\nAnswer: -5*v**2*(v + 524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.51 + -0.01. Let k be (-20)\/(-231) - (2 + 352\/(-168)). Which is the third smallest value?  (a) -3  (b) 2\/7  (c) g  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 10*j - 15*j. Solve 0 = j*v + 2*v - 3*w + 14, -3*v + 5*w = 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and -0.3731.\nAnswer: 1.6269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**2 - 4*n + 12. Let r be g(-5). Let l = -6 - r. What is the greatest common divisor of 96 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10834156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2)*-2*4 + (sqrt(48) + sqrt(12) + sqrt(12))\/sqrt(6))*-6.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3 - 299*g + 51*g + 38*g - 587*g to the form q + j*g and give j.\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2131 + 23020131113?\nAnswer: 23020133310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 + 46*y + 552. What is x(-24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*v**5 + 952*v**4 + 6060*v**3 + 3680*v**2 - 2132*v - 672 = 0. Calculate v.\nAnswer: -21, -8, -1, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -27612 (base 13) in base 11?\nAnswer: -50276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12224 and 4966?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of y**3 + 11*y - 2*y + 6*y**2 + 2 + 3*y. Factor w(r).\nAnswer: 3*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1798 + 1793.1. Let d = 43.4 - 34. Let p = i + d. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337640.\nAnswer: 2, 5, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*b + 17 - 6 - 11.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -12. Suppose -1 = -u*c - 4*t, t + 3 = 5*c + 3*t. Suppose 4*v - c = 15. Solve -k + v = 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -18*g**3 - 7*g**2 + g - 1. Let d(s) = 37*s**3 + 13*s**2 - 2*s + 2. Let y(f) = 6*d(f) + 11*x(f). What is the units digit of y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4 and 10057 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 66\/(-99) + 46\/6. Suppose -s*l + 67 = -3. Solve -4*q + 2*x - 18 = 0, -x + l = -q - 6*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 1:11 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 + 4*o**2 + 2*o - 1. Suppose 18 = 2*a - 0*i - 4*i, 0 = -a - 3*i - 6. Suppose 8*h - a = 9*h. Calculate d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 12:16 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-2\/9)*j\/(j\/(j*j*j**(-4\/5)*j*j)))\/(j**(-7)*j**1))**(-1\/4))**(3\/25) assuming j is positive.\nAnswer: j**(-101\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of n**5\/20 + 7*n**4\/6 - n**3\/3 + n**2 + 10*n. Let z be d(-14). Suppose -3*v + z = -2*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f**2 + 9*f**2 - 7*f**2 + 602250*f + f**3 + 1.\nAnswer: f**3 + 602250*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.06, -0.1, -3, -20\/9, 123?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 65 and 1.2?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 3*b - 9 = 0, 2*j - 4*b + 1 - 11 = 0. Let c(o) = -3*o**3 - o. Let s(u) = -u**3. Determine j*c(r) - 2*s(r).\nAnswer: -r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 5602 - 5586 = -2*w, -4*d + 32 = -2*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -9, -1, -3\/8, -238, -0.2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(3*(-1)\/(-18)). Let o = 38 - b. Let f(r) = -2*r + 3. Calculate the remainder when o is divided by f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = -356 + 1828. What is the derivative of q*u - 24 + 15 + u wrt u?\nAnswer: 185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (71302*y - 1174*y**5 - 71302*y)*(-2 + 6 + 1).\nAnswer: -5870*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14 - -34?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.0649  (b) 0.14  (c) 966  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 15 = -5*t, -2*t - 3 = -9*x + 8*x. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 95 - 89. Let g = p - 19. Which is smaller: -10 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c - 4 + 0*c - 5 + 7*c**2 + 0*c**2 + c**3. Let l be m(-7). Let f(o) = -5*o**2 + 4*o**2 + 0*o**2 - 2*o**3. Determine f(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16.7172 - -0.7172. Let t = 5 + -4. Which is the biggest value?  (a) o  (b) t  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 0 = 3*k + 16, 0 = -9*k - b + 32. Solve -4*o - 21 = 5*m, 0 = -3*m - o + k - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -20*x**3 + x**2 + 2*x + 1. Calculate k(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 125946881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 37700 (base 9) to base 15\nAnswer: 77a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -73, -61, -63, -85, -133, -213?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-78)\/4)\/((18\/4)\/3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 79*g**2 - 1193*g - 274. Let h be k(92). Suppose 0 = 3*r + r - 8. Suppose h*t - t = r. Solve t = -v + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*k - 164\/9 + 2\/9*k**2.\nAnswer: 2*(k - 1)*(k + 82)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-7) + (-2)\/7. Let w(g) be the first derivative of 49*g**2\/2 - g + 15. Let f be w(p). Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 48 - 489. Is (-1)\/2 + s\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8031647 * -0.192.\nAnswer: -1542076.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(-44)*(z*z\/(z**(30\/13)\/z))\/z*(z\/((z**(-7\/4)\/z*z*z*z)\/z))**(-48) assuming z is positive.\nAnswer: z**(-1655\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 3*l + 5. Let v(i) = -4*i + 18. Let k(r) = 11*r - 52. Let w(h) = 6*k(h) + 17*v(h). Determine 6*c(t) + 5*w(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 1 = 4*d, -4*k + 11 = 3*d. Calculate the remainder when 3 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472006995 to the power of 1\/2, to the nearest integer?\nAnswer: 21726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -5*d**3 - 7*d**2 - 10*d - 3. Calculate p(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q**4 - 1984*q**3 + 74282*q**2 + 1694284*q - 689472 = 0. What is q?\nAnswer: -16, 2\/5, 81, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-46)\/36 - -1*(-3)\/(-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f\/(f*f*f**(2\/9)))\/f*f)\/f**(-1))\/(f\/(f**(-4)\/f)*f*f*f**(-1\/9)) assuming f is positive.\nAnswer: f**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.7 - -7. Let t = 5.2 + 1.8. Let j = t + -6.8. Put -1\/6, b, j in ascending order.\nAnswer: -1\/6, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 783963809.\nAnswer: 23, 521, 65423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 - 2)*(-182 - 118 + 85)*(-2*f**3 + 6*f**3 + 2 - 7*f**3) in the form s*f**3 + l*f**2 + x*f + j and give s.\nAnswer: -3225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*d*d**1*d)\/d)**(3\/10))**12\/(d**(-7)\/(d*(d*d\/((d**(-6)\/d)\/d)*d)\/d)*d**3*d\/(d**3*d)) assuming d is positive.\nAnswer: d**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/((-64)\/6)*(2 + -6). Suppose 12 = 3*j - w + 4*w, k*j + w = 10. Find the second derivative of 26*t**5 - 14*t - 8*t**3 + 8*t**j + 5*t**5 wrt t.\nAnswer: 620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 5*q - 11*q. Solve -2*z + 5*o - 14 = q, 2*z - 2*o + 3 = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111561 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -186, -209, -260, -351, -494, -701, -984?\nAnswer: -1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 264057556 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -220*v**3 + 43588\/5*v**2 - 194\/5*v**4 + 6\/5*v**5 - 20250 + 57870*v = 0.\nAnswer: -9, 1\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of u**8\/2240 + u**7\/1120 - u**6\/240 - 2*u**3\/3 + 2*u. Let x(j) be the second derivative of w(j). Factor x(t).\nAnswer: 3*t**2*(t - 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 12, 0, -36, -96, -180, -288, -420?\n\"Answer: -12*v**2 + 24*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 - 131 = 23*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**4 + f**3 + f**2 - f. Let l(j) = j**4 - j**3 - j**2 + j. Let b(c) = l(c) + 2*w(c). Find d, given that b(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 + 22. Let w(s) = 21*s**3 + 4*s**2 - 5*s - 5. Is w(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 197*n - 123*n**2 - 194*n + 2881 - 42*n**2 wrt n?\nAnswer: -330*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 7*t = 3*t + 242, 5*t - 109 = -q. Suppose -q = -21*r + 18*r. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*u - 63 + 62 + 4*u)*(-u - 3*u - 2 + 2*u) to the form m*u + p*u**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 6:32 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, l: 13}. Give prob of sequence lpl.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z + 0*z + 2*z**2 + (3 - 5 + 5)*(-2*z**2 - z**2 + z**2).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/375196720 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -12. Let l(d) = d**3 + 4*d**2 - 5*d + 1. Let m be l(-5). Sort m, 3, t, -5.\nAnswer: -5, t, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4, 0*u - 5*g - 23 = -u. Suppose 0 = -u*l - l + 92. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 1\/3, -3, 1\/24, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 12*z**2 - 4*z - 53. Give u(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 = -d - 3*d - 5*v, 3*d - 4*v = 105. Let n = -25 + d. Let w = n + -7. Calculate the lowest common multiple of w and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 + 1111914*c + 31131240.\nAnswer: 3*(c + 28)*(c + 370610)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12\/(-2) - 1 - (-108)\/27. Sort 2, i, -2, 37.\nAnswer: i, -2, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-239)\/(-3) + 4\/(-6). Differentiate 77*y**2 + 1 - 7 - c*y**2 wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001197969 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1841 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*q = 40. Suppose 0 = 5*b + 5*u - q, 3*b - u = -0*b - 2. Let f(r) = r + 6400. Let s be f(b). What is s rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78529.7 centuries to millennia.\nAnswer: 7852.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -10d5?\nAnswer: 10d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01797186511 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*(2 - 71\/3). Let n = q - 30. Suppose -w - 16 = -34. Calculate the remainder when n is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10187*k*x**3 - 3*k*x + 15*k - x**3 + 15576*x**2 wrt k?\nAnswer: 10187*x**3 - 3*x + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-24))\/(14\/(-8)). What is the second biggest value in 1, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108578 is divided by 811.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96872*j + 47473*j - 125439*j - 25576*j - 104037*j.\nAnswer: -304451*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 3 = 2*m, 4*m + 0*m + 5*f + 1 = 0. Suppose m = -n + 3. What is the third derivative of -7*i**2 - 5*i**3 + n*i**3 + 3*i**2 + i**2 wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 3*x**2 + x - 5. What are the prime factors of s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 9*v**2 - 9*v + 13. Let q be i(-10). Suppose 0 = -q*c + 2*c + 4. Suppose c*o = 20 - 8. Solve y + 12 = -o*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86\/(-8) - (-3)\/(-108)*81 - (-2 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 43*x**2 + 1. Let i be h(-1). Let o be (4 - 7) + 130\/i. Let u = -16\/11 + o. Which is the second biggest value?  (a) 0.4  (b) 2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.83 * 322.\nAnswer: -1233.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 236654425 - 3?\nAnswer: 236654422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 583 = 653. Put -2, f, -1, 3 in increasing order.\nAnswer: f, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 12:11 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -3*q**2 + 134*q - 556. Let m be k(40). Let v be (0 - 1)*2\/(-1). Suppose 4*f = v*f + 14. Solve -m*z - f = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21106 + 53719. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 112460471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3997412 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4402 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -0.236  (b) -2  (c) -0.01  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-10)*(-16)\/(256\/(-1640)). Suppose 0 = -x*w + 2*w - 351. Let i(b) be the third derivative of b**4\/24 + 2*b**3\/3 - b**2. Calculate i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-4)*n**(-7))**(13\/3) assuming n is positive.\nAnswer: n**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = -s - 3*v, -3*v = -v + 10. Let u be (-32)\/(-80) - s\/10. Let n = -0.67 - 2.33. What is the closest to n in 0.3, u, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 595 and 1445?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.09021 and -274.\nAnswer: 298.71754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -6. Put 1, -5, u in increasing order.\nAnswer: -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*l + 11. Solve 4*x - g = 11, -6*x + l*g + 7 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-6) + (-245)\/42. Let w be (-9)\/u - (-1)\/2. Let m be (2 + -2 - 0)\/w. Solve t = -m*t - 4*i - 2, -5*i = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 4:20 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*l + 28*l - 894 + 489 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -52 + 109. Suppose -i = -0*v - 3*v. Calculate the remainder when 53 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2796, 12256, 21720, 31188, 40660, 50136, 59616?\n\"Answer: 2*u**2 + 9454*u - 6660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 12) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 7:00 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*h**3 - 2 + 245*h**3 - 34*h**3 - 52*h**3.\nAnswer: 127*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c = 9*c + 3291. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 131 - 9673?\nAnswer: -9542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/3)\/(2\/(-5904)*2). Suppose j = 29*w - 32*w. Let o = w + 1813. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 213700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1026 + -1505. Let d = s - -1439. Does 80 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + 58c749?\nAnswer: 58c74c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7067 is divided by 220?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.445*686.\nAnswer: -305.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*2\/((-16 - 34)\/(-9 - -1))?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137387536 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 4*y**2 - 5*y + 9. Determine l(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of 13*b**6\/2 - 11*b**3\/3 + 41. What is the third derivative of h(w) wrt w?\nAnswer: 2340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -416*k + 5838 = k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + 0*b + 0*b)*(-22 + 6*b + 22)*(26891 - 26891 + 147*b).\nAnswer: -882*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/254 and -28\/127.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5432387 is divided by 192?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 6:45 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -16243?\nAnswer: 1624.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*u**2 + 5*u**2 - 2*u**2 - 3*u**2 in the form g*u + c*u**2 + o and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9632340 and 4720.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 74*m**3\/13 - 451316*m**2\/13 - 3223898*m\/13 - 427420\/13 = 0.\nAnswer: -7, -5\/37, 6106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3044169, -4\/19, 5\/4, -0.5?\nAnswer: -3044169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 14, -0.2, 2\/11.\nAnswer: -0.2, 0.1, 2\/11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 531.1 and 95.\nAnswer: 50454.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 9*d + 1. Let m be g(-8). Let p be -3 + (3 + -7 - m). Suppose 4*a + p = -h + 26, -5*h + 3*a = -176. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 94432?\nAnswer: 661024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of 3\/2*j**2 + 1\/30*j**5 + 0*j**4 - 1\/3*j**3 + 2 + 0*j. Let h(n) be the second derivative of r(n). Factor h(s).\nAnswer: 2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 9:57 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 52 + -52.4. Put -0.1, 2, 1, a in ascending order.\nAnswer: a, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -85 + (5 - (-21 + 21 - (10 + (-2 - -3)))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32 - -34. Suppose 5*t - x*t - 69 = 0. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*y + 2*y - y)*(0 + 0 + 1) + ((-16*y - 4*y - 12*y)*(-1 + 0 - 1) + 5*y - 2*y - 2*y)*(-1 - 2 + 1) to q*y + d and give q.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02534 rounded to three decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -2*v. Suppose -3*s + 273 = -v*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - u - 3*u + 120 = 0, -4*x + u = -125. Solve -4*n - 16 = 4*o - 3*n, 3*o - 4*n = -x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -120597 (base 11) in base 3?\nAnswer: -100201001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + 1)\/(2\/3). Suppose 0 = m*z - 5*z + 6. Let y(j) = -j**3 + 2*j**2 + 3*j + 1. Let l be y(z). Solve -2*v = c - l, 3*c + 4 = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hsjhhhshsjjhhshh. What is prob of sequence sjj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 13) + 33 + -15 - 7 - -109.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -944, 3, 17, 41 in descending order.\nAnswer: 41, 17, 3, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13668881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -317*n = -316*n - 5147. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m**3 - 3*m**2 - m + 2. Calculate a(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 85\/(-20)*2\/4. Let m = -23\/4 - s. Calculate the common denominator of m and -46\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 334*m + 986*m - 14520 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 607*j**2 + 4*j + 11. Let u(p) = -609*p**2 - 3*p - 9. Give 5*n(s) + 6*u(s).\nAnswer: -619*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {h: 1, w: 2, l: 1, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 816 in -0.1, 0.1, 0.4, -4, -89?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 - 47 - 20*y**2 - 10 + 25.\nAnswer: -20*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0  (b) -3\/4  (c) 1\/4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 4 + ((-8)\/2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16110 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 421895378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 5*y - 2. Let r(w) = 5*w - 3. Let a(x) = 2*r(x) - 3*u(x). Is a(-4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 237547 and 0.2.\nAnswer: 237547.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1040, 4036, 12484, 24304, 39496, 58060, 79996?\n\"Answer: 1686*l**2 + 18*l - 2744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 168217 + -179.227\nAnswer: 168037.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*y - 26*y + 4896. Suppose y + 1008 = 6*l. Suppose -4*n + l = 4*c, 624 - 86 = 5*c + n. List the prime factors of c.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 7, g: 7, w: 2, z: 2}. Give prob of sequence wn.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6889 + -6854. Calculate the remainder when 1452 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 - -7 - -7 - 38\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - sqrt(20)*2)**2 + -2.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3*v**2 - 4*v + 1. Let t be z(1). Let n = -267 + 267.01. What is the nearest to 0 in t, n, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4979357051 rounded to 4 dps?\nAnswer: 0.4979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21*p**3 + 6*p**3 - 4*p**5 + p**5 - 7*p**5 - 507*p**2 - 106*p**3 wrt p?\nAnswer: -600*p**2 - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 4 + 8)*(19*i**3 - 26*i**3 - 34*i**3) + 3*i**3 - 5*i**3 + 4*i**2 - 5*i**2.\nAnswer: -43*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 667730 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: Calculate -17 divided by 2154.\nAnswer: -17\/2154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/295 - -197\/1062. Find the common denominator of 67\/27 and f.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 3*q**2 - q + 1. Let c be (-2)\/4 + (-6)\/4. List the prime factors of f(c).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2\/11, -1, 1.7 in decreasing order.\nAnswer: 1.7, -2\/11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from mgugcmuymumcmmt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2 - 92328*b + 92325.\nAnswer: 3*(b - 30775)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23033 + 1042?\nAnswer: -21441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -14\/5*l**5 + 0 + 72*l + 0*l**3 + 2\/15*l**6 + 0*l**2 + 49\/3*l**4. Factor j(v).\nAnswer: 4*v**2*(v - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2587*q + 52184 = -4959*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -623*x**3 + 3*x**2 - 3*x + 10. Let v(w) = 2*w**3 + w**2 - w + 3. What is j(t) - 3*v(t)?\nAnswer: -629*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -71 - -75. Let h be f\/4 + 13\/(-5) - -1. Which is the closest to -1\/2?  (a) -1\/7  (b) h  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23692, 23695, 23698, 23701?\nAnswer: 23704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 97, 1, 33249, -5 in decreasing order.\nAnswer: 33249, 97, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aauuaxuaxuaxxuauu. What is prob of sequence xa?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 708*d**2 - 1077.\nAnswer: 1416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1981.1 + 1982. Sort -1, -4\/5, o, -18 in increasing order.\nAnswer: -18, -1, -4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 5.2  (b) -2  (c) -3  (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 11*r - 34. Let o be m(-14). Solve o = l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 106*s**2 - 3*s - 4 - 1 + 64*s**2 + 7 + 10*s**2.\nAnswer: 180*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -779*s + 43 - 42 + 102*s as p + q*s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that g**5 + 121*g**4 + 4919*g**3 + 70391*g**2 + 126504*g + 60912 = 0.\nAnswer: -47, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-10))\/(12\/15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*d - 125858 = 0. Let c = -222858 + d. Round c to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - j + 8862, 261*u + 4*j - 6666 = 258*u. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000025544 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2841 + -2837. Solve -z*c + 9*c - 21 = 4*i, -5*c - i + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133579 = 239*b - 20661 - 39828. Which is smaller: 810 or b?\nAnswer: 810","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56\/(-336)*1\/((80\/(-5))\/4).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-2))\/(10\/110).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -293053, -293057, -293071, -293101, -293153?\nAnswer: -293233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-2\/9))**26\/(v\/v**(-3))**(-22) assuming v is positive.\nAnswer: v**(1078\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18620\/1787 - 268783198\/26805. Let q = 10013 + n. What is the common denominator of q and -25\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23 smaller than -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44 + 46. Suppose 1011 = 3*l + a*y, l - y = 2*y + 337. What are the prime factors of l?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 5*o - 1 + 143*o**2 - 140*o**2 + 6 + 2. Let q be g(-2). Find the third derivative of 1 - q*u**2 - 1 + 5*u**3 - u**3 wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220687104 is divided by 187?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 312771373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(342)*-2 - ((sqrt(228) - (sqrt(228) + sqrt(228) + -2*sqrt(228))) + sqrt(228))\/sqrt(6))\/(2*sqrt(18)\/(sqrt(18)\/sqrt(2)))*1)**2 + -5.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 3383.1 to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28.51*5.\nAnswer: -142.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-one quarters of a litre in millilitres?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-12 - -1 - ((-10 - 18) + 14) - 33).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.65 times -2400.0866?\nAnswer: 1560.05629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 301341344 (base 5) in base 13?\nAnswer: 33002b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**2 + 23237148*r + 92948528.\nAnswer: 4*(r + 4)*(r + 5809283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -134.3 - -122. Let q = w - -0.3. Let t = q + 11.99945. What is t rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 25 = z + 4*z, 0 = -l + 5*z - 7. Let s(k) = 2*k**2 - 6*k + 4. Let a be s(l). What is the nearest to -1\/2 in 3\/11, a, 1\/2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j*j\/(j*j**(-1\/8)*j*j)*j)*j*j*(j*j*j**(1\/3))\/j*j)**30*(j**(-2\/3))**19\/(j**6*j*j**(4\/7)*j) assuming j is positive.\nAnswer: j**(13861\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 + -5)*2*-1 - (94 + -106).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0397 and -8671?\nAnswer: -344.2387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 45278835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4\/7 + 3756980*t**3\/7 + 336069196056*t**2 + 491014459010440908*t\/7 + 491012106529825494\/7.\nAnswer: 2*(t + 1)*(t + 626163)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 8695 + n - 2*n - 8710 as y + p*n and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 30*d + 18. Suppose 0 + 6 = 6*i. Let m be s(i). Calculate the greatest common factor of 132 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1058550033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -110 - 10498?\nAnswer: -10608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(1331))**2*3 + sqrt(1331) - sqrt(1331)) + 4*(3*sqrt(1331))**2.\nAnswer: 111804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2771 by 1.\nAnswer: -2771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 347*o + 94*o - 75*o + 19431 = -15*o for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 18 = -4*p, -2*p - 57*o = -60*o - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1781*b + 1038*b - 1634*b + 66360 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 23*f + 1240. Let h be l(-52). Solve 2*j - 48 = -h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (100\/(-3))\/((-10)\/30). Suppose -5*w - n = -5. Let v = w + 24. Let m(k) = -k**3 + 5*k**2 - 5. Calculate m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -2305897?\nAnswer: 5\/2305897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 3 - 5)*(-4802*c + 9605*c - 4807*c + 45) as i + g*c and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r - 1. Let b(a) = -a**2 + 16*a - 2. Let x(y) = -b(y) - 4*w(y). Does 10 divide x(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 23*v. Let j be h(3). Let x = 702 - 633. Let c(o) = -x + j + o. Let q(w) = -9*w. Calculate c(q(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k + 10. Let q be o(8). Let x(y) = -2*y**3 - 5*y**2 + 1. Let z(d) = 3*d**3 + 6*d**2 - 1. Give q*x(g) - 5*z(g).\nAnswer: -3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 251 + -172. Suppose p = 13*g - 129. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -312*z + 310*z - 22, 8*z - 3*h = 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 78 - 2818*r + 37*r**2 + 2816*r + 104*r**2 - 161 + 2*r**3 - 392 wrt r.\nAnswer: 6*r**2 + 282*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4178 or -4179?\nAnswer: -4179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/24)\/((-905)\/2896)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -69 + 73. Solve -b*t + 12 = -8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 69 + -16. Let z = t - 35. What is the remainder when 55 is divided by 1\/(-6) + 255\/z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, o: 2}. What is prob of sequence go?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 0*u = 0. Suppose u = -6*p + 4*p + 8. Suppose 0 = 4*r + 2*n - p, -3*r = n - 2 - 0. Solve -4*v + 1 = -5*h - r, 2*v - 14 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 230*z**4 - 20*z**2 + 9.\nAnswer: 5520*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -4*t**3 + 0*t**3 + 6*t**3 + 2*t - 5*t**3. Let s(d) = -13*d**3 + 9*d. Let r = 14 - 23. Calculate r*y(w) + 2*s(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + -8. Let y(a) = -a**3 + 9*a**2 - 6*a - 11. Let g be y(8). Suppose 0*p - 15 = -g*p. Calculate the remainder when i is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 4*z**2 + 5. Let b be f(-4). Suppose 10 = b*l - 20. Let r(n) = -2*n - 9. Let a be r(-6). Solve -c - l = -a*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-43)\/473)\/((-1)\/11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 28380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/(-120*854\/(-4880)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - ((2 - 1) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - x = x - 4, 0 = 5*k + 3*x - 41. Let g = -32 + 30. Let q be (-13)\/g - (-12)\/(-8). Solve 0 = -2*s + k, 31 = o - 3*o + q*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95*i + 102*i = 5*k - 55, -2*k - 5*i = 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 12*v + 1370. Let t = 56 + v. Is -80 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 70340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 5*v**3 + 6*v**2 - 4*v - 6. Let a(o) = -6*o**3 - 7*o**2 + 5*o + 7. Give 4*a(i) + 5*d(i).\nAnswer: i**3 + 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -672, -668, -664, -660?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/3 + (-1 - -10). Let n(a) = 5*a**3. Let c(m) be the second derivative of 7*m**5\/10 + 3*m. Suppose -p + 2*p = -4. Give p*c(w) + t*n(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -1 + (8 - (-9 - -21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3799 + -3654333955.\nAnswer: -3654333955.3799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 108 + -97.1. Let b = 3.9 - i. Which is smaller: b or -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50867, -50830, -50751, -50618, -50419, -50142?\nAnswer: -49775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of 0*r**2 + 0*r**3 - 2*r + 0 - 1\/12*r**4. Let w = 14 + -17. Calculate c(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4060)\/2436)\/(((-4)\/(-580))\/((-1)\/((-100)\/(-24))))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-16))\/(30527\/17444).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {v: 3, e: 8, s: 4, u: 4}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2735616 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 78573161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -18 + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + t + 8, 4*t + 10 = -6. Let q be 3*(0 - g)\/(-1). Let j(v) = -v**3 - 6*v**2 - v - 6. What is j(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -4*m - 92. Let o(i) = -2*i - 51. Give -7*o(s) + 4*u(s).\nAnswer: -2*s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**7\/z*z\/((z\/(z*(z**4*z)\/z)*z)\/z*z)*(z*z*z**(-2\/9)\/z*z)**(-1\/4))\/(z**(-10)\/z**(-2\/21))**(-19\/2) assuming z is positive.\nAnswer: z**(-5326\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1738872 and 1932080?\nAnswer: 17388720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5*d = 2*d + 3271, -5*p - 2*d = -16355. Is p a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -44*t - 628. What are the prime factors of s(-63)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -g - 0. Let l = 29 - 18. Calculate the lowest common multiple of 6 - g\/6 - (-1)\/(-1) and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 702582 by 6.\nAnswer: 117097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -657280, 1, 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 93 + -94. Which is the nearest to j?  (a) -0.2  (b) 0.5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**3\/2 - 231*j**2\/2 - 963*j\/2 - 729\/2.\nAnswer: 3*(j - 81)*(j + 1)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*2\/8*-2. Let w be 2 + -13 + -5 + 4. Let l be (-3)\/w - (-21)\/(-4). Put d, l, 2 in decreasing order.\nAnswer: 2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -176*t + 163*t + 143 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/2 + 3 + (7 - 7)\/13. What is the nearest to r in -5, 1.1, 1.37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6, 5, 2.\nAnswer: -2, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -47 - -21. Let m = x - -31. Put 1, m, 2 in descending order.\nAnswer: m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 426 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4469, 444, 6 in descending order.\nAnswer: 4469, 444, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 12:56 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of 3*w**3 + 19*w**2 - 125*w. Let p be v(15). Which is smaller: 307 or p?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 150038 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-122 - -111 - (-6 + 2) - (12 - 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 + 2*x**2 + 5*x - 6. Let r be -3*(104\/13)\/(-8). Calculate y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -89*a + 93*a - 2*j + 300, -182 = 2*a + 3*j. Which is smaller: a or -1509\/19?\nAnswer: -1509\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 142621549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 49 + 60. Suppose -k = -9*o + 25. Solve o*y = -y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 746\/7 + -106. Factor -m*p + 2\/7*p**2 + 2\/7.\nAnswer: 2*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103 = 13*d - 23 - 71 - 76 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 139, 117, 95, 73?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 572494853.\nAnswer: 7, 673, 121523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 322 - 133. Suppose -p = -2*h + 11. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4554846, 4554837, 4554826, 4554813?\n\"Answer: -z**2 - 6*z + 4554853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -4. Let s be (c + -6)\/(3\/(-5)). Suppose 0 = 2*y + 5*k - 22, 1 = -3*y - 84*k + 85*k. Put s, y, 3 in decreasing order.\nAnswer: s, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 109316 or 109311?\nAnswer: 109311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 345989?\nAnswer: 172994.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009275 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-5 - -4)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 less than -31245?\nAnswer: -31245.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*-2)\/sqrt(11) + (sqrt(19) - 1*(sqrt(19)*-1)**2).\nAnswer: -19 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -50, -3740 in descending order.\nAnswer: 1, -50, -3740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of 11*f**7\/210 - 11*f**5\/15 + 155*f**4\/6 + 91*f**2 + 2*f. What is the second derivative of z(o) wrt o?\nAnswer: 132*o**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37 - 37 + 8*d**2 + 2*d)*(-4*d - 1 + 1).\nAnswer: -32*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 108 = 2*p. Let j = p + -63. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 12 - 15 = 0. Is 2338\/35 - (12\/(-10) + o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 7*h. Suppose 4*o - 5*c + 182 = h, 4*o - c + 188 - 14 = 0. Let q = 85 + o. What is the remainder when q is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.039823 - 21287.960177. Let m = f - -21287.39998. Let t = m - -0.6. Round t to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112792 = 21434*z - 16530*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 64*t**3 - 55*t**3 - 40*t**3 + 150*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2)*(-8)\/(11 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(11) + sqrt(99) - (3 + sqrt(176)))**2*5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -443 = -2*m + 17. What is m rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 + -5 + -2 + 2 + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 20 = -y - 4*y, 12 = -k - 3*y. Let x = k - -1. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*j - 490431 = 10*j + 336265. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 25*k - 4*k)*(-5*k + 3*k + k) + (-44*k + 14*k + 13*k)*(k + 0*k + k).\nAnswer: -53*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 211 - -23021013?\nAnswer: 23021230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p + l + 20, 3*p + 230*l - 16 = 229*l for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 2:50 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.4784 + 2.4784. Which is the closest to 0.22?  (a) 1\/23  (b) l  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 214\/9*z - 2\/9*z**2.\nAnswer: -2*z*(z - 107)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o**2 - 8*o + 20. Let f be r(7). Let w = f + -89. Let y be 82\/20 - (w + 2)\/6. Which is the fourth smallest value?  (a) -5  (b) 2  (c) -0.5  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13172.\nAnswer: 2, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/6 > 37594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*g + 1018*g - 522 = -6154 - 7583 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 4*z**5 + 212*z**4 + 612*z**3 + 604*z**2 + 200*z = 0.\nAnswer: -50, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven halves of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44047.\nAnswer: 17, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 47817304463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33891 and 6.\nAnswer: 67782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3150*l**5 - 32*l**2 + 498*l - 54 wrt l?\nAnswer: 63000*l**3 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41\/(-164))\/((-6)\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3 - 52*m**2 - 246*m + 1260.\nAnswer: -2*(m - 3)*(m + 14)*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 - 23. Let k = -197 + 191. Which is the second biggest value?  (a) 5  (b) 2\/15  (c) k  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3315.35555 - 3315. What is f rounded to three dps?\nAnswer: 0.356","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 5803\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6 + ((-63)\/7 - (-3)\/6). Let z = -4.7 + 5. What is the third biggest value in z, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**6\/(s\/(s*s**18*s)))\/(s\/s**(1\/45)*s**21*s) assuming s is positive.\nAnswer: s**(91\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 43.8 - -0.2. Let u = -47.8 + h. Let v = u + 4. What is the biggest value in 1, 0.1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35 divided by -63795\nAnswer: 7\/12759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -220857*g**3 - 670*g**2 - 27484785*g wrt g.\nAnswer: -1325142*g - 1340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 + 32. Is 6 a factor of (-7)\/(35\/y) - -16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, f: 2, d: 2, x: 1, b: 1, h: 1}. Give prob of sequence db.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-49)\/21)\/(-7)*-3 + 3. Factor 0 - 3\/4*w - 3\/8*w**b.\nAnswer: -3*w*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -320772379, -641544756, -962317131, -1283089504?\nAnswer: -1603861875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -469226*j - 2815279. Calculate o(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44256612?\nAnswer: 2, 3, 487, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 412*a + 21980030 - 21994038 = 0 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60381*f**3 + 1029*f**2 - 2569525*f - 3.\nAnswer: -362286*f + 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 - y. Let j(d) = 3*d**2 - 3*d - 7. What is 4*i(t) - j(t)?\nAnswer: -4*t**3 - 3*t**2 - t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6449357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42973\/16 + 2689. Find the common denominator of 111\/20 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6986, -2, 4, -3 in descending order.\nAnswer: 6986, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x*(x**(7\/2)\/x)\/x)\/x)\/x*x**4)\/(x**(5\/6)*(x*x*(x**(1\/8)*x)\/x*x)\/x*x))**(21\/8) assuming x is positive.\nAnswer: x**(91\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1089 + -1079. Let u(x) be the second derivative of -2\/3*x**4 + f*x + 0 - 2\/5*x**5 - 1\/8*x**2 - 5\/12*x**3. Solve u(q) = 0 for q.\nAnswer: -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 198\/(-16)*(-4)\/(-3). Let p = 16 + v. Let h = 467\/9 + -155\/3. Which is the nearest to h?  (a) p  (b) 0  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2421*w + 26. Let p be i(6). Round p to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - t + 110, -3*r = -7*r + 2*t + 88. Suppose 12 = 3*x, q = 6*q - 2*x - r. What is the units digit of (-5)\/((3\/(-1))\/q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)\/sqrt(2)*-2)\/sqrt(3) + 1.\nAnswer: -2*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 25010232 - -12?\nAnswer: 25010244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -112027, -224075, -336123, -448171, -560219?\n\"Answer: -112048*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/(-20)*35\/(-315).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 7*r**2 - 703*r - 735. Calculate m(100).\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 263877, 263878, 263889, 263916, 263965, 264042?\n\"Answer: i**3 - i**2 - 3*i + 263880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 + 7*o + 11. Let t be q(4). What is the highest common divisor of t and 1357?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28.5 - -29. Which is the third biggest value?  (a) -1  (b) 1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -280, -228, -156, -76, 0, 60?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 16 - 8*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i - 10. Let c be r(16). Let d be ((-57)\/c - 0)\/((-1)\/2). Suppose 5*q + d = 174. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 16*u**2 - 46*u + 17. Let t be r(-12). Put -2, t, 4, -39 in decreasing order.\nAnswer: 4, -2, t, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -2*k - 2*i, -i = -5*k + 86 + 6. Suppose -2*a = -79 - 73. Calculate the highest common divisor of k and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26613 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 38461131169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0478764 meters in micrometers?\nAnswer: 47876.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzzzszzzzsszzzzz?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-1\/16)*((k*k**(4\/15)*k)\/k*k)\/k)\/(k**(-9\/5))**(1\/28) assuming k is positive.\nAnswer: k**(3811\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-31)\/(-2 - 5\/(-2)). Let a be 1*(0 - (2 - c)). Let t = a - -321\/5. Is t greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72540 and 604500.\nAnswer: 1813500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5392, 5393, 5394, 5395, 5396, 5397?\n\"Answer: y + 5391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10231232 - -10?\nAnswer: 10231302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -189823\/33 - -5750. Calculate the common denominator of 55\/6 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 42654, 170680, 384058, 682788?\n\"Answer: 42676*g**2 - 2*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 5 - (-3 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of -31*n**7\/42 + n**5\/30 - 11*n**4\/12 - 188*n**2. What is the third derivative of f(q) wrt q?\nAnswer: -3720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3710*q + 3727*q = 34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15419 + -13117. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x + 7. Let h be i(5). Suppose -h*t - 5 = -4*r - 3*t, -3*r + 5*t - 2 = 0. Let o = -15\/8 + 13\/24. What is the biggest value in o, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u - 2*u - u + 4*u - 2*u - 4*u + 1 - 1 + 2*u + (-u + 3*u - 3*u)*(-2 - 5 + 5) + 4*u - 3*u - 2*u to the form v + o*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 3*p - 3. Suppose -4 = -2*l - 2*t, -8 = -l - 2*t - p. Let z be 2*l\/(-2)*0. Solve 1 = -z*y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1798 + 625.1798. Which is greater: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**5 + k**5 - k**2 + 2*k**2 + (27*k**2 - 31*k**2 + 65*k**2)*(k**3 - 2*k**3 - 2*k**3).\nAnswer: -181*k**5 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -3. Suppose y - 4*y + 4*p + 11 = 0, -5*y + 3*p = v. Does y = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 56*f*l**6 + 3*f*l**4 + 2*f*l**3 - 2*f*l**2 + 1130*f + l**2 wrt l.\nAnswer: 6720*f*l**3 + 72*f*l + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**5*r)*r**(2\/9))**(-10\/17) assuming r is positive.\nAnswer: r**(520\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, i: 3, o: 2, p: 1, l: 4}. What is prob of sequence dli?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 68*-16*51\/3264\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*((240\/(-10))\/8)\/8*-4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-2 + -2)) + (-23 - (12 - 31))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 50*i**3\/3 - 3. Let d(f) = -7*f**2. Let t(j) = 15*d(j) + 2*y(j). Let s(o) = 6*o + 6*o - o - 6*o. Calculate t(s(p)).\nAnswer: -125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * -45.24.\nAnswer: 769.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -4*j**4 - 372*j**3 - 1056*j**2 + 2192*j + 2880 = 0.\nAnswer: -90, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-26)\/(-10) - 12\/20. Suppose 4*f = 2*f - 3*v + 13, -v = d*f - 19. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (440\/155)\/(-11)*(-19)\/(-11 - 369).\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-280)\/12)\/((-6)\/50*(-400)\/(-360)). Solve c - d = 26*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, l: 3, r: 1, z: 4, b: 2, p: 1}. Give prob of sequence pvl.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 4*x - 14, 5*x = 4*m + 9 + 4. Let o(t) = 9*t - 6 - 11*t + t**m + 4*t**3 - 4*t**3 + 5*t**2. Give o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*g = 2. Find the common denominator of 9\/16 and (-73)\/(-10) + (-2 - g).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/47)\/n*n*((n\/(n*n**4))\/n*n)\/n)**(6\/7) assuming n is positive.\nAnswer: n**(-1398\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39 + -29. Suppose 5*d + 10 = r*d. Suppose m + 111 = 3*n + n, 0 = -5*n - d*m + 155. What is the smallest common multiple of n and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 + 9*b**2 - 7*b - 10. Let y be c(8). Let s(z) = z**2 + z + 1. Let w be s(y). Solve 0 = 3*r + 4*n - 13, 8 - 1 = 5*r + w*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -4. Let x = u - 1. Suppose -k + 22 + 25 = x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3166742 + -179551126?\nAnswer: -176384384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/1272 and 43\/16.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 111*a**2 + 803*a - 247. Calculate m(103).\nAnswer: -2410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -35. Let p = 10 + k. Let o = p - 28.6. Which is the third smallest value?  (a) o  (b) -6  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1145779?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 1, -24, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 3*k + 12, 3*s = -3*k - 9 + 15. What is the units digit of (s\/9)\/(3\/180)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -186554130 to the nearest one million.\nAnswer: -187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 + 11*b**2 - 15. Let v(z) = -27*z + 164. Let h be v(6). Let w(r) be the first derivative of 2*r**3\/3 - 3*r + 1. Determine h*a(k) - 11*w(k).\nAnswer: 2*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -16. What is the tens digit of 1 - -1*(49 - x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94195411.\nAnswer: 9601, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2290 - -25220\/11. Let v = 161\/55 - d. What is the nearest to 1 in 4, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12681279*h - 6*x = -12681275*h - 22, -3*h + 5*x + 26 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -728, 0.1, -10174?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -1646*v + 2250 - 2250 as d*v + g and give d.\nAnswer: -1646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**2 + x + 7. Let y(g) = -2*g**2 + g + 15. Let a(t) = -9*s(t) + 4*y(t). Let h be a(6). Suppose 0 = 4*i - h*i. Solve -z - 3 - 1 = i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 261.\nAnswer: -4, -1, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 631290 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + m**2 + m. Let g(j) = 3*j**3 - 3*j**2 - 3*j. Determine 2*g(c) + 5*k(c).\nAnswer: c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100101*m**2 - 200224*m**2 + 100112*m**2 - 1.\nAnswer: -11*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 219*s - 1060155 - 2233167. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*(-7)\/7 - -71. Suppose 14*q = -j + 207. Solve -q*x + 6*x = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(2\/5))**(3\/11)\/(m\/m**(-2\/9)*m*m**10))**(-47) assuming m is positive.\nAnswer: m**(281812\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w - 8. Let s be q(8). Find the second derivative of -11*p**5 + 0*p - 3*p + s*p - 8*p wrt p.\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 5*a**2 + 12*a - 12. Let t be u(-7). Suppose t*y = 4*w - 66, y + 5 = -0*y. Suppose -74 - w = -4*i. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179691 + 180443 = -118*w - 70*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2202*l**6 - 1979*l**2 - 2.\nAnswer: 264240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2624 - 38.\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5*(30\/(-25))\/(-2). What is the common denominator of -127\/18 and (556\/(-72))\/((-68)\/12 - y)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 361.3 - -201.7. Sort -2\/5, -0.1, y, 1\/2, -4 in increasing order.\nAnswer: -4, -2\/5, -0.1, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/6)\/(303992\/2886).\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-750)\/40)\/(((-57)\/(-26724))\/(-1)). Let b = y + -8787. Suppose -b - 26\/19*x**2 - 2\/19*x**3 - 96\/19*x = 0. What is x?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -601, -599, -597, -595?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -76*l + 214. List the prime factors of c(-14).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k**2 + k**2 + 3*k**2 + (-8*k**2 + 0*k**2 + 3*k**2)*(0 + 1 + 0))*(-9 + 9 - 11*k) in the form p*k**2 + r*k + m*k**3 + v and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((1 + sqrt(637))*3)**2)*6.\nAnswer: 756*sqrt(13) + 34446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -319 + 130 - 130 = -29*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*w + 7138 - 7351 - 12*w)*(-2*w**2 - 4 + 4) as t + u*w**3 + n*w + k*w**2 and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14.555596 + 0.0711341.\nAnswer: -14.4844619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1010 (base 3) to base 11\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -425 + 429. Put -3, 31, r in increasing order.\nAnswer: -3, r, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1127\/(-483) - (-14)\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 248 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 k(d) = -48921*d + 146785. What is k(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 16*d - 36. Let f be r(-18). Suppose 7*t + 0*t - 63 = f. Let p(j) = j - 17. Determine p(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -8, 5, -4, -2, 188.\nAnswer: -8, -4, -2, 0, 5, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 + -1)*5\/(-2). Let g(t) = 7*t**2 - 4*t - 4. Let k(b) be the second derivative of -b**4\/2 + b**3\/2 + 3*b**2\/2 - b. What is d*g(z) - 6*k(z)?\nAnswer: z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -115471033 + -0.4.\nAnswer: -115471033.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) - (sqrt(12) - (sqrt(36)*1 + sqrt(36))\/sqrt(3)))\/(sqrt(384) - 2*sqrt(384)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34 - -62. Let q be c\/21 - 2\/2. Let o(x) = x**3 - 3*x**2 - 3*x - 3. Let y be o(4). What is the closest to 0.1 in q, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-60378)\/(-12492) + (5\/(-6)*-4)\/2. Factor 3 - q*l + 1\/2*l**2 + l**3.\nAnswer: (l - 2)*(l + 3)*(2*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(3*-1) - 0. Suppose -h - 6 + 4 = p. Let c be ((-2)\/(-4))\/(h\/(-24)). What is the greatest common divisor of c and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1757, 3449, 5141, 6833, 8525, 10217?\n\"Answer: 1692*p + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t + 5*t + 2*t)*(-t**4 + 5*t**4 - 3*t**4) - 757*t**5 + 348*t**5 - 148*t**5 - 225*t**5.\nAnswer: -780*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -12207.423.\nAnswer: 24414.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10675, 1, 0.5, 3\/2 in decreasing order.\nAnswer: 3\/2, 1, 0.5, -10675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -136\/69 - -30\/23. Let v = 4\/79 - 257\/395. Let w = -7 + 10. Which is the closest to q?  (a) 2  (b) v  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3 = 2, 3*v + 2*c - 68 = 0. Suppose 1377 = -23*n + v*n. Suppose 5*t - 2*m - n = 0, 5*t - 3*m = m + 453. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 600 - 602. Is 0.79 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.86 - 1.36. Sort u, -0.5, -1, 0.1 in decreasing order.\nAnswer: u, 0.1, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 870742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/16 and -107\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.5571 + 0.4429. What is the second biggest value in -4\/7, o, 8, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 192 - 194.22. Let x = -1.92 - q. Let b = 3.7 + -4. What is the nearest to -1 in 5, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 5  (b) 5759  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 642 * 33.7.\nAnswer: 21635.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*g = 5*x - 325, 4*x - 998 = -g - 801 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 + 4 + -24 + 25 + -36?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 60812 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*m**3 - 15440*m**2 + 15440*m**2.\nAnswer: 25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 408 + -407. Put v, 2, -2, 56 in descending order.\nAnswer: 56, 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -304 * -3.\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 279 = -4*r, 259 = 4*r - z - 0*z. Let d = r - 334\/5. Which is the smallest value?  (a) 4  (b) d  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -37739\/47 + 803. Let j(d) = -46*d - 2116. Let h be j(-46). Is h less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 518.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 45928 * 0.007.\nAnswer: 321.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 81345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.008 - -0.0080008. What is p rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69859 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4  (b) -3  (c) -4\/9  (d) -2186  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4*(70\/8)\/(-7). Are f and -5 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.17  (b) 35  (c) 0.008  (d) 3  (e) 6  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lffffhppkkfqfkpp. What is prob of picking 1 p and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -355, -693, -1031, -1369, -1707, -2045?\nAnswer: -2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -2*y**5\/7 - 26*y**4\/7 - 38*y**3\/7 + 514*y**2\/7 + 160*y - 224 = 0.\nAnswer: -7, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 2.1. Let s be (((-3)\/(-4))\/(27\/180))\/(-11 + 12). What is the third biggest value in 9, s, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 950 + -938 + (8 - 10) + -109.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - 3 - 2)*(3*a + 2*a - 3*a) - 6*a + a - 3*a)*(3*a + 2*a - 2*a) to t*a**2 + b + v*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 11. Let w be d(0). Let v = 20 + w. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 28739\/14 or 2052?\nAnswer: 28739\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 4*m + 22 = 5, 3*t + 206*m + 1 = 210*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 3, -22.08, 21, -1\/3 in ascending order.\nAnswer: -22.08, -1\/3, 0.2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l. Let d be i(2). Let m be (-6)\/(-9)*-3*d. Let y be m\/(2\/(-1)) - 2. Solve b = -y*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1791454487 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-432)\/4*(-2360)\/10620\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u - 4. Let x = 0 - 2. Let w be -1*(-2 - (-1 - x)). Let p be t(w). Solve p*f - 3*f = 2*j - 2, -4*j + 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16662 or -2?\nAnswer: -16662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4321, 9185, 14037, 18871, 23681, 28461, 33205, 37907?\nAnswer: 42561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) -2  (c) -136\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -141 + 199. Let m = h + -58.0000104. Round m to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 2:08 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l**5 - 4*l**4 - 71*l**3 - 66*l**2 = 0. Calculate l.\nAnswer: -6, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 32 - (2 - 2) - (-5 + (18 - 6))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 + (2 - (2 - 23)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45.7387673 + 0.1\nAnswer: -45.6387673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7705 is divided by 117?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, a: 1}. What is prob of sequence acc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -256, -250, -242, -232, -220, -206?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 + (0 - (15 + -3 + 3 + -9))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 6520*v**2 - 19*v - 6521*v**2 + 19*v. Let q(y) = -281*y + 2. Give q(m(p)).\nAnswer: 281*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1344948871?\nAnswer: 7, 41, 193, 24281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 77*t**2 - 357*t + 105. Determine p(10).\nAnswer: 4235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 8) + 22 - -4 - -2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -3229.9?\nAnswer: -6459.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 22*v - 127 - 25*v + 117.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 + 7*a - 8)*(4 + 1 - 4)*(-2 + 4 - 1) to k*a + w and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (27179*o**2 - 7847*o**2 + 37153*o**2 + 1376*o**2 + 37348*o**2)*(-3*o**2 + 2*o**2 + 2*o**2) in the form j*o**2 + t + b*o**4 + k*o + d*o**3 and give b.\nAnswer: 95209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 358595213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10245731 is divided by 223?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**5 + 0*m**2 + 0*m**2 + (-5*m**5 + 2*m**5 + 2*m**5)*(0 - 2 + 0) + 3*m**4 - 10968*m**5 - 3*m**4 + 4310*m**5.\nAnswer: -6655*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9261605*x**3 + 31341284930*x**2 + 46056245*x + 16920.\nAnswer: 5*(x + 3384)*(1361*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1 - (-105)\/(-36)) + 4 and 17\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 7, 2, -5, -14, -25, -38?\n\"Answer: -t**2 - 2*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + -1. Let x(p) = -p**3 - 6*p**2 + p - 4. Let i be x(-6). Let t be (-10)\/5 + i\/(-2). Solve -12 = 6*w - t*w + 2*d, c = 2*w - 4*d - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 411*j - 409*j + 7*z - 44, -z = 5*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(9) - (sqrt(1296) + sqrt(1296)*1 + sqrt(1296) - sqrt(1296)))\/sqrt(3) + (sqrt(486)*1)\/sqrt(2)*2)**2 + 3.\nAnswer: -30*sqrt(3) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2045242243.\nAnswer: 11, 185931113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 457031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 40463, -457 in increasing order.\nAnswer: -457, 0, 40463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 259703070 to the nearest integer?\nAnswer: 16115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**3 + 5*z**3 - 3*z**3)*(2*z**2 + z**2 + 2*z**2).\nAnswer: 15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8\/1067 + 50005\/19206. Find the common denominator of 43\/12 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -71.94 - -72. Let n be (-1)\/(-1 - (-63)\/18). Which is the second smallest value?  (a) 5  (b) w  (c) n  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 - 3*y**2 - 108*y + 108.\nAnswer: 3*(y - 6)*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 139339914 and 21.\nAnswer: 139339914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306615 is divided by 217?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nttn when four letters picked without replacement from nttttttttttnnt.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -29867 and -45.3?\nAnswer: 1352975.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**5*v))\/v**(-2)*(v*v*v*v**(-6)*v)\/v*v*v**(-6)*v*v assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 193*q**2 + 24*q + 17. Let p(m) = 8*m - 33 + 65*m**2 + 78 - 39. Let w(b) = -4*g(b) + 11*p(b). Find the second derivative of w(h) wrt h.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 148650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87756 is divided by 6749?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 8:51 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of 0 + 2\/3*c**3 - c**2 + 0*c**4 + 1\/6*c**5 - 11*c - 1\/120*c**6. What is w(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**25\/(y*y**(13\/4))*(y**(-6\/7))**(-33) assuming y is positive.\nAnswer: y**(1373\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 2 = -17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 147 + -140. Let f(i) = 10*i**2 - 4*i - 1. Let u be f(3). What is the greatest common divisor of u and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 74.5 + -73. Let h = 1.8 - d. Let u = 1.5 + -2. Which is the second smallest value?  (a) -0.3  (b) h  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/1383 and 85\/922?\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (1\/1 - 1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -4*k - 97. Let p be s(-25). Let f be 4\/7 - 155\/(-35). Suppose 0 = f*h - 25. Solve -3*g = 2*o + 1 + 1, -p*g + h*o + 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-31)*k**(5\/16) assuming k is positive.\nAnswer: k**(-491\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*j**4 + 247*j**3*w**3 - 706*j*w**2 - 7*j + 3*w**3 + 2*w wrt j?\nAnswer: 180*j**2 + 1482*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 85 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: In base 10, what is -47 - 3948?\nAnswer: -3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 261782 and 10987955.\nAnswer: 417542290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 5*c + 17, -c - 37 - 6 = 5*g. Let h be 1778\/10 + (g\/(-5))\/9. Suppose -8 = -4*n, a = -a + n + h. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 47, 2 in ascending order.\nAnswer: -9, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -77291840 to the nearest one million.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3276 + -1387. What are the prime factors of h?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 36 + 58)*(-1 - 4 + 6)*(-2 + 2 + 5*d).\nAnswer: 475*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -52723 - 14?\nAnswer: -52737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 32909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 6*s - 1. Let r be 3\/(-2) + 10\/4. Let v = r - 7. Let a be l(v). Which is smaller: a or -6\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 101515 and 185413.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 14 * -10081680\nAnswer: -141143520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2022948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 221, 464, 717, 986, 1277?\n\"Answer: l**3 - l**2 + 239*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.83, -0.2, -2, 1\/8, -5 in decreasing order.\nAnswer: 0.83, 1\/8, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*x**3 - 4*x + 12*x + 0*x + 19*x**3 + 2021*x**2 - 9*x.\nAnswer: x**3 + 2021*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 25 = 2*j, -3*h + 11 = 3*j - 4. Suppose 12*u = 6 + 6. Suppose j = b + u - 6. Solve 0 = -b*a - 16 - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.5 + 14.\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(90)*2)\/sqrt(10) + sqrt(9) - (sqrt(144) - (sqrt(144) + 1*sqrt(144) + sqrt(144))))\/(sqrt(9)\/(sqrt(9)\/(-1*sqrt(3) - sqrt(3)))))**2.\nAnswer: 363\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = x - 3*p, -p = 2*x - 15. Suppose 5*j = -5*b - 249 - 551, x = 3*b. Let m = j - -290. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-16))\/(q\/(q*q*q\/(q**(2\/39)*q))))**(24\/13) assuming q is positive.\nAnswer: q**(5600\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 158477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**5\/6 + 85*u**4\/2 - 168*u**3 + 502*u**2\/3 = 0.\nAnswer: 0, 2, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = d + 8. Suppose b - 7 = -d*i - 23, 2*b + 2*i + 2 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 6*z**2 - 2*z - 12. Determine r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + x = 14, -n + 6*x - x = -2. Sort n, 3, 5, -1 in descending order.\nAnswer: 5, 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of o**3 - o**2 - 2*o + 7. Let n be t(2). Factor 2\/3*b + 0 + n*b**4 + 2*b**3 - 10\/3*b**2.\nAnswer: 2*b*(b + 1)*(3*b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32697089 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + 4*n**2 + 2*n + 8. Let a be h(4). What is the first derivative of 2 - 2 + 1 - a*b**2 + 13 wrt b?\nAnswer: -32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2607 or -2588?\nAnswer: -2588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 + 4*c**2 - 17*c + 134. Give f(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52 by -162.\nAnswer: -26\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3299287630 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.08095 - -0.04195. Let g = q - 0.061. Let n = -2.6 - g. What is the closest to -1\/4 in -0.5, n, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1\/2, 30, -290?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z = -12318 + 7502. Is z a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - 6*j + 5. Let u be 3 + -1 + 1 - 9. Let a be b(u). Calculate the highest common factor of 55 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - 4\/(-8))*-4. Suppose 0 = -m*y + 4*q + 50 - 6, 2 = 2*q. Solve 16 = 4*t - 0*t, 5*g = t - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4\/(-32)*-7518*(-1496)\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15768 by -6.\nAnswer: -2628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 40 = -8*p + 4*t, -23 = -2*p + 3*t. Suppose -4*h + 25 = h + 2*s, 0 = -p*h + 5*s + 20. Sort -4, h, -1.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -4 + 2 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3703798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of -56\/3*l**3 + l + 24*l**2 - 2\/15*l**6 + 19\/3*l**4 + 48 - 2\/5*l**5. Factor c(v).\nAnswer: -4*(v - 2)*(v - 1)**2*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65789, 65825, 65861, 65897, 65933, 65969?\nAnswer: 66005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 150469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*f + 69 = 29*f - 117 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7672723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/(-9))\/(-4) + 12\/(-54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 1. Suppose 30 - 21 = 3*l - 2*w, 4*l = 2*w + 10. Let q(u) = -5*u**3 - 7*u**2 - 10*u + 4. Let p(c) = l*q(c) + 4*d(c). Factor p(j).\nAnswer: -j*(j + 2)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 3 = 5. What is the biggest value in 1, q, 7, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11345 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-5)*q)\/q)\/(q*q**(2\/53)*q))\/((((q*q**(-11)\/q)\/q*q)\/q)\/q**(-13)) assuming q is positive.\nAnswer: q**(-426\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70539.\nAnswer: 3, 7, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -69916.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19629 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -37*y - 246. What is t(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13 or -3371?\nAnswer: -3371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 174220 and 2529?\nAnswer: 1567980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.04+1.76\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 57335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12, 1, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -32052573 (base 8) to base 14\nAnswer: -c9dbbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 208 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52 + 33. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*b + 10. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**2 + 0*y**2 - 3*y**2 + 4*y**2. Suppose -8 = -4*x - 0*x. Let c(v) = 8*v**2 - x*v**2 - 7*v**2. Determine z(c(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 33\/5 of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 110849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/10 in 1.7, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -2076?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together 435.15295 and -5.6818.\nAnswer: 429.47115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4947.1 - 4947. Which is the nearest to z?  (a) -4.5  (b) -0.5  (c) 3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h be 56\/308 - 1685\/11. Which is smaller: h or -152?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10 - 330\/(-35)) + 660\/28. Solve -17 = 2*u - q - k, 0 = -3*u + 2*q + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -536*4.\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 + 69208*g - 553536.\nAnswer: -2*(g - 34596)*(g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 1. Let i(p) = 5*p**2 - 5. Let f(o) = -2*i(o) - 10*k(o). Let r(m) = -2*m. Calculate r(f(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -230, -444, -644, -824, -978, -1100, -1184?\n\"Answer: u**3 + u**2 - 224*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**0)**23)**(-5\/4)\/((((d\/d**(2\/5))\/d*d)\/d)**24\/(d\/(d\/d**(-1\/2))*d)**(-41)) assuming d is positive.\nAnswer: d**(-793\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.35*70060\nAnswer: -24521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 423056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9148?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -19979 - -11?\nAnswer: -19968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((4620\/56)\/33)\/((-1)\/4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 + 0 + -6 - (-14 - 11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2 + (sqrt(171) + 0 - sqrt(19))**2)*-2.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n. Let b(w) = 176*w**2 - 16*w. Calculate b(c(m)).\nAnswer: 1584*m**2 + 48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41790600 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 78413, 156800, 235149, 313442, 391661?\nAnswer: 469788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.18 + 0.08. Let g(f) = f**2 - 4*f - 1. Let r be g(4). Which is bigger: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(272) - (sqrt(272) + sqrt(272) + 1 + sqrt(272)))*1 + 5 + (-1 + sqrt(272)*2)*-3)**2 + 4.\nAnswer: -69824 + 1792*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 4 = 0, 5*b = 2*l + 154 - 148 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 4:24 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10854 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -26505, -25243, -23979, -22713, -21445?\n\"Answer: j**2 + 1259*j - 27765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 2:33 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*p - 22*p + 98821 = 27*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3012 - -5220. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 9\/5  (b) 5  (c) 2\/3  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 3116903.\nAnswer: 4\/3116903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1439240, -2878326, -4317412?\nAnswer: -5756498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -7. Let p = x - 4.6. Let d = 1 - 4. Which is the second biggest value?  (a) d  (b) p  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 4*l - 22, 4*o + o - 69 = 4*l. Let w = 12 - o. Let p be -2*((3 + 1)*w)\/2. Solve m = p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y**3 - 43*y**2 - 28*y + 94. What are the prime factors of j(19)?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*p**3 - 3*p**3 + p**3 + (16*p**2 + 2*p**2 + 12*p**2)*(-3*p - 2*p + 3*p) as n*p + l + r*p**3 + f*p**2 and give r.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zkcxxvcw. Give prob of sequence zxx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (8\/(-12))\/(6\/(-81)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1491162 and 1827876?\nAnswer: 56664156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-5 + (-356)\/(-72))*-3)\/4. Let v(d) be the first derivative of 1\/4*d**2 + 3\/2*d - 8 - 5\/18*d**3 + q*d**4. Determine k so that v(k) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from aaaeeidaiiiritia.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = -19*x + 22*x + 26, -4*x - 33 = -5*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 11:07 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 334544*y**4 + 574010*y**2 wrt y?\nAnswer: 8029056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, p: 1, f: 2}. Give prob of picking 1 p and 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (3 + (-2 - 5)) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42167709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 4484052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*d - 6. Let k = 5 + d. Factor -4*j**3 + 5*j**k - 2*j**5 + 4*j**3 + 2*j**4 - 3*j**3 - 2*j**2.\nAnswer: -2*j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231841465 rounded to the nearest one million?\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -460 + 1930. What is the hundreds digit of 1\/4 + 8\/(64\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.009 - -27.991. Let c = 32 - a. Let j = 0.2 - -5.8. What is the third biggest value in j, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -k**4\/14 - 2*k**3\/7 - 3*k**2\/7 - 2*k\/7 + 14. Suppose a(c) = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108730821509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/11 + (-4*1 - 1). Let l(z) = -95*z - 35. Is 22 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14340496, -28680993, -43021490, -57361987, -71702484, -86042981?\nAnswer: -100383478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + ((-58)\/(-10) - (-18)\/90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -4*j + 9. Suppose -2*o = 4*h - 80 - 54, h + 2*o = 29. What is the remainder when h is divided by j*-1*(-76)\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 5*t - 0*t - 9, -t - 1 = x. Let g = 3 + -2.95. Let q = -3.95 - g. Which is the third smallest value?  (a) q  (b) 3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-2 - -2) - ((-11 - 17) + 30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 + 4)\/((-14)\/530). Let y = 149\/14 + w. Let v = -703\/6 + 295\/3. Calculate the common denominator of v and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -6*r + 4*x, -3*r + x = -10. Suppose -3*w - r*a + 361 = 0, 5*a + 6 - 494 = -4*w. Let c = w - 892\/7. Which is bigger: c or -5\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 592097873, 592097873, 592097883, 592097909, 592097957, 592098033, 592098143?\nAnswer: 592098293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 5:10 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3511 - 3512. Which is smaller: -3\/23 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 139 - 139. Sort y, 1.3, -3 in increasing order.\nAnswer: -3, y, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c - c + 2*c. Let j(i) be the second derivative of 0*i**3 + 0*i**2 + 3*i + 0 + 1\/12*i**4. Determine j(m(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + -1.001. Let w = -13.201 - u. Let i = 14.27 + w. What is i rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 3*x + 1275 = 0, x = 2*v - 3*x - 632. List the prime factors of v.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 4)*(3*j**5 - 6*j**5 + 2*j**5) - 36*j**5 + 22*j**5 - 126*j**5.\nAnswer: -142*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/8 and 47\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + 7*l - 10. Let v be b(4). Let x = 9 + v. Calculate the highest common divisor of x and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 251917, 251919, 251919, 251917, 251913, 251907, 251899?\n\"Answer: -q**2 + 5*q + 251913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 2. Let v = -869 + 869. Solve 3*n + v*n + 6 = b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -7, 593 in descending order.\nAnswer: 593, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0*1233301\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11136 and 108?\nAnswer: 100224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k + 4*c + 16, -5*c = 14*k - 18*k + 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/645 and 55\/46553.\nAnswer: 30026685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 27, -215 in descending order.\nAnswer: 27, -4, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 6 + 4. Let y = -3 - 0. Put p, y, -5 in decreasing order.\nAnswer: p, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-14 + 25 + -6 + 0 - (-13 + 94)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -0*v - 1. Let w be v + (0 - -3)*1. What is the second derivative of 1 + 2*y + y**w - 1 + y**2 wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 - -17. Let z = 0.27 - 0.27. Let j = 2.27 - 0.27. Which is the second biggest value?  (a) z  (b) j  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 834569102 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j**3 - 17491*j**2 + 122343*j + 11. Give y(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h - 4 + 4 + (-h + 1 - 1)*(1 + 1 + 0) + (h - h - 2*h)*(-5 + 10 + 9)*(-4 + 2 - 4) in the form q*h + d and give q.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/27 - (-6)\/27. Suppose -3*h = 3*y - l*h + 9, -2*h = 10. Let m(b) = b**y - 18 + 23 + 0*b**2. Give m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (43 + -19 + -32)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 22253 - -201596?\nAnswer: 223849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 4*k = 22 + 18, -2*f + 2*k = -16. Let t be (-8 + (-2 - -5))*448\/(-35). Calculate the remainder when (5 + t)*(-2)\/(-6) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -2 - 3\/2*g**2 + 2\/3*g**3 + 81\/4*g**4 - g. Is s(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 0*y + 0*y)*(3*y - 2*y - 2*y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.12, 4\/359, 1\/6, -1\/3, 200\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 20 = 3*n. Suppose g + n*g + 3 = -t, 4*t + 2*g + 18 = 0. What is the smallest common multiple of 20 and t*(23\/(-6) - (-15)\/10)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.2 - -4. Suppose -18*g = -15*g - 9. Which is the nearest to g?  (a) -2  (b) r  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 482347484 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3167903 in -0.2, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -344 (base 5) to base 11.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 530 + -63067\/119. What is the common denominator of z and -69\/34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -33*m + 150. Let u = 17 - 12. Suppose 0 = u*v - 5*z - 45, v + 0*v = -4*z + 19. What is the remainder when b(4) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of 1\/2*p**2 + 1 + 9*p. What is the lowest common multiple of 4 and o(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tntrvrpbnv. What is prob of picking 1 v, 1 p, 1 r, and 1 n?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 10*v**2 - 5*v + 5. Suppose -5*q + 7*q = -20. Is f(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*f = -69*f + 329 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**3 - 2*a + 3. Suppose 3*s + 20 = -s. Let f(v) = 7*v**3 + v**2 + 5*v - 7. Calculate s*r(t) - 2*f(t).\nAnswer: t**3 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 26*s. Let w(o) = 3854584*o. Give g(w(v)).\nAnswer: 100219184*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15508*f - 3 - 15508*f - 25*f**2.\nAnswer: -25*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 9:37 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j**2. Let r(q) = -13*q - 6807. Give h(r(m)).\nAnswer: 338*m**2 + 353964*m + 92670498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a**3 - 39*a**2 + 83*a + 1014. Calculate m(13).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 42*x - 39. Let y be h(7). Let c = 772 - y. List the prime factors of c.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 3*a**2 + 5*a - 3. Let n(v) = 2*v. Let g(p) = 2*p. Let f(h) = -2*g(h) + n(h). Let c be f(2). Let j be r(c). Do j and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.9019 - 0.9. Round j to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/(-14))\/(9\/(-42)). Let f be 196\/10 + s\/10. Suppose -3*d = d + f. Let w(n) = n**2 + 5*n - 4. Determine w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 138\/2093*(-1015)\/(-58).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4371 (base 15) to base 5.\nAnswer: 424111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25840417\/291277 - 2\/41611. Let j = 89 + a. What is the biggest value in -2\/5, 4\/5, j?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 12 + 14 = 3*v, -2*v = 3*f - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 17 = 11. Solve -2*h = f*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 3*d = -5, -13*d + 280 = r + 343 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(10716\/(-25051)) - (-15 + 1)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/4*(-288)\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1260*k**3*v + k**3 + 44*k**2*v + k**2 - 24414*k + 2 wrt v.\nAnswer: 1260*k**3 + 44*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6103*111.\nAnswer: 677433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = -5*u - 10. Suppose -2*b - 1 = -u. What is the remainder when (-2)\/(0 + -2) + 4 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7600995*m = 7601295*m + 16200 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*i**2 + 2*i**2 + 0*i**2)*(2 - 1 + 1) + 4*i**2 + 5*i**2 - 2*i**2 + 0*i + i**2 + 0*i + 2*i**2 - 2*i + 2*i)*(4 + 3 - 5).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8556 (base 9) to base 10\nAnswer: -6288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(475)*5*-5.\nAnswer: -125*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1032262 (base 11) to base 6.\nAnswer: 102550440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -704828*t + 1 + 352400*t + 352382*t.\nAnswer: -46*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 251 + -100. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -881773012761535 - -881772974860545.2999989. Let b = z - -37900992. Let m = 2.3 - b. What is m rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -149b4 (base 15) to base 4\nAnswer: -100030033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 8, p: 2}. Give prob of sequence xpp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f + 25. Let i be o(-14). Solve i = 5*u - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.31205411 rounded to two dps?\nAnswer: -4.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4953, 7703, 10449, 13191, 15929?\n\"Answer: -2*m**2 + 2756*m + 2199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 - 98*y**2 + 161*y + 25044. Calculate c(-97).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjjjjiiijjjij. Give prob of picking 2 j and 2 i.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**14\/v)\/v)\/v**(1\/6) assuming v is positive.\nAnswer: v**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from vhvhvvvvvvvh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 341.18.\nAnswer: -1705.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i**3 - 14*i**3 + 1 - 4*i + 4*i.\nAnswer: -18*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - 18 - -17 - (3 - 26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 45\/4 of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001000 + 1010000100110?\nAnswer: 1010001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -12*p. Let j(i) be the third derivative of i**4\/24 - 2*i**3\/3 - 3*i**2. Let f(b) = b - 3. Let h(v) = 4*f(v) - 3*j(v). Calculate a(h(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34674216 is divided by 167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*-1 + 2 - -4. Suppose 4*k - 5*x + 85 = 0, k + 24 = 3*x + x. Let b = -13 - k. Solve v - d = -b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/(-10) - -1) + (-6)\/10. Let t = 0 - -1. Let f = t - 5. What is the biggest value in i, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (o**2 + 0*o**2 + o**2)*((5*o - o - 3*o)*(3 + 1 - 6) + (-4*o - 2*o + o)*(4 - 4 + 2)) as j*o**2 + i*o + x*o**3 + b and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125536*f - 251063*f - 6811*f**3 + 125527*f - 116*f**3.\nAnswer: -6927*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-15)\/(-96) + 0)*-52 and 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d99 - 2a30c?\nAnswer: -29353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i = 13*i + 22850. Let d = i + -502773\/44. Find the common denominator of 71\/20 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-seven fifths of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23305 (base 13) to base 10.\nAnswer: 64225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*b**2 - 3 - 63 - 43 + 19 - 5*b**2 as a*b + g + i*b**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3444 at most -3463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 40*p + 282. Let k be o(-7). Let m(d) be the third derivative of 0 + 0*d - 1\/180*d**6 + 0*d**4 + 0*d**3 + 2*d**k + 1\/90*d**5. Factor m(u).\nAnswer: -2*u**2*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 72, 60, 48, 36?\n\"Answer: -12*t + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -5 - 10 - 3 + 2*o + 5 + 5*o. Determine u(11).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2983673, -5967342, -8951011, -11934680, -14918349, -17902018?\nAnswer: -20885687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/44*(13 + -15)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1013296899 to the power of 1\/2, to the nearest integer?\nAnswer: 31832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 364, 373, 384, 397, 412, 429, 448?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*l**2 + 0*l**2 - 3*l**2)*(2*l - 3*l + 3*l) + (3*l - 2*l - 2*l)*(-l**2 + 0*l**2 + 10*l**2) as w + r*l + d*l**2 + x*l**3 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y - 3. Let m be u(3). Let i = -6 - -13. Let c = 10 - i. Solve m = 5*a - c*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 441 + -435.95. Let l = 5.513 - x. What is l rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.814694 years to months.\nAnswer: 45.776328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 64*r**2 - 1\/10*r**5 - 80\/3*r**3 + 65*r + 17\/6*r**4 + 0. Determine z, given that v(z) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a13 (base 14) in base 16?\nAnswer: -7b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/((-1)\/(0 + -7)). What is the greatest common factor of g and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**2 + 203844*w + 3462698028.\nAnswer: 3*(w + 33974)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8537 - 8537. Suppose 86 = -3*b + b. What is the closest to w in -2, -2\/19, b?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3084 (base 14) in base 4?\nAnswer: -2002130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/77 and -6\/4025?\nAnswer: 44275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 220646205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y - 2*w - 2, -y - 35064*w = -35069*w + 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 8 = 0, 22*d - 13*l = 4*d + 13*d - 104 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((-9)\/24))\/(-17*17\/(-867))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -111. Suppose 3*k = 3*h - 9, 0 = -k - 2*h - h - 15. Is ((-20)\/k)\/((-6)\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6810*k**2 + 137 + 16*k + 16*k - 6809*k**2. Let f be n(-5). Solve -2*i - j + f = j, 0 = 4*i + 2*j + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*f + 4*f. Suppose 7 - f = z. Suppose 12 = 4*k - 2*k. Solve z*w + 1 = -s - k, w + 5*s = -16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*n - 18*n = 2*t - 2, 4*t - 14 = -2*n. Solve -t*w + 0*w + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 728 = -x, 0*x - 3*x + 2232 = -v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 39.43654km?\nAnswer: 39436540000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 147.2943 millilitres in litres?\nAnswer: 0.1472943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8946246, -17892437, -26838628, -35784819, -44731010?\nAnswer: -53677201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*f**2 - 236013456*f + 157342308 = 0. What is f?\nAnswer: -26223718, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, 4, 14, 30, 52?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 176 and 8008?\nAnswer: 16016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*(-5)\/60*-18. Solve -4*q - 9 = 3*i, 0 = -28*q + 29*q + r*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.742 in -1\/3, -882.29, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1555830305.\nAnswer: 5, 3259, 95479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 9*p + 994 = 0. Let b = -97 + p. What is the remainder when 178 is divided by b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 2641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 times 10.61?\nAnswer: 95.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -114*g. Let j(i) = -19*i. Let w = 3631 + -3634. Determine w*s(l) + 19*j(l).\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/5 and (1\/(-234))\/(57366\/1593 - 36).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 44\/85 + -2\/17. Suppose 32 = 4*o + 2*r, -3*o - 2*r - 2 + 26 = 0. Let v be (1 - 3) + 14\/o. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6c0 (base 13) to base 5\nAnswer: -14140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23 + 25. Which is the second biggest value?  (a) 0  (b) j  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 155 and 67115?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in -6, -0.2, 6, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 56080.29 + -55850. What is z rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -1. Let g = -71 - -73. Sort 5, v, g in ascending order.\nAnswer: v, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nioio. What is prob of sequence oi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14479602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**5\/3 + 524*l**4 + 311600*l**3\/3 + 298860*l**2 - 63585202*l\/3 + 20791816 = 0. Calculate l.\nAnswer: -391, -17, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*f + 1427*f**2 + 17*f**4 - 1 - 1423*f**2 + f**3 - 16*f**4 as k + z*f**2 + q*f**4 + t*f + r*f**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of -o**7\/504 - o**6\/240 - o**5\/60 + 9*o**4\/4 - 29*o. Let y(g) be the third derivative of b(g). Give y(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(88) - -2*1*sqrt(88)) + sqrt(88))\/((-1*sqrt(88))\/sqrt(11)))**2 + 2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 + c**2 - c**2)*(-2 - 3 + 7 + (-6 + 5 + 9)*(-7 + 3 + 0))*(2 - 2 + 2*c).\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiniffniinlni. Give prob of picking 2 i.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 963163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -162930*-0.28\nAnswer: 45620.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 422474 - -1?\nAnswer: 422475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 1 - 8 - 5*y - 2*y**3 + y**3 + 8*y**2. Let o be h(5). Suppose 4*v + 5*b = 15 + o, -2*v - 5*b = -34. Solve 0 = -3*m + 7*m + v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(2\/((-16)\/(-10)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (3 - 1)) + (6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -4553206?\nAnswer: -910641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {i: 8, l: 4, e: 8}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of j**4\/12 + j**3\/2 - 26*j**2 + 44*j. Let v be b(-9). Solve -5*a = 3*f - 6, v*a - 2 = 2*f - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 times -26?\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4, 0.5, -346, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 832176624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -76.\nAnswer: -76, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -569 - -573. Solve -3*f = -c*m + 3*m + 17, 5 = -5*f - 3*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1449811?\nAnswer: 11, 17, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -653115*v*z + 4*v + 5966717*z wrt v.\nAnswer: -653115*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 50359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*(-3 - 27\/(-12)). Suppose -3*o + z + z + 38 = 0, -p*o - 2*z = -34. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14864282*g**4 - 31664406*g wrt g.\nAnswer: -178371384*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 143f (base 16) to base 7\nAnswer: 21053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 9 = 2*k + 2*k, 0 = 4*h + 2*k + 12. Which is the fourth smallest value?  (a) h  (b) 0.5  (c) 0.3  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - 11*t - 3. Let o be c(-9). Is (485\/o)\/((-1)\/(-21)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 763 or 776?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -104853?\nAnswer: -524265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 7, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25801 is divided by 423?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 AM and 7:19 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -4, -427, -1 in increasing order.\nAnswer: -427, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (266555\/5200 - -9). Let u = -805\/13 - y. What is the common denominator of -19\/32 and u?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4201 + -2034211?\nAnswer: -2042412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 244*u + 5430. Is w(0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10667145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5965743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 36 = -0*m. Let q = 13 + m. Suppose q*r - 30 = 10. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7194 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**2 - 2*w + 2. Let z be x(3). Let k(r) = -12*r - 31. Let y be k(-3). Let g = z - y. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90670 divided by 18134.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 4*x - x. Solve -5*f + 2*t = 15, 5*f + 0*f - x*t + 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 6 = 2*m. Let n(w) be the third derivative of -w**4\/2 - 5*w**3\/6 - 57*w**2. List the prime factors of n(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 32 = 4*r, -l + 3*l - 31 = -5*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - -440a?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 7, 21, -3, -24, 0 in decreasing order.\nAnswer: 21, 7, 3, 0, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3547285?\nAnswer: 5, 7, 43, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 3*o - 317, -3*n - 18 = -3. Solve -11*l - o = -103 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 - ((-67 - -86) + (-22 + 5 - -5)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 6*f**2 - 2645*f - 31. Calculate m(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -43*r - 25. Let w(t) = 1196*t - 1. Determine v(w(n)).\nAnswer: -51428*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**5 - 3*h**5 + 0*h**5)*(-369 + 678 + 889).\nAnswer: -3594*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 5) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 589910641 a multiple of 3642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3424 + -3.3424. Which is the nearest to -5\/8?  (a) -5  (b) 1  (c) -1\/3  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*d**2*g - 295*d**2 + 2*d*g*i*w + 9*d*w - 177*g*i*w + 6*i*w with respect to d.\nAnswer: 6*d*g - 590*d + 2*g*i*w + 9*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 137548.16 to the nearest one thousand.\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (0 - 3) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from bckrv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/782 and 67\/170.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 5*z**2 - 11*z - 8. Let t(h) = -h**3 + 30*h**2 - 32*h + 91. Let v be t(29). Calculate the remainder when 445 is divided by s(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/6 - (-14)\/3. Suppose 2*d - 4*d = 4. Let w be (-192)\/(-112) - d\/7. Solve -m = -4*y, -2*f + w*y - 3 = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 154147684 and 40565180?\nAnswer: 770738420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-638 - -624) + -1 + -18 + -21.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 2*w = 214, -4*n - 80 = -2*w - 314. Suppose -3*q - 230 = 5*u + 2*q, 4*q = u + 41. Let h = u + 59. Calculate the highest common divisor of n and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/13, 4, -35?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60933 and 95?\nAnswer: 304665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 5 - 1 + 18*a to p + i*a and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 73637775 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/((-6)\/(-40)) + (-28)\/7. Suppose -m = -5*y + z, y - 3*z - 2 = -10. Suppose t - 2*t + y*r = -93, -5*t = 4*r - 561. List the prime factors of t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oryrffwooo. Give prob of sequence wf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 380599\/560 - 4756\/7. What is the common denominator of z and ((-5)\/(-12))\/(2\/45)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33\/683 + 46467\/13660. Find the common denominator of t and 117\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -3*g**3 + 4*g**3 - 6*g**2 - 3*g**2 + 18*g - 12 - 8*g. Let v be p(8). Solve 3*y + 2*x - 1 = 12, v*x = -5*y + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -6*x + 385. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1214883?\nAnswer: 3, 23, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 962 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5 + 7 = 0. Is 140\/(-6)*p\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47510580 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -434 + 704. What is the greatest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118609860 divided by -3?\nAnswer: -39536620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10215677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 11*d - 6. Let y be j(3). Let o = y - 9. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 0 in ascending order.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-26 + 26)*3\/6. Let l(j) = -11*j + 8. Let t(q) = -5*q + 4. Let m(b) = -4*l(b) + 9*t(b). Give m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 842790251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3011900\/406 + (-6)\/(-21). Let v be (4\/(-14) - (-90)\/1050) + 74178\/(-10). Let j = v + a. Find the common denominator of 65\/4 and j.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 5 = 211*v - 214*v, 0 = -5*o + 4*v + 23 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -50514657.2 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 6 = 18. Find the first derivative of 0*m**3 + 2 - 6*m**3 + 4 - f*m**3 wrt m.\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*g + 580 = 580 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**2 + 0*b**2 + b**2 + (b - 2*b + 0*b)*((3*b + b - 2*b)*(5 - 5 + 2) - 2*b - 2*b + 8*b) + (-1 - 2 + 4)*(-3*b**2 + 1 - 1).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-8)\/(-6))\/(4\/18). Let v be (-1)\/(2 + (-20)\/8). Let s = c - v. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-6\/5)\/a*a*(a\/((a\/a**6)\/a))\/a*(a\/(a\/(a*(a*a**(-2\/19)*a*a)\/a)))\/(a*a*a\/((a**8*a)\/a)) assuming a is positive.\nAnswer: a**(1206\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/2*(-8)\/(-3). Suppose -3*n + n = 3*s + 4, 3*n + 6 = 2*s. Let z be s\/(-2) + -6 + 9. Solve z = -d*w + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(117) + -1)*1 - sqrt(52)\/(-4*2*sqrt(4))))**2*-2.\nAnswer: -73701\/32 + 225*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 42\/(-56) - ((-62)\/30)\/((-88)\/110). Sort 3\/22, 0.2, 0.1, -0.3, h in descending order.\nAnswer: 0.2, 3\/22, 0.1, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/1 + 6 + -13. Let w(r) be the first derivative of r**6\/360 + r**4\/6 + 2*r**3\/3 - 1. Let b(m) be the third derivative of w(m). What is b(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16324 = -17*p + 16664. Solve -28*x = 160 - p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000 - -10100001?\nAnswer: 10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 951 - 3487 = -6*f, -2*f + 844 = -2*g. What is the remainder when f is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {q: 2, g: 1, f: 1, o: 1, i: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, x: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 312  (b) -5  (c) 6  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 715.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 AM and 12:37 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 + 20. Suppose 13 = -3*g - 2*a + a, o = -5*a + 10. Is (526\/g)\/((-2)\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (3 + 44\/(-12))*(-63197 + (-17 - -10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 197 divide 1132356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of -11*k**8\/28 - 3*k**4\/4 + 22*k. Find the third derivative of r(c) wrt c.\nAnswer: -2640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/28*(-7)\/((-91)\/(-8)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = 3*x - 2*z, -2*x - 56 = -z - 2*z. Let r = x + 17. Let p(w) = 2*w + 1. Give p(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21776 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*z**2 + 2*z**5 - 4*z**2 - 2*z**4 + 2*z**4 - 2*z**5 + (-2*z - z + 2*z)*(-95 - 35*z**4 + 95).\nAnswer: 35*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 166694893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4358255761 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(448) + sqrt(448) + (sqrt(448) - (1 + sqrt(448) - sqrt(448))) + sqrt(448) + -1) + sqrt(77)\/(sqrt(176) + sqrt(44)) + 5)**2.\nAnswer: -1149*sqrt(7) + 1029739\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3225?  (a) -3  (b) -5  (c) -0.2  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5402236 - 666?\nAnswer: -5403235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 119996673073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/25, 0.3, -0.2, -2\/13 in descending order.\nAnswer: 0.3, 1\/25, -2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -208 - -208.097. Let l = n - 72.097. Let i = 72.00000465 + l. What is i rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 4*c. Let l(x) = -34633290*x. What is l(h(n))?\nAnswer: -138533160*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1936) - sqrt(1936)*-2 - sqrt(16) - sqrt(48)\/sqrt(3)*-6)\/(sqrt(18) + sqrt(108)\/sqrt(6)*-3 - sqrt(18)).\nAnswer: -76*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*h**3 - 31*h**3 - 29*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2, 9, 32, 73, 138, 233?\n\"Answer: r**3 + 4*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (24\/10)\/((-38)\/(-95)). Calculate the highest common factor of k and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l. Let s = -1 + 11. Let a be b(s). Let h be ((-15)\/a)\/(3\/(-8)). Solve -v - 6 = -h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p*p**1*p*p*p)**27*p**3\/p**(-4))\/((p\/(p**0*p))**(-7)*(p**1)**40) assuming p is positive.\nAnswer: p**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.129 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81458804.\nAnswer: 2, 7, 2909243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + 5*c - 2. Let g be k(3). Suppose -264*q - 10 = -269*q. Suppose -q*y + g*y - 18 = 0. What is the biggest value in 0.4, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-74415)\/9471)\/(2\/14).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69353.26mg to grams.\nAnswer: 69.35326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 d, and 1 k when three letters picked without replacement from wwdddwwdwkwwdd?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2161029893 to the power of 1\/2, to the nearest integer?\nAnswer: 46487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18149723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of 6101*m**4\/24 - m**3\/6 - 7*m**2. Let c be g(1). What is c rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 327774 = 4*t, -3*s - 44740 = -6*t + 446924. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r - 1. Let g(p) = -3*p - 23. Let i be g(-20). Let c = i - 34. Let b be v(c). Solve 2*o + 3 + 12 = -b*t, 3*o + 18 = -3*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 - -30. Suppose r*v + 14 = -126. Let q be 15\/v - 100791\/12. Round q to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 5, -52 in increasing order.\nAnswer: -52, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -45*w**2 - 7*w + 47. Let v(j) = -23*j**2 - 4*j + 24. Give 4*o(k) - 7*v(k).\nAnswer: -19*k**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -4*r**3 - r**2 - r + 3. Let i(p) = 22*p**3 + 5*p**2 + 7008*p - 15. Determine i(h) + 5*y(h).\nAnswer: 2*h**3 + 7003*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57542, 57503, 57464, 57425, 57386, 57347?\nAnswer: 57308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*o, d = o + 9 + 3. Calculate the smallest common multiple of d and 34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - ((4 - 3 - 5) + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(1\/2)*v))\/v*v*v**(-4)*v assuming v is positive.\nAnswer: v**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(500) + -3 + (sqrt(500)*-1 - sqrt(500))) - ((sqrt(20) + sqrt(80))\/sqrt(4) + sqrt(5))**2*-3*-6.\nAnswer: -1449 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -10. Sort -5, r, -1, 1 in decreasing order.\nAnswer: r, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -195  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9017376 divided by -1392?\nAnswer: -6478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-16)\/8)\/((-1)\/6*1). Let a(m) = -11*m**3 - 1 - 5*m - 2*m + z*m**3 + 4*m - 4*m**2. Calculate a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 1691*l**2 + 99*l + 12. Determine a(1).\nAnswer: 1802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from jjjfjjjjijjjjfjijf.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 3*j - 2393 = 0, -9*j + 8*j = 3*y - 1439. What is the highest common factor of 148 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y**(2\/7)\/y))\/((y*y**(3\/2))\/y))**(-3\/28)*(y*y**0)**(2\/57)*y**4\/((y*y**0\/y)\/y*y) assuming y is positive.\nAnswer: y**(89647\/22344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {v: 7, u: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -110, -885, -2948, -6929, -13458, -23165, -36680, -54633?\nAnswer: -77654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13622*m = 13680*m - 1102 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59, -132, -207, -278, -339, -384, -407, -402?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 92756744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of 5*z**4\/4 - 4*z**3\/3 + 3*z**2\/2 + 2*z + 73. Let u(k) = -21*k**3 + 17*k**2 - 13*k - 9. What is -9*i(j) - 2*u(j)?\nAnswer: -3*j**3 + 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1021020000110 (base 3) to base 15.\nAnswer: -d48c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3853, -3857, -3861, -3865, -3869, -3873?\n\"Answer: -4*x - 3849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 34540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 17*f - 11. Let q be m(13). Let a = q + 139. Calculate the highest common divisor of 95 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2.54 and 92045847199.\nAnswer: 92045847201.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 16*d + 18. Which is the closest to d?  (a) 4  (b) -1  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 3*g**2. Let u(z) be the third derivative of -z**4\/12 - z**3\/3 - 22*z**2. Determine u(o(a)).\nAnswer: -6*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -0.09, 5 in ascending order.\nAnswer: -0.09, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -125284 divided by -22?\nAnswer: 62642\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 2*m**3\/5 + 66*m**2\/5 + 102*m - 578\/5 = 0?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/21, 3, 0.03, 0.3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 + 25. Let a be r(-5). Let f(m) = -m**3 + m - 7. Give f(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x + 1. Let y(f) = -84. Let m(t) = -3*s(t) - y(t). What is the first derivative of m(z) wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-3 + 0) - ((-29 - -52) + -44).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1397 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, d: 1, v: 10, i: 1, k: 4}. What is prob of sequence wviw?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.866 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.42749 less than 0.03?\nAnswer: -0.39749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 248714 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*5*(-5)\/(-100)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.754 * -423328.\nAnswer: -319189.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 15297, 15298, 15299, 15300, 15301, 15302?\n\"Answer: b + 15296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -208, -208, -224, -262, -328, -428?\n\"Answer: -k**3 - 2*k**2 + 13*k - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 6:01 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = a - 9 - 9, -4*a - 5*w = 13. Let y(o) = 2*o**2 + 18. Let j(d) = -d**2 - 6. Let t(p) = a*y(p) + 8*j(p). Find the first derivative of t(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 + 3)*(1 + 1 + 0)*(4*p - 3*p + 2*p) to h + m*p and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1 - 4)*(3 - 7 - 1)*(-4*q**3 - 2*q**4 + 4*q**3)*(18 - 23 + 18).\nAnswer: -780*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6321 divided by -38?\nAnswer: -6321\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -55b3 (base 16) to base 7\nAnswer: -120651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 3*z**4\/8 + 309*z**3\/4 + 38331*z**2\/8 + 84915*z - 421362 = 0.\nAnswer: -108, -51, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -11*y + 36. Give x(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-68 + 52 - 22) + 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (13\/(-3))\/((-6)\/54). Let q = l - 45. Let s be 84\/(-16)*16\/q. Solve 0 = 5*u + 11 + s, 5*u + 20 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 - 21*g + 53. Let u be m(-23). Let a(o) = o**3 - 9*o**2 + 9*o + 3. Determine a(u).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 5587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -236*l**2 - 274 wrt l?\nAnswer: -472*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -128 at most as big as -1683\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of 0 - 2*a + 7\/3*a**3 + 0*a**2. Let m(f) be the third derivative of f**5\/60 + 3*f**2 - 22. Give p(m(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 256a9 + 10858?\nAnswer: 36456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 5*u**2 - 8*u - 8. Suppose -4*t - 24 + 8 = 0. Let d = 12 + t. Let w(a) = 3*a**2 - 5*a - 5. Let h(g) = d*w(g) - 5*z(g). Let b(q) = -q. What is b(h(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 106, 105, 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51 + 9. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = o - 7. Let p(g) = g**3 + 7*g**2 + 7*g - 6. Calculate p(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 6*m + 3*m)*((-m - 2*m + 2*m)*(0*m + 3*m - m) + 6*m**2 - 5 + 5).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(576)*2 + (sqrt(9)*-1*-3 + sqrt(9) - sqrt(9)))\/((3*(sqrt(27) - sqrt(27)*-1))\/sqrt(9)))**2.\nAnswer: 361\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 5. Let t be (-6 - -6)\/(2\/(o\/(-2))). Suppose -71 = -5*s + 3*b, 4*s + b = -t*b + 67. Calculate the remainder when 45 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 3*s - 38, 0 = 4*s - 3*w - 27 - 7. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + i - 3*r = -23, 27 = -3*i + 2*r. Let h = -2 - i. Let t be (27\/(-6))\/(1\/(-10)). What is the greatest common factor of t and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21551\/3 + 7184. Which is the closest to -5?  (a) -0.5  (b) 1\/4  (c) v  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3790.9 - 3791. Let z = -1.84 - -1.5. Let g = 0.06 - z. What is the second biggest value in 2\/3, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h. Let k(c) = -15*c**2 - 91*c + 28432. Calculate q(k(d)).\nAnswer: -30*d**2 - 182*d + 56864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 8326500 to the nearest 100000.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*o**2 - 339042*o + 72*o**2 + 339042*o.\nAnswer: 156*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -9. Suppose -x - l*z = x - 40, 5*x - 100 = 3*z. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c - 30, 2*x + 225*c + 4129 = 5469 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 - 120\/(2 - 5). Suppose z = 9*w - 12. Let x be ((-2)\/5)\/((-2)\/20). Solve b + w = -a, 6*a + b = x*a - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 299788726.\nAnswer: 2, 19, 37, 79, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 2:17 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of b**2 - b - b - 1 + 0. Find the first derivative of q(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/(w\/(w**(-1\/20)*w))))**(-35) assuming w is positive.\nAnswer: w**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*16 + (-20)\/10. What is the highest common divisor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -306*h - 27107. Calculate w(-89).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 4*d - 28, 2*q + 7 = 3*d - 2. Let t be 64\/q + (-4)\/6. What is the units digit of (t\/(-9))\/(4\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87334 is divided by 29105.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 2. Let h be -28 + (-1 - -1)*x. Let o = 57 - h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1059*t**4 - 35781*t**3 - 84*t**2 + 1104*t + 116 wrt t.\nAnswer: -25416*t - 214686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 1221\/197?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-180))\/(1\/15)*-33.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3621 = 102*q + 5617 - 6790 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -1*sqrt(153) + sqrt(153) + sqrt(153) - (sqrt(153) - (0 + -1*sqrt(153))))**2.\nAnswer: 30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 3. Let r(f) = 2*f. Let x(m) = 4*m. Let n(c) = 3*r(c) - 2*x(c). Give n(w(b)).\nAnswer: -2*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-400158)\/(-645) + ((-4)\/(-5))\/(-2). Solve -5*m - 630 = -i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 113, -3 in descending order.\nAnswer: 113, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 - 31572*z - 31576.\nAnswer: 4*(z - 7894)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4629, 9568, 15141, 21666, 29461, 38844, 50133?\n\"Answer: 53*t**3 - t**2 + 4571*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3972 + 592 = 0. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4*m**3 - 49*m**2 + 10*m + 16. Let l be d(-12). Let w = -130 - l. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 4*y = 74, -4*a - 8*y = -6*y - 118. Suppose 6*r + r = 112. Calculate the remainder when a is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 2:44 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**4 + 202*r**3 - 6*r**2 - 602*r + 404 = 0. What is r?\nAnswer: -101, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/7*b**2 + 0*b + 0 - 4\/7*b**3 = 0. Calculate b.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**2. Let j(p) = -p**2 + p + 1. Let v(g) = -4*g + 2*g + 7*g + 62*g**2 - 50 + 56. Let z(d) = -6*j(d) + v(d). Determine z(t(s)).\nAnswer: 272*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2134580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*j**4 - 1716*j**3 + 1774884*j**2 - 3544604*j + 1771440 = 0. Calculate j.\nAnswer: -915, 1, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 0 - 1\/15*a**4 - 1\/6*a**3 - 1\/5*a**2 - a - 1\/100*a**5. Factor x(r).\nAnswer: -(r + 1)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 13*t**2 - 9*t. Let b(w) = 7*w**2 + 12*w + 280. Let c(s) = 6*s**2 + 11*s + 252. Let n(a) = 9*b(a) - 10*c(a). Give 2*g(i) - 9*n(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6329*m**6 + 4*m**2 + 2*m - 21 wrt m.\nAnswer: -759480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 393*o + 116. Let d be y(-16). What are the prime factors of d\/(-14) + (-10)\/(-70) + -3?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25959?\nAnswer: 3, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23.64 + 21.64. Sort 0.2, 245, p, 1\/8 in decreasing order.\nAnswer: 245, 0.2, 1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13180809 less than -13180808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 511 (base 7) to base 10\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 111557419, 111557422, 111557427, 111557434, 111557443, 111557454, 111557467?\nAnswer: 111557482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(8)*4 - sqrt(8))*3 + sqrt(16)\/(-1*sqrt(288)).\nAnswer: 251*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*g*p**4 - 2*g*p**3 + 102*g*p + 6101*g - 147768*p**4 + 3*p**2 wrt p?\nAnswer: 72*g*p - 12*g - 3546432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(7\/2 + -3). Let t be ((-3)\/(-2))\/(l\/2). Solve 0 = t*n, -4*n = g - 4 - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*s + 26*s - 89*s**3 - 104*s + 60*s.\nAnswer: -89*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**3 + 13*l**2 - 16*l - 9. Calculate v(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 1 - 4 - k + 18*k**3 + 4. Let c be t(1). Let i = 20 + -18. Solve 5*l - s + c = 0, -l - 4 = -i*s + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1501360, 3002715, 4504056, 6005377, 7506672, 9007935, 10509160?\n\"Answer: -u**3 - u**2 + 1501365*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 634 is divided by 77?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g + 3. Calculate d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2528*b**2 - 2525*b**2 + 5047*b**2. Let r(c) = c**3 + 3*c**2 - 6*c - 3. Let d be r(-4). Let l(s) = s - d*s + 6*s. What is m(l(v))?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 340*w + 14. Let x(r) = -2*r**2 + 306*r - 14. Let a(i) = -6*f(i) - 7*x(i). What is a(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6560 by -6.\nAnswer: 3280\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -105361 + 156440. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -8.23, -3340, 0.1, 1\/11?\nAnswer: -3340","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - l**2 + 0)*(-767 + 747 + 855 + 4*l**2 - 3*l**2) as x*l**3 + n*l**4 + g + z*l**2 + q*l and give z.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1734, -9126, -25518, -54240, -98622, -161994?\nAnswer: -247686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1082691 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + 17 + (35 - 22) + -22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (2 - (4 + -60)) + (-12 - 0)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -365 - 99. Let c be w*2\/14 + 1. Let v = c + 65. Are v and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2685*a + 547*a + 43070 = -1075*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 4, 42.\nAnswer: -3, -2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11319769169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, 5, 2, 17 in descending order.\nAnswer: 17, 5, 2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s - 70*s = 1612. Is -268\/9 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17405 + -11950. What is the smallest common multiple of 3 and b?\nAnswer: 16365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -5*t. Suppose -4*d + 2 - 10 = t. Let u be d\/5 + 21\/15. Put 0, u, 2 in ascending order.\nAnswer: 0, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 109\/5, -0.5, -1\/4, 147 in decreasing order.\nAnswer: 147, 109\/5, 1, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -10) + (6 - (17 - 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 0*a - 3. Let l(q) = -11*q + 2. Let r be l(a). Let s be (-6)\/3*r\/2. Solve 4*f + s = 3*z, -7 = -z + f + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**2 + 5*y - 5*y. Let n(q) be the first derivative of q - 2. Let b(d) = 5*d**2 - 20. Let r(s) = b(s) + 20*n(s). Give r(o(g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -2*g**3 - 26*g**2\/3 - 16*g\/3 + 8 = 0.\nAnswer: -3, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 74 and 962.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 11*b**2 + b + 1. Suppose -n + 1 = r, n - r - 2 = 1. Let s be n*(3\/(-6) + 0). Give y(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 448350768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6975 and 2511.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -20*h**2 + 5*h - 5*h. Let b(s) = s + 4. Let n(y) = 46*y - 16*y - 24*y + 22. Let k(c) = 11*b(c) - 2*n(c). Give k(z(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 12:54 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -3*b + 6. Let w be ((-6)\/7)\/(27\/(-1323)). Suppose 72*i + w = 79*i. Calculate p(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31708451, 31708450, 31708449, 31708448?\nAnswer: 31708447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 9) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((4 + sqrt(325)*-2*3 + -2 - (sqrt(325) + (sqrt(325) + 0 - sqrt(325)) + 2 - -3*(sqrt(325) - (sqrt(325)*1 + sqrt(325))))*-2) + -3)**2.\nAnswer: -300*sqrt(13) + 32509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (344\/(-16) - 187\/(-11))*4\/1044*-2.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1537361, -1537413, -1537609, -1538021, -1538721, -1539781, -1541273?\nAnswer: -1543269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-21) - ((-380)\/(-252) - 1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198079 is divided by 9002?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 30*y + 23. Give z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/28304 and 47\/88.\nAnswer: 311344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 5*q - 15. Let x be i(3). Let l = 12 + -10. Let b(w) = 8*w - 10*w + w + l + x. Let d(r) = r. Determine d(b(j)).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 + 17*o + 146. Determine z(24).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of -o**5\/60 - o**2. Let a(u) = 3*u**2. Let s(m) = 3*a(m) + 6*r(m). Let l(t) = -4*t**2 + t**2 + 2*t**2. Calculate l(s(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129613 + 107*i**2 - 213*i**2 - 129613 + 117*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0\/2)\/(21 - 24). Solve -2*h + h = -5*a - 17, -2*a + 2*h - 10 = s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 69*h + 21. Let d(b) = 7*b + 2. Let w(t) = t**2 + 3*t - 212. Let k be w(13). Calculate k*p(c) + 42*d(c).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56885, 113054, 169225, 225398, 281573?\nAnswer: 337750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14148)\/(-10611) + 2\/(-2) + (-2)\/(12\/(-154)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 0 + (-9 - -9) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*r + 448158 - 15714. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*i = 75*i + 312*i - 21160 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3822*r - s = -3818*r + 5*s - 52, -22 = 2*r - s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 - (-46 + 2100\/126)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -6*c + 80. Calculate the remainder when c is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3, -1, 2, -630, 1, 0?\nAnswer: -630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 - -1) + (6 + 2 - -40)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1392)\/(-24))\/(-29) - 1)*(1 + 9).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1*-1)\/4 + (-195)\/(-60). Let v be 25\/(-30)*(l - (-57)\/(-15)). Factor v*k + 0 + 1\/3*k**2.\nAnswer: k*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 6*i - 3*i)*(-67 + 329*i - 94 + 159).\nAnswer: 1645*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -777*q**2 - 30814 + 30814.\nAnswer: -777*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -442*c + 345*c + 422*c - 336*c**3 - 69*c**3 wrt c?\nAnswer: -2430*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.30812859 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 1:29 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 6 + (13 - (8 - -10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 160 - 34 = 0. Let u = m + -40. Let y(t) = 5*t - 12*t**2 + 24*t**2 - 15*t**u - 4. Determine y(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - s - 6 = 0, -7*a + 345*s - 158 = 350*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 348178*-3\nAnswer: -1044534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -662 divided by -1385\nAnswer: 662\/1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -5 + 2. Is 3 a factor of (-34)\/i*3 + -7 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + (-14288)\/(-16) + -13 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 5*r - 31 = 0, -4*r + 15 = 2*i - 5. Suppose 0 = -i*s + 5*s - 5*a - 13, a = 3*s - 11. Calculate the highest common factor of s and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from hss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 689?\nAnswer: -2\/689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of 13\/6*i**3 + 6*i - 1\/12*i**4 - 7\/2*i**2 + 0. Let p be t(12). Solve -4*o = 3*h + 24, 0 = -p*o - 2*h - 3*h - 35 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00033852273 to 7 dps.\nAnswer: -0.0003385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/6 + 2\/(-6). Suppose 11 = u - 2*m, -u - 4*m + 154 = 161. Suppose 0 = -4*t - 4*v + 892, 5*t + j*v = u*v + 1115. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**5 - 204*r**4 + 594*r**3.\nAnswer: 2*r**3*(r - 99)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 818 and 129653?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-6)*342\/180. Let s = u + 1\/12. Which is the smallest value?  (a) s  (b) -3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 11*c**2 - 7044 + 3491 + 3553. Let w(s) be the second derivative of -s**4\/12 + s. Give h(w(r)).\nAnswer: 11*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -20731525.46 to the nearest 1000.\nAnswer: -20732000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1402563, 2\/3, 0.5, 2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**2\/6 + 453*d\/2 + 1361\/3 = 0.\nAnswer: -2, 1361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54 and 20217?\nAnswer: 363906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4\/15 of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 5*b - 140, 4*i = -5*b + 6*b - 5. What is the remainder when 174 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 817304 or 817305?\nAnswer: 817305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 5)*(3*f - f + 10*f) - f + f - 2*f + (3*f + 3*f - 4*f)*(3 + 0 - 6) to the form u + x*f and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 8*r - 7. Let v be c(5). Suppose 5*i + 3*f - v = 83, -3*i = -3*f - 60. Is 488\/i + (-2)\/11 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3*d - 2. Let u = 429 + -427. Let o(j) = 2*j + 7. Let s(i) = 4*i + 7. Let n(h) = 6*o(h) - 5*s(h). What is u*n(l) + 7*x(l)?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15.4?  (a) -0.14  (b) 1  (c) 62  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 402 - 366. Suppose -2*n = h - 21, -3*n + 6*h - 3*h = -w. Let r = 128 - 63. Calculate the remainder when r is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 512*n**3\/7 + 2545728*n**2\/7 + 318210*n\/7 + 9944\/7 = 0 for n.\nAnswer: -4972, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = 5*d - 19, 5*t - 8 - 3 = -2*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35248.19 kilometers to micrometers.\nAnswer: 35248190000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 2:31 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -y + 4. Let n(j) = 2*j + 166 - j - 162. Calculate n(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of -f**4\/3 - 20*f**3\/9 + 26*f**2\/3 - 28*f\/3 + 349. Factor x(d).\nAnswer: -4*(d - 1)**2*(d + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 2773980.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + -1 + 9 + -7. Find the second derivative of 172*f - 29*f**2 + 285*f**s - 30*f**2 + 24*f wrt f.\nAnswer: 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5311679?\nAnswer: 109, 48731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 25\/4 of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r - 3*r + 2*r**2)*((0 + r + 0)*(1 - 1 - 1) + 2 - 2 - r)*(-6 + 11 + 14).\nAnswer: -76*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -535 - 230 = -5*u. Is (-5)\/(-10) - u\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 37 = 39*j - 15. Solve -6*q + j*q = -10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 346*x + 24*x - 6660 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 125123 + 125?\nAnswer: 125251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29820 - -31212. What is the biggest value in a, 0.2, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -16, 2*m - 6*m + 108 = -i. Suppose g = 5*g - 20. Suppose 4*d = g*t - m, -t + 2*d = -3 + 1. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 311274 and 518790?\nAnswer: 1556370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3 + 94*o**2 - 1056*o - 1152.\nAnswer: -2*(o - 24)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l**3*v*w**2 + l**3*v - 103*l**3*z**2 - l**2*v*w**2*z**2 + l**2*v*z**2 + 2*l*v*w**2*z - 2*l*v*z**2 + v*w**2 wrt l?\nAnswer: -12*v*w**2 + 6*v - 618*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -537643 by -28297.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 102147 = -3*w, 2*w - 11*b - 68076 = -6*b. What is the ten thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 50*a**2 + 3*a - 3*a. Let p(j) = 25*j**2 + 17*j + 714. Let r(v) = 3*v**2 + 2*v + 84. Let u(x) = -6*p(x) + 51*r(x). Give u(d(s)).\nAnswer: 7500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5074, 10166, 15258, 20350, 25442, 30534?\n\"Answer: 5092*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2193 + -0.0193. Which is the closest to 0.56?  (a) o  (b) -1  (c) 0.1  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 722834 and 2168502.\nAnswer: 2168502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*r**3 - r - 664*r**3 - 534*r**3.\nAnswer: -1134*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212*d - 3258 = -31*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8304 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-2\/17)*m**(-2\/3)*m assuming m is positive.\nAnswer: m**(11\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 5*w - 798, 3*w - 462 = -a + 4*a. What is the remainder when w is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q*r**3 + 405*q*r - 48*r**3 - r**2 wrt q.\nAnswer: -r**3 + 405*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8835380?\nAnswer: 2, 5, 19, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*x = -14, x - 1 - 1 = 5*h. Suppose 0*l - 3*l - 4*k = 19, -3*k + 22 = -5*l. Let o be (0 - -3)\/((-12)\/16). Sort o, h, l.\nAnswer: l, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = -5*x + 7645. Calculate the greatest common factor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -3 + 0 + 1 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*n + 2*b, -2*b + 0*b = 5*n - 1. Solve 0 = l + n*h - 6 - 8, h - 26 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2132 divided by -13.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 8*k**2. Let r(y) be the third derivative of -y**4\/12 - 17*y**2. What is w(r(d))?\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(3*(-8)\/108)*(-40)\/(-150)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 295 = 3*h. Is 1\/4*2 - h\/2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 101, 125, 147, 167?\n\"Answer: -i**2 + 27*i + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -11 - -17) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -241?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 4*h + 2*g + 6, -2*h + 6 = 2*g. Suppose -2*q + h = -5*q. Is -1\/2 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -111 + 104.9. Let s = -3.1 - h. What is the second biggest value in 5, 2\/3, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3122 and ((-14)\/49)\/(3\/(-126)).\nAnswer: 18732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.45 less than 24.2?\nAnswer: 22.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 + 7*w**2 + 12*w - 28. Let t be z(8). Let v(p) = 0*p + 5*p + 3*p + 5. Is v(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2452051 + -2452061.99999. Let l = 0.26 - 11.26. Let z = h - l. What is z rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - 3*f - 5. Let c be p(5). Suppose -2*a + 25 = -g, -a - c = -2*a + 3*g. Calculate the remainder when 27 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -2*x + 49 - 126, 0 = 3*s + 5*x - 71. Suppose s*w - 10*w = 0. Suppose -3*f = -2*y + 366, y + w*f + 5*f - 183 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 10325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102, -121, -140, -159, -178, -197?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9874, 9801, 9682, 9517?\nAnswer: 9306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18043?\nAnswer: 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 3:21 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -919129 - -6.809.\nAnswer: -919122.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 138557170 - 0?\nAnswer: 138557170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 10 = 0, -i + 0*c - c = 1. Let r(v) = -v. Let f be r(-2). Suppose i*j + 94 = f*x, -3*j = 2*j - 15. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 68*r. Let m(q) = -9*q**2 - 8*q - 16. Let p(d) = -2*d**2 - d - 2. Let i(n) = -3*m(n) + 24*p(n). Calculate i(j(h)).\nAnswer: -97104*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*l + 4 = -15*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -10*((309\/135)\/(-1))\/(1082\/(-4869))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (-32 + 16 + 64).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.3, -2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h + 328 = -320. Suppose 0 = -k - 4*w + 284, h*k + 3*w - 588 = 25*k. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -534 + 2419. Let n = d - -17272. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159347 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3 - (-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 1 + 1)*(-3 - w + 3) + 0*w - 2*w + 4*w + 17158 - 76*w - 17158 + (2*w + 0 + 0)*(4 - 2 - 4) to the form c + k*w and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14 is divided by ((-88)\/22)\/((0 - 1)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33.1*0.1\nAnswer: -3.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 69820 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8 + -6 - (-1 - -48). Let v = f - -47. Solve -5*q = -3*i - 7 + 18, 11 = -i - v*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c. Let i(s) = -9*s**2 + 25. Determine k(i(v)).\nAnswer: -18*v**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 336 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8030 + -2671. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/4848 and -32\/2929?\nAnswer: 140592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8004.405m to micrometers.\nAnswer: 8004405000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5662954.\nAnswer: 2, 11, 257407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/110169 and 49\/81.\nAnswer: 991521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 4*z - 10, 0 = 5*y + 5*z + 5 - 80. Suppose y*g - c - 17500 = 10*g, -4*g + 2*c + 17500 = 0. Round g to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -262 - -290. Suppose -5*k = -3*m - 365, 2*k + 660 = -3*m - 2*m. Let i = m - -211. What is the remainder when i is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1933, 2098, 2361, 2728, 3205?\nAnswer: 3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 4311\/((-6)\/(-15)*1 + 6\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17922904 and 12382.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -115806186*a**3 + 1355*a - 2241?\nAnswer: -694837116*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 15*s**2 - 15*s + 11. Let y be o(-16). Which is the third biggest value?  (a) y  (b) 0.2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/115 and -103\/1104.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6397318.\nAnswer: 2, 3198659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/6 + 211\/6. Suppose y = 3*k + 2*x, -x + 19 = 5*k - 37. Suppose -12*r = -k*r + 23. What is the common denominator of r and 53\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24.131 + 0.131. Let u = m + 25. Let g = -1.5 - -3.5. Which is the closest to u?  (a) g  (b) 1  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -206937 * 1.81.\nAnswer: -374555.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z - 42 + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, l: 3, u: 3, g: 2, y: 4}. Give prob of picking 3 y.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2232.55 weeks to seconds.\nAnswer: 1350246240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of t**5\/150 + 7*t**4\/20 - 46*t**3\/15 + 356*t**2. Factor c(y).\nAnswer: 2*(y - 2)*(y + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52804498 is divided by 1645.\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 165265 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*n - s + 99, -4*n + 4*s + 50 + 135 = 31*s + 53 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10269065 or -10269062?\nAnswer: -10269062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 2)*(-2*x + x + 0*x)*(6 - 6 + 4)*(x**3 - 5*x**3 + 3*x**3 + 21*x) as q*x**2 + z*x**3 + p + o*x**4 + j*x and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -19*r**2. Let l(i) = 27*i**2. Determine c(l(g)).\nAnswer: -13851*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2642.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*q + 3)*(0 + 0 + 2) + 1116*q - 8077 + 8077.\nAnswer: 1112*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 361, 1817, 4239, 7621, 11957, 17241?\n\"Answer: -n**3 + 489*n**2 - 4*n - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (2 + -11) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/891)\/((2 - 15) + (-1314)\/(-99))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 838 divided by -1\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 6 = 0, -82 = -w + 2*b + 58. List the prime factors of w.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.4 and 0.2772.\nAnswer: 0.38808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*d - 1. Suppose -d*u + 19 = -17. Suppose 7*k - 2*k = 3*l + u, 2*k - 8 = -2*l. Solve 0 = -0*o - o + l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + (1*sqrt(68)\/sqrt(4) - sqrt(17)) - sqrt(17) - (3 + sqrt(17) + 5).\nAnswer: -8 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7879276\/3 or 2626425?\nAnswer: 2626425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/352 and 95\/24504?\nAnswer: 1078176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 15*u**2 - 81*u + 8. Give i(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2866721491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 895 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14706.1 - 14741.09915. Let n = -54 - -19. Let g = m - n. Round g to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1647\/34587*7*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of -3*z**8\/56 + 281*z**5\/10 - 827*z**4\/12 + z**3\/2 + 2*z + 1748. Find the third derivative of g(j) wrt j.\nAnswer: -360*j**3 + 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2182207 to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 2. Suppose -3*v + 4*g + 2 - 10 = 0, -3*g = -6. Let j = -10 + 13. Solve 3*b = -p*h + 9, v = -h + j*b + 2*b - 28 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -132 in -1.13, -5, 0.3, 5, -0.1, -1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.98 - 0.3. Let p = x + 1.01. Round p to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/6 - 28\/(-6). Let d(l) = l**2 + l - 6. Let a be d(z). Suppose -3*t = -2*r + 5*r - 18, -3*t - a = -3*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 538, -1\/5 in descending order.\nAnswer: 538, 0.2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 43317 - 50?\nAnswer: 43257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 3*c**3 + 6*c**2 + 7 - 2*c**2 - 6*c**2 - 8*c. List the prime factors of y(-4).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gfof when four letters picked without replacement from ggfggoggfgggggggg?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*1\/5)\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 35 = 5391*j - 5388*j, 2*z - 11*j = 63 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61605?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -i + i + i**2 - 1 - 2*i**2 + 1 + (0*i - 5*i + 3*i)*(-1 + 2*i + 1) + 63 - 26*i**2 - 103 + 39 as f + t*i**2 + k*i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19370 and -0.051?\nAnswer: 987.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, l: 9, u: 6}. What is prob of sequence qq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 PM and 12:18 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/14*81438\/209412?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 21 - 3 = -4*a, -5*j + 2*a + 16 = 0. Suppose 5*z - 313 = -p, j*p + 3*z - 1316 = -z. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.35 and -13.35446.\nAnswer: -4.674061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**3 - 2*n**2 - n - 2. Let c(p) = -3*p**3 - 3*p**2 - 3. What is 3*c(m) - 4*x(m)?\nAnswer: -m**3 - m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.4 - 5. Let f = 0.506 - -0.494. Which is the nearest to f?  (a) i  (b) -1\/3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3613598*i**4 - 5*i - 36773?\nAnswer: -43363176*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 56 - 52. Is (-120 + 14)\/(2 - p) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-13))\/(i*i**(-15)) assuming i is positive.\nAnswer: i**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 9 = -6. Let o be v + 34 + (-1 + 2)*1. What is the greatest common factor of 32 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*v = s + 24*v + 16, 4*s = -3*v - 10. Solve o + 5*n + 28 = 0, -5*o - 10 + 5 = -s*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 58 = m, -5*o = -2*o - 3*m - 24. Let r(y) = -2*y. Let h(l) = 4*l - 62 + 34 - l + 28. Give o*r(x) + 6*h(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3858252 is divided by 1085?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 47 and -648053412241.\nAnswer: -648053412194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 333082813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/64 and 45\/134.\nAnswer: 4288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.020555 rounded to four dps?\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-55)\/220)\/(4\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -2. Let x(m) = m**3 + 6*m**2 + 6. Let y be x(-6). Suppose t + k*q + y = 2, 4*t - q = 49. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c + 5*c + 8*c**2 - c - 3*c**2 - 22 - c.\nAnswer: 5*c**2 + 2*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 8. Let b = a - 3. Suppose b*k = 199 - 73. What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 14. Let g = q - 7.7. Let f = -4.3 + g. Put -2, 0.1, f in decreasing order.\nAnswer: 0.1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40673116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f - 5. Let j(t) = t. Let s(i) = b(i) + 5*j(i). Calculate s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 272, 545, 818, 1091, 1364, 1637?\n\"Answer: 273*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 47c - 208?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of -239*a**6\/30 + 269*a**4 - 3*a + 223. What is the third derivative of g(l) wrt l?\nAnswer: -5736*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168052684?\nAnswer: 2, 17, 401, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/3*(-6)\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of -391*q**5\/5 - 1223*q**2\/2 + 926*q. Differentiate p(k) with respect to k.\nAnswer: -4692*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 95333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30465604.\nAnswer: 2, 13, 585877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0\/(o\/o**(-2\/11)*o)*o**(1\/4)*o\/o**(-5))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/2)\/((-18)\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25 + 32. Let s(u) = 9*u**3 + 2*u**2 + u. Let h be s(-1). Let o be 7\/(-2*2\/h). What is the highest common divisor of o and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of -f**4\/12 - 2*f**3\/3 - f**2 - 18*f. Give y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*l - 2*p, 2 = l + 2*p - 3*p. Let g be 4\/(-10) + (-32)\/(-180) + 11\/9. Put l, g, -10 in increasing order.\nAnswer: -10, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*m + 89 = -901 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6853 + -68529\/10. Let m(n) be the first derivative of -1\/30*n**3 - t*n**2 + 16 + 3\/10*n. Solve m(f) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 392 - 176 = -18*f. Does 5 divide f\/36 - (-8407)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0062227 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.864 + -4868.864. Let l = -4867.9995999 - y. What is l rounded to 5 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*p*r**3*w + 8434*p*r**3 - p*r - 1797*p*w - 100*r**2*w - r**2 + 2*w wrt r.\nAnswer: 54*p*w + 50604*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u*u*u**(2\/27)*u)\/u*u*u**(-2\/27))\/(u\/(u\/(u*u**(-5))))**9 assuming u is positive.\nAnswer: u**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.4 - -0.1. Which is the second smallest value?  (a) 0  (b) -0.3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 3*t + 2. Let a be o(-4). Suppose -j - 5 = -a*j. Calculate the lowest common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1482795397 to the power of 1\/2, to the nearest integer?\nAnswer: 38507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.088136427 rounded to three dps?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 84075029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 1:28 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 2, 29\/69, -5, 1, -13?\nAnswer: 29\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-35)*q*(q*q*q**(-26))\/q*q*((q\/q**(-1\/46)*q)\/q)\/(q\/(q*q\/q**(2\/45))))**(2\/3) assuming q is positive.\nAnswer: q**(31003\/3105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -472674, -946980, -1421286, -1895592, -2369898, -2844204?\nAnswer: -3318510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2\/4 - 219*p\/2 - 441\/4.\nAnswer: 3*(p - 147)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 122973 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2329\/6 - -388. Let u = 592\/2121 + 2\/303. Which is the fourth biggest value?  (a) u  (b) -6  (c) -1  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jgljkkklalgllk. Give prob of sequence gllk.\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**4\/13 - 22*k**3 + 6800*k**2\/13 - 15584*k\/13 - 188928\/13 = 0 for k.\nAnswer: -164, -4, 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (5*-2*sqrt(1700) - (3 + sqrt(1700)*-1 + sqrt(1700) + sqrt(1700))) + (sqrt(1700) + 1 + sqrt(1700))*-4 + (sqrt(1700) + -1)*1)**2.\nAnswer: 4320*sqrt(17) + 550944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -66, -123, -192, -267?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.7 + 5.7. Which is the nearest to r?  (a) -0.3  (b) 9  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**3 + 0*g**3 - 4*g**3)*(-9 - 6*g**2 + 9) + (-2*g**4 + 5*g**4 - 5*g**4)*(4*g - 2*g + 0*g).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145101458?\nAnswer: 2, 283, 256363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*z, -3*x - 567 + 1602 = -2*z. Suppose 3*u + 2*u = 110. Calculate the remainder when x is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (32\/6)\/(((-2828)\/(-168))\/(-101)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*g = 35, -3*g - 12 = -3*y + 30. Let k(f) = f - 9. Let o be k(y). Let x = o + 5. Solve 0 = 4*p - 3*p + x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z - 21 + 71 = 0. Suppose z*u + 106 = 6. Are u and -18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02645418121 to four decimal places.\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 + -11. Suppose 2*k - 5*d - 1 = -p, 0 = -3*k - d + 21. Solve -q + 7 = -3*y - k, q + 2*y = -12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -6*b**3 - 14*b**2 - 5. Let t(x) = 24*x**3 + 57*x**2 + 21. Let y(q) = 21*j(q) + 5*t(q). Find the third derivative of y(d) wrt d.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g - g + 2*g)*(-5*g**3 + 3*g**3 + 4*g**3) - 265*g**4 - 167*g**4 + 62*g**4 to the form k*g**2 + j*g + c + q*g**3 + t*g**4 and give t.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - q = 143, -3*f + 6*f - 2*q = 425. Let o = -72 + f. Let v = o - 48. What is the remainder when 73 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -48339 - 1?\nAnswer: -4833a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 712 - 500. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 11 = 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 108 = 4*i, y + 3*y + 46492 = 46620 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 15 - -4 - 3) + 12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -77 - -82. Suppose -2*c = -x - 4*c + 18, -4*x + 7 = -v*c. Suppose 3*i - 528 = -x*i. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/252 and -71\/658?\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7603419?\nAnswer: 3, 1117, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 - -43. Calculate the highest common divisor of 65 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c + 13. Let p be h(10). Let v be 4 - (-2 + p)*-1. Solve 0 = -k + 5*t - 1 - 6, -5*k - 5*t = v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.4 + 0.39. Suppose -2*l = 5*x + 29, l - 7723 = -2*x - 7735. Which is the nearest to 0.1?  (a) 0.3  (b) -1\/4  (c) x  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 times 6.7?\nAnswer: 348.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**35\/t)**(26\/3) assuming t is positive.\nAnswer: t**(884\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/13, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 15*d**2 - 52*d. Determine o(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -93 - -92.9. Sort -0.4, -0.07, y in increasing order.\nAnswer: -0.4, y, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 678201, 678197, 678193?\n\"Answer: -4*g + 678205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 757894032*j**3 - 726363550*j**2?\nAnswer: 4547364192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-40)\/(-6))\/(64\/240). Let c be (-12)\/2*(-3)\/6. Suppose 5*z + c*d = 2*d + 24, -3*d + 24 = 3*z. Solve -z*a = 5 - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12584 is divided by 1599.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 2*z**3 - 899278*z**2 - 53962080*z - 809458200 = 0.\nAnswer: -30, 449699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 470446369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 5:24 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 5\/3, 58, -112, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**2\/2 + 156045*q\/2 + 110199879 = 0 for q.\nAnswer: -50562, -1453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.6553*-217\nAnswer: 142.2001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -6987*x**3 + 10*x**2 - 3*x - 11. What is the remainder when b(-1) is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 1 = -a, 14*g - 9*g = 2*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 85426 + 131813. Suppose 0 = 3*w + 17587 + l. What is w rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7\/2 + (-2)\/4. Let h(g) = -3*g**2 - 7. Let k(n) = 7*n**2 - n + 16. Let m(b) = 5*h(b) + 2*k(b). Calculate m(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w - 42*w + 240*w in the form a*w + j and give a.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from {c: 1, p: 1, j: 1, v: 2, x: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1611, -3231, -4851, -6471, -8091?\nAnswer: -9711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/8*(-81)\/3 + -3. Which is the second smallest value?  (a) 0  (b) 0.07  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 + 4)\/((-2)\/2). Let z = 17 + p. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (30 + -10)*21\/(-42)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 + 190\/(-15))\/((-1)\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, f: 4, g: 1, l: 3, a: 2, z: 3}. Give prob of sequence gzzl.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w - 5*w + 7*w = 0. Let h(o) = -o + 207. Calculate the least common multiple of h(w) and 2.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -302 + 315 - -3*2\/3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2 + 37*u + 41. Let q(f) = f**2 - 19*f - 21. Let y(v) = 3*d(v) + 5*q(v). Is y(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.8 + -0.6. Let g = -27 - -27.1. Let d = 4.1 - g. Which is bigger: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126 and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*p - 24 = 8*p. Let n(j) be the second derivative of j**4\/2 - j**3\/6 + j**2 + 3*j. Is n(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*g - 8 = 2*v, -3*v - g - 13 = -42 + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c + 6 + 34 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33632972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2825 - -1627. Let r = 5889 - v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1028362046 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.0868 + 0.03\nAnswer: -0.0568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 289920, 289795, 289586, 289293?\n\"Answer: -42*o**2 + o + 289961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) -2  (c) -0.4  (d) -454  (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 62\/3 + (-2)\/(-6). Suppose d = 3*j - 2*j. What is the common denominator of 17\/7 and (-604)\/42 + (-6)\/j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.019098 to four dps.\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 302356, 604711, 907066, 1209421, 1511776, 1814131?\nAnswer: 2116486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 157 - 44*p**4 - 157 + 4*p**4 + 2*p**4 - 3*p**4 + (p**2 - 4*p**2 + 4*p**2)*(3*p**2 + 2*p**2 - 4*p**2) + 0*p**4 - 2*p**4 - p**4 + 2*p**4 - 3*p**4 + 2*p**4.\nAnswer: -42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7\/6 + 17\/12. Which is the nearest to 2?  (a) 2\/9  (b) d  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*h + 7*h = -84 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**3\/3 + 27*v**2\/2 - 28*v - 39. Let c be o(20). Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5\/77, -0.1, 2, -5, -42?\nAnswer: 5\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 5*y + 479 = 0, 5*q + 5*y = 4*y + 2419. Suppose -q*i + 479*i + 2475 = 0. What are the prime factors of i?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 246, 1931, 6498, 15387, 30038, 51891, 82386?\n\"Answer: 240*v**3 + v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of i**4\/18 - i**3\/9 + 13*i. Determine n so that y(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((-2 - 2) + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 61862, -109, -7, 4, -3 in decreasing order.\nAnswer: 61862, 4, -3, -7, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*q - 19*q + 2064 = 17*q + 27*q for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 33 - 21. Solve 12 = 3*c - 5*a, -r = 4*c + 5*a + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1038\/7 - 148. Let w = 836 + -765.7. Let j = 66.3 - w. What is the second smallest value in 35, 4, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1496\/569 bigger than 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1177\/18 + -65. Calculate the common denominator of -31\/45 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 8*h + 3*h**2 - 2*h**2 - 16*h - 10 + h. Let d be r(9). Differentiate 14*y**4 - y + 9*y - d*y + 30 with respect to y.\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**5\/4 - 359*f**4\/8 - 1015*f**3\/2 + 40915*f**2\/2 - 28754*f - 19552 = 0. Calculate f.\nAnswer: -26, -1\/2, 2, 16, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 63027.0819 rounded to the nearest 10?\nAnswer: 63030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 130 divide 1302600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**2 - 2*o**2 + 3*o**2 + 89*o**3 - 30*o**3 - 49*o**3.\nAnswer: 10*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-9)\/(-12))\/(4\/16). Let i = 7 + -4. Find the second derivative of 4*g + v*g - 3*g - 4*g**i wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -967 + 967 + 6*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 600 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 10377552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16763.00025594 - 16763. Round y to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-108)\/10*(-680)\/102. What is the lowest common multiple of 6 and (d\/(-16))\/((-3)\/248)?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyxbxxlbwxxx. What is prob of picking 2 x and 1 y?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 100272 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: Simplify (r*r*r**(-2\/7))**(-2)\/(r\/(r\/(r**(-7)*r))*(r\/(r**(-22)*r))\/r) assuming r is positive.\nAnswer: r**(-129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201040 is divided by 99562?\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 20650*h**3 + h**2 - 1. Let t be z(-1). Let x be (-118791)\/(-24) - 45\/(-120). Let y = t + x. Round y to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 5 + 2 + -1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 7  (c) 2  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*j + 224*j = 264. Sort j, -12, 2, -1 in ascending order.\nAnswer: -12, -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*z + 20. Let x = 2 - z. What are the prime factors of 2\/x*(0 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((10\/(-6))\/(340\/(-204)))\/(1\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16831 divided by -12.\nAnswer: 16831\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 407*u - 820*u + 411*u. Let t(l) = -3*l + 4. Let m be (-4)\/18 - (-34)\/(-9). Let i(s) = 14*s - 21. Let x(b) = m*i(b) - 21*t(b). Determine d(x(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3306, 6612, 9904, 13176, 16422, 19636, 22812?\nAnswer: 25944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 402*t + 152 = 383*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 926206 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 22 - -8) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 131337.002 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, w: 1, f: 1}. Give prob of sequence fccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 6*u + 2. Let y be n(-6). Let a be 10*(-3)\/5*(-16)\/6. What is the highest common factor of a and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f - 6. Let j be m(5). Let p(x) = -3*x**2 - x - 1. Give p(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2582287979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*g**3 - 5*g**3 + 39*g**2 + 3*g - 91*g**2 - 49*g**2 + 0*g**3 in the form h + u*g**2 + b*g**3 + q*g and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*d**3 + 19*d**2 + 6*d**3 - 19*d**2.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2598 and -3?\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -55*p - 72 + 182 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -3, 234, -4, -10 in increasing order.\nAnswer: -10, -9, -4, -3, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6a910 (base 14) to base 5.\nAnswer: 31302324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 60*l + 1. Let d(s) = -89*s - 2. Give 5*d(f) + 8*v(f).\nAnswer: 35*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 + 26*z + 63. Let s = -4189 + 4160. What is n(s)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bttxxbwbeebjbw. Give prob of sequence wbt.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (119\/(-28) - -4)*17 - (-1)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 2\/95, -4, -2\/7, 9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1233 + 1233.0983. Let a = 4.2683 - o. Let s = -0.17 + a. Sort -4, -2, s in decreasing order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*48.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 - 2.4. Let y = -8959 - -8961. Which is the nearest to h?  (a) y  (b) -2  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -30\/11, -775, 2\/3293?\nAnswer: 2\/3293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 - 0.6. Suppose -2*k = -2*x, 0*x + 3*x - 1 = 2*k. Suppose p + 4 = x. What is the nearest to d in 2, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000429199959 to 7 decimal places.\nAnswer: 0.0004292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*t - 1216 + 490. Calculate the least common multiple of 114 and t.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/(s\/s**2*s))*s*s)\/s**(-2\/15))\/(s**(-1\/7)*(s**(-3\/2)\/s)\/s)*(s*s**(-1))**(-18)\/(s**(-1\/6)\/(s\/(s*s**0*s))) assuming s is positive.\nAnswer: s**(173\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2135 + 2214. Calculate the remainder when q is divided by 69.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 255148*o**4 + 591428 wrt o?\nAnswer: 1020592*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 8300?\nAnswer: 24900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 340*l + 253. Give i(-2).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 15*j**2 + 8*j. Let x(t) = -10*t**2 + 3*t + 2*t - 5*t - 5*t. What is -8*x(w) - 5*y(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/12, 1\/2, -2003, -85 in decreasing order.\nAnswer: 1\/2, -5\/12, -85, -2003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xtxxxxnnttnxnxnnntn. What is prob of sequence txxn?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/19, -1, 26, 20?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.41 + 0.01. Let x = 0.88 - 40.88. Let r = x - -43. What is the third smallest value in r, -2, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 171099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/(sqrt(4) + sqrt(400)*4 + sqrt(4)).\nAnswer: sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32 - 28\/5*w + 1\/5*w**2.\nAnswer: (w - 20)*(w - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -5. Suppose 15*n + 21 = 8*n. What is the remainder when 33*1 + (-5 - n) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 725 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) -0.3  (c) 0.06  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.374 - -1.874. Let d be (-8)\/(-28) + 5 + -5. Sort 2\/13, d, f in ascending order.\nAnswer: f, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -1642*k. Let q(n) = -21*n**2 - 16*n - 8. Let o(m) = 3*m**2 + 2*m + 1. Let w(i) = -8*o(i) - q(i). Give b(w(c)).\nAnswer: 4926*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4, 12, 14, 10, 0, -16?\n\"Answer: -3*q**2 + 17*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 795145?\nAnswer: 5, 13, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -95*x**4 - 51666*x**3 + 19485200*x.\nAnswer: -1140*x**2 - 309996*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 at least as big as 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 5:02 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 186522 divided by 93261.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 635 and 65876805.\nAnswer: 65876805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1716 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + 518 - (-1 - -2 - 5). Suppose 16 = -518*t + i*t. Solve 13*r - 17*r - t = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 890520229 to the nearest integer?\nAnswer: 29842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/9)*r\/(r\/(r**0*r)))**(8\/11)\/((r**(2\/5))**3*(r\/r**1)**(4\/13)) assuming r is positive.\nAnswer: r**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14271216*g**3 - 128309509*g**2 wrt g?\nAnswer: -85627296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and (-1164)\/8*2\/(-3)?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2408 = -x, 0 = 104*x - 102*x + 8. What is the highest common factor of k and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0119514832 rounded to four dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fffj when four letters picked without replacement from fjij.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -2*a + 18, -40*w + 12 + 1006 = -288*w - a + 43 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1005667 is divided by 398?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2973?  (a) 5  (b) -58  (c) -4\/13  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -100*m + 97*m + 2*j - 13, -5*j + 16 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-3\/5)*m*m\/((m\/m**(-4\/7))\/m*m)*(m*m\/m**(-1\/6))**(-27) assuming m is positive.\nAnswer: m**(-4107\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2798549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 0. Let f = z - 4. Let l = f - -8. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 20 = 0, 3*d + 3*p - 4 = -1. List the prime factors of 594 + (d\/6)\/(8\/12).\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 44, 32559, 5?\nAnswer: 32559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 86, 274, -1\/6, 1\/2, -2\/21 in ascending order.\nAnswer: -1\/6, -2\/21, 1\/2, 86, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - g**2 - 2*g - 1. Let o be v(-2). Suppose 3*j - o*j = -8. Solve -4 - j = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-7) - ((-21522825)\/6146)\/1. Let k be 28020\/8 + 1 + -1. Let a = k - n. Is a less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33 + 35. Let k(x) be the second derivative of x + 1\/12*x**6 - 9\/40*x**5 + 0*x**b + 0 + 1\/12*x**7 + 1\/6*x**3 - 5\/24*x**4. Let k(g) = 0. What is g?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -79040  (b) 0.43  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 342779740 divided by 34277974\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-16))\/t**(-2\/107)*t\/(t\/(t*t\/(t*t\/t**(1\/37))))*t\/(t*t\/t**31) assuming t is positive.\nAnswer: t**(186254\/3959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4671\/4 - 1168. Let y = -0.06 + -2.94. Which is the third biggest value?  (a) 2\/5  (b) y  (c) h  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137 + 982*a + 116 - 268.\nAnswer: 982*a - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1102*m**3*w - 9*m**3 - 2*m**2*w + m**2 - m*w + 101641*m - 1 wrt m?\nAnswer: 6612*m*w - 54*m - 4*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (4 - 3) - (8 + -17 - -22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 224\/64*2\/35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -218*t + 211*t + 35. Suppose -5*w = t*s + 66425, -w + 4*s - 13265 = s. What is w rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 354 + -189. Suppose 0 = -3*s + m + 126. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.04 + 0.12. Let d = 231.08 - 235. Let k = i - d. Put -3, k, -0.3 in ascending order.\nAnswer: -3, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/64*(-32)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 2 - 2)*(32 + 9 + 17) + 5*j - 4*j + 0*j.\nAnswer: 117*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 - 16. Suppose -h + 682 = 5*g. Calculate the highest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 484\/33 - 2\/3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3839910 is divided by 7616?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*o**3*s**3 + o**3*s**2 + o**3*s*v + 4*o**2*s**2*v - 233*o**2*s*v - 2*o*v + 3*s**3*v wrt s.\nAnswer: -84*o**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.371 - -0.169. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -x + 62 + 3, -292 = -4*x - 4*l. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) 2\/7  (c) -7\/12  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3110  (b) 1579  (c) 0.1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 128*w**4 - 145*w**4 - 119*w**4 + (-w**3 - w**3 - w**3)*(0*w + 3*w - 4*w) + 2*w**4 + 2*w**4 - 5*w**4.\nAnswer: -134*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 3 + 3 + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 3*m + 144 = 30, -59 = -r - 2*m. Suppose 2*x - 77 - r = 0. Let s = x - -112. Calculate the highest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -271 + 514. Suppose -2*u + o + 201 = 40, -2*o - a = -3*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d**4 - 7*d**3 - 2*d**2 = 0 for d.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -4*j - 15, 3*l - 2*j = j + 9. Suppose 2*z = -l*x + 15, -x + 5*z - 9 = x. Is ((-185)\/15)\/((-1)\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 36\/3978*13 + 290\/136. Solve l - 3*z**2 + 3\/4*z**4 - 3\/2*z + 3\/2*z**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.178072 and 0.05?\nAnswer: -0.1089036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85 - 86 - 85 + 256 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60879671 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/(-12)*(210\/(-63))\/(2\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*((-2)\/(-5) - 207\/405). Put x, 3\/2, 4, -1\/7 in decreasing order.\nAnswer: 4, 3\/2, x, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 42\/11 - (-1)\/((-44)\/(-8)). Let z(i) = 26 - c*i + 6*i - 26. Let n(x) = 2 - 2 - 2*x**2. What is n(z(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - b + 24 + 76, -5*m - 2*b + 515 = 0. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -28*h + 1. Let n be m(1). Let b = -7171\/3 - -2420. Let v = b + n. Find the common denominator of v and 49\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 6*q**2. Let g be 6*4\/8 - -19*1. Let a = g - 20. Let t(s) = -8*s**2 + 3. Let i(l) = 7*l**2 - 2. Let h(n) = a*t(n) + 3*i(n). Give h(u(b)).\nAnswer: 180*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.00000035 - -1. Let c = u - 0. Round c to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110100010001010110111 + -11010101?\nAnswer: 110100010000111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2. Let u(k) = -6*k**2 + 7*k**2 + 20*k**2 + 13*k**2. Calculate s(u(j)).\nAnswer: 1156*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 28.50654 and 12.75.\nAnswer: 41.25654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gogoyxoooodgogdgn. Give prob of sequence dy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2531 - -4723. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 - q**2 + 68*q - q**2 - 561*q.\nAnswer: -3*q**2 - 493*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39)\/1248*-8)\/(((-89)\/(-1246))\/((-348)\/14)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = v - 54. Let m be (-3 - 6)\/(v\/(-84)). Let s = 68 - m. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-6))\/((-1)\/6). Let r be 1 + -14 + p + 5. Let n be (-4)\/r + (-28)\/(-5). Which is smaller: n or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 2*c = 32. Solve 0 = -4*f + c, -l + f - 6 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351*p + 3679 = 1818 - 2351 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.2  (b) 5  (c) 0.5  (d) 5\/3  (e) 20  (f) 7\/384\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -282492*d*l*x + 2*d*l - 345*d + 184*x - 2 wrt l?\nAnswer: -282492*d*x + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -38*k**3 - 40*k**2 - 2*k - 5. Determine l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2174323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 6*z + 2. Let f be h(-1). Let p be f + -15*1\/(-3). Solve -5*b - p = -6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*m**2 - 80841 - 43660 - 168332 + 15130.\nAnswer: 13*m**2 - 277703","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v = -27*v + 700. Let p be (((-63)\/v)\/((-9)\/60))\/1. Let w(c) = -c - 3. Let q be w(-6). Calculate the highest common factor of q and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 20 - 55. Let d = 10 - p. Let n be (-2)\/d - (-3)\/9. Sort -1\/2, n, 6\/5 in ascending order.\nAnswer: -1\/2, n, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3647809 to the power of 1\/2, to the nearest integer?\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -307, -287, -241, -157, -23, 173, 443, 799?\n\"Answer: 2*m**3 + m**2 + 3*m - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 224 and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -319, 1, 23 in decreasing order.\nAnswer: 23, 10, 1, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 5, 0.1, 12, 0.4 in increasing order.\nAnswer: -18, 0.1, 0.4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 - 2*c. Let d(j) = -7*j**2 - 20*j + 5. Let r(x) = d(x) - 6*s(x). Let g(f) = -f + 1. What is -5*g(k) + r(k)?\nAnswer: -k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/45117 and -46\/27.\nAnswer: 45117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 122614 or 122609?\nAnswer: 122609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of 0*w**3 + 0*w - 2 - 3*w**2 + 1\/8*w**4. Let z(c) be the first derivative of 14*c**3\/3 + 1. Determine z(t(j)).\nAnswer: 126*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -180261, -177725, -175189, -172653, -170117, -167581?\nAnswer: -165045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9976 is divided by 333?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 + 10*w**2 - 22*w + 9. Determine u(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**2. Let z(t) = 595*t**2. Give p(z(a)).\nAnswer: -1062075*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of 8*f**5\/5 + 8*f**3\/3 - 2. Find the third derivative of a(s) wrt s.\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 45\/(-18)*(6 - -1). Let q = 28 - 94. Let m = q - -48. Are k and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 10.797, 1\/3, -1\/244 in ascending order.\nAnswer: -1\/244, 1\/3, 10.797, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + o**2 - 4*o + 10. Let j be d(2). Calculate the least common multiple of 6\/(-120)*-164 + j\/10 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((68\/136)\/(2\/(-8)))\/(-33*3).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*88\/132*6\/50.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/7  (b) 0.2  (c) -8  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-5) + -3 + 39. Suppose -20*k - x = -23*k. Solve 2*u = -2*u - k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 33*n**5 - 18456*n**4 + 3153231*n**3 - 102498600*n**2 - 10796280000*n + 2952000000 = 0. Calculate n.\nAnswer: -41, 3\/11, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -5\/2*g**2 - 3 + 4*g. Find the first derivative of d(j) wrt j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 325\/((-386100)\/324)*22\/(-51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 642 - 1137 = 0. Suppose -4*z + a = -3*m, -327 - 453 = -5*z - 4*m. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27 - -29. Let x = b + -9. Sort x, -0.4, -1 in increasing order.\nAnswer: x, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -2*h + 5*i, -23*i + 19*i = -2*h + 24. Calculate the remainder when 79 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9624103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 7*o**2 - 3*o + 5. Let p(j) = 34*j**2 - 16*j + 26. Let u(s) = -16*k(s) + 3*p(s). What is the first derivative of u(b) wrt b?\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11667, -23449, -35213, -46953, -58663, -70337, -81969?\nAnswer: -93553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-2)*(1800\/(-625))\/12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 - 8*f**2 - 8*f - 5. Let d be 1\/(1\/(-14)*2). Let n be b(d). Suppose 8 = 2*o + n*o. What is the smallest common multiple of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -7621288\nAnswer: 1\/7621288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 19733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -329283 at most as big as 0.68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -175, -150, -93, 8, 165, 390, 695?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17.7 - -17. Let u = s - -5.7. Put -6, u, -1 in decreasing order.\nAnswer: u, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1035608.\nAnswer: 2, 7, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27 * 0.01.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 232223, 232226, 232229?\n\"Answer: 3*f + 232220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -30*v**2 + 67*v + 324. Let b(c) = 4*c**2 - 17*c - 2. Let m(i) = 14*b(i) + 2*x(i). Factor m(f).\nAnswer: -4*(f - 5)*(f + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1725 is divided by 109?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 8:06 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -742 - -747. Put -4, 43, q, -1 in descending order.\nAnswer: 43, q, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**3 + 2*v**3 + 1511*v**2 + 5102*v**2.\nAnswer: 2*v**3 + 6613*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*u - 424 = 4*u + 42 + 710 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 179575217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -204, 0, 1, -5, 14417 in increasing order.\nAnswer: -204, -5, 0, 1, 14417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-382)\/(-4) - 3\/6. Suppose -f + a = 5*r + 2, -2*f - 66 = -4*r. Let l be (12\/r)\/(2\/3). Is l at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -5*w**2 + w - 1. Suppose 1 - 79 = 13*u. Let t be (2\/u)\/((-1)\/3). Let m(x) = -x**2. Give t*i(p) - 4*m(p).\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.03*0.685\nAnswer: 0.02055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*r - 12 + 36 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58522 is divided by 152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 728 - 723 - 12*o**2 + 6*o**3 - 4*o**3 + (-2 + 0 + 5)*(6*o**3 - 8*o + 8*o).\nAnswer: 20*o**3 - 12*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - 19*f - 22. What is s(-9)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.09  (b) 4  (c) 291.7  (d) 214.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 817108 and 3108?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 - -2 - 48832\/(-4). Suppose t = 4*r - f - 26071, -r = 2*f - 9567. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v**2 + 4*v**2 + 25*v - 20*v. Let g(h) = -3*h**2 - 7*h. Give -7*d(y) - 5*g(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 295 divide 642578408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2985725431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(252))**2 - sqrt(252)) + 2)*-2*2 - (4*sqrt(252) + -5 - (sqrt(252)*2 + -3)**2).\nAnswer: -168*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3994)\/(-30) + (-4 - 116\/(-30)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/19))**(-2\/3)*d*d\/d**12*d*d\/d**(-2\/21))**(-32) assuming d is positive.\nAnswer: d**(33344\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 11 + (-3 - (2 - 4)). Suppose 0 = -5*g - 0*g + z. Solve g*c - 3*c = 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1331, 1301, -91, -2845?\n\"Answer: -681*o**2 + 2013*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -47.34 + 0.34. Let s = o + 46.99895. Round s to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*s - 17082 = -17202. Factor -2\/5*l**3 + 0*l**2 + 0*l**4 + 2\/5*l**s + 0 + 0*l.\nAnswer: 2*l**3*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-10) + (63\/(-35))\/(-3) + 28\/126.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/26733224 and -33\/184240.\nAnswer: 267332240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -310 + 328. Calculate the highest common factor of z and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.5 * 203\nAnswer: 1116.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 224 and 2.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 335566816 smaller than 335566816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(13\/3))\/z*z\/(z*z**(-12\/7)*z)*(z**(1\/16)*z)**(-42))**(-41) assuming z is positive.\nAnswer: z**(272609\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 445458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34 by 402157.\nAnswer: -34\/402157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(960)*4 - sqrt(960)) + sqrt(960))\/(4*sqrt(108)))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3139*h = 3180*h - 2615677. List the prime factors of h.\nAnswer: 131, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o - 1. Let n be j(1). Suppose -5*v + 23 - 8 = n. Suppose -9 + v = -b. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a + 4*g = -16*a - 8, -5*a - 3*g + 5 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 12 = -3*f. Let g = f - -10. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 115 + -179. Which is smaller: a or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8432\/9 + 20\/(-5). Let r = k + -935. What is the common denominator of ((-8)\/(-55))\/(1\/10) and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0*v - q - 73 = 0, -9 = 3*q. Let b = -101 + 108. Let a(d) = -3*d**2 + 23*d - 9. What is the remainder when v is divided by a(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 5*y + 5 = 0, -f + 3 = y - 4. What is the remainder when 19 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 41, -21, 4, -3, 10 in ascending order.\nAnswer: -21, -5, -3, 4, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1  (b) -10.1  (c) -2\/7  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c + 1 = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38 + -36.45. Let f = c + -1.5. Sort 0.5, -3, f in increasing order.\nAnswer: -3, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 + -3 - 1)*4. Let s be (-5 - m)\/((-8)\/(-2)). Let x = 17 - 17.4. Which is the closest to 2?  (a) -0.1  (b) x  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*t + 2*t - 2*t)*(4 - 6 + 0) - 6*t + 0*t + 0*t)*(4 - 3 + 2).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + 11*y**2 - 10*y + 1. Let c be p(10). Sort -4, -5, c in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 916608 and 27776.\nAnswer: 916608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 4191.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + -2 + sqrt(1700) - (sqrt(1700)*2 + -2 + sqrt(1700)))*-1 + 4)**2 + -2.\nAnswer: 40*sqrt(17) + 6799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let u = 60 + -25. Suppose -4*y = 4*s - 76, -2*s - u + 1 = -2*y. Let w = y - 16. Calculate the least common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-399)\/98)\/(240\/320))\/((-16)\/7)\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/707973 and 23\/1011390?\nAnswer: 7079730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1884 - 1867. Suppose 5*i - 63 = 2. Suppose 0 = x*k - i*k - 40. Solve -3*g + k + 0 = -5*y, 4*g - 19 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -6*i + 6. Let j(b) = -3456*b - 3115. Let l(z) = j(z) - 5*m(z). Differentiate l(f) wrt f.\nAnswer: -3426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -472, -470, -466, -460, -452, -442, -430?\n\"Answer: g**2 - g - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate r**4 - 12*r**3 + 37*r + 13870 wrt r.\nAnswer: 4*r**3 - 36*r**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/6*(-54)\/(-36). Put t, 19, -3 in decreasing order.\nAnswer: 19, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*536930\nAnswer: 1073860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -33 + 15 - (-2 - (-21 + 4)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4116 and 2991303?\nAnswer: 11965212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + h - 2*z + 12 = 0, 5*h + 3*z = 17. Let f = h + 0. Let d be f + 2\/2 + 3. Solve -4*n + 24 = -4*w, 14 = -d*w + 2*n - 5*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 17504, 20, -1?\nAnswer: 17504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4*3)\/(387\/4386). Which is the nearest to 0?  (a) x  (b) -3  (c) -1  (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12034*d - 53 = -12025*d + 244 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1373 from -0.1.\nAnswer: 1372.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*i)*(3*i**2 - 7*i**2 - 3*i**2) + 2*i**2 - i**3 - 2*i**2.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - 1003*v + 203383. What is c(283)?\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-15)*120\/33*(-150)\/(-200).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 3 + sqrt(1053) + -5)))**2 - sqrt(1053) - (sqrt(1053) + -4 + 1*sqrt(1053))**2.\nAnswer: -4224 + 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -38*q**2 + 19*q**2 + 25*q**2 + 226 - 159 as y*q**2 + c + p*q and give c.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 59.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20907*h - 13402*h + 12781*h + 10985*h.\nAnswer: 31271*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/((f*(f*f**(2\/7))\/f)\/f*f)*f*f\/(((f*f**(1\/20))\/f)\/f)*(f\/f**(-8))**(-48) assuming f is positive.\nAnswer: f**(-60107\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8880*x**3 + 14*x - 267 wrt x?\nAnswer: 53280*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.2 + 1. Let j = 139.2 - 144. Let i = j + y. What is the third smallest value in 1, i, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 3\/655313?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-2)\/(-16)*(-34)\/6188*14)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -288 + 289. Let i(o) = -49*o**2 + 3*o - 44. Let x(s) = -s**2 - s. Let p(d) = h*i(d) + 4*x(d). What is the second derivative of p(b) wrt b?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -29\/4024 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 52408894 + -5\nAnswer: 52408889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - x**2 + x + 1. Let d be w(0). Suppose -b + d + 13 = 0. What is the greatest common divisor of b and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s**2 - 4*s. Let v be b(-2). Suppose -4*j - 6*w + w + 185 = v, -w = 3*j - 125. What is the remainder when j is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(684) + -4 + (3*sqrt(684))**2*-3.\nAnswer: -18475 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3730 and 340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178 = -2*m + 3*b + 149, -27*m - 347 = 4*b for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30782952*f**4 - 620116*f**2 - 2*f wrt f.\nAnswer: 738790848*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14\/5*n**4 - 24\/5*n - 8\/5 + 24\/5*n**3 + 22\/5*n**2 = 0 for n.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 289 and 5542.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-3) + 54922\/20. Let b(x) = -2743*x**2 + 18*x + 19. Let l be b(-1). Let n = l + r. What is the common denominator of n and -83\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -115631, -115457, -115283, -115109, -114935, -114761?\n\"Answer: 174*g - 115805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 156911.\nAnswer: 173, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 3 + 7 = 0. What is the smallest common multiple of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g - 35. Let u be s(-18). Solve 0 = 2*v - 7*v + n - 7, -n - u = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6506814 is divided by 6850?\nAnswer: 6164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/12*(-144)\/108.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 4  (b) -27\/2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 58 - 10. 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 n(v) = -20*v - 20. Suppose 630*z - 419 - 23 = 656*z. Let o(x) = -7*x - 7. Determine z*o(l) + 6*n(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + 1)*-4*(-240)\/320. Let z be 6\/t*((-175)\/10)\/(-5). Suppose 10*i = z*i + 189. Calculate the remainder when i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-10)*(-65 + 85)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 189, 189, 187, 183?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36450)\/(-1400) - 26)\/(-2).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - 2*h - 3. Suppose s = -5*n - 5, 2*s + 2*n - 3 - 3 = 0. Suppose 0 = -5*z + 5*o - 35, -2*o + 0*o - 7 = s*z. What are the prime factors of l(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 11:33 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1691 a factor of 17107809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 886 and -807.\nAnswer: -715002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-50)\/20*(-4)\/5. Suppose 0 = a*j - 4 - 0. What is the units digit of 6\/(-2) + 70 + j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - a = 135, -5*h - 137 = 5*a + 18. Let y = -101 - -153. Let l = h + y. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -54450*k**3 - 1818681810*k**2 + 88178608*k - 1068832 = 0.\nAnswer: -33401, 4\/165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 - r - 1. Let m(n) = 16*n**2 - 7*n - 7. Let w(c) = 21*a(c) - 3*m(c). Let t(z) = -2*z. Give w(t(q)).\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 3*w = -32, 4*w = -2*v + 6*v - 60. What is the derivative of 72 + v - 2*a**4 + 64*a + 99 + 77 - 58 wrt a?\nAnswer: -8*a**3 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-61)\/(-63) + ((-918)\/119)\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-2)*24\/(-4). Let b = k + 2. Let c be b + 2 - (3 + -18). Calculate the highest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z - 14. What is the remainder when 231 is divided by m(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 585.95 * -2\nAnswer: -1171.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*l**2 - 21*l**2 + 12*l**2)*(-628*l**2 - 586*l**2 + 1375*l**2).\nAnswer: -2737*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: d3320 (base 16) to base 4\nAnswer: 3103030200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2471\/2 - 1238. What is the nearest to s in -1, 3, -0.1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -57, 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 4478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) - -2*sqrt(119))*-3*-1)\/((sqrt(84)*5)\/sqrt(3)).\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 480, -1099, -3774, -7575, -12532?\nAnswer: -18675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*z + 24*z = -4*s - 16, 0 = -s + 4*z - 4. Let n(d) = -d**3 - 7*d**2 + d - 5. What is n(s)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 84 - -149162?\nAnswer: 149246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence egge when four letters picked without replacement from {g: 11, e: 9}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -131*n**8\/168 - 11*n**4\/24 + 101*n**2. Find the second derivative of a(h) wrt h.\nAnswer: -5240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 86 + -95. Let g be (1\/(-2))\/(-6 + (-1947)\/(-324)). Is 18 a factor of p\/(g\/(-24)) - 210\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -2.7. Let n be ((-176)\/24 - -7)*0. Sort 1, n, b.\nAnswer: b, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 224*j**2 - 2. Let t(m) = -m**2 + 64*m - 13. Give t(u(x)).\nAnswer: -50176*x**4 + 15232*x**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q**4 + 2*q**4 - 2*q**2 + 9 - 11 + q**3 - 3*q**3 to the form y*q**2 + p*q + o + i*q**4 + a*q**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/3370736 and 109\/6?\nAnswer: 10112208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1074461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 6) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 420*c - 9635. What is r(23)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 4 - 32 = -t, -4*t - 2*l = -42. Let h be (-2)\/9 + t\/36. Suppose h = -0*g - 2*g. Solve g = -4*a + 6 - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 3*(3 + sqrt(891) + -3 - (-1 + sqrt(891) + -5 + sqrt(891))**2).\nAnswer: -10802 + 675*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of 301*a**6\/3 - 27*a**2\/2 - 100*a - 5226. Find the second derivative of s(o) wrt o.\nAnswer: 12040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3689616 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (57\/3 - -13) + 1\/1. Solve -q*k - 42 = -40*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3369 + 11085 = 9*i. List the prime factors of i.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 + 82*i**2 + 583*i - 666.\nAnswer: (i - 1)*(i + 9)*(i + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - 10*r**2 + 13*r + 31. Let j be (-3 + 24\/6)*-13. Is 24 a factor of s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 538734098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 + -24. Let s = h - -21. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -1038?\nAnswer: -103a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of 6758*c**5\/5 - 16*c**3\/3 - 3*c**2\/2 + 21*c + 2. Find the third derivative of z(b) wrt b.\nAnswer: 162192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35923 = -19*k - 6739. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of -1\/6*v**5 + 0*v + 25\/24*v**4 - 1\/120*v**6 + 43*v**2 + 3\/2*v**3 + 0. Calculate r(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2291 - -4652. Calculate the remainder when w is divided by 1176.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109077313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**4)**(3\/16)\/(k**(-15)\/(k**(-10)\/k)))**50 assuming k is positive.\nAnswer: k**(475\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -q**3\/3 + 9*q**2 - 18*q - 63. What is the remainder when n(11) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - 6) + -1 + 0 + 1 + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 1 = 5. Let g(k) = -k - 1. Let l be g(-6). Let y be f*-4*l\/(-4). Solve n + n = -o, o = -y*n + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.8 - 0.5. Let t be (-498)\/(-24) - 3\/4. Let o be ((-2)\/4)\/((-35)\/t). Which is the second smallest value?  (a) -0.5  (b) g  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17472228 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*k**3 + 3*k**3 - 9*k**3 + 16 with respect to k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 210*z**4 + 198*z**4 + 5*z**3 + 2*z**2 - 1 + 393*z**4 - 2*z - 5*z**3 to the form r*z**2 + u*z**3 + w*z + i + d*z**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 23 + 8 = 0, k - 15 = 3*g. Factor 0*h + 1\/3*h**3 - 1\/3*h**2 + k.\nAnswer: h**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1125 + 130524024?\nAnswer: 130525153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of k**8\/50400 - k**7\/420 + 71*k**5\/60 - 3*k**2 - 12*k. Let o(q) be the third derivative of b(q). Factor o(g).\nAnswer: 2*g*(g - 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-6)*(-5 - 1). Let o(q) = 4*q**2 + 7. Let s(v) = -9*v**2 - v - 15. Let j(m) = 5*o(m) + 2*s(m). Let f(k) = -2*k**2 + 2*k - 4. Give t*j(c) - 4*f(c).\nAnswer: 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 1:45 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)\/(sqrt(10) - sqrt(40)))**2 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 2*l**2 + 7*l - 5. Determine s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -7 - 4\/(-2)*(29 - 28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of 4*a**5\/45 + 5*a**4\/9 + 19*a**3\/27 + a**2\/3 - 96*a. Find c such that u(c) = 0.\nAnswer: -3, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8688743ml in litres?\nAnswer: 0.0008688743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 85821*p**3 - 11 + 26.\nAnswer: -85821*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m**3\/4 + 683478*m**2 + 3827469*m\/4 + 546781\/2 = 0 for m.\nAnswer: -546781, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 22  (b) 0.5  (c) 0.394  (d) 666  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of -2*i**3\/3 - 4*i - 19226. Let h(d) = -d**3 - 4*d**2 - 3*d - 2. Let w be h(-2). Let y(t) = -t**2 - 3. What is w*n(s) + 6*y(s)?\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -10*v**2 - v + 17. Let o be k(5). Let s = 233 + o. Let c be (-3)\/3 + 5 + -2. Put 0, c, 4, s in descending order.\nAnswer: 4, c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g - 2\/11*g**2 + 24\/11 = 0. What is g?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27374284.\nAnswer: 2, 7, 17, 131, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ka when two letters picked without replacement from svknkshhkhnasnnshka?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 5*(4*sqrt(1900)*2*2)**2*2.\nAnswer: 4864000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -42, 7, 64\/7, 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 121127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2142264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56219956.\nAnswer: 2, 13, 1081153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.6 + -1.6. Let t = g + 0. What is the second smallest value in 0, t, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34800551.\nAnswer: 29, 239, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -107 + 47. Let r = -43 - l. Suppose j - r - 16 = 0. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of l**4\/12 - l**3 - 2*l**2 - 9*l. Determine d(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 4:27 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -240 divided by -10.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150 = 11*u + 19*u. Suppose -2970 = -14*x + u*x. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -50, 1\/6, -6\/11, 7 in decreasing order.\nAnswer: 7, 1\/6, -6\/11, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3387 = 110*k + 1187 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 + -37. Suppose 1 = -h + c. Suppose -h*f - 15 = -7*f. Solve k = -2*k - f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41667 is divided by 502.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 264 + -268. Let m be (-3)\/(-7) - 4\/14. What is the third smallest value in i, 4, 2\/5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.6 - -0.9. Let r = 5 - 0. What is the closest to 0 in 1\/2, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 5*g - 4*m + 9290, -4*m = -5*g + 23225. Let n = -83503\/18 + g. Find the common denominator of -85\/12 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 45?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45726 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1)*f*f*f**(-2\/3))\/(f**6)**(-16\/11))**(1\/26) assuming f is positive.\nAnswer: f**(23\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 388*h**2 - 316*h**2 + 0 + 405*h**2 + 1161*h**2 + 4 as n*h + p*h**2 + v and give p.\nAnswer: 1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(915\/6) - (-154512)\/(-467016)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-1026)*22 + 12\/(-54). Does b = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 136369\/420 - 974\/3. Suppose 34 = -4*x + 108 - 70. Is x less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -0.2. Suppose c - 4*c = -4*p + 11, 2*p - 8 = 4*c. Let a = -6 + 8. What is the closest to c in s, a, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 34*b**2 - 76*b**2 + 41*b**2. Let a(c) = 116*c - 13*c + 544*c + 352*c - 74. Let p(q) = 40*q - 3. Let f(r) = -3*a(r) + 74*p(r). Give f(z(d)).\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 AM and 5:21 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 51 + -30. Suppose -p = -4*l - 5. Suppose -95 = -3*i + l*w, w = -i - 4*i + 166. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -12*n**2. Let s(b) = -59*b. Calculate s(z(d)).\nAnswer: 708*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1179057 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 1:45 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*t + 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-729 - 603 + 548)*(w - 2*w**2 - w)*(3 - 3 - 2*w) to the form z*w**3 + d*w + l + x*w**2 and give z.\nAnswer: -3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 22*2\/4. Let p = m + -9. Let n be (-37)\/(-7) - 2\/7. Solve -15 = -n*q - 3*j, 5*j - 20 = p*q + j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 2*y + 0*y + 25 = 0, 5*n - 5 = -4*y. Suppose n*s - 5 = -0*s. What is the units digit of s - 0 - 0\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 48760741 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/7)*s\/(s*s**4)*s**3\/((s*s\/(s**(-3)\/s)*s)\/s))\/(((s\/s**2)\/(s*s**(-6)))\/(((s*((s**0*s)\/s)\/s)\/s)\/((((s\/s**(3\/2))\/s)\/s)\/s))) assuming s is positive.\nAnswer: s**(-115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 116*r**2*w**3 - 40*r**2*w**2 + 2*r**2*w - r*w - r + w**4 - 23*w wrt w.\nAnswer: 696*r**2*w - 80*r**2 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6177.\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 113117791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 2:22 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that q**3\/6 + 121*q**2\/6 + 620*q + 600 = 0.\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.072 - -1.612. Let m = 0.5 + 1. Let n = y - m. Which is the smallest value?  (a) 0.2  (b) n  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 3140333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 6*p. Let m = 6 + p. Solve -3*z + b + 1 = -1, -5*z - 3*b = m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2240 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/3214 and -41\/13.\nAnswer: 41782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + (-60)\/18)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -1890\/43, 2\/17 in decreasing order.\nAnswer: 0.3, 2\/17, -1890\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -721040947 divided by -1?\nAnswer: 721040947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 5*o**2 + 32*o - 31. Let d be m(1). What is the highest common factor of d and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/(-63)*(10\/8 - (12 - 10)). What is the fifth biggest value in -15, l, 1.1, 5, -3\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of x**6\/30 - x**5\/60 + x**3\/6 + 3*x**2. Suppose -5*c + 63 = 13. Suppose 11 = y + c*y. What is q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (21\/12)\/(1\/(-4)). Let f(k) = -k**3 - 7*k**2 - 5*k + 4. Let h be f(a). Suppose -3*y + 2*y = 2*v - 13, -3*y + 2*v + h = 0. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2 + 10*y + 2 - 11*y. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(32).\nAnswer: -1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: What is 13\/(-78) - -3*(-20)\/72?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62506?\nAnswer: 2, 31253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 45 = -2*l. Let g be (-80)\/l*3\/(-2). Let j = 0 + g. Solve -3*t = p - 4, -4*t - p + 3*p = j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 173 or 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-81)\/135*(5 - 2)\/(-9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1304 + -1286. Calculate the lowest common multiple of w and 105.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*m**3 + 35*m**2 - 190*m - 1200 = 0. Calculate m.\nAnswer: -8, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 186, 81, -7, 4 in increasing order.\nAnswer: -7, 1, 3, 4, 81, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 275 + -4?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -10*j - 7. Let o(l) be the first derivative of l**2\/2 - 49*l + 7805. What is o(s(i))?\nAnswer: -10*i - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -90493*u**2 - 73265*u?\nAnswer: -180986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from eke.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 59*m + 171. Let f be a(-56). Sort -5, -4, 4, f in decreasing order.\nAnswer: 4, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -4*l**2. Let d(x) = -1229 + 1229 + 3*x. Calculate u(d(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, 8.\nAnswer: 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -218*s**3 - 6*s + 262*s**3 + 2236*s**2 - 2239*s**2 as k*s + x*s**2 + i + y*s**3 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 31.9  (b) -1  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/2*((-1)\/4)\/(120\/(-2240)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x + 2*v + 10 = 4*x, -x + 15 = -3*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 PM and 9:22 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40 - 42. Let n be w + 5 - (4 - (-8)\/(-4)). What is the greatest common factor of 11 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 1. Let g(l) = -5*l + 17. Let f be g(10). Let y = -34 - f. Let d(t) = -t**3 - t**2 + 2. Give y*d(w) + 2*c(w).\nAnswer: w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c**3 + 5*c**2 + 12*c + 2. Let t be -4*((-25)\/4 - -4). Is f(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 4*p - 42. Let f = p + 22. Let m = 6 + 8. What is the remainder when m is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (22194\/(-12))\/((19\/(-38))\/((-4)\/(-6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8.766561s?\nAnswer: 8766.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 125 and 475?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2025*w - 411*w + 1464*w to g*w + y and give g.\nAnswer: 3078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25437, 101745, 228923, 406971, 635889?\n\"Answer: 25435*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -62 or -1877\/31?\nAnswer: -1877\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 283908074911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20016 (base 14) to base 13.\nAnswer: 28c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -2\/11  (c) 15  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of 0 + 1\/2*f**2 - 1\/5*f**5 - f + 0*f**3 + 0*f**4. Differentiate j(q) wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*c + 396 = 4*p, 4*p - 2162 = c - 2164 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of 2271*q**2\/2 + 981*q + 1643. What is the first derivative of d(h) wrt h?\nAnswer: 2271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 - -21. Let q(x) = 97*x**2 - 1. List the prime factors of q(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/((-32)\/12))\/((-15)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -269983.6 and 5.\nAnswer: -1349918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.38 plus -100859913?\nAnswer: -100859912.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 45303*c**4 + c**3*r - c**2*r + 10*c**2 - 6*c*r - r - 10 wrt c.\nAnswer: 1087272*c + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 299*l - 772. Calculate the remainder when u(7) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3223, 2835, 2455, 2089, 1743, 1423, 1135, 885?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 8*y. Let t(l) = -39846*l**2. What is q(t(o))?\nAnswer: -318768*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 4*d - 2*c, -3*d = c - 12. Suppose 20 = 4*z + 6*z. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15834 and 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*z**2 + 17*z**2 - 140*z**2 - 6 - 83*z**2 - 287*z**2 to c*z**2 + m + v*z and give c.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16485 - -16509. What is the remainder when 6287 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - 5 + 5)*(4*p - 2*p + 0*p) + 2*p**2 - 4*p**2 - 2*p**2 + (-3*p**2 + p**2 + 4*p**2)*(2 - 6 + 2).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 13*b - 25. Let j be l(9). Suppose 0 = j*o - 0*o - 55. Solve -o*v + 15 = 4*p, 2*v = -p + 1 + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.4 - -344.6. Let m = 350.02114 - k. What is m rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 12945927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Put 5, 19, -28 in increasing order.\nAnswer: -28, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3605, -14576, -32853, -58436, -91325, -131520?\n\"Answer: -3653*r**2 - 12*r + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2*(-2 + 292\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 9*v + 29. What is the common denominator of l(-8) and 30\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c**2 + 13*c**2 + 1 - 20*c + c**3 + 9*c. Let i be u(-11). Sort -3, i, -0.3 in increasing order.\nAnswer: -3, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6.1 + 6. Put x, -4, -0.3 in ascending order.\nAnswer: -4, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*(21\/(-5) + 1). Let u be 27\/(-18)*a\/(-3). Calculate the common denominator of 13\/16 and u\/32*(-118)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*w = -15. Suppose -w*y + 2*y = 0. Solve 0 = 4*a + 5*b - 3 - 10, y = -3*a + b - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-90)\/(-12)*(0 + -6). Does 7 divide ((-4)\/(-6))\/((-2)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 18 = -5*w. Suppose -5*x = -w*x. Suppose -r + 5*k + 0 + 50 = x, -2*r + 56 = k. Is r a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 633791902 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.247 + -0.247. What is the third smallest value in 2, -0.13, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 5*l - l - 3*l + 0*l - 9. Let i be d(11). Find the second derivative of -2*k**i + 2*k - 6*k + 2*k - k wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -39*k**2 + 40. Let q(o) = 78*o**2 + o - 81. Let y(i) = 5*l(i) + 3*q(i). Is y(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9343 take away -3827781?\nAnswer: 3818438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 108*v**3 - 1666*v**2 - 8*v - 8. Let z(x) = -42*x**3 + 555*x**2 + 3*x + 3. Determine 3*b(d) + 8*z(d).\nAnswer: -12*d**3 - 558*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, a: 3, p: 3, z: 6}. What is prob of sequence pz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37956551.\nAnswer: 3793, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33518601.\nAnswer: 3, 3724289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -6. Suppose -2*z + c*z - 4*o = -12, -3*o = -4*z - 8. What is the tens digit of (-2)\/z*29\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cttc when four letters picked without replacement from jjjjctmmjcmjcjt?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27*(-33)\/891*27.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 72, 153, 264?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 320.8, -9\/5, 5, -1, 0.5, 0.6 in descending order.\nAnswer: 320.8, 5, 0.6, 0.5, -1, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 89*l**3 - 10*l**2 - 149*l - 32. Is 29 a factor of i(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550 is divided by 104.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4 - -2 - (-18 - 120)) + 0. Which is bigger: 150 or i?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((sqrt(84)*3*4)\/sqrt(3))\/((sqrt(256)*4)\/sqrt(4)))**2.\nAnswer: 3*sqrt(7)\/2 + 79\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 18, -0.3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in 39, -3\/7, 2\/13, -4, 13\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of 5*t**7\/21 + 19*t**6\/45 + t**5\/18 - t**4\/6 - 2*t**3\/27 - 19*t. Find u, given that v(u) = 0.\nAnswer: -1, -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0935 take away -1.8?\nAnswer: 1.8935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/w**(-2\/7)))**(1\/2))**27\/((w**1*w)**(-32)\/(w\/(w*w**(2\/11))*w**(-6))) assuming w is positive.\nAnswer: w**(4155\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2242 + 2238. What is the second biggest value in 1\/4, q, 5, 1\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 77920863.3us?\nAnswer: 0.00012883740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - (-73 - (-6 + -3 + -17)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 28 - 0.0064\nAnswer: 27.9936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m\/(m\/(m*m**5*m*m))))**(3\/13))**25)**(-40) assuming m is positive.\nAnswer: m**(21000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1169*j - 8 - 4 + 12.\nAnswer: -1169*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(-4)*(-6)\/4. What is the smallest value in -10, z, -2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1088 is divided by 1077?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**5\/7 + 45*s**4 - 13185*s**3\/7 + 274965*s**2\/7 - 2856600*s\/7 + 11826324\/7 = 0. Calculate s.\nAnswer: 18, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*w - 124 = -25*w - 984 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 183*x - 170*x - 19 = 46. Let t(u) be the second derivative of -42*u - 3\/20*u**x - 1\/10*u**6 + 0*u**4 + 0*u**2 + 0 + 0*u**3. Factor t(s).\nAnswer: -3*s**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from paprrpxjjrxxxxxrx.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ele when three letters picked without replacement from elllllullleuleululll.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 818940.29 - 814961. Let x = c + -4032. Let d = x + 53. Round d to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g + 36. Suppose 5*j + 10 = 30. Let m be (2 - (-68)\/j)*-1. Let b be h(m). What is the greatest common factor of 136 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -170*j**3 + 5423 + 2057*j**3 - 5423.\nAnswer: 1887*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 184.51\nAnswer: 36.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 2 = -3*u, -2*q + 0*q = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/12115 + 24217\/157495. Let r = -0.03 - 3.97. Which is the third biggest value?  (a) r  (b) 1\/3  (c) 0.4  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49, -2363, -8375, -19933, -38885, -67079?\nAnswer: -106363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.48788068 rounded to three dps?\nAnswer: -0.488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1)**(-36\/5) assuming u is positive.\nAnswer: u**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 6. Suppose -2*z + d - 6 = c*d, -10 = 5*d. Let b be z\/(-2)*1\/2. Put 1\/3, 5\/4, b in increasing order.\nAnswer: b, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -6. Let t be (k + 0)*(-4)\/(-2). List the prime factors of (4\/t)\/(6\/30)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 87 and 3248.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 11:16 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {f: 1, u: 7, o: 2, d: 3, m: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -3, 315, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*t, 3*t + 2*t + 3 = -4*i. Let c = t - 7. Let h = 12 + c. Solve 15 = h*p + u, 5 + 0 = -3*p + 4*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-108)\/240*(-490)\/2352.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -k - 4*b + 4, -3*k - 3*b = 2 + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that s**4\/6 - 11*s**3\/3 - 1079*s**2\/6 - 1352*s = 0.\nAnswer: -13, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6232813627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 29051*v**2. Let w(c) = -394*c. Give p(w(k)).\nAnswer: 4509761036*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22.647 + -0.247. Let r = -11.4 + d. What is the closest to r in 3\/2, -2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 40*t**2 - 104*t + 6601. Calculate y(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q = -16*q. Solve -x - 5*n + 16 = 0, -2*x - 24 = -4*n - q*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.788 + 0.102. Let o = -2.8900685 + j. Round o to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 90986.3 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 119 - 115. Suppose -f*k = -14*k. Solve k = 5*v - 5*t + 44 - 14, 3 = 3*v + 4*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1480 or -117881?\nAnswer: 1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 + 0.03065?\nAnswer: 0.43065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2312 + 2*a**2 - 286 - 195.\nAnswer: 2*a**2 + 1831","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -673.7732 rounded to the nearest 10?\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 573792 - 573820.1361. Round p to one decimal place.\nAnswer: -28.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25397224471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 925*v**2 + 206?\nAnswer: 1850*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -aaa (base 12) to base 3.\nAnswer: -2011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -313\/2 + 397\/3. Calculate the common denominator of 17\/27 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 15*s**2 - 4. Let x be i(-14). Suppose 12*u = 9*u + x. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 606\/11 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 363990343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/8 + 21\/(-36). Let o = 2.64 - 2.7. Is h > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.28 - -3.26. Let x = -0.7 - 0.3. What is the closest to z in x, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73929?\nAnswer: 3, 19, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-15)\/(-42))\/((-29)\/(-203)))\/(3\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3512*(135\/12)\/15.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -36*c**3 - c. Calculate b(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 491020.4 minutes in nanoseconds?\nAnswer: 29461224000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4743703, 4743781, 4743859, 4743937, 4744015?\n\"Answer: 78*z + 4743625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 3. Let d = -4.3 + 4. Which is the smallest value?  (a) v  (b) -2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34929 divided by 9\nAnswer: -3881","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7301678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3770*g - 3765*g = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -6*v + 64. Let q(k) = k**2. What is q(m(z))?\nAnswer: 36*z**2 - 768*z + 4096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - r**2 - 14*r + 7. Let p be u(6). Suppose -p*c = 31 + 39. Sort c, 2, 1 in increasing order.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 531856591 to the power of 1\/2, to the nearest integer?\nAnswer: 23062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -5*p**3\/4 - 49*p**2\/4 + 65*p\/4 - 11\/4 = 0.\nAnswer: -11, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (22*z**3 + 12*z**3 - 26*z**3)*(-10 - 4*z + 10) + 4*z - 2*z**4 - 4*z in the form t + r*z**2 + l*z**3 + y*z + m*z**4 and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -15. Let i(n) = -114. Let j(z) = -2*i(z) + 15*k(z). Let v(t) = t**3 - 2*t**2 - 2*t - 1. Let u be v(3). Let l(g) = -g + 1. Calculate u*l(d) + j(d).\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*g = 11*g + 40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at least as big as -16459\/3872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, -72\/281, 5, 0.17?\nAnswer: -72\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = -5*m + 4875 - 4850, -3*i + 5*m + 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 619435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (((-12)\/32)\/(15\/(-5))*6)\/(45\/72)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 3 + -5 + (2 + 0 + sqrt(272) - (-4*sqrt(68) - sqrt(119)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 52*sqrt(17) + 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09 - 0.08. Let l = y + -0.13. What is the closest to -1\/2 in 0.5, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-18))\/((-2)\/(-30)). Let k = 7 + v. Let g = 22 + -16. Calculate the greatest common divisor of k and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 217 and 3076192.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4, 13, 28, 49, 76, 109, 148?\n\"Answer: 3*m**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19231 (base 14) to base 16.\nAnswer: -f83b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 18*t**3 - 3*t**2 + t. Let y be v(1). Suppose -y*l + 17*l = 2. Factor -6*f**3 + l*f**2 + 3*f**3 + f**3.\nAnswer: -2*f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -17\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4552925 and 4735042?\nAnswer: 118376050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + -199727e?\nAnswer: -1997279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 154*h - 39*h - 7 - 127*h + 100*h.\nAnswer: -220*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 - (-5 - (-29 - -61) - -29)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -84272, -85723, -87174, -88625, -90076?\n\"Answer: -1451*g - 82821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/12 + (-1 - -1) + 3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r + 2 - 2 + (2 + r - 2)*(-4 + 0 + 2) + 4*r - r - 5*r - r - 1 + 1 + 3*r + 0*r - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*(-30)\/50)\/(((42\/217)\/2)\/(-5))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {e: 18, s: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111412 (base 5) to base 8.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, 4, 0, -5 in increasing order.\nAnswer: -43, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 3, -0.7, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.315 - 64.\nAnswer: -64.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*z - 30 = -64*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.4, 18.996, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 13 + 31. Let a be 1 + 4 + 1 - u. Let w(q) = -q - 9. Calculate w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 17107  (b) 3  (c) 4  (d) 0.1  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/21)*t**(-16)\/t*(t\/(t*t\/t**(-17)))\/(t*(t*t**(-2\/7))\/t))**(-29) assuming t is positive.\nAnswer: t**(3103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/1041370 and -63\/10.\nAnswer: 1041370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of -133*v**5\/20 + 343*v**3\/2 + 22*v - 2. What is the second derivative of k(h) wrt h?\nAnswer: -798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1000 = -221*y - 1431 - 884 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and 499417.\nAnswer: 499415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (90\/(-210))\/(32\/14)*((-6392)\/(-102))\/(-47)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2\/233, -3\/4, -13.3 in descending order.\nAnswer: 0.4, -2\/233, -3\/4, -13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-25)\/(-20))\/(5\/6). Which is the closest to -1?  (a) 0  (b) g  (c) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -x**4 - 2*x + 3*x**3 - 5*x**2 - 9*x**3 - x**4 + 4*x**3 as z*x**4 + b*x + q*x**2 + n*x**3 + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/7 or 76.69?\nAnswer: 76.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkktkkkkkkkkkkkt. Give prob of picking 4 k.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 31\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45177993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2\/(-5))\/((-6)\/720)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -136 - -162. Let s(u) = u**3 - 25*u**2 + 8*u + 84. What is the hundreds digit of s(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-3 - -2) + (-104)\/13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31153*y**3 - 8028*y wrt y?\nAnswer: -186918*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 4*c - 6. Let t(d) = 5*d + 7. Let f(j) = -6*g(j) - 5*t(j). Suppose 12 = -3*z, -9 = u + 2*u + 3*z. Give f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -4*s - 4*p - 65, -3*s - 10 = -4*p. Sort -2, 0, s, 2 in ascending order.\nAnswer: s, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/28, -0.1, -5, 0.3.\nAnswer: -5, -0.1, 3\/28, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (42\/15)\/(1\/25). Suppose 4*j = g + 1010. What is the highest common factor of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-98*r**3 + 45*r**3 + 34*r**3)*((2 - 1 - 3)*(-r - r + 0*r) - 2*r - 2*r + 6*r + 3 - r - 3) to p*r + v*r**4 + t*r**3 + f*r**2 + k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -333 (base 7) to base 16\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/6 + 463*g**2\/6 + 77*g.\nAnswer: g*(g + 1)*(g + 462)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**3*s**5 + 183*j**3*s**2 + 3*j**3 + j*s**2 - 8436*s**5 + 4*s wrt s.\nAnswer: 60*j**3*s**2 - 506160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 1875120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -262, -14, 5, -5, -3 in descending order.\nAnswer: 5, -1, -3, -5, -14, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006356 to 5 decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 4*h - 8 = 0, -h - 20 = -6*o + 4*o. Suppose 0 = a + 8*a - o*a. Factor -4\/13*m**3 + 2\/13*m - 2\/13*m**2 + a.\nAnswer: -2*m*(m + 1)*(2*m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 - (-40)\/12) + 2\/(-6). Let x(l) = -4*l + 9. Let v be x(6). Let o be 552\/q - ((-72)\/v)\/(-6). Calculate the greatest common divisor of 84 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 14*p**2 + 12*p + 15. Let q be f(13). Suppose -5*o + q = -18. Solve 2*d - o = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 5 = -4. Let h(f) = f**3 + 3*f**2 - 5. Let d be h(s). What is the nearest to -0.8 in d, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 391 - (2 + (-4 + 3)*0).\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mv when two letters picked without replacement from nnvnpnmnnnnpmnmpnm?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + (-22 - -2)\/2. Let j(u) = u + 9. Let z be j(d). Which is smaller: z or 1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78072423511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence paa when three letters picked without replacement from {p: 7, a: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*i + 28*i + 31*i + 30*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 1352*i - 13512. What is k(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 5 = -5. Let k = -59 + 59. Suppose n + 1 = x, k = -y*x + 3*x + 2*n - 13. Solve -g = 1 - x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 3:41 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -18 + 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 35. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -245*a**2 + 84*a**2 + 91*a**2 - 872 + 872 + 90*a**2.\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 5*p + 40 = 0. Suppose -p*v - 32 = -27. Let k(z) be the second derivative of z**4\/12 + 8*z. Give k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 199 divided by 3652.\nAnswer: 199\/3652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s - 4 + 4)*(94 - 159 + 343*s + 65) to the form j*s**2 + o + a*s and give j.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 <= 602\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 1 = x, o - 3*o = 0. Sort x, 5, -51, -3.\nAnswer: -51, -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1299 = -5*t + c, -t - 2*c = -153 - 120. Let f be (-84)\/(-136) + (-2)\/4. What is the biggest value in f, t, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.03  (b) 21  (c) 53  (d) 0.9  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 9:41 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 59484 and -0.4179.\nAnswer: -24858.3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s + 4*s + 8*s + s - 4*s + 2*s + (-3 + 0 + 1)*(4*s - 3*s - 2*s).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*a + 4*a - 63*a)*(0*a - a + 2*a).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12796507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5314683*u**3\/4 - 4469640417*u**2\/2 + 6716223*u - 5046 = 0. Calculate u.\nAnswer: -1682, 2\/1331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 - 3*u**2 - 3. Let b(l) = l**3 - l**2 - l - 1. Give -3*b(h) + x(h).\nAnswer: -2*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3767966 + -13694222\nAnswer: -9926256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l + 5. Let u be w(5). Suppose 2*h - k + 5 = u, 2*k = -1 - 5. Let x = 39.2 - 39. What is the second biggest value in h, x, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 31\/5 of a hour?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/40)\/(6\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 27*t + 18. Suppose -4*f + l = -4*l - 1, 2*l = -5*f + 26. Does 14 divide y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 21\/(-9) - (-3 - 0). Let b(x) = x**3 - 4*x**2 - 6*x + 6. Let p be b(5). Is t < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 7*n - 13. Let v be w(10). Suppose o - 3 = v. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - t**3 - t**2 + 3*t**2 - 3*t**2 + 11 in the form f*t**2 + y + w*t**3 + d*t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1740381 and 1427394.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -5  (c) -0.2  (d) 171  (e) 35\/264  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2 - 45 + 53\/2*k - 1\/2*k**3.\nAnswer: -(k - 5)*(k - 2)*(k + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -4139\nAnswer: -5\/4139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 23 - 13 + 2*t - 10. Let f(w) = -320*w**2 + 2*w - 6. Let k(y) = -1598*y**2 + 11*y - 33. Let l(u) = 11*f(u) - 2*k(u). What is i(l(d))?\nAnswer: -648*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of x**5\/60 - x**2. Let k(g) be the third derivative of g**4\/8 - 2*g**2. Calculate z(k(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 52131102 (base 6) in base 5?\nAnswer: 341124120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, 47, 94, 137, 176, 211?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -440343 - 0?\nAnswer: -440343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1332225 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 21*s**2 + 3*s - 1. Let k be o(-21). Let g = 84 + k. Solve -2*d = -3*u + 16, -3*u - u = -2*d - g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v - 4. Let x be f(7). Let d = 19 + x. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1420240 - 111045?\nAnswer: -1531325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 3:47 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/5  (b) 5  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 39*f + 198. Let i be m(-5). Which is the smallest value?  (a) i  (b) -21  (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -292 = -3*m - 2*t + 3*t, -288 = -3*m - 3*t. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/3 + 107*r\/3 + 852.\nAnswer: (r + 36)*(r + 71)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*v + 45 = 0, -3*v = -5*a - 23 + 83. Suppose 2*j + 3*h - 151 = -a, -3*h = -12. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20.04 + -120848.4968.\nAnswer: -120868.5368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z - n + 14, 25*z - 3*n = 21*z + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 897 = 3*g - 1236. List the prime factors of g.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -32*y**7\/7 - 168*y**6 - 1437*y**5\/5 + 2077*y**4\/4 - 573*y**3\/2 + 75*y**2 - 7917*y. Find b such that q(b) = 0.\nAnswer: -25, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 74385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + 1)*6\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8930572 and 6378980.\nAnswer: 44652860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*p = -165. Suppose -m = 2*m + p. Let q = m + 30. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y + 61. Let a be t(20). Suppose 4*s = 5*x + a, x - 35 = 4*s - 8*s. Let u be 1*0\/2 - -1. Solve 4*p + u = s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 942 + -942. Find the third derivative of y*a**2 - 9530*a**5 - 3*a**2 + 267*a**6 + 9530*a**5 wrt a.\nAnswer: 32040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -13, -2\/3, -2\/5, 20, 42?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 320 = 9*h + 18*h - 26*h + 46*m, 0 = -5*h + 2*m - 24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6230082 is divided by 816.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -256a6 (base 14) to base 9\nAnswer: -150022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12366868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**2*f)**(-14)*(f\/f**(-6\/11))\/(f**3\/f) assuming f is positive.\nAnswer: f**(-467\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2669561 and 26523?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 + -59. Which is the closest to 3?  (a) s  (b) -1  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 36725 - -4?\nAnswer: 36729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3200307320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 9:37 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 715662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2, -30, -122, -304, -606?\n\"Answer: -5*r**3 + 3*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 + 3)*(-5 + 2 + 2)*(2*l**3 - l**3 - 3*l**3) - 11*l**3 - 67*l**2 + 67*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zr when two letters picked without replacement from hhhrrhz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmxxmmmm. What is prob of sequence mmm?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/7  (b) 1\/42  (c) -0.2  (d) 1.3  (e) 2\/7  (f) 165.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/3)*h*h\/(h**(-3)*h)*h)**(-42)\/(((h*h*h*h\/h**(-7)*h*h*h)\/h**(4\/7))\/(h*h**1*h*h**1)) assuming h is positive.\nAnswer: h**(-1634\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 1. Let t be -5*(-2)\/(-10)*p. Find f, given that -6*f**5 + 0*f**5 + 2*f**3 - 4*f**t + 8*f**4 + 0*f**2 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97.26296 kilograms to nanograms.\nAnswer: 97262960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2615483219 to the power of 1\/3, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1575205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14695340361 + -0.0418.\nAnswer: 14695340360.9582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r**2 + 2*r**4 - r**2 + (-r + 3*r + 0*r)*(-3 + 2*r**3 - 17*r**3 + 11*r**3 + 6*r) to the form u*r**3 + v + q*r + o*r**4 + l*r**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 891 - 5319 = 738*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24714405\/2238938 - -1\/86113. Let p = a - 3163\/273. Calculate the common denominator of -25\/6 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 735 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 5, 1, 6\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4523*v + 4*v**2 - 4524*v + 9042*v + 99 - 5*v**2. What is the remainder when ((-76)\/6)\/((-2)\/15) is divided by l(-11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14*(0 - 12\/(-14)). Suppose -2*t + 6*t + h = 0. Is (-223)\/(t + 1 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13985 - -14778. Calculate the remainder when i is divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*d + 12*d**2 + 6 + 13*d - 2*d**4 + 9*d to p + h*d + l*d**3 + g*d**2 + t*d**4 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27750 and 341843?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of -61*x**4\/2 + 91*x + 65. What is the first derivative of t(q) wrt q?\nAnswer: -366*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + -28. Let s be 0*3\/(-6)*z\/(-28). Solve 2*r - 24 = 5*i, 2*i + 10 = r - s*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 435 (base 10) in base 4?\nAnswer: 12303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20446 (base 7) in base 9?\nAnswer: -6811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 786102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1233 and 1.4.\nAnswer: -1726.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34613262 (base 8) to base 4.\nAnswer: -130301122302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -821 + 184. Let y = 917 + s. Suppose -2*i = -7*i + y. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/((t*t\/(t**(-1)\/t)*t)\/t))**(18\/7)*t**1*t*t**(-1\/4)*t)\/((t\/(t*t**(2\/3)*t)*t)\/t**(1\/5)*t**(3\/7)\/t**(3\/2)) assuming t is positive.\nAnswer: t**(-1271\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 14387.\nAnswer: -3\/14387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.395 rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/1530 and -143\/90?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**3 + 40*g**2 + 1468*g - 6256.\nAnswer: -4*(g - 23)*(g - 4)*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t - 3. Let x(o) = -o**3 + 13*o**2 - 42*o + 2. Let d be x(6). What is r(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6063*h = -6360*h - 2039764 + 449620 for h.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -479*0.1.\nAnswer: -47.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*q + 71*q**2 - 20*q + 5*q.\nAnswer: 71*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 173.4 * -3.\nAnswer: -520.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -77, 15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 727 is divided by 703.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -15*t**2 + 121*t - 238. What is a(2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 0.5  (c) -10.9  (d) 2  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -6. Let u be (2 - 1)*2 + 1029998. Suppose 0 = -k*l + l - u. Round l to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*x - 19*x - 20*x)*(x**3 + 86*x - 86*x).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 38 - 182. Let n = -1 + 22. Does 14 divide (r\/n)\/((-4)\/(-98))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.795 + 5.195. What is the biggest value in 0, 49, s?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wxhoouy. What is prob of sequence wx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42176, 86876, 131582, 176288, 220988, 265676, 310346?\nAnswer: 354992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3546942 + 3546942 + 26028*u**4 - 2 + 2 - u**4 + (-2 + 2 + 2)*(-u**3 + u**3 + 2*u**4) to the form i*u + o + p*u**2 + a*u**4 + x*u**3 and give a.\nAnswer: 26031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 7 + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 910.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2104020279145 + 0.5.\nAnswer: 2104020279145.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 10*j**2 - 6*j + 4. Give f(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*u**3 + 0*u - 4\/7*u**2 + 0.\nAnswer: 2*u**2*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -213, -836, -1865, -3300, -5141, -7388?\nAnswer: -10041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s**2 - 5*s - 11*s - 22 + 34 + 4*s**2 to h + t*s + c*s**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzb when three letters picked without replacement from {b: 5, z: 11}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3920 and 1.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 210, -2 in ascending order.\nAnswer: -4, -2, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -1 - -3) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/6 - (-5)\/3. Suppose f*r - 24 = -2*r. Suppose 0 = -4*q + g + 50, -2*q + g = r*g - 14. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7, 2, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + m**2 + 1. Let j(f) = -11*f**3 - 13*f + 6. Let t(s) = 5*s**3 + 6*s - 3. Let w(b) = -6*j(b) - 13*t(b). Calculate 3*k(y) - w(y).\nAnswer: 2*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11.36?  (a) -33  (b) 5  (c) 143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29.047 + 0.047. Let d = p + 28.6. Suppose -5 = -s, 0 = 4*h - 3*h + 4*s - 19. What is the nearest to h in -2, -3\/8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**3 + 9*x**5 - 3*x**3 + (x**3 - 2*x**3 + 2*x**3)*(-3*x + x**2 + 3*x) - 3*x**5 + 6*x**5 - 5*x**5 + x**5 - x**3 + x**3.\nAnswer: 9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16436, -16435, -16434, -16433, -16432, -16431?\n\"Answer: j - 16437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*r**5\/7 - 202*r**4\/7 + 68*r**3\/7.\nAnswer: -2*r**3*(r + 34)*(3*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2*r + 0)*(r**2 + 3*r**2 - 2*r**2) - 6 + 3 - 2*r**3 + 135*r**2 - 132*r**2 as g*r**2 + j*r + n*r**3 + m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 17\/7744?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -45443 (base 7) to base 3\nAnswer: -120211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*h = -63*h + 84 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*q**3 - 450*q**2 - 73*q**2 + 2 - 16*q**3 - 11*q**3 as s*q**3 + c + i*q**2 + f*q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1447*n**6 - 5*n**3 + 3*n**2 - 1161*n wrt n?\nAnswer: 173640*n**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of d**4\/2 + d**3\/6 - 5*d**2\/2 + d. Let a(x) = 12*x**2 + 2*x - 9. Let j(k) = 4*a(k) - 7*g(k). What is the units digit of j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1660, 6640, 14948, 26590, 41572, 59900?\n\"Answer: d**3 + 1658*d**2 - d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 96565130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 7*v - 3. Let t be o(1). Solve -6*j + 4*j - t*n + 14 = 0, 2*n - 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-4 + -2*sqrt(325) + -2)**2 + (-1 + sqrt(325)*-1 + sqrt(325) + sqrt(325) + 5)**2 + -1).\nAnswer: 480*sqrt(13) + 5028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2334, 2, -19, -4 in decreasing order.\nAnswer: 2334, 2, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 1.8. Let n = 4.497 - -0.503. What is the nearest to 0 in 1\/8, n, c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z*z*(z**(2\/3)\/z)\/z*z))**30\/((z*z*(z\/(z\/((z\/(z**(-3\/2)\/z))\/z)*z))\/z*z)\/(z*z**2\/z)))**(-2\/17))**(1\/28) assuming z is positive.\nAnswer: z**(43\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 14037 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 122719\/2062 - 15\/1031. What is the third biggest value in 8, u, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -10*q**2 + q - 2. Let w(g) = -19*g**2 + g - 4. Let v(k) = -3*w(k) + 5*x(k). Does 13 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {k: 2, w: 1, c: 4, p: 2, b: 3, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 274 - 10. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 4*x**2 - 3*x - 16. What is o(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 2*n**4 + 4*n**3\/3 - 4*n - 2. Let k(s) = s**3 - 5*s + 6. Let u be k(2). Let o(d) = d**3 + d**2 - 1. What is u*o(j) - b(j)?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 + 25*c**2 - 10*c + 6. Let h be p(24). Suppose -h = -10*l - 72. What is the remainder when (-9)\/(-6)*6\/l*147 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1204690 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -2*c - 4*o + 42, 2*c = 3*o + 63. Calculate the greatest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1410.18448 to the nearest integer.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 243432 = -4*m, -m - 2*m - t = 182574. Let u be m\/117 + 2\/13. What is the smallest common multiple of 2\/12 - u\/48 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1057 and -0.2?\nAnswer: 211.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1112100020100 + 0?\nAnswer: -1112100020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + -2011?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(48)\/sqrt(6) - (1 + sqrt(32)).\nAnswer: -2*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -703*h**2 + 62*h + 77*h - 140*h to the form n*h + i*h**2 + f and give i.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 AM and 8:59 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-18) - 48\/(-27). Suppose a = 2*g + 37 + 27, -130 = -p*a + 5*g. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55154778, 110309558, 165464338, 220619118, 275773898, 330928678?\nAnswer: 386083458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6797262ml to litres.\nAnswer: 0.0006797262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 193067384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10, 22, 56, 124, 238, 410, 652, 976?\n\"Answer: 2*z**3 - z**2 + z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c**2 + c - 1. Let a(h) = -h**2 - h + 1. Determine 6*a(q) + 6*u(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -2, 17, 72, 19, 1.\nAnswer: -41, -2, 1, 17, 19, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 6*l**3 + 17775*l**2\/2 + 75339*l\/2 + 8862 = 0.\nAnswer: -1477, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**7*t)**4 assuming t is positive.\nAnswer: t**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13 and -1410.\nAnswer: -18330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-5*-3*sqrt(52)\/sqrt(4))**2.\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -715*q**4\/24 - 571*q**3\/6 + 9*q**2 - 14*q. Find the first derivative of b(c) wrt c.\nAnswer: -715","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (0 + sqrt(44)))**2 - (sqrt(11)*2)**2*-1.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6, 8.6, -0.4, -47, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -8*a**2 - 3*a - 6. Let q(i) = -26*i**2 - 10*i - 20. Let u(j) = -10*f(j) + 3*q(j). Let c(n) = 362*n. What is c(u(v))?\nAnswer: 724*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 179603328 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162524519*s + 162524519*s + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 779 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101220 + 111110?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/7, -677, -3739?\nAnswer: -677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h. Let t be ((-12)\/9)\/((-4)\/12). Suppose -25 + 5 = -t*z - 4*j, z - 4*j + 5 = 0. Suppose -3*m - z*n + 20 = -7*m, 2*n = 8. What is x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19758606997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.07  (b) 4  (c) 0.2  (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 87 and 4669878?\nAnswer: 135426462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*13\/(-65))\/(-3 + 316\/88).\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 6 + 34 + -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t**2 + 17*t + 28. Let w be j(-2). Suppose 9*i - 44 = -w*k + 4*i, 2*k = 4*i + 44. Calculate the greatest common divisor of k and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 64506.57t?\nAnswer: 64506570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + 3 + 1 + sqrt(17) - (-3 + sqrt(153)).\nAnswer: -sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 t when four letters picked without replacement from {c: 2, b: 4, n: 1, t: 9}?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 2*w + 9, 5*t + 0*t - 40 = -5*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13381 - 3?\nAnswer: 13378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 56480 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 140 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/8*22\/3465*28?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 8636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1529356.9 - 0?\nAnswer: 1529356.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259426 is divided by 261?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003211 to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 1. Let j(x) = 5 - 7*x + 26*x + 2*x**2 - 17*x - 2*x. Let m = -6 + 11. Give m*o(d) - j(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1508509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 5*r**3 - r**2 + r + 1. Let o be a(-1). Suppose n = 5*w + 51, 3*n - n - 4*w - 84 = 0. Does 7 divide (1 + 3\/o)*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 2*b - 34, 13*l + 2*b = 279 + 19. Suppose -2*z = -46 - 4. Suppose -z = -6*u + u - 5*m, -m = 1. Calculate the least common multiple of l and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by 3258.\nAnswer: 5\/1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 3) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 85922947 a multiple of 1304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 36*1\/((-6)\/(-8)). Suppose -17*i + 25*i = 40. Suppose i*l = 4*l - 5*f + 2, -4*f = 4*l - 40. What is the greatest common factor of d and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 24115303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21366 - -4444117\/208. What is the common denominator of w and (12\/32)\/((-8)\/(-36))?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26582 is divided by 26576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -28320, -56644, -84968, -113292, -141616?\n\"Answer: -28324*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 13 = 2*l - 2*c, 0 = 5*c + 20. Let u be 37 - 3 - -2 - -1. Suppose -u = -4*q - 13. What is the remainder when q is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41451215 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.095 + 0.095. What is the closest to 2 in 0.03, i, -1\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -3*t + 426. Let h = t - 36. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -24 - 1027838*p**2 + 2055714*p**2 - 1027819*p**2. Let c(m) = -2*m**2 - 4*m - 3. Let k be c(-5). Let v(a) = 7*a**2 - 3. What is k*v(y) + 4*q(y)?\nAnswer: -3*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(660))\/sqrt(11))\/(sqrt(300)*-4))**2.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 261325.\nAnswer: 5, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((-5)\/(-1))*6\/(-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 7:05 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*h**3 + 2911 - 2911.\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/2*(2 + -44)\/7. Suppose -692 = -l + p*y + 2*y, l - 687 = 4*y. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1022*-0.027657.\nAnswer: -28.265454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -4*i + 3*t - 11, -5*t = -5*i - 15. Let l be -2*1 + 428 + i. Let v = l - 4221\/10. Calculate the common denominator of 95\/16 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 861?\nAnswer: -861.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -339139*-0.97.\nAnswer: 328964.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - h - 1298 = -5*z, 8 = 4*h. Suppose -5*x - 4*g + 584 = 0, -2*x + 2*g + z = -3*g. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 42 + -61c?\nAnswer: -5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-220 + 220 - 16*h)*(33*h + 29*h - 9*h).\nAnswer: -848*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 AM and 9:48 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 + 3*v**2 - 3*v + 4. Let g be q(-3). Suppose -3*w + g = -14. Solve 0 = 2*l + m + 7, -2*l + 4*m - w = 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79121855.000086 - -79121922. Let p = 484 + -551. Let m = p + h. What is m rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*o - 39 = 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 752400 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 10*f. Let g(d) = d. Let n(w) = b(w) - 6*g(w). Let u(z) = -3*z**2. What is u(n(a))?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - 7*m**2 - 15*m + 28. Calculate the lowest common multiple of c(9) and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 219008 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cyxetytktkkcxkktt. What is prob of picking 1 c, 1 t, and 1 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*d = -47, 4*d + d = -5. Suppose -2*a + 7 = -15. What is the highest common divisor of a and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33772400 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*v = -4*d + 39*v + 9401, 3*d = -v + 7105. Calculate the highest common divisor of d and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 1 - 1)*(6*k - k + 7*k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 3 - 3 + 35*w. Let q(d) = 2*d**2 - d - 8. Let h(u) = -14*u**2 + 6*u + 48. Let y(p) = h(p) + 6*q(p). Determine x(y(c)).\nAnswer: -70*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 + 5*l**2 + 2*l + 4. Let j be r(-5). Let c(b) = -b**3 - b**2 - 5*b - 4. Let p(o) = -o**3 - 5*o - 5. Let d(f) = 7*c(f) - 6*p(f). Give d(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o + o**3 - 2*o - 5*o + 5*o - o**3 + (2*o**2 - 4*o + 4*o)*(-o + 0*o + 2*o) + o - 2*o**3 - o + (-2 + 2 + o)*(3 - 2*o**2 - 3) - 4*o**3 + 0*o**3 + 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c - 4. Let r(b) = b - 3. Let p(z) = 2*i(z) - 3*r(z). Let t(d) = 8*d - 4. Determine 6*p(f) + t(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -7. Let v = 37021 + -37020.952. What is the nearest to v in n, -4\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 320\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fourty-two fifths of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {u: 1, b: 1, s: 11, h: 1, l: 6}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -2*s**4\/3 + 19*s**3\/3 - 57*s**2. Let x be a(2). Solve x = -4*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(7\/3)\/r)**(-1\/4)\/(r**19\/(r*r\/(r**1*r*r)*r)) assuming r is positive.\nAnswer: r**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.29 + -0.59. What is the closest to -8 in v, 0.2, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 + 68. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 - 8*f**2 - f + 15. Suppose 0*j + 12 = j. Calculate the remainder when b(-8) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -8*t**5 - 10*t**4 + 13*t**3 - 5*t**2 + 5. Let f(n) = 9*n**5 + 11*n**4 - 14*n**3 + 6*n**2 - 6. Let v(o) = 5*f(o) + 6*q(o). Factor v(b).\nAnswer: -b**3*(b - 1)*(3*b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -58209, -56263, -54327, -52407, -50509, -48639, -46803, -45007?\n\"Answer: -h**3 + h**2 + 1950*h - 60159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 9:21 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*h - 5*h - 174*h.\nAnswer: -199*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 18384*i - 91. Is u(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11324992*k*q + 30733583*k with respect to q.\nAnswer: -11324992*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 241 = 409. Suppose 68 = 2*x + 4*d, 0 = -5*x - 5*d + d + 170. Calculate the remainder when k is divided by x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 293464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -205152 - -12?\nAnswer: -205140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 88*q = 89*q + 1056, p - 2*q - 362 = 0. Calculate the remainder when p is divided by 107.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12222 or 12223?\nAnswer: 12222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 157 - 92. What is the highest common factor of 26 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 8375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 26 = 5*x - 20, 3*l + 4*x = 37 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gcggkkgkgkckc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9383451 divided by 13?\nAnswer: 9383451\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 - 7*b - 1. Let f be c(-6). Suppose 0 = 7*g - f*g - 24. Solve 0*o + 5*q - 15 = -3*o, o - 4*q = -g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/4)\/((-2)\/68). Let q be (12 - 0) + 11\/(11\/(-4)). Let v be q\/20*(p + -3). Which is smaller: v or -27\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -1143?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 77940877.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/658, -2, 7, 2\/5 in descending order.\nAnswer: 7, 2\/5, -1\/658, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -3*t**2 + 8*t + 8. Let k(s) be the third derivative of -s**5\/15 + 3*s**4\/8 + 3*s**3\/2 + 543*s**2. Calculate 6*i(q) - 5*k(q).\nAnswer: 2*q**2 + 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6006780 by -25670.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/4)\/((-2)\/(-8)). Suppose r + 360 = p*r. What are the prime factors of r*(-3)\/24*-6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, k: 5, o: 4, c: 1, l: 1}. What is prob of sequence ll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2740*o - 5481*o + 0*o**2 - 2*o**4 - 2*o**2 + 2739*o + 1 in the form c*o**4 + q + h*o**3 + g*o**2 + i*o and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -89*p**3 - 9*p**2 - 5. Let x(o) = 133*o**3 + 14*o**2 + 8. Let g(s) = 8*f(s) + 5*x(s). Find the third derivative of g(j) wrt j.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/13?  (a) 5  (b) -6\/13  (c) -5  (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75*r**2\/2 - 147*r\/2 + 3.\nAnswer: -3*(r + 2)*(25*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1127672, -1127670, -1127660, -1127636, -1127592, -1127522, -1127420?\nAnswer: -1127280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 253 and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-22)\/(-77)*-1 - 23\/(-7). Find u, given that 10*u**c - 20*u**5 + 10*u**5 + 8*u**5 - 2*u**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -516 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - 3\/((-72)\/32036979). Let g = -1331299 + b. Let l = g + -3581. What is the common denominator of l and -25\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-252)\/(-1356))\/(-7) - ((-148)\/666 - 8\/(-36))\nAnswer: -3\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of -1\/2*v**2 + v**3 + 1\/5*v**5 - 3\/4*v**4 + 2 + 0*v. Factor d(i).\nAnswer: i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 3 = -w, 0*v = 5*v - 10. Calculate the smallest common multiple of 56\/10 + 4\/10 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1431 - (-72)\/(-6)*(-3)\/6?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-71)\/15 + 2 + 1. Let o = 12\/5 + z. Let w = -9 - -8.9. What is the closest to w in o, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 123*a**2 - 195*a**2 + 1000 + 349*a**2 wrt a.\nAnswer: 554*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 2*v**2 + 133*v. Determine p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 50277501*k**2*t + k*t - 20916*k - 1135*t wrt k.\nAnswer: 100555002*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 + z - 5. Let s be v(-4). Suppose 2*i - 21 = -1. What is the lowest common multiple of i and 51\/s - 2\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -161, 93, 523, 1135, 1935, 2929?\n\"Answer: v**3 + 82*v**2 + v - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v = 8*v + 5*m - 105, 0 = 2*v - m + 48. Let j(n) = n**2 + 25*n - 29. What is j(v)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (186\/1550)\/(((-3)\/2)\/(-1))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 30*o + 168. Let x(i) = -7*i**2 - 60*i + 20. Let a be x(-9). Calculate t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 AM and 3:08 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 49909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 410855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 752 and 11374.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {e: 1, w: 2, g: 1, p: 3, a: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 PM and 5:34 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o - 35. Let h(a) = a - 17. Let y(m) = 13*h(m) - 6*n(m). Let r = 3 + 2. Let q = r + 1. Calculate y(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(7\/6))\/(b\/((b*b**(3\/4))\/b)*b)*b**(-5\/2)*b**(-41) assuming b is positive.\nAnswer: b**(-539\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 5 = -2*z - 0*z, 9 = -3*i. Let j(g) be the first derivative of 0*g + 2 - 1\/2*g**z + 0*g**2 - 2\/3*g**3. Suppose j(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 785815.0999982 + -785815. Let v = t + -0.1. Round v to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -4*c**3 + 1486*c**2 - 117*c - 231875. What is s(371)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101011100101 (base 2) in base 4?\nAnswer: -2223211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3343 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91653040 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11792)\/(-231) + 17\/(-357) + 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 112 + 9. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -87 - -274?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, 2\/7, 4 in descending order.\nAnswer: 4, 2\/7, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1132\/9 + 133. Calculate the common denominator of n and 20\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - -1. Solve 13*g = 9*g - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from jmccwcccyj.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 26 = -6. Let r = 0 - 1. Let o = r - f. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70645929 to the power of 1\/2, to the nearest integer?\nAnswer: 8405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 19  (b) -0.1  (c) 1\/6  (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u = 107*u + 4*u - 250. Let y = -1.5 + -5.5. Let a = y - -6.5. Is a greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -252*d. Let j(c) = -31*c**2 + 59*c + 59*c + 62*c - 180*c. Calculate j(s(y)).\nAnswer: -1968624*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jfff when four letters picked without replacement from ffjjfjfjfjjfj.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-4 - 1) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1435197056 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8*5\/(-30))\/((-12)\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-9 - -4) - (-4 - (-2 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -638 by 37.\nAnswer: -638\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0  (b) 5  (c) 1\/46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -13*a**3 + 3*a**2 - 3*a - 6. Let r(d) = 13*d**3 - 2*d**2 + 2*d + 5. Calculate -3*m(o) - 4*r(o).\nAnswer: -13*o**3 - o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (324\/15)\/((-6)\/(-15)). Calculate the highest common divisor of 135 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 860449 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 2*k - 380, -s = k - 0*k - 192. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*n*z**3 + 3*n*z**2 - 4*n*z + 2*n + z**3 - 7*z wrt z.\nAnswer: 54*n*z + 6*n + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*b**3 - 19*b**3 - 6 + 6.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 71446 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 638 = -d - 2*q, 264 = 2*d - 3*q. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (7 - 14) + 8 + -11 + 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3854.926 rounded to the nearest 10?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 - 1 = r - n, -24*r + 2*n = -39*r + 19*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1250 and 1300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**3 + 4*g**2 - 4*g + 2. Let h(p) = -2*p + 14. Let m be h(6). Give z(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21235 and 58225.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 38, 1085, 3922, 9443, 18542, 32113, 51050?\n\"Answer: 149*g**3 + g**2 + g - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c\/(c*((c\/((c**(-4\/3)*c*c)\/c))\/c)\/c))\/c)\/(c\/c**(-2\/3)))\/(c**2*c*c*c*c**(-2)) assuming c is positive.\nAnswer: c**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1085695 divided by -1?\nAnswer: 1085695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 463*g + 10242 = -323*g + 22393 + 9857 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 15 - (9 - 5). What is the second derivative of -x + 4 - t*x**2 - 39*x**2 - 12*x**2 - 7*x**2 wrt x?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-6)*((-52)\/325 - 748\/(-1925)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let u**3\/5 - 1603*u**2\/5 - 1006576*u\/5 - 2006732\/5 = 0. Calculate u.\nAnswer: -481, -2, 2086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 26994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/860 and 37\/1290.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49684, 49688, 49694, 49702?\nAnswer: 49712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-182)\/(-455) - 1\/(5\/(-133))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.63 from -609082908.\nAnswer: -609082909.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.02465 - 0.024636296. What is v rounded to 7 decimal places?\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 154745 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11904006.\nAnswer: 2, 3, 1109, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 315836 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24728, -49455, -74182, -98909, -123636, -148363?\nAnswer: -173090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h**2 + 4*h + 3. Let z be s(-3). Let t = 32 + z. Let a = t - -10. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 4*l**2 - 6*l + 14. Calculate m(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/60864 and 1\/26406?\nAnswer: 267862464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -199\/6 + 33. Let m = 95 - 95.4. What is the nearest to 1\/4 in b, 5, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.710832834 to 1 decimal place.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 - 27 - (10 - (0 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5515 - ((-56)\/12 + (-5)\/15). What is o rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -50 - -62. Let s be 4\/(-16) + 51\/k. Solve s*x - 3*b = b + 8, x + 7 = 4*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176573.\nAnswer: 176573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r*r**(-3)*r*r*r**(-3)*r*r**(-3)*r*r*r**0*r assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by -211486.\nAnswer: 9\/211486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 2.672129ml?\nAnswer: 0.002672129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of 96*z**5\/5 - z**4\/4 + z**3\/6 + z**2 - 7*z + 2. List the prime factors of w(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -7278639, -7278624, -7278607, -7278594, -7278591, -7278604?\n\"Answer: -w**3 + 7*w**2 + w - 7278646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 37 - (5 + (-3)\/1). Suppose 0 = 2*w - 31 - d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*a + 7 = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**2 - 2*b**4 + b**2 + (2*b + 4*b - 4*b)*(-2*b**3 - 1 + 1) - b**2 + b**4 + b**2 + (2*b**3 - 5*b**3 + 9*b**3)*(0 + 1 + 1)*(b + 0*b + 4*b).\nAnswer: 55*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1974885000 rounded to the nearest 1000000?\nAnswer: 1975000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.11 not equal to -12019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0803 - -0.0197. Put h, -1, 1, -3\/7 in decreasing order.\nAnswer: 1, h, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12089, 11628, 11157, 10670, 10161, 9624?\nAnswer: 9053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 412.6 and -20.48?\nAnswer: -8450.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 10. Let t be (9\/4)\/r - 0. Which is bigger: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5*-2*sqrt(68) + (sqrt(68) - (sqrt(68) - -2*sqrt(68)*-2)) - (-4 + -1*(sqrt(68) - (-1*sqrt(68) + -1))))**2.\nAnswer: -2226 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -8 - (30 + 10 + -53).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - (-2)\/(-3))\/(-27*16\/(-6480)). Solve -m*b - 3 - 2 = 5*w, -4*w = 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7 + (-4)\/((-4)\/(-3)). What is the second derivative of -38*n**q + 30*n + 77 - 77 wrt n?\nAnswer: -456*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -65 or -2\/33353?\nAnswer: -2\/33353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, p: 3}. What is prob of sequence bbpp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*y - 6*y. Let v(x) = -3 - x**y - 5 - 22*x + 13*x. Calculate the lowest common multiple of v(-6) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - f + 2012, -j + 0*f = -3*f - 396. Calculate the greatest common factor of j and 1072.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -10 and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 4 and -1\/73 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + sqrt(76)*1)*3)\/(2*sqrt(256)).\nAnswer: -5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1992 + -2.1992. Let y(z) = -3*z. Let r be y(-1). Let o = 0 - -0.1. What is the closest to o in c, -3, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-37 + 33 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (207\/(-18) + 8)\/((-1)\/4). Solve 8*m = d*m - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 114.67616 - 0.0372\nAnswer: 114.63896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 373.1 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-24)\/14 + 1)*-7. What are the prime factors of (-7)\/c + 1 + (-327)\/(-5)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 881064557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208914733.\nAnswer: 208914733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, -6\/7, 0.00198?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bhh when three letters picked without replacement from hhhbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2563, -2578, -2627, -2728, -2899, -3158, -3523, -4012?\n\"Answer: -3*j**3 + j**2 + 3*j - 2564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 times -7\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 110 - 38 - 67 - (1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102 = 3*o + 579. Let l = o - -231. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/10 - 2\/10. Suppose x = -r + 6*r - 405. Suppose -4*y = f - 2*f - 75, 3*f = 4*y - r. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - -3. Let v = 9 + -4. Let p = v + y. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1120)\/2300 - (16\/56 - 120\/322). Sort 0.363, 1\/2, 1\/5, 0, v in increasing order.\nAnswer: v, 0, 1\/5, 0.363, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11433218 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*m - 25 = -2605. What is the remainder when m is divided by 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5121 and 5296821?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - 3*d**2 + 6*d - 1. Calculate v(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4, 1, 9.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1772.181661 rounded to 2 decimal places?\nAnswer: -1772.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1193 times -2?\nAnswer: 2386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*g + 12*g - 36000. Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 2*x - 617 = 0, -3*x = s - 2*s + 126. Let a = s + -85. Suppose j + a = 2*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7758900 and 1956967?\nAnswer: 8621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 4275935468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52026, 51959, 51892, 51825?\nAnswer: 51758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20425237142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-6 - 7) + 11)\/(2\/(-3 + -15923)).\nAnswer: 2, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 162 by -4.\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w**2 - 28 + 28 + 16*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 7 times 1.6\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-1\/3)\/(j\/j**6)*((j*j*(j*j*j**3*j*j)\/j)\/j*j*j*j)\/(j**(-5)\/j) assuming j is positive.\nAnswer: j**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2*s = 546, -3*p - s - 319 = 488. Let u = p - -294. Let j = -84 + 120. What is the lowest common multiple of j and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 573576581 to the nearest one hundred thousand.\nAnswer: 573600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21004*d - 48 = 21020*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**11*z**17 assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, h: 3}. What is prob of picking 1 h and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-8 + 15) - 13 - -18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/8 + (-123)\/12. Let l = 12 + o. Let u = l + 0. Solve 0 = u*z - 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*(((sqrt(33)*2)\/sqrt(3) - (sqrt(11) + sqrt(176)*-1)) + -2))**2.\nAnswer: -720*sqrt(11) + 10044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-33)*t**(-13)\/t)\/((t*t\/(t*t\/(t*t**1\/t)*t*t))\/t)**(1\/4))**(-7) assuming t is positive.\nAnswer: t**(637\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1174978 by -6601.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.9 + -3.1. Let j = -13 - i. What is the closest to j in 5, -4\/3, 0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of -1\/3*b**3 + 0*b + 0*b**2 + 2. Let q(w) = w. Determine q(c(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 27, -10, 6, -1 in descending order.\nAnswer: 27, 6, 2, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2036556 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/((j*j*j**5)\/j)*j*j\/j**(-3))\/(j**6*j\/(j**(1\/11)\/j)))**(-49))**34 assuming j is positive.\nAnswer: j**(144942\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 3 - 3*n + 3 - 5.\nAnswer: -3*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**5\/15 + 165694*t**4\/5 - 99418*t**3\/3 - 1491242*t**2\/15 + 828472*t\/5 - 994168\/15 = 0.\nAnswer: -248542, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (77\/(-76) - -1) + 0. Suppose 206*q - 15 = 207*q. Let m(f) = f**3 + 13*f**2 - 27*f + 46. Let p be m(q). Which is bigger: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c + 9. Let h be n(7). Let f be ((-4)\/(-3) - h)*-3. Sort -3, 5, f.\nAnswer: -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a century in months?\nAnswer: 15360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7.9 + 8. Let l = 3.4 + -3. Is c != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 127 - -4. Does 35 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3334 + 2?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 20203087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3 - ((-1 - -14) + 45 + -52)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-30) + (-1)\/(-5). Suppose l = 3*o - 8*o. Is 1\/3 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -3, -1, 3, 2, -5, 66470 in decreasing order.\nAnswer: 66470, 24, 3, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33\/209 + (-3873940)\/(-532)?\nAnswer: 2, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11897 + 94865\/8. Let x = 619\/8 + k. Find the common denominator of x and (345\/18)\/(21\/9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 66*m - 47. What is the tens digit of x(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 176\/3*t**2 - 136 - 500\/3*t + 4*t**3.\nAnswer: 4*(t - 3)*(t + 17)*(3*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 10:57 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5446\/136371 or 0?\nAnswer: -5446\/136371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 2*p - 3. Let q = 17 + -22. Calculate the remainder when 43 is divided by r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.744744574 - 20.3.\nAnswer: -23.044744574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 8:25 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + r = -6, -4*l + 92 - 93 = 5*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 5:44 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-1\/2)*r**(-5\/7)\/r)**(-5\/2) assuming r is positive.\nAnswer: r**(85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 720*f - 18 = -717*f, 0 = -p + 8*f + 48 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h + 1. Let n(v) = -v**2 - v + 1. Let y(j) = n(j) - p(j). Let c(a) = -223*a. What is y(c(o))?\nAnswer: -49729*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 - 18. Suppose 0 = -y*n - 54 + 262. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 7:54 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1418*i - 2570 wrt i.\nAnswer: -1418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -215270000 rounded to the nearest 1000000?\nAnswer: -215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 9*n**2 + 10*n + 16. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -75. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -be7966?\nAnswer: be7967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/(-2*sqrt(729)))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -5, 125.\nAnswer: -5, -4, -1, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1857687223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 717122213?\nAnswer: 9791, 73243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 178778 * 2880.\nAnswer: 514880640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of 2*q**2 - 2*q + 6. Let m be k(3). Let f = -11 + m. Which is bigger: f or -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 141461 + 2*n - 130764 + 0*n - n to the form r + v*n and give r.\nAnswer: 10697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -111419\/12 - -9295. Let t = -456643\/32 - -14272. What is the common denominator of x and t?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (66\/(-20))\/(-11)*-2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 562298?\nAnswer: 2, 11, 61, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-40)\/(-12)*3\/(-15). Let j = -4.586 - 0.014. Let n = -5 - j. Which is the nearest to -1\/3?  (a) z  (b) 1\/2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x = -8*x - 4*a + 12, -a + 5 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5a - 97?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*s**2 - 111 - 3*s**2 + s**3 - s**2 - 7*s**2 + 4*s**2 - 2*s in the form a*s + k*s**2 + p*s**3 + l and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21673891.\nAnswer: 1327, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -660.75 and 34.\nAnswer: -22465.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5817, -5784, -5751?\nAnswer: -5718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnconnonnzio. Give prob of picking 1 i and 1 c.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 636*z - 288126. Determine o(453).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 148 (base 9) to base 3.\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-3 + sqrt(1300)*-3 - sqrt(1300))**2.\nAnswer: 240*sqrt(13) + 20805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**3 - 8812*k**2 - 17652*k + 211536 = 0.\nAnswer: -6, 4, 8814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of t**4\/8 + 5*t**3\/4 - 9*t**2\/2 - 8*t. Factor b(h).\nAnswer: 3*(h - 1)*(h + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228246620 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(114)*1*4 + sqrt(114) - sqrt(114))*-3*1)\/((sqrt(96) - 2*(sqrt(96)*-2 + sqrt(96) + sqrt(96))) + 2*(sqrt(96)*-2 + sqrt(96))))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w + 2*w**2 + 0*w - 4*w**2 + 3*w + 12*w + 4 + 21*w + (-1 + 1 + 1)*(-2*w - 2*w**2 + 2*w) + 1 + w**2 - 1.\nAnswer: -3*w**2 + 36*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1008) + sqrt(1008))*2)**2 + 1 + (-2*sqrt(14)\/sqrt(2) + sqrt(7))**2.\nAnswer: -192*sqrt(7) + 16140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1a0 + -7?\nAnswer: -1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of 13*z**4\/10 + 76*z**3\/15 + 37*z**2\/5 + 24*z\/5 + 811. Find w such that r(w) = 0.\nAnswer: -1, -12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -57*n**4\/8 + 1587*n**3\/8 + 63*n**2\/2 = 0.\nAnswer: -3\/19, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*k = -0*k - 25, 0 = 2*g - k - 41. Calculate the smallest common multiple of 10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/13755 and -23\/6539520?\nAnswer: 45776640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(2\/220*6). Let g = 57 - v. Suppose 3*c = c - 2*z + 340, 4*c - 662 = g*z. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/(-24)*5408\/48. Let u = -42 - y. Which is the closest to u?  (a) 5  (b) -1\/5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 21899007, 43798032, 65697059, 87596088, 109495119, 131394152?\n\"Answer: q**2 + 21899022*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -338 = 9*j - 311 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 - 6*v**2 + 5*v + 1. Let t be r(5). Let i(a) = t + 2 - 6 + 5*a**2 - 3*a - 4*a**2. Give i(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2020613000 + 2?\nAnswer: -2020612665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = q + 2*v + 20, -q + 30 = -5*v. Let d be (4\/(-6))\/(1\/(-3)). Suppose -d*h = 2*h. Sort q, -5, h.\nAnswer: -5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 8*g - 5745. Suppose -g = -5*x + 71. Find the second derivative of -x*w - w**3 + 263*w + 9*w**3 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c + 24*c = -31 - 41 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*q**2)*(-77 + 45 + 78 + 166).\nAnswer: -424*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 22454371 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00908 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 129265.5 millennia in months?\nAnswer: 1551186000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 5*m = 3. Let i = m - -6. Suppose -i*z + 74 = -3*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q + 955 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1672056?\nAnswer: 2, 3, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -2 - 0 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 25 - (-18 + 54111\/1258). Which is smaller: r or 74?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 6:12 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3628 - 66?\nAnswer: -3705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 128631.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.167 and -103982.\nAnswer: -17364.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = a + 5*n - 4, 3*a - 2*n - 6 = 0. Put 0.5, a, -9 in descending order.\nAnswer: 0.5, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25509 is divided by 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -112667.7 rounded to the nearest 100?\nAnswer: -112700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 160 = -4*t. Suppose -6*p + p = 4*m - 62, -39 = -3*p - 3*m. Calculate the greatest common divisor of t and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1250 - 329 = -41*o + 389. What is the remainder when 176 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(567) - (sqrt(567) + 0 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((13 - -1) + 3)*-3. Which is smaller: -23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 130  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 11216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -96903510.\nAnswer: 290710530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5.827656 litres?\nAnswer: 5827.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(3) - sqrt(3))*-3 - sqrt(3) - sqrt(192)*-2 - (5*((sqrt(3) - (sqrt(3) + 2)) + sqrt(3) + 1))**2)*-5.\nAnswer: -325*sqrt(3) + 485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((28\/(-300))\/(-7)). Suppose 4*n + n + 3*q = -r, n = 3*q + 3. Let i be 3 + -1 - (n + -4799986). Round i to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4754, 4790, 4820, 4844?\nAnswer: 4862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 + (4 - 6 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 10:28 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 49.742, -0.5, 0.2, 6\/7?\nAnswer: 49.742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 28 = -0. Solve -3*g - 4 = -k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 36. Which is the smallest value?  (a) h  (b) 0.2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 253428341?\nAnswer: 253428341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 6:36 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 - 15*p**2 + 18*p + 26. Suppose 17*v + 23 = 261. Let y be c(v). Let l = y + -68. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*q**2 - 6*q**2 - 59 - 85 - 17 + 28 as b*q + a*q**2 + o and give o.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(15\/5*1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 75 - 74. Let o = -2\/105 + -4\/15. Which is the nearest to o?  (a) d  (b) 0.3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -102*t - 847. Calculate k(0).\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3191, -6371, -9551, -12731, -15911, -19091?\nAnswer: -22271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2ca332 (base 14) to base 10.\nAnswer: 1564712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 44 = -4*b, -12*g + 230 = -8*g - 2*b. Suppose 3*h - 56 = h. Calculate the greatest common factor of g and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 2, -4, 183, 3, 11 in decreasing order.\nAnswer: 183, 11, 6, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3*h - 12 = 0, -115 = -5*l - 2*h - 2*h. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -8, -1, -6 in decreasing order.\nAnswer: -1, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 6:04 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6, m: 4, a: 3, b: 3, k: 2, s: 1}. What is prob of picking 1 i, 1 s, 1 a, and 1 m?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(6\/6) - -3. Find the third derivative of 256*i - 256*i + v*i**2 + 43*i**3 wrt i.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 2*m**2 - m + 1. Let c(q) = 147*q**3 + 3*q**2 + 124*q - 3. Let j(g) = 3*b(g) + c(g). What is the third derivative of j(u) wrt u?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of (-27*1*1)\/((-9)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3915 times -0.95\nAnswer: 3719.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - p - 5 = -1, -5*p = -4*t + 20. Let j = 2 + t. Find the third derivative of -5*h**j + 8*h**2 - 2*h**2 + 6*h**3 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 237*y - 230*y = -7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -29 + 80*m**4 - 163*m**4 + 82*m**4 + (-m + m - 3*m**3)*(-m + m + m) + 3*m**2 - 3*m**2 - 19*m**4.\nAnswer: -23*m**4 - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - 5. Let p(c) be the first derivative of -c**2 - 4*c + 7. Let x(w) = -3*p(w) + 2*u(w). Let z(s) = -5*s - 3. Determine 4*x(n) + 3*z(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/1 + 191 + -190 + 37?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*o*s**3*y - 2*o*s*y - 3*o - s**4 + 11*s**2*y + 3*s*y + 2*s wrt s?\nAnswer: -24*o*s*y - 12*s**2 + 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02800192 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 9170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -10, -0.01, 0.5, -0.4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmoomooo. What is prob of picking 3 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 129 - 127. Suppose -17 = -2*a - 3. Suppose a = d - p. Solve -5*s + d*s = -16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0 = -14. Suppose -3*d + 50 = 2*d. Let c = d + y. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 6*w**2 - w + 2. Let x be r(6). Let m = x - -19. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 728356171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18784 - -18788. Solve -16*i + 18*i + u*d + 6 = 0, 3*d + 8 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20563, 20391, 19885, 18877, 17199, 14683, 11161?\nAnswer: 6465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of -2*n**7\/35 + 5*n**3\/3 + 11*n**2\/2 + 14. Let o(h) be the second derivative of x(h). Differentiate o(m) wrt m.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*n = 3*n + 20, -5*k + 80 = n. Solve 2*y + 6 = -3*w, -4*w + k = -4*y - y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(11) + -5)**2 - (sqrt(33)\/sqrt(3) + sqrt(11) + -3)) + -5.\nAnswer: -8*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 - 2*a + 2411 + 0*a.\nAnswer: -2*a + 2506","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/2 and (710\/(-70)*1)\/122.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/10885?\nAnswer: -2\/10885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 14*u. Let f(d) be the second derivative of -d**7\/2520 + 7*d**4\/4 + 27*d. Let b(m) be the third derivative of f(m). What is g(b(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(1 + 1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1374*y**2 - y - 40 wrt y?\nAnswer: -2748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 142 and 70.\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 9:54 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -603*m**2 - 571*m**2 + 1560*m**2 + 1544*m**2 to h*m + n*m**2 + q and give n.\nAnswer: 1930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 11*l**4 + 2*l**3 + l + 2. Let n(m) = -m**3 + m - 1. Let x(h) = a(h) + 2*n(h). What is the second derivative of x(s) wrt s?\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qvvvvvvvq. What is prob of sequence qv?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -478.975 + 510. Let k = -0.025 + m. Let j = k + -32. Which is the third smallest value?  (a) -0.01  (b) 1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 327248 and 15368.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 3*g**2 + 6*g - 5. Let z be q(4). Suppose 4*w + 3 = -o, 5*w - 6 = z*w + 2*o. Which is the smallest value?  (a) w  (b) -0.1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 1, 5*f + 694 = -4*x + 705. Solve 0 = f*u - 3*o + 12, -5*u + 68 - 76 = -o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**2 + 11*c - 3. Let j be p(-6). Let r be 61493 + (0 + -1 - j). Let o = -43089 + r. Round o to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 3*t**3 - 2*t**2 + t + 1. Let j(r) = 8*r - 55. Let h be j(7). Let p be k(h). Put 61, p, -1 in increasing order.\nAnswer: -1, p, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 6*s**2 - 2*s - 7. Let f be r(-6). Suppose 3*p - 1 = -13. What is the common denominator of -77\/8 and (-214)\/f*p\/16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*t - 8*t**3 + 21 + 10*t**3 + 2*t**4 + 30*t to the form q*t**2 + v*t**3 + h + u*t**4 + l*t and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 + 106 = -37*x - 82 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9, 2\/7, -21, 0.01, -1\/3, 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*3*sqrt(50) - sqrt(400)\/(sqrt(16)\/sqrt(2)))\/(3*sqrt(110)\/(sqrt(704)*-2 - sqrt(704) - sqrt(11))).\nAnswer: 100*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 195039\/2 - 97518. Factor l*u**2 + 5\/2*u**3 + 7\/6*u**4 + 0*u + 1\/6*u**5 + 0.\nAnswer: u**2*(u + 1)*(u + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -10a + 1?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 + 110*d**2 + 1005*d + 62. Determine y(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 178782523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -407 + 2036\/5. What is the closest to 2\/5 in -2\/9, 2\/3, o, -2.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39546 plus 0.3?\nAnswer: -39545.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 4 - 3 + 4172*i**2 - 4089*i**2.\nAnswer: 83*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 >= -3127\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 133 times -3?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**2 - 16*s + 20. Let y be c(6). Let t be y\/(-64)*(-8)\/22. Let w = 4.06 - 4. Sort t, 0.4, w in increasing order.\nAnswer: w, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3453 (base 7) to base 6.\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -18*o**2 - 48*o + 10. Let q(p) = -7*p**2 - 17*p + 4. Let j(k) = 11*q(k) - 4*y(k). Let x(v) = -6*v**2 + 4*v + 3. What is -4*j(i) + 5*x(i)?\nAnswer: -10*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156*c - 168*c = 24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(7) + -1 + (-2*sqrt(63))\/sqrt(9) - ((sqrt(7) - (-4 + sqrt(28)\/sqrt(4))) + sqrt(28) + 3))*-2.\nAnswer: 10 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 4833616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 24*i**3 - 15*i**2 + 15*i. Let k(m) = m**3 - m**2 + m. Determine 2*b(v) - 30*k(v).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1722891 or -1722893?\nAnswer: -1722891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/5, 6, -8.80022?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, b: 3, p: 1, n: 9, s: 2}. Give prob of picking 2 s and 2 b.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 9594757, 9594753, 9594749, 9594745, 9594741, 9594737?\n\"Answer: -4*m + 9594761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 10*j**2 + 31*j + 88. What is d(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13697.377 - -349.\nAnswer: -13348.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do -5114 and -5114 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -54, -216, -494, -894, -1422, -2084, -2886?\n\"Answer: -q**3 - 52*q**2 + q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 2*v + 30 = 0. Solve v = 11*k - 16*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*d + 19786600 = 174*d + 62*d. What is d rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2 - 1 = 5*a, a - 4*n = -4. Let z = 9 - 3. Suppose -2*m + 2 = -z, 3*h + 5*m - 20 = 0. Is a less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 915521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 295803 is divided by 883.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((4\/21)\/(-1))\/(436\/654)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -798176944, -798176946, -798176948, -798176950, -798176952?\n\"Answer: -2*v - 798176942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*y + 23*y - 30. Let k(d) be the third derivative of 1\/240*d**6 + 0 + 0*d - 2*d**y + 1\/6*d**3 - 1\/60*d**5 - 1\/48*d**4. Factor k(l).\nAnswer: (l - 2)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1283?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 124 + -130. Is p at least -44\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0*(1 + 0) - (-3)\/27. Let q = 7.981 - 0.081. Let d = 6.9 - q. What is the nearest to r in d, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (462\/770)\/(9\/40).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 269 + -2961\/11. Let f = 2636\/153 + -154\/9. What is the closest to z in 0.4, -3\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 530 a factor of 26178394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -64868646*j - 196170831 wrt j?\nAnswer: -64868646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, d: 2, n: 1}. Give prob of picking 1 d and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -48.57043 to zero dps.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -5*f + 6779. Suppose w + 5*w = 7*w. Is i(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7065 + -7060. Let k = 1 + -1.5. Let o = k + 0. Sort a, -2\/11, o.\nAnswer: o, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g + 6028. Let u(m) = -2*m**2. What is u(p(k))?\nAnswer: -8*k**2 - 48224*k - 72673568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, -36, -5, -2, 6 in descending order.\nAnswer: 6, -3\/2, -2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z. Let r(j) = -j + j - 2*j + j**2. Let p(l) = 2*b(l) - r(l). Let o(v) = -3*v**2. What is o(p(a))?\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45856 and 7136.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of q**4\/6 + 6*q. Suppose -4*t - 8 + 28 = 0. Let f(y) = -3*y + 4*y + 2*y - t*y. Give h(f(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 10 = 10. Solve 0 = -0*k + t*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 + -10. Let x = c + -13. What are the prime factors of ((-16)\/2)\/(x\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183 is divided by 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 + 7*z**2 + 10*z + 10. Let n be k(8). Let y = -2 - -4. Suppose -a - 3 = -5, y*a + 21 = 5*g. Solve -n = g*w - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 13*2*(-2)\/(-4). Let w be 2*(-1708)\/8 - 0\/(-2). Let v = -413 - w. Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8967 or 8966?\nAnswer: 8967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -103.9 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 441644?\nAnswer: 2, 7, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156123 + 1131491 = -23336*t - 805446 - 170532 for t.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 3*z - 0*z - 171633, 0 = -3*y - z + 171627. Suppose -q - 6*f + 3*f + 14288 = 0, 0 = 4*q - 2*f - y. What is q rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of 1 + 49\/12*k**4 - 6*k + 3*k**2 - 5\/6*k**3. Find the second derivative of a(r) wrt r.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vys when three letters picked without replacement from {i: 2, v: 1, s: 1, h: 1, y: 1, q: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.07 + 0.04. Let f = -22 + 22.27. Let h = b - f. Which is smaller: 1\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-7\/3)\/(z\/(z*z**8)) assuming z is positive.\nAnswer: z**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 115*p**2 + 8*p - 7. Let h be j(2). Let s = h - 453. Solve 2*m = 6*m + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -13\/6  (c) 1  (d) -0.4  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -8441*f - 16514. Determine g(-2).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2 + (((sqrt(180) - sqrt(180)*1) + sqrt(180))*-2 + -4)**2)*4.\nAnswer: 1536*sqrt(5) + 11808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-69)\/(-115)*(-2)\/(-6). What is the second biggest value in 1\/8, b, 2\/23?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 108249112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 2*q = 160, -453*r + q = -423*r + 80 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 5*v, -12 = 2*v - 4. Let k be ((-48)\/10)\/(q\/650). Let t be 1\/(-3) + k\/(-306). Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1991 by -11.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/10 + 188\/20. Let p be -2 - 0*(-3)\/f. Which is smaller: p or -7\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.8 - -2.3. What is the closest to 2\/7 in f, -5, -0.08?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, -1, 3, -4.\nAnswer: -30, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1066\/180 + 8\/60 and 7\/38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 - s**3 - 85*s**2 + 97*s**2 - 5*s + 16 - 23 in the form u*s + d*s**2 + k + m*s**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7812417 times 0.043?\nAnswer: 335933.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 16 + 6*f - 57 - 3*f. Let a be l(18). Solve -2*u = -0*b - 3*b - 12, -5*b + u = a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 238320 by -720.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2620)\/(-4264050)*(-165)\/11?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h. Suppose 0*l - 5*l = -10. Let d(x) = -26*x**2 + 60*x**l - 22*x**2 - 45*x**2 - 2*x. What is t(d(r))?\nAnswer: 33*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -932674, -932727, -932792, -932875, -932982, -933119, -933292?\nAnswer: -933507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*r - 206*r**3 - 207*r**3 + 615*r**3 - 4*r - 201*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((0 + sqrt(1053)*2)*6 - (sqrt(91)*1*-2)\/(2*sqrt(112) - sqrt(112))))**2.\nAnswer: 2448628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**19*u)**(-1)*((u*u**(-22))\/u)\/(u*u\/(u\/(u*u\/(u*(((u**43*u)\/u)\/u)\/u*u*u)))))**12 assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, d: 4}. Give prob of picking 1 k and 1 d.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 2990.762 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*w**5 + 3*w**4 + w**4 - 5*w**4 + (-1 + 1 - 1)*(-216*w**2 + 216*w**2 + 4*w**5).\nAnswer: 3*w**5 - w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 441 and 117?\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m**2 - 2*m**2 + 7*m**3 - 20*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 38 + 1. Suppose -129 = -6*r + n. Find the third derivative of -2*b**2 - 2*b**2 - 17*b**4 + r*b**4 wrt b.\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-6))\/(177\/18 - (-675)\/(-75))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is 566 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 353700*m**3 - 20661*m**2 - 3*m - 2 wrt m.\nAnswer: 2122200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of -b**5\/10 + 11*b**2\/2 - 4*b + 12. Let q(d) be the first derivative of g(d). What is the derivative of q(k) wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 - 3*d - 4. Calculate h(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 278, 332, 422, 548, 710, 908, 1142?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 127, 249, 363, 463, 543, 597?\n\"Answer: -n**3 + 2*n**2 + 123*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-350) - (-34)\/(-595))\/(-17 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ljjjjdlljdljdll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 2*x - 4*x = 54, 4*q - x = -38. Let c be -1*(-1 - q) + (-5 - -7). Let n be (3\/(-63)*c)\/(2\/24). Solve n*f = 2 + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-29)\/g*g*g**(-4\/3)\/g*g assuming g is positive.\nAnswer: g**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z**3 - 4*z**2 - 4*z - 2. Let o be x(-2). What is the third derivative of 0*s**o + 3*s**2 + 3*s**6 + 0*s**6 wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97.8471t to kilograms.\nAnswer: 97847.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of -371*s**6\/30 - 255*s**3\/2 + 90*s - 1. Find the second derivative of h(k) wrt k.\nAnswer: -4452*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1149921 and -1149922 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/(-12) - 9\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -10*t**5\/3 + 260474*t**4 - 8751014*t**3\/3 + 26721146*t**2\/3 - 8959040*t + 4375336\/3 = 0?\nAnswer: 1\/5, 2, 7, 78131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 663*p**2 + 0 + 4102*p - 4113*p + 4.\nAnswer: -663*p**2 - 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 20680, 44917, 69154, 93391?\n\"Answer: 24237*r - 3557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-6) + (-1925997)\/(-6). What is q rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*o**2*v - o**2*x**3 + 6299*o**2*x**2 + 18*o*x - 2*v*x**3 - 23*x**3 wrt o?\nAnswer: -10*v - 2*x**3 + 12598*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 619*z**2 - 5 + 4 - 4*z + 28 - 27 to the form c*z**2 + d + l*z and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -233*t - 85 - 614 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 4*b**2 + 10*b - 19. Is u(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/8*(-90)\/(-180)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 divided by -31?\nAnswer: 27\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5494 divided by 2747?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {p: 2, h: 3, v: 3, o: 3, l: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-5)\/w**(-35)*(w**(22\/3)\/w)\/w*w**(-15))**(-23\/3) assuming w is positive.\nAnswer: w**(-1403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*j**5*t**3 - 2*j**5*t**2 + 4*j*t**3 - j*t + 12*j wrt j?\nAnswer: -100*j**3*t**3 - 40*j**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*j**3*y**2 + 240*j**3 - 24*y**2 with respect to y.\nAnswer: 10*j**3*y - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -397 and 13.27.\nAnswer: -383.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -317.5 + 318. Which is the nearest to 2?  (a) v  (b) -2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 (base 4) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6987203*g*p**2*u + g*p*u + 1279*g*p + 3*g*u + 2*p*u + 10*p wrt p?\nAnswer: -13974406*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00875188 to four dps.\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -4, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - 3*f - 5. Determine g(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 2*p + 1913, p + 203 = 3*z + 1342. Let t be z\/(-30) - 1\/5. Let u = -12 + t. Are u and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134189 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 92 = -100. What is the tens digit of (-1445)\/(-40) - (-6)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d - 1. Suppose 4*t = -2*o + 10, -o = -0*o + 3*t - 6. Suppose 4*v - 10 = 3*j - 4, -o*v = -5*j + 1. What is u(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 2*n - 1. Let x be z(-1). Suppose -5*r + 5 = x, m - 7 = -4*r - 0*r. Suppose 6*c = m*c + 36. Calculate the highest common factor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k**2 + 2 - 65*k - 362*k - 2*k**2.\nAnswer: -2*k**2 - 427*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -13590, -27220, -40850, -54480, -68110, -81740?\n\"Answer: -13630*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4187 - 4187.130035. Let d = -0.15 + 0.28. Let v = y + d. What is v rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/2)\/((54\/6)\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1169396286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 4 = 3*h. Suppose w - 35 = -4*k + 170, -256 = -h*k - w. Suppose -3*r + 0*r + k = 3*a, -3*a = -2*r + 24. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 223\/13 - (-2)\/(-13). Let n = i + -13. Suppose 3*q - 46 = v + n*v, q - 4*v - 27 = 0. Solve 4*a + q = 3*k, 0*k - 2 = -a - 3*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4762, 9504, 14246, 18988?\nAnswer: 23730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 380\/1064 + 153\/42 + (-162)\/40?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.169 and 14.\nAnswer: 14.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 41611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00248 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 5:53 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 321*j**2 - 97*j - 3. Is k(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 4*q + 2. Let g = -0.05 + 0.08. Let x = -0.37 - g. Which is the third smallest value?  (a) 0  (b) x  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -4. Suppose m*r + 11 = -16. What is the units digit of (1\/(-3))\/(3\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3079, -3502, -4679, -6988, -10807, -16514, -24487?\n\"Answer: -63*k**3 + k**2 + 15*k - 3032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*c - 2 + 5*c**3 - 12887*c**2 + 6442*c**2 - 4*c**3 + 6442*c**2 to the form x + q*c**3 + j*c**2 + h*c and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.2468 times 8193\nAnswer: 2022.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(342) + 1*sqrt(342) + sqrt(342)))\/sqrt(6)*6)\/(4*-2*1*sqrt(363)).\nAnswer: -9*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 3*r**2 + 11*r + 5. Let n be x(-5). Let s be (-5)\/(-26)*(-72)\/(-30). Which is greater: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 3*a = -2*x + 9, -4*x = -5*a - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 619 is divided by 130.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 177019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 136, 562, 1282, 2302, 3628?\nAnswer: 5266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 183942926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5383339\/150 or 35888?\nAnswer: 5383339\/150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 643456 and 30885888.\nAnswer: 30885888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 308\/4620*30\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -41 and -1111.\nAnswer: 45551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (386*b - 19*b**2 - 386*b)*(3*b - 245 + 245 - 31*b**2) as a*b + m*b**3 + l*b**2 + h + q*b**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 436\/112161*-126*(-28)\/6.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 636852185 to the nearest integer?\nAnswer: 25236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -5*s + 992, 0 = -2*w + 1 + 11. Calculate the remainder when 2618 is divided by s.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 72\/32 - (-9)\/12. Let k be ((-37)\/(-4))\/((-4)\/(-16)). Solve v = -u + 9, -f*u + k = -v + 6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1\/3, 3\/17 in decreasing order.\nAnswer: 0.5, 3\/17, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 10:33 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r**3 - 2*r**2 - r. List the prime factors of b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2\/139 + 85\/3753. Let d(k) be the second derivative of 0 + 1\/27*k**3 - w*k**4 + 2\/9*k**2 + 3*k - 1\/90*k**5. Factor d(r).\nAnswer: -2*(r - 1)*(r + 1)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/9 + (-8)\/(-3). Suppose 0*y = 4*y + c*p + 36, -y + 3*p = 16. Let t = 7 + y. Let r(m) = -4*m - 4. Give r(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 8, y: 5, k: 3, z: 1, f: 1, j: 2}. Give prob of sequence akz.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0159 - 0.0158681. Round z to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*d**3 - 92 + 46 - 2*d**4 + 2*d**2 + 2*d + 46 to the form h*d**3 + z + m*d + u*d**4 + s*d**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 81464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2137*p + 2139*p + 343 + 27 + 168. Let f(t) = 4*t**2. Calculate i(f(o)).\nAnswer: 8*o**2 + 538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 79.70015 decades?\nAnswer: 9564.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/(180\/10))\/(-4 + 1). Let a(p) be the third derivative of 12*p**2 - 1\/540*p**5 + 2\/27*p**3 + 0 + g*p + 1\/72*p**4. Factor a(h).\nAnswer: -(h - 4)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -6 - (4 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -t**4\/6 - t + 2. Let g(s) be the first derivative of j(s). Let a(o) = -4*o**2 + o**2 + o**2. Determine a(g(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - 6143b?\nAnswer: -61442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + (-7)\/((-28)\/(-8)). Which is smaller: -8\/19 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rho when three letters picked without replacement from {s: 1, h: 2, r: 2, o: 7, c: 2, z: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((-9 - -4) + -26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1079107375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q + 21*q - 1 + 1.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 10.2, -8, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*c - 8*c - 21 = -3*w, 2*w + 4*c = 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + c + 7. Suppose -4*l = 2*z - 40, -5*l = -5*z - 52 - 28. What is the remainder when l is divided by i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(5\/8)\/x)**(-3\/7)\/(x\/x**20*x**33) assuming x is positive.\nAnswer: x**(-775\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14126 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10213 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4845009290 to the power of 1\/2, to the nearest integer?\nAnswer: 69606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*j - 1711 = 749. What is the units digit of (-390)\/j*(156 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-2\/5))**(-39\/4)\/(y**(-1\/3))**(7\/4) assuming y is positive.\nAnswer: y**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9945 - 9706. Suppose 5*p + 15 = 0, -p + 953 = 2*d + 2*d. Is d less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 5*y - 2*y, 0 = 4*l + 8. Let r = 1 + y. Factor t - t**2 - r + 3.\nAnswer: -t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q - 6. Let v(o) = -1. Let f = -258 - -259. Determine f*d(s) - 6*v(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67805653?\nAnswer: 67805653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/6 and -113\/2274.\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 7*n**2 - 4*n. Let x(a) = -a**3 - 3*a**2 + 2*a. Let q be -35 + 690\/20 - -1*(-3)\/2. Give q*s(z) - 5*x(z).\nAnswer: 3*z**3 + z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**2 + 9045*i + 36186. Calculate z(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2 + 512*f - 16384.\nAnswer: -4*(f - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d (base 16) to base 9.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 182303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 - -148129543803.\nAnswer: 148129543801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 13, k: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of -5*s**4\/12 - 12*s**2 + 10651*s. Let d(f) = -7*f**2. Determine d(v(w)).\nAnswer: -175*w**4 - 1680*w**2 - 4032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -55 - -18. Let w = v - -37.000009. What is w rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 + -1)*(-12)\/20. Suppose 7 + 8 = u*j. Suppose 4*g + 3*k = 88, 2*g - 120 = -2*g + j*k. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -21, 0.82, -1, -185?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 + 0.07. Let f = 33131.970022 + -33132. Let x = v - f. What is x rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (66\/(-9) - -8)*1782\/(-108).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -4*s + 15. Suppose -w = -s*w + 8. Find the second derivative of w*i**5 - 4*i + 5*i + i wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1420342 (base 5) in base 9?\nAnswer: -44376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 145 + -147. Sort -5, 1, j.\nAnswer: -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113867?\nAnswer: 13, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -643\/8?  (a) 2\/9  (b) -2  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 5*u + 33 = -12, -u = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5151306.\nAnswer: 2, 3, 17, 50503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 106487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 140737.327 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21605260 + 232?\nAnswer: 21605522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 935 - 958. Sort 1, 5, 2, j in decreasing order.\nAnswer: 5, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189272*t + 6314 = 189118*t for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -1\/19, 5.5, 0.19, 11?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1043\/3 + -347. Find j, given that -z*j**2 + 64\/3*j - 512\/3 = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2*s = 4497, 10*x = 14*x + 5*s - 18027. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 315, -1, 1 in increasing order.\nAnswer: -1, 1, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2 = 6. Let f(h) = -h**3 - 8*h**2 + 54*h + 101. Calculate the remainder when f(-12) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30.9+-17655\nAnswer: -17624.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 14.968 from 38.5011.\nAnswer: 23.5331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 AM and 4:52 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a + 10*a**3 - a.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.4 + 0. Let w = 5.5 + -5. Put w, -0.2, u in decreasing order.\nAnswer: w, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-5) - (2469\/(-30) - 11). Let k = o - 93. Which is the second smallest value?  (a) -4\/9  (b) 1\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12605\/5526 + -1\/307. Let m be 1 + 0 + (4 - 2). What is the common denominator of m + -2 + 198\/(-20) and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-3) + (-14)\/(-6). Let g = 8 + -6. Let z = 3 - g. What is the biggest value in r, z, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2613359945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5230830 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10\/3?  (a) -3\/8  (b) -8  (c) 5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93233881?\nAnswer: 13, 23, 163, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 - 7*m**2 + 4. Calculate the remainder when -4*(-155)\/20 + -8 is divided by q(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (219438\/(-15) + 5)\/((-1)\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4*q**3 - 4*q + 0*q**3 + 0*q**2 + 3 - q**2 + 0*q**2. Is c(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (106 - 118 - 2718)*(2*m**2 + 2*m**2 + 4*m**2) to the form w + f*m + r*m**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h + 77. Let f be z(59). Solve -15*b + f*b + 18 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 10*t - 2 = 0. Solve 0 = p + t*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/4  (b) -93\/8  (c) 3  (d) 4  (e) 201.12  (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-30)*w*w*w**(-1\/17))\/((w**(-2)\/w*w*w)\/w*w*w*w*w*w**(-1\/9)) assuming w is positive.\nAnswer: w**(4751\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-72)\/324 + (-11333)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 10540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40245250*f**2 - 44341143*f wrt f?\nAnswer: 80490500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 9. Let r = v - -7. Suppose -2*i + 72 = i. What is the highest common factor of r and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-4) + (-2)\/(-4). Find the second derivative of 3*j - j**5 - b*j**5 - j wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1479\/7 + -211. Let w = 5 + -7. Is w not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 - 0.1. Let j = -182 - -165. Let d = j - -14. Which is the second biggest value?  (a) d  (b) -7  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (65\/(-31460))\/(18\/(-288)*2)\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide 4399923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z + 2812 - 2812. Let s(o) = o**3 + 2*o**2 + 5*o - 1. What is -s(l) - 5*v(l)?\nAnswer: -l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 3*w**2 + 48930*w + 30266712 = 0.\nAnswer: -15666, -644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -16*t**3 + 31*t**2 - 17022*t + 34046. What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 38801*b**3 + 0*b - b - 77594*b**3 + 4774*b**2 + 38794*b**3 as g + p*b + r*b**3 + w*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.17?  (a) -1  (b) -2\/5  (c) 7  (d) 9\/2  (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 27 = -3*t + 4*t, -2*t - 24 = -a. Suppose 5*d = 2 - 12. Let i be (d\/(-18))\/((-3)\/12). Sort a, 0.3, i, 0.5 in descending order.\nAnswer: a, 0.5, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 780.57011 + -780.7. What is b rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.8 + -3.4. Let s = 1.2 + r. Let t = -0.8 - -1. Put -3, s, t in ascending order.\nAnswer: -3, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.3 + -2.5. Let u be 2\/5 - (-72)\/20. What is the second biggest value in u, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -31.9 and 1.3641.\nAnswer: -43.51479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 62 + -48. Let q = -8 + b. What is the smallest value in q, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30117\/265 - 568\/5. Let t = -34559\/3180 - j. What is the common denominator of 1\/(-4) - (2 + 3) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12*i**3 - 4*i - 58 wrt i.\nAnswer: 36*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/16?  (a) 2\/5  (b) 5  (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 72  (b) 0.3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.5 times -699?\nAnswer: 19222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11360, 22700, 34020, 45320, 56600?\n\"Answer: -10*d**2 + 11370*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33\/373 + 81195\/7087. Are u and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*s**5 - 540*s**4 - 545*s**3 = 0. What is s?\nAnswer: -1, 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -14, 2, -28 in descending order.\nAnswer: 2, 1, -14, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 3:27 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (11 + -15 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 + 8*z**2 - 6*z - 12. Let i(w) = w**2 - w - 1. Suppose -85*l = -2 - 83. Calculate l*j(p) - 6*i(p).\nAnswer: -p**3 + 2*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 232 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 535059576 by -6.\nAnswer: -89176596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 208?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -6be (base 16) in base 12?\nAnswer: -bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 137a15 + -294?\nAnswer: 137771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 336 or 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -2*r**3 + 6*r**2 + 108*r = 0.\nAnswer: -6, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139706615.\nAnswer: 5, 31, 901333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.04 - 8.04. Which is the third biggest value?  (a) -58  (b) 5  (c) i  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g + 5. Determine v(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-10)*117\/(-5616)*20\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of -4*w + 5\/2*w**2 + 2. Let z(g) = 3*g - 2. Suppose 122 - 106 = 4*u. Give u*f(o) - 7*z(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 12:36 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.087707 take away -0.06?\nAnswer: 0.147707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 3:42 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -5*a**2. Let n(f) = 2034*f. Calculate n(i(s)).\nAnswer: -10170*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 5*q + 1627, 2045 = 5*u - 4*q - 0*q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 590937 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 (base 5) in base 6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*x + 2 = 20*x - 3*h, -5*h + 5 = 5*x. Calculate the remainder when 81 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 11. Suppose 14 = 2*v + 4*d, 4*v - 3*d - 21 = -4*d. Let n be ((-15)\/v - -7) + 1. Solve -n*i - 13 = -s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 44 - 14. What is the least common multiple of 8 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -69546.6 and -1.5?\nAnswer: 104319.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + 6*w**2 - 8*w - 8. Let j be g(-7). Let p(v) = -6*v + 1. Let c be p(j). Suppose c*l - 2*l - 10 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h - 2*h**4 + 0*h**4 + 3*h + (-32 + 3*h**3 - 49 + 25)*(-3*h - h + 3*h) to the form m*h**4 + b*h**2 + a*h + u + o*h**3 and give a.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -201220122240 - -3?\nAnswer: -201220122232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 5, -14, 0, -11\/3 in ascending order.\nAnswer: -14, -11\/3, -0.4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10337*n - 9263*n - 3675*n.\nAnswer: -23275*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 - -36. Suppose 0 = n*p + 5*o + 3830 + 4095, -p - 3955 = 5*o. What is p rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 35305 + -35269. Suppose l - 3*l = -134. What is the remainder when l is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put -17, -5, 4, 28, -3 in increasing order.\nAnswer: -17, -5, -3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00786 to four decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -109, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 36 - -577. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -4, -0.3, 5, 352487?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 869 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -76b (base 12) in base 2?\nAnswer: -10001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*o**2 - 50136089*o + 50136089*o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1637*j**2 - 224 + 672*j - 304 - 1784*j**2 + 0*j**3 + 3*j**3 = 0. Calculate j.\nAnswer: 1, 4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 182407618 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 1128573 = 3*o + 884478. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of 1\/45*g**6 - 1\/10*g**5 - 8\/3*g**2 + 4\/3*g**3 - 35*g + 0 - 1\/9*g**4. What is w in s(w) = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 260384949?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, -27, -9, 4 in descending order.\nAnswer: 4, -9, -27, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 763 a factor of 386417837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -4*n + 1131, -4*n + 527 = r - 614. Solve 286*c = n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -7*v**3 - v**2. Let t be w(1). Let z = -6 - t. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -53 - -52.9999612. What is i rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - z + 196 = 0. Which is smaller: z or 29?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20615698 times 4?\nAnswer: 82462792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.022938 rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 - 7 - 6*-1. Suppose 0 = -v*t + 37 + 11. Let f(k) = 5*k - t*k + 0*k. Let l(p) = p. Determine l(f(a)).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 10:17 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/5)\/i)**(2\/43)\/(i**(-1\/3)\/i**(-2)) assuming i is positive.\nAnswer: i**(-1093\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20*k**5*s**3 - 5*k**5 - 165*k**2*s**3 + k**2*s wrt k.\nAnswer: 1200*k**2*s**3 - 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 17*r - 5. Let t(k) = -13*k + 2. Let y(a) = 7*a - 1. Let h(o) = 3*t(o) + 5*y(o). Let i = -10 + 1. Calculate i*h(q) - 2*b(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -20*l**4 - 5175*l**3 + 1315*l**2 + 5175*l - 1295 = 0?\nAnswer: -259, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 1, -n - 6*d = -2*d + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 466413 + -135106\nAnswer: 331307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -1060*y + 3309. Give j(3).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 474*n - 62*n + 2587*n + 0 + 0 - 2*n + n - 3*n + 3*n + (3*n - 2*n - 2*n)*(2 - 2 + 2) to j + f*n and give f.\nAnswer: 2996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-1)*57\/(731367\/182).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*-2)*6 + sqrt(136) + (sqrt(136) + sqrt(136)*-2)*-1)\/(sqrt(128)*-1 + -1*sqrt(512)).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 854*s + 2. Let o(a) = 32*a**2. Calculate o(c(f)).\nAnswer: 23338112*f**2 + 109312*f + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4 and -7930667824?\nAnswer: 7930667828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -18. Let n(a) = -21*a + 174. Let d be n(8). Solve d*r = w*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o**2 - 59*o + 30. Let x be a(-20). Find the second derivative of 6*j**5 + 312*j - 2*j**5 - x*j**2 - 2 + 5 - 325*j wrt j.\nAnswer: 80*j**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27261245 is divided by 2478293.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51831 is divided by 12953?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 88, -41 in increasing order.\nAnswer: -41, 0.4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 2*o - 10 + 36 = 0, -2*i + 71 + 98 = -5*i + 10*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 2 + (-4 - -9 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ihcw when four letters picked without replacement from {c: 1, i: 1, o: 1, h: 1, w: 4}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -9*p + 8*p + 9, 3*y + 6 = 0. Let a be 186\/26 - (-5 + 402\/78). Solve 3*t - 3 = p*c, -3*c + 4*c = 5*t + a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -186 + 207. Solve 26 = -5*a + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 117412056 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/51  (b) 2\/5  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 5 - 1)*(149*c**3 - c**2 + 3*c**2 - 97*c**3 + (-c + c - c**2)*(-c + 0*c - 2*c)) to the form v + d*c**2 + q*c + s*c**3 and give s.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1.789*-0.41\nAnswer: 0.73349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 - 13*d + 10. Let z(l) = 14*l**3 - l**2. Let k be z(1). Let o be -39*(k\/3 + -4). Let s be y(o). What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51 - 24. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 8 = 2*a, 4*a + 9 = 4*l - 11. Let d(b) = -4 - 2*b + l + 4. Let r = 6 + -4. What is d(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.63 - -1.03. Let x = 0.94 - 0.6. Let p = x + h. Sort 8, p, 5 in descending order.\nAnswer: 8, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 12. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 + 1644949*t + 8224720.\nAnswer: (t + 5)*(t + 1644944)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7\/2 of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccyycycycyc. Give prob of sequence yycy.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**2 + 56470*q - 112920.\nAnswer: -5*(q - 11292)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from htiiv. Give prob of sequence iti.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - 6*k**2 + 6*k + 1. Let m be f(5). Solve q + q = -m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9.21004 and 0.227?\nAnswer: 2.09067908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*c - 99*c = -27*c - 333 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 9:26 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-11214)\/(6 - 90\/12). Suppose -10*s = -16*s + q. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5187\/(-286) + (-315)\/(-2310)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*g**2 - 55*g**2 - 40*g**2 + (-2*g - 2*g + 2*g)*(4 - g - 4) - 2*g**2 + g**2 + 4*g**2.\nAnswer: -74*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8651921.\nAnswer: 2621, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 + 0\/(-2 + 4) is divided by (-264)\/(-26) - (16\/520)\/((-2)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 1. Suppose -235 = -2*g - 225. Suppose 4*a - g*y = -2*y + 19, a + 5*y - 22 = 0. Solve 0 = 4*m + 3*h - 16, b*m - h = 6*m - a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-1))**31*i**8\/(i*i**3))**(-7))**(-1) assuming i is positive.\nAnswer: i**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d**3*x**4 - 306*d**3*x**2 + 24*d**3 + 232*d**2 + 3 wrt x?\nAnswer: 4*d**3*x**3 - 612*d**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*i**2 - 2*i**2 - 4*i**5 - 4*i**2 wrt i?\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -5 - (5 - 2 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -84*q + 379. Determine x(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1603833.3 months in decades?\nAnswer: 13365.2775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 45 + 95 = 0. Solve -v = 4*q + 10, -3*q - q = 3*v + p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -740*r - 5890 = 5382 + 3528 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -175 + -5?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in 13, 1, 2\/3, -0.043?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 161808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3*q**3 - 16*q**2 + 4. Let m(y) = -4*y**3 + 16*y**2 - 3. Let a(k) = 3*g(k) + 4*m(k). What is the third derivative of a(r) wrt r?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4 + 43*w**3 - 123*w**2 + 121*w - 40.\nAnswer: -(w - 40)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 6*s**2 - 4. Let c(p) = 13*p**2 + p - 10. Let j(q) = 2*c(q) - 5*w(q). Let h(d) = -5*d. Calculate j(h(o)).\nAnswer: -100*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of 0 - 187*y + 127\/2*y**2 - 323\/6*y**3. What is the derivative of x(t) wrt t?\nAnswer: -323","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -271.1 - -301. Let k = -30.2 + c. What is the fourth smallest value in 3, -2\/5, 0.5, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 56286 = 3*b, -173*s + 176*s = 4*b + 84432. Does 306 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.42295 centimeters in kilometers?\nAnswer: 0.0000642295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -434*a*r*s + 7259*a*s + 2*a*x + 4*r*s*x - 2511348*r*x wrt a.\nAnswer: -434*r*s + 7259*s + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -6023*l + 84317. Calculate i(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1e6 (base 15) to base 8.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 828115 and 45?\nAnswer: 7453035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/6*23\/(-345)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 AM and 12:29 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 PM and 11:49 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + -28 - (-3 + 2). Suppose -63*x = -65*x + 38. Let j = x - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37.46 + 1.46. Let p = d - -35.462. Round p to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 h when four letters picked without replacement from hehheehh.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -451 = 8*n - 1763. Suppose -5*r + 832 = 7*t - 8*t, -t = r - n. Suppose -4 = 3*w - 13, -4*w + r = 2*q. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3 + sqrt(2057) + 1*sqrt(2057) + sqrt(2057) + 3*(sqrt(2057) + -2*sqrt(2057)) + -4*(1 + sqrt(2057))*5 + 3 + 4)**2.\nAnswer: 35200*sqrt(17) + 4115280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -24 + 11 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**2 + 46*n - 8. Let b be w(-16). Let t = -250 - -466. What is the highest common divisor of b and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25280 - -556417\/22. Let w = 167\/132 - r. Find the common denominator of 151\/12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3184*y**3 + 2*y**2 - 2029*y wrt y.\nAnswer: 19104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w = -120 + 1641. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 <= 18\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -h**5\/3 + 61*h**4 + 250*h**3 - 362*h**2\/3 - 751*h + 561 = 0.\nAnswer: -3, 1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -30*2*8700\/18. Round h to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of -1\/2*r**3 + 2*r**2 + 12*r - 1\/8*r**4 + 1\/30*r**5 + 0. What is x(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1045 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - 34123c?\nAnswer: -34123a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -96573 or -96173?\nAnswer: -96173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11613 - -101?\nAnswer: -11512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**2 + 4*b - 7. Let o be q(-5). Let c = -6 + o. What is the common denominator of c and 1\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*3)\/(4860\/(-720))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -709*w**3 - 16*w**2 - 1095*w - 23 wrt w.\nAnswer: -4254*w - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -41*z**2 + 18*z**2 - 40*z**2 + (1 + 1 - 1)*(-3*z**2 + 3*z**2 - 3*z**2) - z**2 + 3*z**2 + z**2 + (-4*z + 0*z + 2*z)*(0 - z + 0) + z - z**2 - z.\nAnswer: -62*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11982869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2000 (base 4) in base 7?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10030 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -26. Let k = h + -14. Calculate the highest common factor of k and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -274*a*i**2 + 5226*a*i - a + 6*i**2 wrt i?\nAnswer: -548*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(2\/11))**(-24)*n**(-9\/4)*n**(-13) assuming n is positive.\nAnswer: n**(-1919\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + (11 - 55) + 80.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 306325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 + -24 - (8 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*g - 36*g - 70*g = 3054 + 3372 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 266540719*a**4 + 847745236 wrt a.\nAnswer: 1066162876*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-9)\/12 - (327\/545 - 2094\/40).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14073 is divided by 14054?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = 244 + 12. What is the highest common factor of 64 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-5)\/(-650)*-4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 7:10 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -45, 136, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12291806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or -864.91498?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1533, -2962, -4391, -5820?\n\"Answer: -1429*x - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 + 40 - 16 + 2*b + 14.\nAnswer: 2*b + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/11 in -1\/3, 0, -35.2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 4*v**3 - 353*v**2 - 1080*v + 7194. Calculate t(91).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7326 and 220132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/15 and 3 - (33\/(-15))\/(-1) - (-4964)\/(-6930).\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 2. Let r be ((-7)\/(-42))\/(1\/(-6)). Let q = -39\/2 + 19. What is the nearest to d in r, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 273 is divided by 225?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 - (31 + (18 - 8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.4379 kilograms in micrograms?\nAnswer: 80437900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 139a (base 14) to base 8\nAnswer: 6614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 982248?\nAnswer: 2, 3, 40927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 123257\/9 - 353746339\/25830. What is the common denominator of -149\/6 and u?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 90961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 673 = 661. Solve s - 2*k - d = -3*s, 2*s - 2*k = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35295081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1145127 is divided by 179?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/56)\/(45\/(-6480))*28\/8.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c + 1 - 1)*(0*c**2 + c**2 - 4*c**2)*(102*c + 69*c - 29*c) as a + d*c**4 + u*c**2 + h*c + f*c**3 and give d.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*s**3*v**3*y - 58*s**3*v - 139*s*v**3*y + s*v + 3*v**3*y - v*y wrt s?\nAnswer: -48*s*v**3*y - 348*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + 3)\/((-8)\/(-4)). Suppose -3*s = -4*j - 8, -2*s - 4 = 2*s + 2*j. Suppose -4*k - 3*r + 24 = s, f*k - 5*r = -k + 18. Solve -k*h = -3*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2454493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/5 + 8056026*r\/5 + 3222412.\nAnswer: -2*(r - 4028015)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*j**2 + 0*j**3 + 6*j**3 + 7*j**4 - 6*j**3 + 16*j**2 wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 PM and 2:01 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c*(c*c\/(c\/(c*c\/c**(-2\/19))))\/c))\/(c**(7\/5)*c))\/(c**4\/c**16))**(2\/67) assuming c is positive.\nAnswer: c**(1424\/6365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2844?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 48\/43 in 2\/7, 0.055, 41?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2084181216 and 1248.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 + -1 + (1 - 2). Suppose -w*f + 8 = -f. Calculate the highest common divisor of 40 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - (2 - 9))\/(3 - (-180)\/(-56))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + sqrt(26)\/sqrt(2) + -3)**2 - 1*sqrt(208) - ((2*(sqrt(117) + (sqrt(117) - sqrt(117)*-3) - sqrt(117)) + sqrt(117) + sqrt(117))\/sqrt(9))**2.\nAnswer: -1239 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -23 + 5*b + 22 + 13*b**3 - 11*b**3 - 2*b**2 in the form l*b**3 + p*b**2 + i*b + n and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of 107*p**6\/120 + 517*p**5\/30 - 44*p**2 + 16. What is the third derivative of o(b) wrt b?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28671406*w**2 - 26323483*w wrt w.\nAnswer: 57342812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 241016615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u**3 + 19*u + 1 - 19*u + (-5*u + u + 3*u)*(-2*u**2 + 0 + 0).\nAnswer: -2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5238471 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: Two letters picked without replacement from {y: 11, k: 1, d: 2}. Give prob of sequence yy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 7 + 5. Let n be (-7)\/3 - (-12)\/v. What is the biggest value in n, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/3, -34\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k*k\/(k\/(k*k**(-4\/5)*k))*k**(1\/5))\/(k**(1\/10)\/k*k**(-1\/6)) assuming k is positive.\nAnswer: k**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhohhhhhhhho. What is prob of sequence hohh?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*u + 102 = -3*u. Let s be (1 - u) + -14 + 3 + 7. Let d be 7\/s + 18\/(-54). Solve -d*a - 9 = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 68 = w. Let d = w + 38. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -2, 2\/21, 17663\/14?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*2*(-4)\/(-16)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 689 - 1105. Let t = w + 410. Put t, -0.4, -1\/4 in ascending order.\nAnswer: t, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 0.05\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of g**5\/50 + g**4\/5 + 3*g**2\/2 + 15*g. Let z(y) be the first derivative of k(y). Find t, given that z(t) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 237278834 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 - 9*w**2 + 5*w + 10. Let s(c) = -5*c**2 + 22*c - 20. Let v be s(8). Let y = v - -172. What is b(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 2) + -5 + (-5 - -15)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**3 + 8*a**3 + 2*a**3 - a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(-2*sqrt(12)))\/((sqrt(704) + sqrt(44))\/sqrt(11)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 2*t + 17 = -z, 1 = 3*z - 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3858 take away -2?\nAnswer: 2.3858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1700579, -1700663, -1700761, -1700879, -1701023, -1701199, -1701413?\nAnswer: -1701671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*u**3\/3 + 721*u**2\/3 - 506*u\/3 - 63.\nAnswer: -(u - 27)*(u - 1)*(26*u + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, -3, -31, -0.28862?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**2*h*o - 53*f**2 + 4799*f*h*o - f*h + 5791*h*o - 2*o + 65 with respect to f.\nAnswer: 6*f*h*o - 106*f + 4799*h*o - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 2:12 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 264 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 812927 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -649*l = -546*l + 515. Put l, -10, 95 in increasing order.\nAnswer: -10, l, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -157744.\nAnswer: 1\/157744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003837922 rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r**2\/11 + 14596*r\/11 - 14594\/11 = 0 for r.\nAnswer: 1, 7297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**2 - k + 1. Let q(d) = 8*d**3 - 13*d**2 + 93*d - 6. Let t(w) = 6*p(w) + q(w). Find the second derivative of t(l) wrt l.\nAnswer: 48*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122221105 (base 7) to base 2\nAnswer: 11101010100011101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (23 + -11 + -25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -3414.38684 to the nearest integer.\nAnswer: -3414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-one quarters of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 + -13. Let y be (7146\/12)\/(3\/4). Suppose 8*a - y = n*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78470795 to the nearest integer?\nAnswer: 8858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 20. Suppose -5 - 15 = -q. Let v = q + f. Calculate the lowest common multiple of 11 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9817285.251 rounded to the nearest 100?\nAnswer: -9817300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -223302?\nAnswer: 223304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/12 + 34\/(-12). Let x be -9*((-28)\/(-12) - 2). Is x < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5174 (base 15) to base 4\nAnswer: -10030321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 2)*(-41*q + 100*q + 183*q) - q - 4*q + q.\nAnswer: 480*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gdrwydryywrydyg. What is prob of picking 1 d and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 172, 1094, 2630, 4780, 7544, 10922, 14914?\n\"Answer: 307*i**2 + i - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/324 and -149\/36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29278 divided by -4.\nAnswer: -14639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*p + 2*d = 42*p + 2, 5*p + 4*d = 10. Let s(c) be the first derivative of c**2\/2 - 2*c + 2. Let z be s(p). Solve z*i + i = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5485, -5482, -5477, -5470, -5461?\n\"Answer: n**2 - 5486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-116 + 19*u**2 + 114 - 5*u + 9*u**2)*(3 - 2 - 3)*(0 + 3 - 1)*(u - 4*u - u).\nAnswer: 448*u**3 - 80*u**2 - 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, -7, 203, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18816 divided by 4.\nAnswer: 4704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 227 less than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 352 - 745. Let q = 2048 + l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -547 or -6933?\nAnswer: -6933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 135 and 105.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102951 is divided by 495?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of -k**4\/4 - 11*k**3 - 144*k**2 - 256*k + 615. Suppose b(m) = 0. Calculate m.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37814084 to the nearest integer?\nAnswer: 6149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 15*s + 84 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + 0 - 1\/1)*(-59)\/472. Find g, given that 0 + 1\/2*g**2 + t*g**4 + 1\/2*g**3 + 0*g = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yqttlltlpystt. Give prob of sequence lls.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7088 bigger than 77976\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -88*i**2 + 15*i**2 + 2*i + 3*i**2 in the form f*i**2 + w + u*i and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -50*y - 217. Let t be x(-5). Solve 0 = 878*q - 867*q + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125383?\nAnswer: 125383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*q**3 - 174*q**2 + 512*q**2 - 51*q**2 - 287*q**2 + q**3 + 0*q**3.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**5 - 35*f**4 + 90*f**3 - 100*f**2 + 40*f.\nAnswer: 5*f*(f - 2)**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -32868116?\nAnswer: 98604348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.13554 rounded to three dps?\nAnswer: 1.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 15909877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16.888 - 0.312. What is k rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 21 in 26, -1, -16, 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -6*k - 3. Let x be f(-1). Let t = -10 + 15. Let l = -3 + t. Solve l*a - x = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20*l + 20*l + 51*l - 1 + 1 + l + (-3 + 3 - 2)*(-l + 1 - 1) + (0*l - l + 2*l)*(-7 + 2 + 3))*(-8 + l + 4 + 1) to the form m*l**2 + o + q*l and give q.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/((-9)\/6*9\/((-63099)\/38))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217*a**2 - 422*a**2 + 208*a**2 + 13*a.\nAnswer: 3*a**2 + 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7 + 3421b3?\nAnswer: 3421a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 330926610.\nAnswer: 2, 3, 5, 7, 19, 82939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/761228 and -89\/4?\nAnswer: 761228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*(4 + ((sqrt(80) - sqrt(80)*2) + sqrt(80) - sqrt(80)) - sqrt(80) - (sqrt(80) - (1 + (0 + sqrt(80) - sqrt(80))))))**2 + 2 + 5.\nAnswer: -3718 + 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2540*w - 1270*w - 1277*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 5) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9087.934mm in micrometers?\nAnswer: 9087934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/9  (b) -2\/3  (c) 51  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3769, -7535, -11301, -15067, -18833, -22599?\n\"Answer: -3766*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l*l*l*(l*l**(-18))\/l*l*l)*(((l\/(l*l**(-7)\/l))\/l)\/l)\/l*l assuming l is positive.\nAnswer: l**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 6*d - 6. Let r be z(7). Let w = 4.9 + 0.1. Which is the smallest value?  (a) r  (b) w  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.221 - 1303.779. Let w = d - -1303.99311. What is w rounded to 4 dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12479738.01 rounded to the nearest one thousand?\nAnswer: -12480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/1058709 and -29\/2117418?\nAnswer: 2117418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 659340 and 219780.\nAnswer: 659340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*s - 14*s**2 - 11*s**2 + 23*s**2 to the form l + q*s**2 + f*s and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000275339472 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38315935 and 1435.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 137.2083+39\nAnswer: 176.2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -31 + 498?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = d - 17. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 3:04 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 779 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 17477, 17521, 17565, 17609, 17653, 17697?\n\"Answer: 44*w + 17433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - -4) + -3 + 9. Suppose j*c - 600 = 1536. What are the prime factors of c?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17545 = 25*p - 17395. Which is the nearest to 0?  (a) 0.14  (b) 2\/9  (c) p  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -147 - -150. What is the first derivative of 4*o**3 - 54 + 18*o**3 - 38*o**s + 3*o**3 wrt o?\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10985*s**4 - 37103950*s**3 - 41575479660*s**2 - 15227319758760*s + 254433136625280 = 0. What is s?\nAnswer: -14706\/13, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 7:47 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 - 16.460982546?\nAnswer: -16.470982546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 3\/4, -2\/9, -511?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/9573948 and 143\/72.\nAnswer: 19147896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.09023795 - -0.0903. Round q to six dps.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1864 - 5*t + 2019 - 5561 + 1677.\nAnswer: -5*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 10:18 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 282233878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-12))\/((-3828)\/928)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 12:27 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2, 22, 20, -10, -74, -178, -328, -530?\n\"Answer: -c**3 - 5*c**2 + 42*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -205*m + 108*m - 6 + 100*m. Let s(o) be the second derivative of -o**3 + 13*o**2\/2 + o. Give -4*s(f) - 9*u(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 4*o**4 - 24*o**3 - 96*o**2 - 104*o - 43. Let t(f) = -2*f**4 + 12*f**3 + 48*f**2 + 52*f + 21. Let y(m) = 6*g(m) + 14*t(m). Solve y(h) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1684 - 1690.014. Let i = 1.016 - a. Let r = i - 7. What is r rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 620\/25 + (-2)\/(-10). Suppose -6 = 2*v - 3*c + j, 2*v = -3*c - 49. Let z = -14 - v. What is the lowest common multiple of 36 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10.707 - 0.293. Let j = 53.9 + y. Round j to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 7758*s + 3. Let w(m) = -3*m + 11. Determine w(k(o)).\nAnswer: -23274*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2699514806?\nAnswer: 2, 1657, 814579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y + 1. Let i be n(-4). Let j = i + 5. Let w(k) = -16*k**2 + 176*k + 10. Let u be w(11). Solve j*z = -0*z - u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}